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Paper Citation Record · LEDGER

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue

As of 14 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 2 inbound Pith citation observations for arXiv:2607.28414.

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

pith.paper-citation-record.v1
2607.28414 v1

Coverage vector

measured 56 of 56 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-31T08:09:36.695903Z

measured 58 of 58 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T05:19:43.572760Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T05:33:17.777113Z

Reference resolution

56 of 56 outbound references displayed

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External citation measurements

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Outbound references

Observation c856e027-dbc6-406f-983e-39dd42192703 · outbound

This paper cites Swanson, J.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Swanson, J

Reference 1

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Observation 4edbc907-93cf-4f18-a359-68c5ac9ea43c · outbound

This paper cites Barr, Giovanna Ferraioli, Mark L.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Barr, Giovanna Ferraioli, Mark L

Reference 2

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Observation 14b898a8-9b00-44ea-8689-7f1449727f52 · outbound

This paper cites Ultrasound elastogra- phy: principles and techniques.Diagnostic and Interventional Imaging, 94(5):487–495, 2013.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Ultrasound elastogra- phy: principles and techniques.Diagnostic and Interventional Imaging, 94(5):487–495, 2013

Reference 3

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Observation b7827d67-8a52-4ad6-b18d-72d2b3af3403 · outbound

This paper cites an unresolved cited work.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 4

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Observation 2f0490a2-fcc0-4a5c-9fb7-32e782ba83af · outbound

This paper cites Butler, and Robin O.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Butler, and Robin O

Reference 5

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Observation a67cf8d3-1e43-4581-8c9b-14a22f85520b · outbound

This paper cites an unresolved cited work.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 6

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Observation 6273fbf5-6bc4-4226-87a5-ef064f20ef5b · outbound

This paper cites Pinton, J.-F.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Pinton, J.-F

Reference 7

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Observation 0c882a98-dfbc-4c4d-8de6-879b00d485fe · outbound

This paper cites Acoustic radiation force impulse imaging: in vivo demonstration of clinical feasibility.Ultrasound in Medicine & Biology, 28(2):227–235, 2002.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Acoustic radiation force impulse imaging: in vivo demonstration of clinical feasibility.Ultrasound in Medicine & Biology, 28(2):227–235, 2002

Reference 8

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Observation bbd2fedd-f6ae-46fc-92a7-0a965b97803a · outbound

This paper cites Palmeri and Kathryn R.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Palmeri and Kathryn R

Reference 9

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Observation 18703fe8-02c2-4c93-b6fb-3f28765e0874 · outbound

This paper cites an unresolved cited work.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 10

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Observation 0e49a9d8-4acf-4146-9a1c-84a4e154d761 · outbound

This paper cites an unresolved cited work.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 11

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Observation a57ddf57-08b5-46c8-904a-71bcca60cc92 · outbound

This paper cites Neuromodulation with transcranial focused ultrasound.Neurosurgical Focus, 44(2):E14, 2018.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Neuromodulation with transcranial focused ultrasound.Neurosurgical Focus, 44(2):E14, 2018

Reference 12

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Observation 7d4c2951-fbc2-457d-9a14-a69d7ab0321a · outbound

This paper cites Mittelstein, Robert C.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Mittelstein, Robert C

Reference 13

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Observation 25a3f68b-673b-4e7e-8254-aebbec600d72 · outbound

This paper cites an unresolved cited work.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 14

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Observation d849ff9b-c87a-4686-9a55-d5c2e9c1aa46 · outbound

This paper cites an unresolved cited work.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 15

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Observation 145c631c-c0a2-425c-b24a-1698319e8273 · outbound

This paper cites Palmeri, Bo Qiang, Shigao Chen, and Matthew W.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Palmeri, Bo Qiang, Shigao Chen, and Matthew W

Reference 16

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Observation 4f6bab8d-b3fe-4c12-a25d-7514ac8d79e7 · outbound

This paper cites Supersonic shear imaging: a new technique for soft tissue elasticity mapping.IEEE TUFFC, 51(4):396–409, 2004.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Supersonic shear imaging: a new technique for soft tissue elasticity mapping.IEEE TUFFC, 51(4):396–409, 2004

Reference 17

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Observation d98e6b48-ec5e-4cf6-aa30-7406c246f5b8 · outbound

