Paper Citation Record · LEDGER

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion

As of 23 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2506.03138.

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

pith.paper-citation-record.v1
2506.03138 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:13:51.986670Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

39 of 39 outbound references displayed

verified exact4
verified fuzzy33
unresolved1
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation febc2abd-30b3-45a6-b9e3-d384d2588c4f · outbound

This paper cites Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:13:52.719851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b782380f-1977-4b82-a472-241e9cde33a3 · outbound

This paper cites Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:13:52.552277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fe5934a2-f69e-4c2f-861c-3b34b5719eb2 · outbound

This paper cites Active fin- gering instability in tissue spreading.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Active fin- gering instability in tissue spreading

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:14:00.282913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 47665c0c-3dfc-446e-ab05-dcbf9c4b0d42 · outbound

This paper cites Bacterial active matter.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Bacterial active matter

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:59.969062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c2ac3420-fa0e-4db2-9ddb-45cd494f56c1 · outbound

This paper cites Adhesion-dependent wave generation in crawling cells.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Adhesion-dependent wave generation in crawling cells

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:59.707501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3e61df5c-9029-435f-896e-b6a0691f9340 · outbound

This paper cites An adhesion-dependent switch between mechanisms that determine motile cell shape.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion An adhesion-dependent switch between mechanisms that determine motile cell shape

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:59.432692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ccb6bdfb-63de-4880-90e9-303ab84017fa · outbound

This paper cites Phase-field model of cell motility: Traveling waves and sharp interface limit.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Phase-field model of cell motility: Traveling waves and sharp interface limit

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:59.142751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7a9c4d15-4816-4103-9c53-f88162a368bd · outbound

This paper cites Nonlinear stability in a free boundary model of active locomotion.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Nonlinear stability in a free boundary model of active locomotion

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:13:52.354977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 268fecc5-6da9-4491-b425-58006f7ef0d6 · outbound

This paper cites Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:58.806541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3ec3177c-e242-4f6f-95ad-6c8f823bb153 · outbound

This paper cites Spontaneous motility of actin lamellar fragments.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Spontaneous motility of actin lamellar fragments

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:58.455301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 76de0dd5-701e-41c5-ad75-9799c45bb789 · outbound

This paper cites Symmetry-breaking bifurcations for free boundary problems.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Symmetry-breaking bifurcations for free boundary problems

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:58.242937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 51eea52e-a446-490d-9cfb-93abb29a9df9 · outbound

This paper cites Noise-driven bifurcations in a nonlinear Fokker–Planck system describing stochastic neural fields.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Noise-driven bifurcations in a nonlinear Fokker–Planck system describing stochastic neural fields

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:58.033618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e8cd8617-87d9-4b1d-a0c9-c2e805777387 · outbound

This paper cites Well-posedness and sta- bility of a stochastic neural field in the form of a partial differential equation.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Well-posedness and sta- bility of a stochastic neural field in the form of a partial differential equation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:57.859749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2509322f-43c3-49aa-901f-d6187b120df4 · outbound

This paper cites Cell motility as an energy minimization process.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Cell motility as an energy minimization process

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:57.658406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation aec46195-2caa-4cda-83d6-46755b70126d · outbound

This paper cites A hybrid stochastic–deterministic mechanochem- ical model of cell polarization.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion A hybrid stochastic–deterministic mechanochem- ical model of cell polarization

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:57.441356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f872e907-1acf-4539-b898-d028d8a5887f · outbound

This paper cites Bifurcation from simple eigen- values.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Bifurcation from simple eigen- values

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:57.275592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation eda291eb-888c-4dbc-93e5-e92d75551df7 · outbound

This paper cites Free and Moving Boundary Problems.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Free and Moving Boundary Problems

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:57.036340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ef2c6078-d3a8-49a9-b927-018204005100 · outbound

This paper cites A Cahn–Hilliard Model for Cell Motility.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion A Cahn–Hilliard Model for Cell Motility

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:56.812612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d65338ae-e00e-4947-b505-85f75dc6b78b · outbound

This paper cites Self polarization and traveling wave in a model for cell crawling migration.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Self polarization and traveling wave in a model for cell crawling migration

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:56.607966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 568d6791-d478-44c5-885a-deec4c170282 · outbound

This paper cites Optogenetic control of migration of contractile cells predicted by an active gel model.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Optogenetic control of migration of contractile cells predicted by an active gel model

