Paper Citation Record · LEDGER

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects

As of 22 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2507.13653.

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

pith.paper-citation-record.v1
2507.13653 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:26:14.319433Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

36 of 36 outbound references displayed

verified exact0
verified fuzzy35
unresolved1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1059b1b5-a809-41cf-b66a-5d4c419b7744 · outbound

This paper cites International Journal of Nonlinear Analysis and Applications 13(1), 1341–1350 (2022).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects International Journal of Nonlinear Analysis and Applications 13(1), 1341–1350 (2022)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.595346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 20e27e0a-d588-4f43-acd3-020354848566 · outbound

This paper cites In: Seminars in Thrombosis and Hemostasis, vol.

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects In: Seminars in Thrombosis and Hemostasis, vol

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.588586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a0075501-f4f4-4972-bbed-aaf80f53bb88 · outbound

This paper cites Journal of Investigative Dermatol- ogy Symposium Proceedings 5(1), 3–9 (2000).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Journal of Investigative Dermatol- ogy Symposium Proceedings 5(1), 3–9 (2000)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.581850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9a359382-40ca-4414-9c24-589042ffa1f0 · outbound

This paper cites Plastic and Reconstructive Surgery 143(2), 310–321 (2019).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Plastic and Reconstructive Surgery 143(2), 310–321 (2019)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.574762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 939446fe-9683-46fe-bd43-afaccddf3456 · outbound

This paper cites Archives of Hand and Microsurgery 26(4), 285–292 (2021) Dharmangadan Sree, V.: Multiscale and multiphysics modeling of pressure driven ischemia and ulcer formation in the skin.

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Archives of Hand and Microsurgery 26(4), 285–292 (2021) Dharmangadan Sree, V.: Multiscale and multiphysics modeling of pressure driven ischemia and ulcer formation in the skin

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.568024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8d45dcb9-65b0-4cf8-83aa-12961722cd44 · outbound

This paper cites Symmetry 13(6), 1020 (2021).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Symmetry 13(6), 1020 (2021)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.560680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 304b8701-d14e-4030-a82c-1ddef7b0ac0e · outbound

This paper cites Journal of Non-Newtonian Fluid Mechanics 287, 104464 (2021).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Journal of Non-Newtonian Fluid Mechanics 287, 104464 (2021)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.553965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b429f051-14d6-4be3-9470-84d2af46497d · outbound

This paper cites Springer, New York (2013).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Springer, New York (2013)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.546680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e644215e-c9b0-41f3-9b2c-91ba1ef2082b · outbound

This paper cites Blood Purification 49(1-2), 143–150 (2020).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Blood Purification 49(1-2), 143–150 (2020)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.539392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dbfde469-ffff-4401-9f20-1427614aeca0 · outbound

This paper cites an unresolved cited work.

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:14.532308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e76148d4-bd8b-4d7d-84bc-bf341ada2d48 · outbound

This paper cites Composites Part B: Engineering 35(6-8), 591–598 (2004).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Composites Part B: Engineering 35(6-8), 591–598 (2004)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.525411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2bb60d92-015e-45b3-bc4e-29532444fc75 · outbound

This paper cites Journal of the Mechanics and Physics of Solids 186, 105605 (2024).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Journal of the Mechanics and Physics of Solids 186, 105605 (2024)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.518370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2bf23a8c-d174-4ab3-a3c9-bc021bf9055a · outbound

This paper cites Journal of Biomedical Optics24(8), 080901 (2019).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Journal of Biomedical Optics24(8), 080901 (2019)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.511443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dc679fc7-4b1f-4987-954a-59a6de78a850 · outbound

This paper cites In: Coro- nary Circulation: Anatomy, Mechanical Properties, and Biomechanics, pp.

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects In: Coro- nary Circulation: Anatomy, Mechanical Properties, and Biomechanics, pp

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.504572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fe6ca029-fdf1-4b9e-8551-15c8abce4b98 · outbound

This paper cites Annals of Biomedical Engineering 35, 2095–2107 (2007).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Annals of Biomedical Engineering 35, 2095–2107 (2007)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.497654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6efeb059-2124-45fe-b2b3-168e684ade74 · outbound

This paper cites Advances in Skin & Wound Care 21(6), 282–292 (2008).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Advances in Skin & Wound Care 21(6), 282–292 (2008)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.490898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bb0ec516-e27a-4f58-adb6-93ed4dd8fe29 · outbound

This paper cites basic concepts.