This paper cites Szabo.Diagnostic Ultrasound Imaging: Inside Out.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Szabo.Diagnostic Ultrasound Imaging: Inside Out

Reference 18

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Observation 71551901-9340-4e5c-88c0-6d149cba4937 · outbound

This paper cites Duck.Physical Properties of Tissue: A Comprehensive Reference Book.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Duck.Physical Properties of Tissue: A Comprehensive Reference Book

Reference 19

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Observation 4417a349-1309-411e-9b29-7fcafcd9d261 · outbound

This paper cites Transient elastography: a new noninvasive method for assessment of hepatic fibrosis.Ultrasound in Medicine & Biology, 29(12):1705–1713, 2003.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Transient elastography: a new noninvasive method for assessment of hepatic fibrosis.Ultrasound in Medicine & Biology, 29(12):1705–1713, 2003

Reference 20

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Observation 17afc42b-c9c7-429f-a7df-2fff49e04543 · outbound

This paper cites Quantitative assessment of breast lesion viscoelasticity: initial clinical results using supersonic shear imaging.Ultrasound in Medicine & Biology, 34(9):1373–1386, 2008.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Quantitative assessment of breast lesion viscoelasticity: initial clinical results using supersonic shear imaging.Ultrasound in Medicine & Biology, 34(9):1373–1386, 2008

Reference 21

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Observation 67169526-8b24-42ca-9c59-01411e56c1ae · outbound

This paper cites Urban, and Robert J.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Urban, and Robert J

Reference 22

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Observation b91766a9-7aaf-4cfb-baba-d9d891425ded · outbound

This paper cites Palmeri, Amy C.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Palmeri, Amy C

Reference 23

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Observation ac7c9ae0-9b97-4af5-99b4-70b991779c3b · outbound

This paper cites Nightingale, Roger W.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Nightingale, Roger W

Reference 24

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Observation f281331c-b1e3-4b29-8438-f7be2849a6c3 · outbound

This paper cites Palmeri, Michael H.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Palmeri, Michael H

Reference 25

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Observation 23addeff-c4eb-414c-947f-01761076e2ab · outbound

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A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 26

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Observation e3a0d390-1743-47be-b10a-6b2c63c124b7 · outbound

This paper cites Palmeri and Kathryn R.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Palmeri and Kathryn R

Reference 27

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Observation 5da805be-2a83-46da-9fd0-463ab8f89577 · outbound

This paper cites an unresolved cited work.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 28

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Observation 226a205e-e1f4-4798-9ce7-4aa5ee890280 · outbound

This paper cites Langdon, K.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Langdon, K

Reference 29

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Observation 1ff65eb1-cb39-4559-9bf5-08094243cdb5 · outbound

This paper cites Brigham, Sara Aristizabal, James F.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Brigham, Sara Aristizabal, James F

Reference 30

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Observation c5c34c41-225a-4593-ba81-fab9d2af85c8 · outbound

This paper cites Gennisson, S.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Gennisson, S

Reference 31

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Observation 6094c72a-4f25-4ae7-8e98-a9067abb9f3d · outbound

This paper cites Call´ e, J.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Call´ e, J

Reference 32

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Observation dff93692-cf85-4f32-911c-a4241b7ef699 · outbound

This paper cites Chatelin, I.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Chatelin, I

Reference 33

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Observation 6342cb6a-10bb-4823-b7e0-b906be4558b7 · outbound

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A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 34

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Observation 7c480c4c-cfc6-4eec-aaba-9d05c1f06fe4 · outbound

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A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 35

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Observation 45738683-a4e5-4433-8d1e-62761731da8a · outbound

This paper cites Graff.Wave Motion in Elastic Solids.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Graff.Wave Motion in Elastic Solids

Reference 36

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Observation 52183837-f775-4198-84ca-b63c4e6ce3b8 · outbound

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A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 37

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Observation 7241c485-6ff3-412d-af14-b6c5993d2291 · outbound

This paper cites Catheline, J.-L.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Catheline, J.-L

Reference 38

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Observation e0c3f94c-ec93-49f2-b10b-7695b6c09fe9 · outbound

This paper cites Ferry.Viscoelastic Properties of Polymers.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Ferry.Viscoelastic Properties of Polymers

