Bio-Rad Laboratories, Inc. v. 10x Genomics Inc.

Case: 19-2255 Document: 58 Page: 1 Filed: 08/03/2020

United States Court of Appeals
for the Federal Circuit
______________________

BIO-RAD LABORATORIES, INC., THE
UNIVERSITY OF CHICAGO,
Plaintiffs-Appellees

v.

10X GENOMICS INC.,
Defendant-Appellant
______________________

2019-2255, 2019-2285
______________________

Appeals from the United States District Court for the
District of Delaware in No. 1:15-cv-00152-RGA, Judge
Richard G. Andrews.
______________________

Decided: August 3, 2020
______________________

EDWARD R. REINES, Weil, Gotshal & Manges LLP, Red-
wood Shores, CA, argued for plaintiffs-appellees. Also rep-
resented by CHRISTOPHER SHAWN LAVIN, DEREK C.
WALTER.

E. JOSHUA ROSENKRANZ, Orrick, Herrington & Sutcliffe
LLP, New York, NY, argued for defendant-appellant. Also
represented by ELIZABETH MOULTON, Menlo Park, CA;
MELANIE L. BOSTWICK, Washington, DC; AZRA
HADZIMEHMEDOVIC, Tensegrity Law Group LLP, McLean,
VA; MATTHEW D. POWERS, ROBERT LEWIS GERRITY,
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2 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

Redwood Shores, CA.

STEVEN R. TRYBUS, Locke Lord LLP, Chicago, IL, for
amicus curiae The Broad Institute, Inc.
______________________

Before NEWMAN, O’MALLEY, and TARANTO, Circuit Judges.
O’MALLEY, Circuit Judge.
Bio-Rad Laboratories, Inc. and the University of Chi-
cago (collectively, “Bio-Rad”), accused 10X Genomics Inc.
(“10X”) of infringing three patents: U.S. Patent Nos.
8,889,083 (“’083 patent”); 8,304,193 (“’193 patent”); and
8,329,407 (“’407 patent”). The United States District Court
for the District of Delaware held a jury trial in November
2018. The jury found all three patents valid and willfully
infringed. It also awarded damages in the amount of
$23,930,716. Post-trial, the district court denied 10X’s mo-
tion for judgment as a matter of law (“JMOL”) under Fed-
eral Rule of Civil Procedure 50(b), rejecting 10X’s
arguments that (1) the accused products do not infringe; (2)
10X’s infringement was not willful; (3) the asserted claims
are invalid; and (4) Bio-Rad had failed to present a legally
sufficient damages case. Bio-Rad Labs. Inc. v. 10X Ge-
nomics, Inc., 396 F. Supp. 3d 369 (D. Del. 2019). The dis-
trict court also granted Bio-Rad’s motion for a permanent
injunction. Bio-Rad Labs. Inc. v. 10X Genomics, Inc., No.
15-cv-152-RGA, 2019 WL 3322322, at *1 (D. Del. July 24,
2019). This appeal followed. For the reasons discussed be-
low, we affirm-in-part, reverse-in-part, vacate-in-part, and
remand. Specifically, we affirm the judgment of infringe-
ment of the ’083 patent and the entirety of the jury’s dam-
ages award. We reverse, however, the district court’s
construction of the asserted claims of the ’407 and ’193 pa-
tents and vacate the judgment of infringement of those pa-
tents. We remand for a new trial on the issue of whether
10X’s accused products infringe the ’407 and ’193 patents
under the proper claim construction. We also vacate the
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 3

district court’s injunction, but only with respect to 10X’s
Linked-Reads and CNV product lines.
I. BACKGROUND
A. The Claimed Technology and
the Patents-in-Suit
The patents-in-suit are directed to systems and meth-
ods for forming microscopic droplets (also called “plugs”) of
fluids to perform biochemical reactions. Microfluidic sys-
tems—often called “labs-on-a-chip”—allow scientists to
conduct microscale chemical and biological reactions. For
example, the technology allows scientists to analyze and
compare DNA, RNA, and proteins within large numbers of
individual cells. This technology therefore has applica-
tions in medical diagnostics and high-throughput screen-
ing.
Microfluidic systems utilize chips that have “microflu-
idic channels,” hair-width pathways through which cells
and fluids flow. In these systems, biological samples can
be partitioned into single-cell-width droplets, which func-
tion as mini-test tubes. Each droplet holds a single cell and
the required reagents for the biochemical reaction. Drop-
lets are formed by “pinching off”—flowing a carrier-fluid
and substrate/plug-fluid (which are immiscible with each
other) through the microfluid channels and applying pres-
sure. The biochemical reactions may occur “on chip,” i.e.,
in the channels inside the microchips, or, the droplets may
be collected to allow the reactions to occur “off chip.”
The parties agree that claim 1 of the ’083 patent, copied
below, is representative.
1. A microfluidic system comprising:
a non-fluorinated microchannel;
a carrier fluid comprising a fluorinated oil and a
fluorinated surfactant comprising a hydrophilic
head group in the microchannel;
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4 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

at least one plug comprising an aqueous plug-fluid
in the microchannel and substantially encased by
the carrier-fluid, wherein the fluorinated surfactant
is present at a concentration such that surface ten-
sion at the plug-fluid/microchannel wall interface is
higher than surface tension at the plug-fluid/carrier
fluid interface.
’083 patent, claim 1.
During prosecution of the ’083 patent, the inventors
amended the claims to overcome a rejection based on the
prior art U.S. Patent No. 7,294,503 (“Quake”). Quake dis-
closed microchannels formed or coated with Teflon (a fluor-
inated polymer) or other fluorinated oils. The inventors
distinguished the prior art by arguing that, unlike Quake,
the as-filed application for the ’083 patent attempts to pre-
vent droplets from sticking to the walls of microchannels
and requires that the “surfactant should be chemically sim-
ilar to the carrier fluid and chemically different from the
channel walls.” J.A. 16640. The inventors amended the
claims to require non-fluorinated microchannels and a
fluorinated surfactant, which would not react with each
other. 1 They explained that, as amended, the claims were

1 The amendment at issue added the claim limita-
tions shown in underlined text below:
A microfluidic system comprising:
a non-fluorinated microchannel;
a carrier fluid comprising a fluorinated oil and a
fluorinated surfactant comprising a hydrophilic
head group in the microchannel;
at least one plug comprising an aqueous plug-fluid
in the microchannel and substantially encased by
the carrier-fluid, wherein the fluorinated surfactant
is present at a concentration such that surface
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 5

distinct from Quake, which did not teach microchannels
and carrier fluids that were chemically distinct. Rather, in
their view, Quake taught coating the microchannels with a
fluorinated oil and using fluorinated surfactants in the car-
rier fluid. The fluorinated microchannels and surfactants
could, therefore, react with each other.
The other two asserted patents, the ’407 and the ’193
patents, are continuations of the same parent application.
Claim 1 of the ’407 patent is reproduced below:
1. A method for conducting a reaction in plugs in a
microfluidic system, comprising the steps of:
providing the microfluidic system comprising at
least two channels having at least one junction;
continuously flowing an aqueous fluid containing at
least one biological molecule and at least one rea-
gent for conducting the reaction between the biolog-
ical molecule and the at least one reagent through
a first channel of the at least two channels;
continuously flowing a carrier fluid immiscible with
the aqueous fluid through the second channel of the
at least two channels;
forming at least one plug of the aqueous fluid con-
taining the at least one biological molecule and the
at least one reagent by partitioning the aqueous
fluid with the flowing immiscible carrier fluid at the
junction of the at least two channels, the plug being
substantially surrounded by the immiscible carrier
fluid flowing through the channel, wherein the at

tension at the plug-fluid/microchannel wall inter-
face is higher than surface tension at the plug-
fluid/carrier fluid interface.
J.A. 16635.
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6 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

least one plug comprises at least one biological mol-
ecule and the at least one reagent for conducting the
reaction with the at least one biological molecule;
and
providing conditions suitable for the reaction in the
at least one plug involving the at least one biological
molecule and the at least one reagent to form a re-
action product.
’407 patent, claim 1.
The only independent claim of the ’193 patent is iden-
tical to claim 1 of the ’407 patent, except that it specifies
“an autocatalytic reaction” instead of a biological reaction.
10X maintains that its arguments regarding the ’407 pa-
tent “apply equally to the ’193 patent unless otherwise
noted.” Appellant’s Br. 44 n.3.
B. The Accused Products
10X has five accused product lines: Single Cell 3’ Gene
Expression, Linked-Reads, Single Cell V(D)J, Single Cell
ATAC-seq, and Single Cell CNV. 10X claims to have suc-
cessfully invented non-infringing alternatives for three of
its five product lines but has not yet been able to design a
replacement for two: Linked-Reads and Single Cell CNV.
Each product line uses a hardware instrument, micro-
fluidic chips, and a variety of specialized reagents. The
hardware instrument is called a “controller.” The disposa-
ble microfluidic chips, which fit in the instrument, have
networks of “microfluidic channels,” each about the width
of a human hair. In the accused products, droplets are
formed at junctions in the microfluidic channels. The rea-
gents encompass a variety of products such as enzymes,
DNA barcodes, and 10X’s proprietary microscopic beads.
The record does not establish which 10X products cor-
respond to each of the product lines. For the ’083 patent,
there were 6 accused products: Chromium Genome/Exome;
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 7

