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Paper Citation Record · LEDGER

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

As of 23 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

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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 2026-08-23T06:30:58.430688+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

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

Reference resolution

56 of 56 outbound references displayed

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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

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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

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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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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=sha256:190f0aa8e1d023dc8a10488d18006021fca36147d1a000c6543c612b990db1fc

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=sha256:6ca8c382c029afafdad89037136f77b5114459f14ff76fdc0489eab3fa81d86c

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=sha256:56596d70884c0381c1aa2726563b5f5195579c7fd4ccff3f175d41c2dd41c867

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:e8c7d21e917545624217eb1508564fb179ca238d7e83dabf66b9db0d6c04b8ea

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:cf6cf23673b04d82bdd9628e8b61c353b6164f65087a880772be77eb2fc32d7a

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=sha256:657842393a88f10bbb022a4183e7676574b67963a025314376d3ddb907f20130

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=sha256:430ad8469e71a28dfbe9e86abeb6d41bb12dbbabcd1eff4afadfbf2ab4395496

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

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source=pdf_text observed=2026-07-31T08:09:36.629246Z digest=sha256:9d261d98491c055f4e0b18fe92813d72666535881cec68f083b7e82acb7bbf80

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

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source=pdf_text observed=2026-07-31T08:09:36.634318Z digest=sha256:378283f35213a5a1ed61b6a77f9e1204a7864d067c04ca13419b6ce6e7a70680

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

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source=pdf_text observed=2026-07-31T08:09:36.641701Z digest=sha256:75a7a1d9648f6670f1d9f6bf9819389fb263226601866b557fa7c2f170e0f9ca

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

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source=pdf_text observed=2026-07-31T08:09:36.650312Z digest=sha256:8b290aa2f33dd75b897ae409ecf05862698c882e4bade02db18ada014486b9d8

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:fab5e56e0ab5dbf907a7788e176ceb3bb8b9737e5b18bb055343fad8c156ded2

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=sha256:7be4b8d0883f7a4df0ad5a417fa7ee6e23cd8f7eeae4ca1b5c28820b5f1ff65b

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

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source=pdf_text observed=2026-07-31T08:09:36.675091Z digest=sha256:bc74a0b7a2a5d8a1c828e5e8f8533f736cb5b8a939351c0c1e84f625ecccc2b7

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

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source=pdf_text observed=2026-07-31T08:09:36.683557Z digest=sha256:3b5b9fce70a44d44a690069dc12c21a66d7dd2d96de854fa71b969150119f0bd

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

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source=pdf_text observed=2026-07-31T08:09:36.689882Z digest=sha256:c5090a42c4c0c835e212d56cabfae187dfde1ee42b115e1ac406780ace833fa7

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=sha256:8069d7feadb263d8c9ec644b6a183014d52b2351b7e7e99887720061a919ee67

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

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

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

source=pdf_text observed=2026-08-07T05:33:17.611412Z digest=sha256:378851807ff8d80ea18a85d6bc8c754f663459c762d5165b6656aa6a2c695bdc

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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source=pdf_text observed=2026-08-10T05:19:43.572760Z digest=sha256:c6a0ba47deacee53fc9e2eef5a37e080af28aea833f8c96178cb704622f3e921