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source=pdf_text observed=2026-07-31T08:09:36.578830Z digest=sha256:ea548017ca3c33142e35da6928761c9e14a06844d24fadf5807a8ed0f5647a28

Observation 8bc75183-21e8-4839-bacb-88bb81ca819f · outbound

This paper cites Hagness.Computational Electrodynamics: The Finite-Difference Time- Domain Method.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Hagness.Computational Electrodynamics: The Finite-Difference Time- Domain Method

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source=pdf_text observed=2026-07-31T08:09:36.586199Z digest=sha256:d702ce8578ac1bb00a53e96bffd27e108c6dc5f2dd82340d07e3eb482cc8097b

Observation 5782110a-d15c-473b-b6fc-8892243af826 · outbound

This paper cites Courant, K.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Courant, K

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source=pdf_text observed=2026-07-31T08:09:36.592748Z digest=sha256:ee9d72f8f33c653a6f6297ccf0297b815e108ccec69019035a87783005fbdaa8

Observation dd02e934-07af-424a-96cf-cd4609ff2e51 · outbound

This paper cites An introduction to the conjugate gradient method without the agonizing pain.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue An introduction to the conjugate gradient method without the agonizing pain

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source=pdf_text observed=2026-07-31T08:09:36.599388Z digest=sha256:2726413ffd3de5cbaefdd3aac1a0ce8ad470f8d62e52a0381804e1f5d9ab8724

Observation a8c2bf3b-676d-475c-8986-29253462ed03 · outbound

This paper cites Golub and Charles F.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Golub and Charles F

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source=pdf_text observed=2026-07-31T08:09:36.604426Z digest=sha256:9f7b8c961732175b98704de6a87c55fbe4bf16123fabafdf2d275d0024a0443e

Observation 8d64792a-c6c3-45f2-8b20-4dc04d1c4087 · outbound

This paper cites Ultrasound imaging of the human body with three dimensional full-wave nonlinear acoustics. Part 1: simulations methods.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Ultrasound imaging of the human body with three dimensional full-wave nonlinear acoustics. Part 1: simulations methods

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source=pdf_text observed=2026-07-31T08:09:36.609627Z digest=sha256:cc1dd063206bf4739facbabc9ae84b07421ac0d947cf23e36ba0703a61bea67d

Observation 122ab1b6-6885-4520-81c6-a796693f399e · outbound

This paper cites Evaluation of the angular spectrum approach for sim- ulations of near-field pressures.The Journal of the Acoustical Society of America, 123(1):68–76, 2008.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Evaluation of the angular spectrum approach for sim- ulations of near-field pressures.The Journal of the Acoustical Society of America, 123(1):68–76, 2008

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source=pdf_text observed=2026-07-31T08:09:36.617879Z digest=sha256:1e0699e98e933a1409260ce3ab2192200a81113ee84eac1951eeab600cbeb917

Observation 42666599-a105-406a-ba09-3dcc5e152f5d · outbound

This paper cites A perfectly matched layer for the absorption of electromagnetic waves.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue A perfectly matched layer for the absorption of electromagnetic waves

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source=pdf_text observed=2026-07-31T08:09:36.623555Z digest=sha256:8ac0172f8bed1340cb20283a31a81fd199399f9c1f57c871041a2e5ad6a9c80d

Observation a4066c9f-5f33-478c-bd46-7f286ffd7938 · outbound

This paper cites Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media.Geophysics, 66(1):294– 307, 2001.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media.Geophysics, 66(1):294– 307, 2001

Reference 47

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source=pdf_text observed=2026-07-31T08:09:36.629246Z digest=sha256:be0b62b0875e74e642f7d46402b2638650640e0d4b4ef1972aaa953529989de2

Observation 3017b464-f3da-4847-bddf-a91037a58633 · outbound

This paper cites McCall, Robert M.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue McCall, Robert M

Reference 48

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source=pdf_text observed=2026-07-31T08:09:36.634318Z digest=sha256:9559ac8ee5321efc7ade68ef1b3175d2f3b6845a2503003c7e740547f912130c

Observation a72bcfa7-4fc9-42a3-bee9-de75de4b8406 · outbound

This paper cites A micro-CT of a human skull.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue A micro-CT of a human skull