Chromium Genome/Exome with Kynar; GemCode Long
Read; Chromium Single Cell 3’; Chromium Single Cell 3’
with Kynar; and Chromium Single Cell V(D)J with Kynar.
The jury found that all six products infringe all asserted
claims (claims 1 and 9) of the ’083 patent. For the ’193 pa-
tent, there were two accused products: Chromium Ge-
nome/Exome and GemCode Long Read. The jury found
both products infringe all asserted claims (claims 6 and 8)
of the ’193 patent. For the ’407 patent, there were four ac-
cused products: Chromium Genome/Exome; GemCode
Long Read; Chromium Single Cell 3’; and Chromium Sin-
gle Cell V(D)J. The jury found these products infringe the
asserted claims (claims 1, 10, and 11).
C. Procedural History
In February 2015, patent owner University of Chicago
and its licensee RainDance Technologies, Inc.
(“RainDance”) filed this patent infringement suit against
10X. Bio-Rad subsequently purchased RainDance and, in
May 2017, was substituted for RainDance in the litigation.
After the litigation was filed, 10X modified its products to
add 0.02% Kynar—a non-reactive amount of a fluorine-con-
taining resin—to its microchannels. 10X concedes that the
addition of this amount of Kynar is irrelevant to the func-
tioning of its products. The district court held a jury trial
in November 2018. The jury found the patents-in-suit not
invalid and willfully infringed. The jury then awarded Bio-
Rad damages in the amount of $23,930,716.
10X moved for JMOL, asserting that the accused prod-
ucts do not infringe, that its infringement was not willful,
that the asserted claims are not valid, and that Bio-Rad
failed to present a legally sufficient damages case. 10X also
requested a remittitur and moved for a new trial. On July
3, 2019, the district court denied 10X’s motion. Bio-Rad,
for its part, moved for a permanent injunction, attorneys’
fees, enhanced damages, supplemental damages, and pre-
and post-judgment interest. On July 24, 2019, the district
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8 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

court granted the motion with respect to the permanent in-
junction, supplemental damages, and pre- and post-judg-
ment interest, but denied the motion with respect to
attorneys’ fees and enhanced damages. This appeal fol-
lowed. 2 We have jurisdiction pursuant to 28 U.S.C.
§§ 1295(a)(1) and 1292(c)(2).
II. DISCUSSION
We review a denial of JMOL or new trial under the law
of the regional circuit. Energy Transp. Grp., Inc. v. William
Demant Holding A/S, 697 F.3d 1342, 1350 (Fed. Cir. 2012).
The Third Circuit “exercise[s] plenary review of an order
granting or denying a motion for judgment as a matter of
law and appl[ies] the same standard as the district court.”
Lightning Lube, Inc. v. Witco Corp., 4 F.3d 1153, 1166 (3d
Cir. 1993). JMOL is “granted only if, viewing the evidence
in the light most favorable to the nonmovant and giving it
the advantage of every fair and reasonable inference, there
is insufficient evidence from which a jury reasonably could
find” for the nonmovant. Id. The decision to grant or deny

2 On August 19, 2019, 10X filed a Rule 8 Motion for
a Stay Pending Appeal, seeking a stay of the district court’s
injunction order. We initially ruled that 10X could con-
tinue to sell its Linked-Reads and CNV products subject to
the royalty and deposit requirements set forth in the dis-
trict court’s injunction order. Order, Bio-Rad Labs., Inc. v.
10X Genomics Inc., No. 2019-2255 (Fed. Cir. Aug. 19,
2019). On September 24, 2019, we concluded that our prior
stay order should remain in effect during the pendency of
the appeal, noting that “10x Genomics indicates that, while
it did not immediately have available to offer to new cus-
tomers an instrument that would be capable of running
only [the Linked-Reads and CNV] products, it could, in a
matter of weeks, implement such a solution.” Order, Bio-
Rad Labs., Inc. v. 10X Genomics Inc., No. 2019-2255, at *2
(Fed. Cir. Sept. 24, 2019).
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a new trial is committed to the discretion of the district
court, which grants a new trial only where “a miscarriage
of justice would result if the verdict were to stand” or where
the verdict “shocks [the] conscience.” Williamson v. Consol.
Rail Corp., 926 F.2d 1344, 1353 (3d Cir. 1991).
On appeal, 10X argues that (1) it is entitled to JMOL
of non-infringement of the three patents-in-suit; (2) the
damages award should be vacated because it was based on
both inadmissible and insufficient evidence; and (3) the dis-
trict court abused its discretion in enjoining all five product
lines. We address these arguments in turn.
A. Infringement of the ’083 Patent
The asserted claims of the ’083 patent recite “non-fluor-
inated microchannels.” As of trial, 10X’s accused products
contained microchannels with 0.02% Kynar—a fluorine-
containing coating resin. The jury found that 10X’s ac-
cused products, as modified, do not literally satisfy the
“non-fluorinated microchannels” limitation but meet the
limitation under the doctrine of equivalents. On appeal,
10X argues that the district court erred in denying JMOL
because “two independent legal principles” barred Bio-
Rad’s theory of equivalence: prosecution history estoppel
and claim vitiation. Appellant’s Br. 31–40. It also argues
that its products cannot satisfy one of the claim limitations
relating to the surface tension at the plug-fluid/carrier-
fluid interface. As discussed below, we reject 10X’s argu-
ments.
1. Bio-Rad Was Not Estopped From
Asserting the Doctrine of Equivalents
“[E]quivalents remain a firmly entrenched part of the
settled rights protected by the patent.” Festo Corp. v. Sho-
ketsu Kinzoku Kogyo Kabushiki Co., 535 U.S. 722, 733
(2002) (“Festo I”). There are certain limitations, however,
on a patentee’s ability to obtain an infringement verdict
under the doctrine of equivalents. One such limitation is
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10 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

prosecution history estoppel. See, e.g., id. at 737–40. An-
other limitation—the doctrine of claim vitiation—ensures
that “the application of the doctrine [of equivalents] . . . is
not allowed such broad play as to effectively eliminate [a
claim] element in its entirety.” Warner-Jenkinson Co. v.
Hilton Davis Chem. Co., 520 U.S. 17, 29 (1997). Both are
at issue in this appeal.
a. Prosecution History Estoppel
Prosecution history estoppel arises when a patent ap-
plicant narrows the scope of his claims during prosecution
for a reason “substantial[ly] . . . relating to patentability.”
See generally Festo Corp. v. Shoketsu Kinzoku Kogyo Ka-
bushiki Co., 344 F.3d 1359, 1366–67 (Fed. Cir. 2003) (en
banc) (“Festo II”). A narrowing amendment is presumed to
be a surrender of all equivalents within “the territory be-
tween the original claim and the amended claim.” Festo I,
535 U.S. at 740. This presumption can be overcome if the
patentee can show that one of the following “exceptions” to
prosecution history estoppel applies: (1) the rationale un-
derlying the amendment bears no more than a tangential
relation to the equivalent in question; (2) the equivalent
was unforeseeable at the time of the application; or (3)
there was some other reason suggesting that the patentee
could not reasonably be expected to have described the
equivalent. Id. at 740–41.
“[W]hether prosecution history estoppel applies, and
hence whether the doctrine of equivalents may be available
for a particular claim limitation, presents a question of
law.” Festo II, 344 F.3d at 1367–68. In making this deter-
mination, we must “look to the specifics of the amendment
and the rejection that provoked the amendment to deter-
mine whether estoppel precludes the particular doctrine of
equivalents argument being made.” Intervet Inc. v. Merial
Ltd., 617 F.3d 1282, 1291 (Fed. Cir. 2010).
The district court held that prosecution history estop-
pel does not apply in this case because the amendment at
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 11

