Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle | Paper Citation Record

Observation 6cba6887-40d8-4aa9-b9a2-65509b1fd56a · outbound

This paper cites The depletion zone around the virus (radius R + r) overlaps with the depletion zone of the membrane.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle The depletion zone around the virus (radius R + r) overlaps with the depletion zone of the membrane

Reference 1

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Observation 2554375a-8733-4699-bcfa-68954b4d1b11 · outbound

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 2

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Observation 69c81cb5-efcd-4b37-8775-2538b2872b66 · outbound

This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

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Observation ad0148e6-a2ae-4c71-be0b-e9e5300104fe · outbound

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

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Observation a100725f-aa52-43a0-a1c5-be64c0fa21e2 · outbound

This paper cites This is because the depletion force becomes singular near contact due to the divergence of the depletion volume derivative.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle This is because the depletion force becomes singular near contact due to the divergence of the depletion volume derivative

Reference 5

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Observation df0c4e01-84b4-4d29-8119-79b6b838edfe · outbound

This paper cites Smaller crowding agents of radius r are excluded from a depletion zone of thickness r around both the virus and the membrane.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Smaller crowding agents of radius r are excluded from a depletion zone of thickness r around both the virus and the membrane

Reference 6

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Observation cb8abed0-28e6-4bbd-be44-b6c32a9c963c · outbound

This paper cites The height of the small cap of the depletion zone that enters the membrane is: Hq2 = R − (R + r) cosψ, (B6) and its radius is: rq2 = p (R + r)2 − [r + (R + r) cosψ]2.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle The height of the small cap of the depletion zone that enters the membrane is: Hq2 = R − (R + r) cosψ, (B6) and its radius is: rq2 = p (R + r)2 − [r + (R + r) cosψ]2

Reference 7

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Observation f9072847-19ae-4431-bf0e-2fa41a2a3dc1 · outbound

This paper cites (B13) The membrane deformation barrier at initial contact is approximately: Ebarrier ∼ 4πκ R + 2πγR.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle (B13) The membrane deformation barrier at initial contact is approximately: Ebarrier ∼ 4πκ R + 2πγR

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T06:26:34.063106Z

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Observation 93720451-9981-4ed3-990d-e4e30edb601d · outbound

This paper cites (D3) For a virus of radiusR indenting a cell of radius Rcell, in the limit Rcell ≫ R and Ec ≪ Ev, the combined elastic modulus is: D = 3 4 1 − σ2 c Ec + 1 − σ2 v Ev.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle (D3) For a virus of radiusR indenting a cell of radius Rcell, in the limit Rcell ≫ R and Ec ≪ Ev, the combined elastic modulus is: D = 3 4 1 − σ2 c Ec + 1 − σ2 v Ev

Reference 9

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Observation 2d329a30-da6a-4c03-8e10-27227247e924 · outbound

This paper cites The contact radius for a constant force F is: a3(t) = 3 8 RF Φ(t).

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle The contact radius for a constant force F is: a3(t) = 3 8 RF Φ(t)

Reference 10

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Observation 78303db0-5ccf-49f0-9a98-8fe56c59963b · outbound

This paper cites (D9) Appendix E: Derivation of the Driving F orce The total energy is: E(h) = − cπr 3(r + R) h(−r2 + 3rR + 6R2) + r(2r2 + 13rR + 15R2) kBT − 2πRha + 4πκh R + γπh 2 + 2 √ R 5D h5/2.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle (D9) Appendix E: Derivation of the Driving F orce The total energy is: E(h) = − cπr 3(r + R) h(−r2 + 3rR + 6R2) + r(2r2 + 13rR + 15R2) kBT − 2πRha + 4πκh R + γπh 2 + 2 √ R 5D h5/2

Reference 11

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Observation 8a16cee3-86dd-442c-8909-adc478a56aa2 · outbound

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T06:26:34.331588Z

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Observation 59d11ae0-e285-46d7-aa89-f12058ffad9c · outbound

This paper cites Zhang, H.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Zhang, H

Reference 13

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Observation 512081b8-02de-4043-9e8f-df74bd68c441 · outbound

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 14

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Observation aa12157d-ad24-4c4d-89d8-aeb97962d0b5 · outbound

This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 15

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Observation 0c09514f-9e3a-439e-9c15-c45d5ea58224 · outbound

This paper cites Mercer, M.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Mercer, M

Reference 16

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Observation d00f254c-e5eb-4366-8f72-e414e91d6ef9 · outbound

This paper cites Marsh and A.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Marsh and A

Reference 17

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Observation e15fbeb8-a97d-4138-9bbf-d4e36578e515 · outbound

This paper cites Mammen, S.-K.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Mammen, S.-K

Reference 18

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Observation 1e47f18f-8469-4b50-a577-a535c803b674 · outbound

This paper cites Verma and F.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Verma and F

Reference 19

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Observation 42e63ff3-0c45-4001-98cd-78090d71ff42 · outbound

This paper cites Nelson, Biological Physics (WH Freeman, New York, 2004).