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:56.439168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 584f97db-4205-4e0c-b27e-dc5b9d6734d1 · outbound

This paper cites Asymptotic stability for a free boundary prob- lem arising in a tumor model.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Asymptotic stability for a free boundary prob- lem arising in a tumor model

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:56.315448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7fc5e1a5-a5ed-47cd-9531-a71c4b2c8360 · outbound

This paper cites Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:13:52.155423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2808184b-bafc-4fd5-bb2a-7b66f9b1bb29 · outbound

This paper cites The 2020 motile active matter roadmap.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion The 2020 motile active matter roadmap

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:56.076737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ccc11891-e3fa-43cb-934c-a958920b42fa · outbound

This paper cites Conformal and Potential Anal- ysis in Hele-Shaw cells.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Conformal and Potential Anal- ysis in Hele-Shaw cells

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:55.861675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 400d6171-81b9-4277-be90-9676db3cd0a3 · outbound

This paper cites Mechanism of shape determination in motile cells.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Mechanism of shape determination in motile cells

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:55.615076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1559a882-c3ea-4670-b824-507e25a8dc24 · outbound

This paper cites Free boundary problems for Stokes flow, with applications to the growth of biological tissues.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Free boundary problems for Stokes flow, with applications to the growth of biological tissues

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:55.458862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation abc829c7-399a-4c37-9c6e-b178c615901a · outbound

This paper cites Emergence of large-scale cell morphology and move- ment from local actin filament growth dynamics.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Emergence of large-scale cell morphology and move- ment from local actin filament growth dynamics

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:55.216216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bfe6591d-8b64-44aa-a3e9-a023f1864159 · outbound

This paper cites Hydrodynamics of soft active matter.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Hydrodynamics of soft active matter

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:55.069742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ef19a48a-f1a8-44a0-bb66-44e7f8c22850 · outbound

This paper cites Mechanical stress as a regulator of cell motility.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Mechanical stress as a regulator of cell motility

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:54.864411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c16b539b-2af2-4580-911b-ec5f2c1f52b9 · outbound

This paper cites Contraction-driven cell motility.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Contraction-driven cell motility

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:54.696051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4cd36f5f-e138-4e40-870b-40aba62d92a2 · outbound

This paper cites Mechanics of motility initiation and motility arrest in crawling cells.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Mechanics of motility initiation and motility arrest in crawling cells

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:54.498176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 359d22b9-c561-4500-8a3c-079e98df0ac8 · outbound

This paper cites Polarization and motility of one-dimensional multi- cellular trains.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Polarization and motility of one-dimensional multi- cellular trains

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:54.294078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ab72f0cf-92c7-48f9-b3af-0d9c25ea1122 · outbound

This paper cites Emergence of traveling waves and their stability in a free boundary model of cell motility.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Emergence of traveling waves and their stability in a free boundary model of cell motility

Reference 33

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T11:13:54.097255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f57397dc-d187-439a-a0cf-1704f352ffce · outbound

This paper cites Asymptotic sta- bility of contraction-driven cell motion.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Asymptotic sta- bility of contraction-driven cell motion

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:53.866218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6aa80878-9b85-4161-b637-680393912ecf · outbound

This paper cites Cancer therapy with immune check- point inhibitor and CSF-1 blockade: A mathematical model.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Cancer therapy with immune check- point inhibitor and CSF-1 blockade: A mathematical model

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:53.660270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation de47f2a6-e036-430e-83c0-aa0ab800fa6b · outbound

This paper cites Bifurcation for a free-boundary problem modeling small plaques with reverse cholesterol transport.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Bifurcation for a free-boundary problem modeling small plaques with reverse cholesterol transport

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:53.470518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fc889773-1aa4-460b-b2e1-997096883337 · outbound

This paper cites Computational approaches to substrate- based cell motility.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Computational approaches to substrate- based cell motility

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:53.287011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1bb07fee-8058-429d-bb25-77f2d7e6c4a4 · outbound

This paper cites Expansion of (10) in V : First, we must expand the unit normal vector ν(θ).

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Expansion of (10) in V : First, we must expand the unit normal vector ν(θ)

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:13:53.131728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3381b86d-4012-4595-92a3-11f83e621fad · outbound

This paper cites an unresolved cited work.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:13:52.928745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.