issue was only tangentially related to the accused equiva-
lent. The court reasoned that, during prosecution, the in-
ventors sought to distinguish the microchannels in their
system from fluorinated prior art microchannels that
would react with the carrier fluid. Bio-Rad, 396 F. Supp.
3d at 377. In the court’s view, the objectively apparent rea-
son for the amendment was to distinguish fluorinated mi-
crochannels from microchannels that had no fluorinated
properties. The district court concluded that an accused
product like 10X’s—having minute or negligible quantities
of fluorine that have no function in the product and do not
react with the microchannels—could meet the “non-fluori-
nated” limitation under the doctrine of equivalents. Id.
On appeal, the parties do not dispute that the amend-
ment at issue was narrowing, or that it was made to over-
come prior art. Instead, they dispute whether the
tangentiality exception to prosecution history estoppel ap-
plies. 10X argues, as it did before the district court, that
prosecution history estoppel applies because the ’083 pa-
tent inventors narrowed the claims to recite a “non-fluori-
nated microchannel” to overcome Quake, which taught
“fluorinated” microchannels. 10X argues that, with this
amendment, the inventors surrendered all territory be-
tween the original limitation—microchannels generally—
and the amended limitation—non-fluorinated microchan-
nels. Appellant’s Br. 33–34. Accordingly, 10X contends
that the district court erred in applying the “tangentiality”
exception for a narrowing amendment. 10X characterizes
the district court’s analysis as “recasting” the inventors’
disclaimer as covering only microchannels coated with flu-
orine “for a purpose.” Id. at 35 (emphasis omitted). In
10X’s view, by rewriting the claims during prosecution, the
inventors surrendered the right to expand their monopoly
to cover microchannels containing fluorine, “for whatever
purpose.” Id. at 36.
Bio-Rad argues that the tangentiality exception to
prosecution history estoppel allows it to assert and prevail
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12 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

under the doctrine of equivalents. In Bio-Rad’s view, the
reason for narrowing the claims was “peripheral, or not di-
rectly relevant to the alleged equivalent.” Appellees’ Br. 20
(quoting Festo II, 344 F.3d at 1369). Bio-Rad contends that
the patentees amended the claims to make clear that the
carrier fluid and the microchannel wall should be chemi-
cally distinct, which bears no more than a tangential rela-
tion to the alleged equivalent—microchannel walls
containing a nominal amount of fluorine that is not chemi-
cally distinct from the carrier fluid. We agree with Bio-
Rad.
The prosecution history of the ’083 patent establishes
that the objectively apparent reason for adding the “non-
fluorinated microchannels” limitation was no more than
tangentially related to the equivalent at issue. In amend-
ing the claims, the patentees sought to distinguish the
claimed invention from Quake, which disclosed fluorinated
microchannel wall coatings that would react with the car-
rier fluid. The inventors argued that preventing droplets
from sticking to the walls of the microchannels requires the
surfactant to be chemically similar to the carrier fluid and
chemically different from the channel walls. The inventors
therefore amended the claims to make clear that the car-
rier fluid and the microchannel wall should be chemically
distinct. By claiming non-fluorinated microchannels and a
fluorinated surfactant, the inventors made sure that, in
contrast to the Quake disclosure, the carrier fluid and mi-
crochannels in the claimed invention would not react with
each other, thereby preventing droplets from sticking to
the walls of the microchannels. As such, the inventors’ de-
cision to add the “non-fluorinated microchannels” limita-
tion must be considered in the context of adding, at the
same time, the limitation of a “fluorinated surfactant” to
the carrier fluid.
The inventors’ statements during prosecution confirm
that the “rationale underlying the [narrowing] amendment
[bore] no more than a tangential relation to the equivalent
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in question”—here, microchannels containing negligible
amounts of fluorine, which cannot react with the carrier
fluid. See Festo I, 535 U.S. at 740–41. As the district court
explained, the inventors surrendered microchannels
coated with fluorine “for a purpose—not those containing
de minimis amounts of fluorine that have no effect on how
the microchannel functions in the system.” Bio-Rad, 396
F. Supp. 3d at 377 (emphasis added). As such, Bio-Rad was
not barred from asserting that microchannels containing
negligible amounts of fluorine are equivalent to “non-fluor-
inated microchannels.”
We reject 10X’s argument that the “Quake patent un-
ambiguously contained the accused equivalent,” and there-
fore, this amendment cannot be tangential. Appellant’s Br.
34–35. The crux of the tangentiality inquiry remains “the
patentee’s objectively apparent reason for the narrowing
amendment . . . [as] discernible from the prosecution his-
tory record.” Festo II, 344 F.3d at 1369. As explained
above, the prosecution history record reveals that the rea-
son for the amendment was to distinguish microchannels
that reacted with carrier fluids. Quake disclosed fluori-
nated microchannels generally. It did not expressly dis-
close microchannels with non-reacting, negligible levels of
fluorine, like in the accused equivalent. The question here
is not whether Quake disclosed fluorinated microchannels,
but rather, whether Quake taught the use of non-reactive
amounts of fluorination in the microchannels. It did not.
Accordingly, the narrowing amendment can only be said to
have a tangential relation to the equivalent at issue—neg-
ligibly fluorinated microchannels, or, put differently, mi-
crochannels with non-fluorinated properties.
The parties each cite several of our cases in support of
or against the application of the tangentiality exception to
prosecution history estoppel. Prosecution history estoppel,
including the tangentiality inquiry, is always a case-spe-
cific analysis. The objectively apparent reason discernable
from the prosecution history record will, accordingly, differ
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14 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

in each case. For example, we recently considered these
issues in Amgen Inc. v. Amneal Pharmaceuticals LLC, 945
F.3d 1368 (Fed. Cir. 2020). There, the accused product
used “pregelatinized starch” as a binder, and the asserted
claim did not list pregelatinized starch in its Markush
group reciting binders. Id. at 1380. The patent owner as-
serted infringement under the doctrine of equivalents, ar-
guing that pregelatinized starch functioned as a binder in
the accused product. We noted that the patent owner re-
vised the claim’s binder limitations to be in Markush group
format to overcome prior art references that taught the use
of pregelatinized starch as a binder. Id. at 1382. Accord-
ingly, we concluded that the amendment—made to avoid
prior art that contains the equivalent in question—was not
tangential. Id. Because the prior art references at issue
taught the use of the alleged equivalent for the claimed
function, the tangentiality exception to prosecution history
estoppel could not apply. Here, by contrast, Quake did not
teach the use of the alleged equivalent—negligibly fluori-
nated microchannels or those with no fluorinated proper-
ties.
We also recently addressed the tangentiality exception
in Eli Lilly v. Hospira, Inc., where the patent owner nar-
rowed the claims during prosecution to recite “pemetrexed
disodium” instead of “an antifolate.” 933 F.3d 1320,
1325–26 (Fed. Cir. 2019). The accused equivalent at issue
was pemetrexed ditromethamine, which is functionally
identical to pemetrexed disodium. Id. at 1327. We con-
cluded that “[t]he reason for Lilly’s amendment . . . was to
narrow original claim 2 to avoid Arsenyan, which only dis-
closes treatments using methotrexate, a different antifo-
late.” Id. at 1331. Thus, claiming the functionally
equivalent pemetrexed salts was tangential to overcoming
prior art disclosing an antifolate other than pemetrexed.
Here too, functionally equivalent microchannels (i.e., mi-
crochannels with no fluorinated properties) are tangential
to the patentees’ reason for distinguishing Quake, which
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 15

disclosed fluorinated microchannels. We find this case
more analogous to Eli Lilly than to Amgen.
Accordingly, we conclude that the district court cor-
rectly held that prosecution history estoppel does not apply
in this case.
b. Claim Vitiation
Claim vitiation presents another bar to a finding of in-
fringement under the doctrine of equivalents. “[S]aying
that a claim element would be vitiated is akin to saying
that there is no equivalent to the claim element in the ac-
cused device based on the well-established ‘function-way-
result’ or ‘insubstantial differences’ tests.” Brilliant In-
struments, Inc. v. GuideTech, LLC, 707 F.3d 1342, 1347
(Fed. Cir. 2013). More recently, we have explained that vi-
tiation “is not an exception or threshold determination that
forecloses resort to the doctrine of equivalents, but is in-
stead a legal conclusion of a lack of equivalence based on
the evidence presented and the theory of equivalence as-
serted.” UCB, Inc. v. Watson Labs., Inc., 927 F.3d 1272,
1283 (Fed. Cir. 2019) (quoting Cadence Pharm. Inc. v. Ex-
ela PharmSci Inc., 780 F.3d 1364, 1371 (Fed. Cir. 2015));
see also DePuy Spine, Inc. v. Medtronic Sofamor Danek,
Inc., 469 F.3d 1005, 1017 (Fed. Cir. 2006) (“[T]he ‘all ele-
ments’ rule generally is not met—and therefore a claim
limitation can be said to be vitiated—if the theory or evi-
dence of equivalence is legally incapable of establishing
that the differences between the limitation in the claim and
the accused device are insubstantial; i.e., if the theory or
evidence is so legally insufficient as to warrant a holding of
non-infringement as a matter of law.”).
On appeal, 10X argues that the doctrine of equivalents
is unavailable to Bio-Rad because “fluorinated” and “non-
fluorinated” are “diametric opposites” and because a fluor-
inated microchannel is the “antitheses” of a non-fluori-
nated microchannel. Appellant’s Br. 37–40 (citing, e.g.,
Moore U.S.A., Inc. v. Standard Register Co., 229 F.3d 1091,
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16 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