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Nelson, Biological Physics (WH Freeman, New York, 2004)

Reference 20

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Observation e543c387-ccc3-4894-9048-9bf984031698 · outbound

This paper cites Asakura and F.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Asakura and F

Reference 21

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Observation b4e9c601-c81b-4019-a2c7-f5a57c2bf470 · outbound

This paper cites Asakura and F.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Asakura and F

Reference 22

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Observation 2693375c-53ee-4ce3-b4b4-41e829925005 · outbound

This paper cites Vrij, Pure Appl.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Vrij, Pure Appl

Reference 23

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Observation 504e9c72-5e28-4467-96ab-b7b87326f129 · outbound

This paper cites Dinsmore, A.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Dinsmore, A

Reference 24

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Observation 80136daa-dbed-4b04-be0c-6f97fade9c43 · outbound

This paper cites Imhof and J.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Imhof and J

Reference 25

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Observation 3c283fb7-7d16-46d1-8c31-5552c0ca9a3a · outbound

This paper cites Steiner, A.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Steiner, A

Reference 26

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Observation 5b6a16c5-93f3-429b-b51d-4b4635b10f49 · outbound

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

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Observation e166f5a6-a520-4feb-be3a-96a30419edd6 · outbound

This paper cites Dinsmore, D.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Dinsmore, D

Reference 28

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Observation 3835db7e-79e9-4acd-bd15-59f14de4b832 · outbound

This paper cites Irajizad, N.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Irajizad, N

Reference 29

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 30

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 32

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 34

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Observation 150539d9-abc3-4e3f-bf1b-dedd9c545b83 · outbound

This paper cites Wu and H.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Wu and H

Reference 35

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

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This paper cites Rotsch, K.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Rotsch, K

Reference 37

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 38

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 39

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

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Observation 59b94459-ed11-4f27-91a4-9e10cbc2941d · outbound

This paper cites Matarrese and W.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Matarrese and W

Reference 42

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 43

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 44

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Observation b86add4e-b172-47c2-96c0-17c3be872ebd · outbound

This paper cites Kruse, T.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Kruse, T

Reference 45

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Observation 57b91286-c0c2-4de8-b4d6-8946858faec5 · outbound

This paper cites Onsager, Phys.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Onsager, Phys

Reference 46

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Observation b4b4a59f-d17e-4cf9-ba1d-f6c371d15171 · outbound

This paper cites Onsager, Phys.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Onsager, Phys

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Observation fbbe4b3d-c66e-42ad-aa11-0aa8a31a24ca · outbound

This paper cites Doi, Soft Matter Physics(Oxford University Press, Oxford, 2013).

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Doi, Soft Matter Physics(Oxford University Press, Oxford, 2013)

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Observation bb8cf062-c4a7-40a7-9050-a28c5563008b · outbound

This paper cites Arroyo and A.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Arroyo and A

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 51

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Observation 5ad43456-ddb1-4e14-9705-e4c776024383 · outbound

This paper cites Helfrich, Z.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Helfrich, Z

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 53

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Observation 4195b5db-0aef-4153-8f72-05f52eebd023 · outbound

This paper cites Ou-Yang and W.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Ou-Yang and W

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This paper cites Wu and Z.-C.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Wu and Z.-C

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 57

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This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 58

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This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 59

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 60

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Catenacci, R

Reference 61

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This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 62

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 63

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 64

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 65

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This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 66

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 67

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 68

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This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 69

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Unavailable: canonical work link unavailable.

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Huang, Y

Reference 70

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Maiti, K

Reference 71

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This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 72

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This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 73

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Unavailable: canonical work link unavailable.

Observation 4fd4af53-a43f-4f2e-8178-319fa0d7db53 · outbound

This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 74

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Unavailable: canonical work link unavailable.

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Wang and H

Reference 75

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Observation d74f9f04-92ff-46cc-ab2e-0dd41d91caec · outbound

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Levchenko and P

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-02T06:26:40.200864Z

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Unavailable: canonical work link unavailable.

Observation 9c3c4085-e1bd-4371-9b84-2e8fa1546bee · outbound

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Farutin, H

Reference 77

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This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-02T06:26:40.498418Z

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Unavailable: canonical work link unavailable.

Observation f6ed975f-d515-4b9a-9f0e-d503f4067a18 · outbound

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-02T06:26:40.602411Z

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Unavailable: canonical work link unavailable.

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Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Jacobson, P

Reference 80

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Unavailable: canonical work link unavailable.

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This paper cites Wu and Z.-C.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Wu and Z.-C

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-02T06:26:40.847724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0e5f698-097a-42d1-9e6e-27282c06b53a · outbound

This paper cites an unresolved cited work.

Entropy-Driven Initiation and Cellular Uptake Mediated by Viscoelastic Cytoskeleton: A Kinetic Phase Diagram from Onsager Variational Principle Unresolved cited work

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-02T06:26:40.938885Z

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