Paper Citation Record · LEDGER

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions

As of 13 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2505.23988.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.23988 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:43:29.945546Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

verified exact21
verified fuzzy5
unresolved17
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c4b9af7e-cdce-4d7c-ba9d-2814f41e5315 · outbound

This paper cites an unresolved cited work.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 1

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This paper cites an unresolved cited work.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 2

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This paper cites The paper is organized as follows : In Model and Methods section we d escribe in details the methods required for all the 3 objectives as described above.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions The paper is organized as follows : In Model and Methods section we d escribe in details the methods required for all the 3 objectives as described above

Reference 3

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This paper cites W., Ottino-L¨ oﬄer, B., & Kardar, M.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions W., Ottino-L¨ oﬄer, B., & Kardar, M

Reference 4

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 5

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Observation 87e24cb8-80f6-4701-8f02-8545c18fd305 · outbound

This paper cites RESULTS Table II: Summary table of solutions(Richards Model).

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions RESULTS Table II: Summary table of solutions(Richards Model)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:43:35.069462Z

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Observation 36e21bb0-aedb-4638-a65f-6826e6cb1b34 · outbound

This paper cites an unresolved cited work.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 7

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This paper cites Estimation using residual error and log-likelihood surfac es First we take up ( 14), where we assume a Gaussian distribution of the residual Errors.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Estimation using residual error and log-likelihood surfac es First we take up ( 14), where we assume a Gaussian distribution of the residual Errors

Reference 8

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This paper cites Mathema tical Modeling of Cell Growth via Inverse Problem and Computational Approach.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Mathema tical Modeling of Cell Growth via Inverse Problem and Computational Approach

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:43:34.551579Z

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Observation 1affa38c-717b-41c9-8aa6-ec002fd1df27 · outbound

This paper cites (1937) A study of the diﬀusion equation with increase in the amount of substance,” and its application to a biologi cal problem.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions (1937) A study of the diﬀusion equation with increase in the amount of substance,” and its application to a biologi cal problem

Reference 10

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Observation b5499fb1-c7c7-40b5-b907-2c58c0a50668 · outbound

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 11

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Observation 2315b1e6-0db7-459b-b003-839dd4f4fd76 · outbound

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 12

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This paper cites an unresolved cited work.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 13

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This paper cites an unresolved cited work.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 14

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Observation 8eb27e42-ff51-4e9f-a3c6-6842ad801796 · outbound

This paper cites an unresolved cited work.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 15

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Observation 0c7689fc-ed55-48c2-bf30-9cebeec418e1 · outbound

This paper cites an unresolved cited work.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 16

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Observation 9936def8-a2c6-4012-a0c8-919033274d68 · outbound

This paper cites W., Jin, W., Moroney, T.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions W., Jin, W., Moroney, T

Reference 17

Resolution: verified exact; doi, observed 2026-08-07T12:43:32.162545Z

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Observation 3388c505-e74a-4e28-a22f-d62384893f84 · outbound

This paper cites Q., Landman, K.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Q., Landman, K

Reference 18

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 19

Resolution: verified exact; doi, observed 2026-08-07T12:43:32.003001Z

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 20

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Observation f89c5ae5-13e3-40e6-885a-4396ce82aeb1 · outbound

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions L., Rutter, E

Reference 21

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Observation 165959b0-a066-44a6-b678-7038e4bcc69c · outbound

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions J., Baker, R

Reference 22

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions M., & Baker, R

Reference 23

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Observation e008c3d3-1cbb-4c97-accb-4c13d0fea024 · outbound

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions J., Carrillo, J

Reference 24

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This paper cites Communications on Pure and Applied Mathematics 3(3):201-230 https://doi.org/10.1002/cpa.3160030302.

On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Communications on Pure and Applied Mathematics 3(3):201-230 https://doi.org/10.1002/cpa.3160030302

Reference 25

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Reference 26

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 27

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 28

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 29

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Reference 30

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions W., Newell, G

Reference 31

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 32

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 33

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions J., Zeppetella, A

Reference 34

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 35

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions A., Mansﬁeld, E

Reference 36

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Reference 37

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions T., McCue, S

Reference 38

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 39

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions K., Cohen, D

Reference 40

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 41

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Observation 238a3551-1128-4d4a-bdac-220f82592564 · outbound

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions Unresolved cited work

Reference 42

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On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions (1943) Introduction to the Mathema tical Theory of the Conduction of Heat in 18 Solid Bodies

Reference 43

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Observation 1a73cbef-4cdd-4519-89cc-55349431da0d · outbound

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Reference 44

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Reference 45

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Pith citing papers

No inbound Pith citation observations are available.