1115 n.5 (Fed. Cir. 2000)). In 10X’s view, allowing Bio-Rad
to argue that fluorinated microchannels are equivalent to
non-fluorinated microchannels entirely vitiates the “non-
fluorinated microchannel” limitation. 10X also cites sev-
eral of our prior cases where we found that a claim element
cannot be supplied by an alleged equivalent that was the
opposite of the missing element. Despite some surface ap-
peal, these arguments do not hold up under even minimal
scrutiny.
10X attempts to extend our cases regarding claim viti-
ation beyond their facts. Relying on Deere & Co. v. Bush
Hog, LLC, 703 F.3d 1349, 1356 (Fed. Cir. 2012), the district
court concluded that a reasonable jury could find on the
facts presented here that non-fluorinated microchannels
and minimally-fluorinated microchannels with no reactive
properties are equivalent. 10X criticizes the district court’s
reliance on Deere as “invok[ing] only dicta.” Appellant’s
Br. 39. It also argues that Deere did not override our prior
cases discussing “opposites” but instead dealt with a sce-
nario where the claim element did not present a binary
choice. Appellant’s Reply Br. 7. 10X, however, ignores the
fact that we have repeatedly emphasized the principle out-
lined in Deere in subsequent cases. See, e.g., Cadence
Pharm. Inc., 780 F.3d at 1371 (collecting cases).
In Brilliant Instruments, for example, we explained
that vitiation comes into play when the alleged equivalent
is “diametrically opposed” to the missing claim element.
“[W]hen the accused structure has an element that is the
opposite of the claimed element,” it is “more difficult” for a
patentee to succeed on a theory of equivalents. 707 F.3d
at 1347. We also explained that “[i]f the claimed and ac-
cused elements are recognized by those of skill in the art to
be opposing ways of doing something, they are likely not
insubstantially different.” Id. at 1347–48. And, we noted,
“this concept [applies] to cases where we have recognized
that two alternatives exist that are very different from
each other and therefore cannot be equivalents for
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 17

infringement purposes.” Id. at 1348 (citing, e.g., Moore
U.S.A., Inc., 229 F.3d at 1106).
Notably, in Cadence Pharmaceuticals, we cautioned
against using labels like “antithesis” in lieu of conducting
the proper inquiry of infringement under the doctrine of
equivalents:
Characterizing an element of an accused product as
the “antithesis” of a claimed element is also a con-
clusion that should not be used to overlook the fac-
tual analysis required to establish whether the
differences between a claimed limitation and an ac-
cused structure or step are substantial vel non. The
determination of equivalence depends not on labels
like “vitiation” and “antithesis” but on the proper
assessment of the language of the claimed limita-
tion and the substantiality of whatever relevant dif-
ferences may exist in the accused structure.
Cadence Pharm., 780 F.3d at 1372.
Accordingly, we reject 10X’s attempt to limit the in-
quiry to a binary choice between “fluorinated” and “non-
fluorinated” microchannels, and its conclusion that in-
fringement under the doctrine of equivalents is unavaila-
ble to Bio-Rad as a matter of law. The appropriate inquiry
is whether a reasonable juror could have found that a neg-
ligibly-fluorinated microchannel performs the same func-
tion, in the same way, and achieves the same result, as a
non-fluorinated microchannel. Here, based on the evidence
presented at trial—including the testimony of Bio-Rad’s ex-
pert, Dr. Sia—the district court concluded that a reasona-
ble juror could find that a 0.02% Kynar-containing
microchannel is insubstantially different from a non-fluor-
inated microchannel. Bio-Rad, 396 F. Supp. 3d at 378. The
non-fluorinated microchannel claim limitation is not
stripped of meaning, or “effectively eliminate[d],” Warner-
Jenkinson, 520 U.S. at 29, by Bio-Rad’s theory and the
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18 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

jury’s finding that the accused microchannel, having too lit-
tle fluorine to alter its reactive properties, is an equivalent.
10X does not challenge that substantial evidence sup-
ports the jury’s finding that a 0.02% Kynar-containing mi-
crochannel is insubstantially different from a non-
fluorinated microchannel. Accordingly, 10X’s challenges
concerning the infringement under the doctrine of equiva-
lents fail.
2. Substantial Evidence Supports the Jury’s Verdict
that 10X’s Accused Products Meet the Claimed
Surface Tension Relationship
10X next argues that it is entitled to JMOL of non-in-
fringement of the ’083 patent because none of its products
have a plug-fluid/microchannel wall interface. Appellant’s
Br. 40–42. According to 10X, without such an interface, its
products cannot satisfy the claim limitation “wherein the
fluorinated surfactant is present at a concentration such
that the surface tension at the plug-fluid/microchannel
wall interface is higher than the surface tension at the
plug-fluid/carrier-fluid interface.” Id. at 40 (quoting ’083
patent, col. 73 ll. 16–21) (emphasis omitted). 10X contends
that the droplets in its chips are fully encased by the car-
rier fluid and do not touch the channel wall, meaning they
do not have the plug-fluid/microchannel wall interface, and
thus cannot infringe.
Bio-Rad responds that the claims do not require the
plug-fluid to be in actual physical contact with the micro-
channel walls. Appellees’ Br. 24. In Bio-Rad’s view, the
asserted claims merely require that the droplet/wall sur-
face tension is higher than the droplet/carrier-fluid surface
tension. According to Bio-Rad, the purpose of the claimed
surface tension relationship is to allow the formation of
plugs/droplets that do not stick to the channel walls, just
like those in 10X’s products. Id. at 25. We again agree with
Bio-Rad.
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 19

The district court correctly noted that the claims do not
require direct contact between the plug-fluid and the mi-
crochannel wall. They only require that the surface tension
at the plug-fluid/microchannel wall interface is higher than
that between the carrier fluid and the plug fluid. The spec-
ification explains the purpose of this claimed surface ten-
sion relationship: “If this condition is not satisfied, plugs
tend to adhere to the channel walls and do not undergo
smooth transport.” ’083 patent, col. 20 ll. 56–58. And, the
specification clearly sets forth the purpose of introducing
the surfactant:
Because the walls of the channels (PDMS, not fluor-
inated) and the carrier-fluid (fluorinated oil) are
substantially different chemically, when a fluori-
nated surfactant is introduced, the surfactant re-
duces the surface tension at the oil-water interface
preferentially over the wall-water interface. This
allows the formation of plugs that do not stick to the
channel walls.
Id. at col. 20 l. 63–col. 21 l. 2. Given this, we find that 10X’s
argument that its accused products cannot meet this limi-
tation is without merit.
We also agree with the district court that sufficient ev-
idence supports the jury’s finding that 10X’s products meet
the claimed surface tension limitation. 10X’s own expert,
Dr. Huck, admitted that the surface tension relationship is
met if the droplets do not contact channel walls. The par-
ties do not dispute that this is the case for 10X’s accused
products. The jury also considered the testimony of Bio-
Rad’s expert, Dr. Sia, who presented testing evidence
demonstrating that the claim limitation was met. Accord-
ingly, we conclude that the district court properly denied
10X’s motion for JMOL of non-infringement of the ’083 pa-
tent and affirm the judgment of infringement of this pa-
tent.
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20 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

