Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:43:29.945546Z
Paper Citation Record · LEDGER
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions
As of 18 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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
- parse uncertain0
- malformed identifier1
- metadata mismatch1
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:43:35.811298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8cd42cdb-df20-4dec-b9f8-d168549bf11c · 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 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:43:35.648677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 57f9b39d-3210-4440-95d6-674522936871 · outbound
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:43:35.502672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 62482942-43a3-4337-8414-acb19d2009f9 · outbound
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
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:32.683216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8655ff63-9123-44ca-84ea-c43973775bd2 · 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 5
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:43:34.816022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3265f1e6-ff90-479f-85f4-57237b3d57a5 · outbound
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
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-07T12:43:26.409898Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a21231a-3617-4582-a02a-3125d9afa173 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:43:34.251485Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b5499fb1-c7c7-40b5-b907-2c58c0a50668 · 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 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:43:35.367030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2315b1e6-0db7-459b-b003-839dd4f4fd76 · 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 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:43:34.002430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b31ee867-50aa-4c05-a680-968acad2a3d3 · 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 13
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d4f7999-8da0-4699-9bd8-501045886030 · 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 14
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:32.428755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:32.286340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:43:27.415764Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b31fa920-2f4e-4542-a412-724710437241 · 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 19
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:32.003001Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4d4d87f7-cf0a-41b9-9528-6a608f2d9e58 · 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 20
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:31.880133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f89c5ae5-13e3-40e6-885a-4396ce82aeb1 · outbound
This paper cites L., Rutter, E.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions L., Rutter, E
Reference 21
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:31.775519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 165959b0-a066-44a6-b678-7038e4bcc69c · outbound
This paper cites J., Baker, R.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions J., Baker, R
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:43:27.846418Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40ebc3be-193f-4e5d-9d91-1fd4604be207 · outbound
This paper cites M., & Baker, R.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions M., & Baker, R
Reference 23
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-07T12:43:33.096102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e008c3d3-1cbb-4c97-accb-4c13d0fea024 · outbound
This paper cites J., Carrillo, J.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions J., Carrillo, J
Reference 24
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:31.654636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 795dd0be-da19-4246-a456-24d5732d5e9e · outbound
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:43:28.146351Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3565726-4988-4f60-a155-f5c1e1dd55f4 · 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 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:43:33.828789Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 31d38c71-4f0c-458a-8e25-8e6f2c87ce0b · 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 27
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:31.517701Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d42ca09c-a670-4df4-ba04-b1ecab8dd258 · 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 28
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:31.376819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3ffe5098-6a56-4d23-9a6d-d8e7082e3d91 · 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 29
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:31.266533Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 69e3117a-e92a-467b-9ff8-fa342125ef48 · 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 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T12:43:33.659030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 91a42ffa-8396-48ec-b03a-be0f1782e104 · outbound
This paper cites W., Newell, G.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions W., Newell, G
Reference 31
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:31.153339Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6f34ccda-9003-4291-8db4-db44be084b51 · 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 32
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:31.048037Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2fbd7523-b476-433e-b8a2-5a90b37d059b · 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 33
- Resolution
- verified exact
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 739887fc-94ed-492b-a0a0-8d46e5714fc9 · outbound
This paper cites J., Zeppetella, A.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions J., Zeppetella, A
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:43:28.932141Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08d2536d-fc5a-48e2-8a94-f9161e397fba · 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 35
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:30.767620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 98a16450-fcfd-4be3-80de-66395f79a321 · outbound
This paper cites A., Mansfield, E.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions A., Mansfield, E
Reference 36
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:30.691659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ca4e0f99-034b-42f5-8274-c41b262a2d3f · 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 37
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:30.554388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6e39e358-b8cb-4961-be52-b87ecf69b3a8 · outbound
This paper cites T., McCue, S.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions T., McCue, S
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:43:29.318559Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e43b1ea-80ec-420f-8e45-5213203b1601 · 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 39
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:30.428484Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f6ccdab5-e46c-41e9-8328-6a9ebd442f5f · outbound
This paper cites K., Cohen, D.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions K., Cohen, D
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:43:29.549642Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4bfef8a0-3198-4560-b6e2-a772ce88da94 · 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 41
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:30.278111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 238a3551-1128-4d4a-bdac-220f82592564 · 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 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:43:29.701511Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ec48a3e-0ebe-43f2-84ef-a5d0e8f7f240 · outbound
This paper cites (1943) Introduction to the Mathema tical Theory of the Conduction of Heat in 18 Solid Bodies.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:43:33.298506Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1a73cbef-4cdd-4519-89cc-55349431da0d · 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 44
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:30.175985Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 47cb4b96-d587-4328-9aa8-f31944bcad3f · outbound
This paper cites A., & Viens, F.
On study of cell proliferation and diffusion using nonlinear transforms of heat equation solutions A., & Viens, F
Reference 45
- Resolution
- verified exact
- doi, observed 2026-08-07T12:43:30.089084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.