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects basic concepts

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.483837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 719b4442-201b-411f-85cd-419f9c287f70 · outbound

This paper cites American Journal of Physiology-Heart and Circulatory Physiology 323(5), 1019–1036 (2022).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects American Journal of Physiology-Heart and Circulatory Physiology 323(5), 1019–1036 (2022)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.477019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c07f0433-6aa8-4564-af55-dc1002e1f409 · outbound

This paper cites World 1(3), 13–23 (2012).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects World 1(3), 13–23 (2012)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.469943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fcd4098f-e7bf-49da-a829-f939cab7c581 · outbound

This paper cites Archives of Pharmacy Practice 14(2-2023), 70–74 (2023).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Archives of Pharmacy Practice 14(2-2023), 70–74 (2023)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.462894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 488fb320-1d66-489b-acfd-fcd4a83e1729 · outbound

This paper cites Master’s thesis, Aalto University (2022).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Master’s thesis, Aalto University (2022)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.456224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1a987737-df8d-4a0d-b866-d8838ad89de1 · outbound

This paper cites Arteriosclerosis, Thrombosis, and Vascular Biology 39(11), 233–243 (2019).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Arteriosclerosis, Thrombosis, and Vascular Biology 39(11), 233–243 (2019)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.449138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 62cf590a-dfdd-442b-bfbf-808b822f0def · outbound

This paper cites European Journal of Vascular and Endovascular Surgery 57(2), 276–282 (2019).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects European Journal of Vascular and Endovascular Surgery 57(2), 276–282 (2019)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.441544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation beff0b2e-ca11-4ca9-aed5-5637260230b2 · outbound

This paper cites Physiological Reports 10(10), 15303 (2022).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Physiological Reports 10(10), 15303 (2022)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.434424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 92e64940-0884-45f7-90ff-80cc49f185cd · outbound

This paper cites Cureus 12(2) (2020).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Cureus 12(2) (2020)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.427495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fcf56086-9ff2-40b6-bf6a-ea7d4fc36b01 · outbound

This paper cites International Journal for Numerical Methods in Biomedical Engineering 35(12), 3277 (2019).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects International Journal for Numerical Methods in Biomedical Engineering 35(12), 3277 (2019)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.420473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 94078043-8ccd-43ca-a4d7-8ebbee601735 · outbound

This paper cites Frontiers in Physiology 12, 712636 (2021).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Frontiers in Physiology 12, 712636 (2021)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.412520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7d2b7a50-54c4-45cb-8e52-d532fc4bb3fd · outbound

This paper cites Polish Archives of Internal Medicine 130(2), 130–139 (2020).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Polish Archives of Internal Medicine 130(2), 130–139 (2020)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.405259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0df67604-e2dc-44e6-9350-b104815bdf0c · outbound

This paper cites Biomechanics and Modeling in Mechanobiology 18, 1947–1964 (2019).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Biomechanics and Modeling in Mechanobiology 18, 1947–1964 (2019)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.397807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 07e8fb51-253e-4a7d-ac85-2a823907835e · outbound

This paper cites Advanced Functional Materials 34(1), 2305245 (2024).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Advanced Functional Materials 34(1), 2305245 (2024)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.390533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 81f9d46d-fe0d-4572-a618-eca20bb86787 · outbound

This paper cites Journal of the Mechanics and Physics of Solids 174, 105274 (2023).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Journal of the Mechanics and Physics of Solids 174, 105274 (2023)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.382894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c843d07d-5219-46f3-965c-e7eee2e2d7ad · outbound

This paper cites Metabolism 43(1S), 84–197 (2023).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Metabolism 43(1S), 84–197 (2023)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.374648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 99b9845f-10b8-4b6e-b4b0-05ba0ed8f0e7 · outbound

This paper cites Digital Medicine 5(4), 141–153 (2019).

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Digital Medicine 5(4), 141–153 (2019)

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.367251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fd68e8c8-c3d4-4199-a9ca-b9c784aea565 · outbound

This paper cites In: Clinically Applied Microcirculation Research, pp.

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects In: Clinically Applied Microcirculation Research, pp

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.360033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 18bf1070-28a7-4ec2-8e11-fa04eba4d0a5 · outbound

This paper cites In: Cerebral Venous System in Acute and Chronic Brain Injuries, pp.

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects In: Cerebral Venous System in Acute and Chronic Brain Injuries, pp

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.352672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4e94cbf4-a4f7-4f67-831f-6316016443fc · outbound

This paper cites Current Hepatology Reports 19, 40–53 (2020) 17.

Coupled Modeling of External Pressure and Capillary Blood Flow: Nonlinear Dynamics of Vascular Elasticity and Collapse Effects Current Hepatology Reports 19, 40–53 (2020) 17

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:14.344689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.