B. Infringement of the ’407 and ’193 Patents
10X’s non-infringement arguments regarding the ’407
and ’193 patents are based on its contention that the dis-
trict court misconstrued the asserted claims of these pa-
tents. Specifically, 10X argues that, contrary to the district
court’s construction, the preambles of these patents’ inde-
pendent claims are limiting. We review claim construction
de novo, reviewing subsidiary factual findings based on ex-
trinsic evidence for clear error. Teva Pharm. USA, Inc. v.
Sandoz, Inc., 574 U.S. 318 (2015).
Whether a preamble is limiting is “determined on the
facts of each case in light of the overall form of the claim,
and the invention as described in the specification and il-
luminated in the prosecution history.” Applied Materials,
Inc. v. Advanced Semiconductor Materials Am., Inc., 98
F.3d 1563, 1572–73 (Fed. Cir. 1996). A preamble limits the
claimed invention if it recites essential structure or steps,
or if it is “necessary to give life, meaning, and vitality” to
the claim. Pitney Bowes, Inc. v. Hewlett-Packard Co., 182
F.3d 1298, 1305 (Fed. Cir. 1999). If the claim uses the pre-
amble only to state a purpose or intended use for the inven-
tion, then the preamble is not limiting. Catalina Mktg.
Int’l, Inc. v. Coolsavings.com, Inc., 289 F.3d 801, 808 (Fed.
Cir. 2002). And, a preamble is generally not limiting un-
less there is “clear reliance on the preamble during prose-
cution to distinguish the claimed invention from the prior
art.” Id. Reliance on a preamble phrase for antecedent ba-
sis, however, may limit claim scope. Bell Commc’ns Re-
search, Inc. v. Vitalink Commc’ns Corp., 55 F.3d 615, 620
(Fed. Cir. 1995).
The preamble at issue recites “[a] method for conduct-
ing a reaction in plugs in a microfluidic system, comprising
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 21

the steps of . . . .” ’407 patent, col. 78 ll. 54–55. 3 At the
Markman stage, the district court found that the preamble
was limiting “only to the extent that it provides an ante-
cedent basis for the terms ‘microfluidic system’ and ‘reac-
tion.’” Raindance Techs., Inc. v. 10X Genomics, Inc., No.
1:15-CV-00152-RGA, 2017 WL 382235, at *7 (D. Del. Jan.
26, 2017)). It found that the preamble at issue “states an
intended use for the invention, ‘followed by the body of the
claim, in which the claim limitations describing the inven-
tion are recited.’” Id. (quoting TomTom, Inc. v. Adolph,
790 F.3d 1315, 1324 (Fed. Cir. 2015)). It also found that
the invention, as claimed, was “‘structurally complete’
without the remaining preamble language.” Id.
In its motion for JMOL, 10X argued that, under the
correct claim construction, the preambles limit the claims
to methods of conducting reactions inside a microfluidic
system, i.e., to “on-chip” reactions only. The district court
rejected 10X’s argument. It found that the preamble terms
“reaction” and “microfluidic systems” provide antecedent
basis for the use of those terms in the body of the claim, but
that this does not necessarily convert the entire preamble
into a limitation. Bio-Rad, 396 F. Supp. 3d at 380 (“While
portions of a preamble may be limiting where those por-
tions provide an antecedent basis for terms appearing in
the body of the claim, it is inappropriate to construe an en-
tire preamble as limiting if the rest of the preamble lan-
guage is not limiting.”). According to the district court, the
italicized portion of the preamble “conducting a reaction in
plugs in a microfluidic system” was not limiting because

3 The preamble of the claims of the ’193 patent recite
an “autocatalytic reaction” instead of a “reaction.” ’193 pa-
tent, col. 78 ll. 8–9. 10X states that the same arguments
apply to the preambles of both the ’407 and ’193 patent
claims and Bio-Rad offers no dispute on that point. Accord-
ingly, our analysis applies to both patents.
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22 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

this language does not “provide an antecedent basis for the
rest of the claim and follows the standard pattern of a
‘method for a purpose or intended use comprising,’ followed
by the body of the claim.” Id. at 381 (citing TomTom, 790
F.3d at 1324).
On appeal, 10X again argues that the preamble term
“reaction in plugs in a microfluidic system” is limiting. In
10X’s view, the preamble requires the chemical reaction to
take place in the droplets while the droplets are inside the
microfluidic system, i.e., the claimed methods are limited
to “on-chip” reactions. By contrast, 10X argues, the reac-
tions in its accused products are “off-chip” reactions—they
are not completed until after a researcher removes the
droplets from the microchannel and places them in a ther-
mal cycler. Appellant’s Br. 51–53.
10X argues that, as the district court found, the pream-
ble clearly provides antecedent basis for the claim limita-
tions “the microfluidic system” and “the reaction.” It
contends that, taken in conjunction with the specification
and the prosecution history of the ’407 patent, this estab-
lishes the drafter’s intent to treat the entire preamble as
limiting. Although we held in TomTom that it is possible
for one part of the preamble to be limiting even though an-
other portion is not, 10X asserts that TomTom does not ap-
ply where, as here, the preamble terms at issue were not
distinct phrases. According to 10X, it was error to give lim-
iting effect to certain terms in the preamble (“reaction” and
“microfluidic system”) but not to other terms surrounding
those limiting parts (“conducting” and “in”).
In Bio-Rad’s view, the district court correctly found
that the disputed language is a non-limiting statement of
intended use or purpose. Bio-Rad also argues that, under
TomTom, an entire preamble need not be limiting simply
because it provides an antecedent basis in part. Bio-Rad
further argues that 10X’s non-enablement theory at trial
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 23

contradicts its arguments here. This time, we agree with
10X.
The district court’s application of TomTom to the facts
before it is erroneous. In TomTom, we held that the district
court erred in determining that it had to construe the en-
tire preamble if it construed a portion of it. TomTom, 790
F.3d at 1322–24. The two-part preamble of the asserted
claim recited: “[1] [a] method for generating and updating
data [2] for use in a destination tracking system of at least
one mobile unit comprising . . . .” Id. at 1322 (alteration
omitted). We held that the first part of the preamble,
“method for generating and updating data,” was not limit-
ing and did not provide an antecedent basis for any claim
terms. Id. at 1323–24. We also found that the term did not
recite essential structure or steps, or give necessary life,
meaning, and vitality to the claim; rather, it stated “a pur-
pose or intended use.” Id. At the same time, we held that
the second part of the preamble, “destination tracking sys-
tem of at least one mobile unit,” was limiting because it
provided antecedent basis for “the mobile unit” recited in
the body of the claims. Id. Thus, we found that TomTom
involved a partially-limiting preamble.
Crucially, unlike TomTom, the preamble in this case
cannot be neatly packaged into two separate portions. Nor
does it simply recite a method for an intended use or pur-
pose. The district court held that the preamble terms “re-
action” and “microfluidic systems” provide antecedent
basis for the use of those terms in the body of the claim.
We agree with the court on this point. But we disagree that
these limiting terms can be read separately from the re-
mainder of the preamble. The language relied upon for an-
tecedent basis in the preamble at issue is intertwined with
the rest of the preamble. The term “conducting” in the pre-
amble is not analogous to the non-limiting language at is-
sue in TomTom.
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24 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

We also are disinclined to sanction finding a preamble
“partially” limiting by splicing it as the district court did
here. The fact that the terms “reaction” and “microfluidic
systems” provide antecedent basis for these terms in the
body of the claim is a strong indication that the preamble
acts “as a necessary component of the claimed invention.”
Eaton Corp. v. Rockwell Int’l Corp., 323 F.3d 1332, 1339
(Fed. Cir. 2003). Based on the antecedent relationship, it
is clear the claim drafters intended to limit the claimed
methods to on-chip reactions, using both the preamble and
the body of the claim to define the claimed invention. 4 Ac-
cordingly, we conclude that the district court’s claim con-
struction is erroneous. Under the correct construction, the
claimed methods are limited to on-chip reactions.
Bio-Rad argues that, even if the preamble is limiting,
the jury’s infringement verdict should be upheld. As a
court of review, we refuse to decide, in the first instance,
whether 10X’s systems would infringe under the correct
construction. Even Bio-Rad concedes that the district court
precluded 10X from arguing that the entire preamble is
limiting. Accordingly, we vacate the district court’s judg-
ment of infringement of the claims of the ’407 and ’193 pa-
tents and remand for a new trial on those issues.