Reference 49

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source=pdf_text observed=2026-07-31T08:09:36.641701Z digest=sha256:f86d5bd9638c441016ceb0f136e9e1d42ebbb942d1e8ee077c8a03cc827ecd1f

Observation 9e8fba6a-ffe0-4b28-9d23-169b090a067f · outbound

This paper cites Connor, Greg T.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Connor, Greg T

Reference 50

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unresolved
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source=pdf_text observed=2026-07-31T08:09:36.650312Z digest=sha256:1a9d7e5ef8da30f84f672e919b0ffcca155203ca67bdb0d868a0a019eee31050

Observation 9ca41a62-392c-4da5-b57d-6a3e9f66a83b · outbound

This paper cites Pinton, Jeremy Dahl, Steve Rosenzweig, and Gregg E.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Pinton, Jeremy Dahl, Steve Rosenzweig, and Gregg E

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source=pdf_text observed=2026-07-31T08:09:36.659298Z digest=sha256:a5cca6ae9dbb22ac1d532167315ceb789e4cd640e7197d6847c76cf725f733bb

Observation 6e61b16f-f5d1-49ce-9267-276052ceb3f7 · outbound

This paper cites White mat- ter tract transcranial ultrasound stimulation, a computational study.Computers in Biology and Medicine, 140:105094, 2022.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue White mat- ter tract transcranial ultrasound stimulation, a computational study.Computers in Biology and Medicine, 140:105094, 2022

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source=pdf_text observed=2026-07-31T08:09:36.668074Z digest=sha256:5df9635404ab84308692ab5d9ebf829e5ace96db73ad846c8d8d7e69a9fea514

Observation 3239757a-44d6-47aa-8e16-fdbc09c02c28 · outbound

This paper cites an unresolved cited work.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 53

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source=pdf_text observed=2026-07-31T08:09:36.675091Z digest=sha256:d0a9d521ff499b529dff7f1cd3609d8b34bb7228fe44b382801c027e717eadee

Observation d0c141f3-ba0e-4fe4-a6f0-6f8f6e5cdc2a · outbound

This paper cites Espindola, S.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Espindola, S

Reference 54

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source=pdf_text observed=2026-07-31T08:09:36.683557Z digest=sha256:15c863c7089ef8aa3ec9b58e13add9b1c33f03ea4f8636bfae2f2735f89910f3

Observation 752ce3a3-458c-4172-86d6-03b1066dc789 · outbound

This paper cites an unresolved cited work.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Unresolved cited work

Reference 55

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source=pdf_text observed=2026-07-31T08:09:36.689882Z digest=sha256:d269e4c17c03663b255eb55eb510e0e2b39410ab41814b725959aec489ada42f

Observation 4645bd6f-5298-42e0-ad30-ca22a6007c66 · outbound

This paper cites Urban, Shigao Chen, and Mostafa Fatemi.

A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue Urban, Shigao Chen, and Mostafa Fatemi

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source=pdf_text observed=2026-07-31T08:09:36.695903Z digest=sha256:2f351f344a68be057c0250207ef24bb0f1c20af769d02db4bff134b816f4b19a

Pith citing papers

Observation b84de20c-4b62-49d3-9cc5-44e53c7bce1c · inbound

An open-source framework for predicting ultrasound neuromodulation: bridging tissue elastomechanics and neuron firing dynamics cites this paper.

An open-source framework for predicting ultrasound neuromodulation: bridging tissue elastomechanics and neuron firing dynamics A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:33:17.780855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T05:33:17.611412Z digest=sha256:b3757ae266f92250779146843fc1a10b20bb26fa8160eff1bb9f083de759ca25

Observation ce233372-e84f-4944-8e5b-69e8a13f2168 · inbound

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound cites this paper.

An Angular Spectrum Method for Nonlinear Propagation in Heterogeneous Tissue with Immersed Sources for Ultrasound A reduced viscoelastic FDTD formulation for ultrasound-driven shear wave propagation in soft tissue

Reference 10

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unresolved
no resolver link, observed 2026-08-10T05:19:43.572760Z

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source=pdf_text observed=2026-08-10T05:19:43.572760Z digest=sha256:fe350d2061acae1cf156c95e5fe0355cd126cf88ce282705089a18773862da2e