4 The prosecution history of the patent, although not
dispositive in this case, provides additional support for con-
struing the claims as limited to reactions in a microfluidic
system. During prosecution, the examiner amended both
the preambles and the titles of the patents to specify that
the reactions are conducted “in plugs in the microfluidic
system.” J.A. 8625–29; J.A. 8632.
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 25

C. DAMAGES

Despite vacating the district court’s judgment of in-
fringement of two of the patents-in-suit, we proceed with
considering the parties’ arguments concerning damages be-
cause we affirm the judgment of infringement of the ’083
patent—which covers all six accused product lines. The
jury verdict and jury instructions show that the damages
award is not predicated on infringement of any one patent.
J.A. 378 (“If you found that 10X Genomics infringed any of
the asserted claims of the ’083, ’193, or ’407 [p]atents . . .
then with respect to that claim or those claims, please an-
swer [the question on damages].”); J.A. 410 (“If you find
that Plaintiffs have established infringement of a valid pa-
tent claim of the patents-in-suit, Plaintiffs will be entitled
to a reasonable royalty to compensate them for that in-
fringement.”). As Bio-Rad explained during oral argument,
affirming the judgment of infringement on the ’083 pa-
tent—which includes the only asserted apparatus claims—
would leave the damages award undisturbed. Oral Arg. at
21:18–44, available at http://oralarguments.cafc.uscourts.g
ov/default.aspx?fl=19-2255.mp3. 10X did not dispute this
point either at oral argument or in its briefing to us. In
fact, in its opening brief, 10X argued that reversal as to the
’083 patent would affect the damages award, see Appel-
lant’s Br. 42, but did not make such an argument for the
’407 and ’193 patents.
The jury awarded almost $24 million in damages—the
full requested amount based on a reasonable royalty rate
of 15%. On appeal, 10X argues that the damages award
should be vacated because Bio-Rad’s expert relied on li-
censes that were not comparable to the hypothetical nego-
tiation. 10X further argues that Bio-Rad’s expert did not
apportion damages to the value of the patented technology.
As discussed below, we reject these arguments.
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26 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

1. The District Court Did Not Abuse Its Discretion
in Allowing the Jury to Consider Testimony
Regarding the Three Licenses at Issue
At trial, the parties used the hypothetical negotiation
or the “willing licensor-willing licensee” approach for calcu-
lating reasonable royalty damages. This approach at-
tempts to calculate the royalty rate the parties would have
agreed upon had they negotiated an agreement prior to the
start of the infringement. In determining a reasonable roy-
alty, parties frequently rely on comparable license agree-
ments. See Georgia–Pacific Corp. v. U.S. Plywood Corp.,
318 F. Supp. 1116, 1120 (S.D.N.Y. 1970); see also Radio
Steel & Mfg. Co. v. MTD Prods., Inc., 788 F.2d 1554, 1557
(Fed. Cir. 1986) (“The determination of a reasonabl[e] roy-
alty . . . is based . . . on the royalty to which a willing licen-
sor and a willing licensee would have agreed at the time
the infringement began.”). Assessing the comparability of
licenses requires a consideration of whether the license at
issue involves comparable technology, is economically com-
parable, and arises under comparable circumstances as the
hypothetical negotiation. See generally LaserDynamics,
Inc. v. Quanta Computer, Inc., 694 F.3d 51 (Fed. Cir. 2012).
We review the district court’s decision to admit expert
testimony for abuse of discretion. Gen. Elec. Co. v. Joiner,
522 U.S. 136, 146 (1997). The jury’s determination of the
amount of damages is an issue of fact, which we review for
substantial evidence. Lucent Techs., Inc. v. Gateway, Inc.,
580 F.3d 1301, 1310 (Fed. Cir. 2009). A jury’s damages
award “must be upheld unless the amount is grossly exces-
sive or monstrous, clearly not supported by the evidence,
or based only on speculation or guesswork.” Id. (internal
quotation marks omitted).
At trial, Bio-Rad’s damages expert, Mr. Malackowski,
based his reasonable royalty calculation on three licenses
that he deemed comparable: (1) the Caliper/RainDance li-
cense (2) the Applera/Bio-Rad license, and (3) the Applied
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 27

Bio/QuantaLife license. In its motion for JMOL, 10X ar-
gued that Mr. Malackowski’s testimony was not suffi-
ciently tied to the facts of the case because it was based on
technologically noncomparable licenses. The district court
agreed with 10X as to the Applera/Bio-Rad license, finding
that Bio-Rad had failed to present sufficient evidence of the
technological comparability of this license. But it nonethe-
less denied 10X’s motion for JMOL because the other two
licenses provided sufficient support for Mr. Malackowski’s
reasonable royalty opinions. Bio-Rad, 396 F. Supp. 3d at
386.
On appeal, 10X argues that Mr. Malackowski’s expert
opinion should be vacated because it was based on evidence
that was “both inadmissible and insufficient.” Appellant’s
Br. 54. 10X also provides extensive argument as to why
each of the three licenses is not technologically comparable
to the technology at issue in the hypothetical negotiation.
Id. at 59–64.
This court has often excluded licenses that are techno-
logically or economically non-comparable. See, e.g., La-
serDynamics, 694 F.3d at 77–78 (“The propriety of using
prior settlement agreements to prove the amount of a rea-
sonable royalty is questionable.”); ResQNet.com, Inc. v.
Lansa, Inc., 594 F.3d 860, 873 (Fed. Cir. 2010) (district
court erred by considering certain licenses and adjusting
“upward” the reasonable royalty rate “without any factual
findings that accounted for the technological and economic
differences between those licenses”). The court has also
held, however, that the issue of comparability is often one
of sufficiency of the evidence, not admissibility. Ericsson,
Inc. v. D-Link Sys., Inc., 773 F.3d 1201, 1227 (Fed. Cir.
2014) (“[T]he fact that a license is not perfectly analogous
generally goes to the weight of the evidence, not its admis-
sibility.”); see also Finjan, Inc. v. Secure Computing Corp.,
626 F.3d 1197, 1211 (Fed. Cir. 2010); ActiveVideo Net-
works, Inc. v. Verizon Commc’ns, Inc., 694 F.3d 1312, 1333
(Fed. Cir. 2012). Finjan, for example, involved a license
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28 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

which related to a lump sum payment rather than a run-
ning royalty. 626 F.3d at 1211–12. We affirmed a damages
award because the “differences permitted the jury to
properly discount [that license].” Id. at 1212. Likewise, in
ActiveVideo, the damages expert relied on two agreements,
one of which did not involve the patents or technologies in
the case. 694 F.3d at 1333. We concluded that the district
court did not abuse its discretion by failing to exclude the
testimony of the damages expert because the “degree of
comparability” of the license agreements is a “factual is-
sue[] best addressed by cross examination and not by ex-
clusion.” Id.
Here, the district court concluded that Mr. Malackow-
ski had met a showing of “baseline comparability” and that
the “degree of comparability is a factual issue best ad-
dressed through cross examination.” Bio-Rad, 396 F.
Supp. 3d at 388. The Caliper/RainDance and Applied-
Bio/QuantaLife licenses covered patents related to micro-
fluids. The third license, Applera/Bio-Rad, dealt with
thermal PCR cyclers—instruments that are used in bio-
chemical reactions. The “degree of comparability” was ap-
propriately left for the jury to decide. See Active Video, 694
F.3d at 1333. Accordingly, we see no abuse of discretion in
allowing Mr. Malackowski to testify about these licenses.
We are also not persuaded by 10X’s argument that, be-
cause the district court ultimately concluded that Bio-Rad
had not presented sufficient evidence of comparability of
the Applera/Bio-Rad agreement, the jury should never
have heard testimony regarding this agreement. 10X con-
tends that it is entitled to a new trial on this ground alone,
unless it is “highly probable” that the error of admitting
testimony about this license did not affect the jury’s ver-
dict. Appellant’s Br. 58 (quoting Hirst v. Inverness Hotel
Corp., 544 F.3d 221, 228 (3d Cir. 2008)). We see several
problems with 10X’s argument.
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 29

Even assuming 10X sufficiently developed this argu-
ment in its opening appellate brief (which it did not), 10X
does not challenge the jury instructions regarding the cal-
culation of a reasonable royalty, which properly instructed
the jury to account for any differences between the licenses.
J.A. 415 (“[I]f you choose to rely upon evidence from any
other license agreements, you must account for any differ-
ences between those licenses and the hypothetically nego-
tiated license . . . in terms of the technologies and economic
circumstances of the contracting parties.”). The record also
shows that 10X’s Daubert motion regarding Mr. Malackow-
ski’s opinions was directed to his overall testimony, not to
the exclusion of any one agreement. 10X also did not move
the court during trial to exclude the specific agreement.
10X’s arguments on this issue again conflate the question
of admissibility with the question of degree of comparabil-
ity of the licenses. On this record, we see no abuse of dis-
cretion in admitting Mr. Malackowski’s testimony, even if
the district court ultimately determined that Bio-Rad did
not provide substantial evidence of technological compara-
bility of one of the three licenses. Accordingly, we disagree
with 10X that the jury should have never heard testimony
regarding the Applera/Bio-Rad license, and reject its re-
quest for a new trial.
2. The Jury’s Damages Award Is Supported
by Substantial Evidence
10X also argues that no reasonable juror could find the
three licenses comparable to the claimed invention. In-
stead of the three licenses relied upon by Mr. Malackowski,
10X contends that the University of Chicago/RainDance li-
cense is the most comparable license because it concerns
the patents-in-suit. We are not persuaded.
The evidence at trial addressed each of the non-compa-
rability arguments 10X is now raising on appeal. As to the
University of Chicago/RainDance license, Mr. Malackow-
ski opined that this license, from a university to a licensor
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30 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

in the nascent period of the droplet technology, is not com-
parable to the hypothetical negotiation between two com-
petitors in the context of a more developed field. He also
explained that it was a non-competitive and exclusive li-
cense, further distinguishing it from the hypothetical nego-
tiation. 10X then cross-examined Mr. Malackowski on this
issue. The jury was free to accept this testimony and to
reject the 1–3% royalty rate proposed by 10X based on the
University of Chicago/RainDance agreement.
As to the comparability of the Caliper/RainDance li-
cense, 10X argues that the license is not comparable for
several reasons: (1) it deals with consumables (reagents
and chips) and not with expensive instruments; (2) the li-
cense involved 500+ patents relating to microfluids, not
three patents dealing with specific droplet generation and
manipulation; and (3) the 15% rate was “pure fiction” and
never really actualized because RainDance and Caliper
never competed in the licensed space. Appellant’s Br.
62–63.
The evidence at trial was sufficient to show compara-
bility of the Caliper/RainDance agreement. The jury heard
the testimony of Bio-Rad’s technical expert, Dr. Sia, who
testified that the Caliper patents were comparable because
they dealt with microfluids and the asserted patents also
deal with the same subject matter, but specifically with
droplets. Bio-Rad’s corporate witness, Ms. Tumolo, also ac-
counted for the difference in the number of patents in the
Caliper/RainDance agreement and the hypothetical nego-
tiation. According to Ms. Tumolo, the large number of Cal-
iper patents in the Caliper/RainDance license were a
necessary but very small part of the licensed RainDance
portfolio; the main technology was the droplet technology,
covered by the three patents-in-suit. Ms. Tumolo also ad-
dressed the 15% royalty rate, confirming that once
RainDance directly competed with Caliper, the 15% royalty
rate would apply. As to differentiating between licenses
relating to consumables versus instruments, most of the
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 31

reasonable royalty damages at issue come from sales of
consumables, not instruments. Accordingly, a reasonable
juror could have concluded that the Caliper/RainDance li-
cense was comparable to the hypothetical negotiation, and
substantial evidence supports the jury’s verdict that a 15%
reasonable royalty applies.
10X makes similar arguments regarding the Applied-
Bio/QuantaLife license. It argues that (1) the license does
not require payments for instruments or even chips, and
the 10–15% royalty rate for reagents cannot be directly
translated to a royalty rate for expensive instruments; (2)
the license focuses on a PCR enzyme that transformed the
field; and (3) Mr. Malackowski did not address these differ-
ences. Appellant’s Br. 60–61. We disagree.
The evidence at trial supports a finding of comparabil-
ity for this agreement as well. For example, the jury con-
sidered the testimony of Dr. Sia, who explained that the
license was comparable to the hypothetical negotiation be-
cause the AppliedBio license covered reagents that would
enable a researcher to perform PCR in an improved man-
ner, and the patents-in-suit also deal with performing im-
proved PCR reactions using droplet technology. The jury
also heard the testimony of Bio-Rad’s corporate witness,
Ms. Tumolo, who compared the two technologies and testi-
fied that the $0.12 per-unit royalty for the improved rea-
gents in the AppliedBio agreement would translate to a
much higher royalty rate per reaction in the hypothetical
negotiation because one would use more quantities of the
reagents in microfluidic systems. Accordingly, the evi-
dence presented at trial regarding this agreement also sup-
ports the 15% reasonable royalty rate. 5

5 Having concluded that substantial evidence sup-
ports the jury’s verdict of a 15% royalty rate, we need not
address the parties’ arguments regarding the
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32 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

Finally, we note that 10X’s reliance on our decisions in
LaserDynamics and ResQNet in support of its arguments
is misplaced. In LaserDynamics, for example, the royalty
rate proposed by the expert was “untethered from the pa-
tented technology at issue and the many licenses thereto.”
694 F.3d at 81. Likewise, ResQNet involved a royalty
award based entirely on inapposite licenses. 594 F.3d at
872. In both cases, the expert used licenses that served no
purpose other than “to increase the reasonable royalty rate
above rates more clearly linked to the economic demand for
the claimed technology.” LaserDynamics, 694 F.3d at 80.
Here, by contrast, Mr. Malackowski evaluated the various
licenses at issue and applied the Georgia-Pacific factors.
He testified that it made sense to adopt a 15% reasonable
royalty rate where the parties to the hypothetical negotia-
tion are direct competitors. He also provided specific rea-
sons why the University of Chicago/RainDance license was
not comparable. Accordingly, we conclude that substantial
evidence supports Mr. Malackowski’s reasonable royalty
opinions and the jury’s verdict.
B. 10X’s Apportionment Argument
Is Without Merit
“When the accused technology does not make up the
whole of the accused product, apportionment is required.
The ultimate combination of royalty base and royalty rate
must reflect the value attributable to the infringing fea-
tures of the product, and no more.” Elbit Sys. Land & C4I
Ltd. v. Hughes Network Sys., LLC, 927 F.3d 1292, 1301
(Fed. Cir. 2019) (internal quotations and alterations omit-
ted). “[A] reasonable royalty analysis necessarily involves

comparability of the Applera/Bio-Rad license. As discussed
above, we do not think the district court abused its discre-
tion in allowing the jury to hear testimony regarding that
license.
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 33

an element of approximation and uncertainty.” Lucent
Techs., 580 F.3d at 1336 (internal quotations omitted).
10X challenges Mr. Malackowski’s testimony because
of his alleged failure to apportion damages between the pa-
tented and unpatented features of the accused products. In
10X’s view, Mr. Malackowski claimed that his 15% royalty
rate was already apportioned in the comparable licenses,
but failed to provide any numerical value to support his
analysis. 10X also argues that none of the other witnesses
provided any testimony that could fill the gaps as to the
technical contributions of any of the patents. We disagree.
As Bio-Rad correctly points out, there is no blanket rule
of quantitative apportionment in every comparable license
case. In Elbit Systems Land & C4I Ltd. v. Hughes Network
Systems, LLC, for example, we accepted “built in appor-
tionment” for a comparable license agreement. 927 F.3d at
1301 (internal quotations omitted). 10X argues that Elbit
is distinguishable because the license at issue in that case
was the “closest” comparator and the expert in Elbit actu-
ally made a quantitative adjustment to the comparator li-
cense. Appellant’s Reply Br. 31. But this argument rests
primarily on the faulty assumption that the Chi-
cago/RainDance license (with the 1–3% royalty rate) is the
most comparable license in this case. As discussed above,
the jury was free to accept Bio-Rad’s evidence that this li-
cense was not comparable.
Here, Mr. Malackowski concluded that no quantitative
adjustment of the royalty rate in the three agreements was
required. He explained that his methodology involved
looking at comparable license agreements between compet-
itors for similar technologies and assessing whether the
importance of that technology to the particular license was
similar to the hypothetical negotiation. He also acknowl-
edged that he relied on the reports, testimony, and conclu-
sions of other witnesses to understand that the licenses
were technologically comparable, and that the proportion
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34 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

of licensed/unlicensed features was comparable to the pre-
sent case. Thus, under Mr. Malackowski’s reasoning, no
adjustment of the 15% royalty rate in the comparable li-
censes was required. His analysis could reasonably be
found to incorporate the required apportionment. Our case
law does not require more. See, e.g., VirnetX, Inc. v. Cisco
Sys., Inc., 767 F.3d 1308, 1328 (Fed. Cir. 2014) (“[W]e note
that we have never required absolute precision in [applying
the principles of apportionment]; on the contrary, it is well-
understood that this process may involve some degree of
approximation and uncertainty.”); see also Ericsson, Inc.,
773 F.3d at 1227 (recognizing that, even though “[p]rior li-
censes . . . are almost never perfectly analogous to the in-
fringement action,” if accompanied by testimony
accounting for the distinguishing facts, prior licenses may
help the jury decide an appropriate royalty award).
This is not a case in which an unsupported conclusory
opinion leaves the jury with nothing but speculation. We
thus agree with the district court that Mr. Malackowski’s
testimony was properly admitted. We therefore affirm the
damages award.
D. INJUNCTION
“According to well-established principles of equity, a
plaintiff seeking a permanent injunction must satisfy a
four-factor test before a court may grant such relief.” eBay
Inc. v. MercExchange, LLC, 547 U.S. 388, 391 (2006). “A
plaintiff must demonstrate: (1) that it has suffered an ir-
reparable injury; (2) that remedies available at law, such
as monetary damages, are inadequate to compensate for
that injury; (3) that, considering the balance of hardships
between the plaintiff and defendant, a remedy in equity is
warranted; and (4) that the public interest would not be
disserved by a permanent injunction.” Id. The district
court’s grant of an injunction is reviewed for abuse of dis-
cretion. eBay Inc., 547 U.S. at 391. We review the district
court’s conclusion as to each eBay factor for abuse of
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 35

discretion and its underlying factual findings for clear er-
ror. i4i Ltd. P’ship v. Microsoft Corp., 598 F.3d 831, 861
(Fed. Cir. 2010), aff’d, 564 U.S. 91 (2011). Only the first,
third, and fourth factors are at issue on appeal.
The district court found that Bio-Rad satisfied all four
eBay factors. On appeal, 10X argues that Bio-Rad failed to
justify its request for a permanent injunction because it did
not show irreparable harm, and because neither the bal-
ance of hardships nor the public interest support an injunc-
tion. We address these arguments below.
1. Irreparable Harm
To prove irreparable injury, a patentee must show
“that absent an injunction, it will suffer irreparable harm,
and . . . that a sufficiently strong causal nexus relates the
alleged harm to the alleged infringement.” Apple Inc. v.
Samsung Elecs. Co., 695 F.3d 1370, 1374 (Fed. Cir. 2012).
The district court found that 10X and Bio-Rad are di-
rect competitors, and Bio-Rad would suffer irreparable
competitive harm absent an injunction. 10X argues, how-
ever, that it was improper for the court to enjoin sales in
the name of competition because 10X and Bio-Rad do not
directly compete. 10X states that it is undisputed that Bio-
Rad did not even claim to compete with four out of five of
10X’s product lines. According to 10X, only one product
line, 10X’s Single Cell 3’, potentially competes with Bio-
Rad ddSEQ product. Even as to this product, however, 10X
argues that there is no irreparable harm because Bio-Rad’s
product is inferior, faces competition from at least ten other
competitors, and Bio-Rad could not prove that it lost a sin-
gle sale to 10X. Thus, in 10X’s view an injunction is un-
likely to help Bio-Rad’s competitive position. Appellant’s
Br. 73–74.
Bio-Rad responds that 10X admitted that the Single
Cell 3’ product, which accounts for over 80% of 10X’s reve-
nue, competes directly with Bio-Rad’s ddSEQ product. Bio-
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36 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

Rad also contends that 10X’s allegations of commercially
and technically superior products support Bio-Rad’s claim
of irreparable harm. Bio-Rad explains that it was forced to
market early in view of the head start 10X received from
its willful infringement. Bio-Rad also explains that it “fell
behind 10X in the droplet field because the 10X founders
left Bio-Rad to start 10X with much of Bio-Rad’s droplet
expertise and hired away even more droplet-experienced
technologists.” Appellees’ Br. 58–59. In Bio-Rad’s view,
the first mover advantage allowed 10X to capture many
“sticky” customer relationships and secure a competitive
lead. Finally, Bio-Rad contends that 10X’s argument that
Bio-Rad did not lose any customers is inconsistent with the
fact that the two company’s products are sold “head to
head.” Id. at 57–61.
It is undeniable that Bio-Rad has suffered harm from
10X’s first mover advantage and “sticky” customer rela-
tionships. The district court found that Bio-Rad is being
forced to compete with 10X’s products that incorporate the
infringing technology. Based on its willful infringement—
a finding 10X does not challenge on appeal—10X has es-
tablished a strong market lead over Bio-Rad. The court
also found that, based on 10X’s first mover advantage, Bio-
Rad had to increase its marketing costs. Money damages
will not be able to compensate Bio-Rad for the harms stem-
ming from 10X’s first mover advantage.
2. Balance of Hardships
In considering the balance of hardships, courts may
consider the “parties’ sizes, products, and revenue sources.”
i4i Ltd. P’ship, 598 F.3d at 862. “[E]xpenses . . . incurred
in creating the infringing products” and “the conse-
quences . . . of its infringement, such as the cost of rede-
signing the infringing products” are “irrelevant.” Id. at
863.
The district court found that the balance of hardships
weighed in favor of injunctive relief or, at minimum, was
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 37

neutral. The court found that Bio-Rad’s hardship stems
from the fact that it significantly invested in its droplet
business. And the court found that 10X’s hardship is miti-
gated because it could sell its new, non-infringing products.
On appeal, 10X argues that the district court failed to con-
sider that it does not have a new design for two of its prod-
uct lines. 10X explains that it is a much smaller company
than Bio-Rad and its entire business depends on the en-
joined products.
Bio-Rad contends that 10X’s argument that 10X does
not have a new design for two of its product lines (Linked-
Reads and CNV) is undermined by the fact that 10X’s
Linked-Reads and CNV products are trivial to its econom-
ics. Bio-Rad also points out that the district court gave 10X
a fair amount of time to design around the patents-in-suit.
We do not agree.
We acknowledge that Bio-Rad, although a much larger
company, will suffer considerable hardship absent an in-
junction because it has invested almost half a billion dol-
lars to develop its products, including acquisitions and tens
of millions of dollars a year on research and development.
But at the same time, 10X, a much smaller company, de-
pends entirely on the sales of the enjoined products for its
revenue. Although the district court concluded that the
hardship to 10X is mitigated because it can sell its non-in-
fringing alternatives, the district court failed to consider
the lack of non-infringing products for two out of the five
product lines. In the absence of non-infringing alternatives
for the Linked-Reads and CNV products, we conclude it
was an abuse of discretion for the district court to enjoin
sales of these two product lines.
3. Public Interest
“[T]he touchstone of the public interest factor is
whether an injunction, both in scope and effect, strikes a
workable balance between protecting the patentee’s rights
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38 BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC.

and protecting the public from the injunction’s adverse ef-
fects.” i4i, 598 F.3d at 863.
The district court carved out an exception for infringing
products that were sold or in use before the effective date
of the injunction (the “Historical Installed Base”). For
these products, 10X can also continue to supply consuma-
bles, and support, service, repair, and replace them under
warranty. This exception is conditional on 10X paying a
15% royalty on the net revenue 10X receives from the per-
mitted Historical Installed Base sales until the expiration
of the patents-in-suit. Despite this carve-out, 10X argues
that the undisputed evidence demonstrates that scientists
need 10X products to do important research, which weighs
against injunctive relief. Appellant’s Br. 78–79.
We see no abuse of discretion here. Under the district
court’s injunction, 10X’s existing customers are not en-
joined from using their installed systems, as long as 10X
pays royalties. Thus, there is no basis for 10X’s argument
that scientists will lose their years of research or be finan-
cially precluded from working on existing projects. On-go-
ing research projects will not be affected, and the scientist
statements submitted by the amicus all presuppose that
they will be required to give up their existing equipment.
None of the letter writers, moreover, seem to be aware of
10X’s replacement non-infringing design that supposedly
works just as well as the Historically Installed Base.
The district court carefully crafted an injunction that
allows existing 10X customers to continue their important
research but attempts to mitigate the harm to Bio-Rad
from 10X’s first mover advantage. The court also provided
10X with an opportunity to design non-infringing alterna-
tives, which 10X has done for all but two infringing product
lines. In these circumstances, we conclude that the district
court did not abuse its discretion in granting Bio-Rad an
injunction, except as to the Linked-Reads and CNV product
lines. Accordingly, we vacate the injunction as to those two
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BIO-RAD LABORATORIES, INC. v. 10X GENOMICS INC. 39

product lines only, but conclude that the injunction should
remain in place as to the other enjoined product lines.
CONCLUSION
We have considered the parties’ remaining arguments
and find them unpersuasive. For the foregoing reasons, we
affirm-in-part, reverse-in-part, and vacate-in-part the dis-
trict court’s decision denying 10X’s motion for JMOL. We
vacate the district court’s injunction only with respect to
10X’s Linked-Reads and CNV product lines.
AFFIRMED-IN-PART, REVERSED-IN-PART,
VACATED-IN-PART, AND REMANDED
COSTS
No costs.