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Paper Citation Record · LEDGER

An interaction potential method for passive and active dynamics of hyperelastic materials

As of 23 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.19227.

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

pith.paper-citation-record.v1
2607.19227 v1

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measured 30 of 30 reference resolution

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measured 30 of 30 standing notices

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30 of 30 outbound references displayed

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Outbound references

Observation 9a533b6d-c765-4cdf-ac9b-b43e8271b90d · outbound

This paper cites lifex-fiber: an open tool for myofibers generation in cardiac computational models.BMC Bioinformatics, 24(1):143, 2023.

An interaction potential method for passive and active dynamics of hyperelastic materials lifex-fiber: an open tool for myofibers generation in cardiac computational models.BMC Bioinformatics, 24(1):143, 2023

Reference 1

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This paper cites Active stress vs.

An interaction potential method for passive and active dynamics of hyperelastic materials Active stress vs

Reference 2

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Observation d9eb82cc-cab4-403b-9e87-81975b2b4dff · outbound

This paper cites Electromechanical coupling in cardiac dynamics: the active strain approach.SIAM Journal on Applied Mathematics, 71(2):605–621, 2011.

An interaction potential method for passive and active dynamics of hyperelastic materials Electromechanical coupling in cardiac dynamics: the active strain approach.SIAM Journal on Applied Mathematics, 71(2):605–621, 2011

Reference 3

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Observation 6c715ce5-1d80-410b-96c4-0fa8122d6d74 · outbound

This paper cites John Wiley & Sons, 2014.

An interaction potential method for passive and active dynamics of hyperelastic materials John Wiley & Sons, 2014

Reference 4

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Observation f051ad68-c9e2-4b23-a5f9-99141cdea8a1 · outbound

This paper cites Cardiac excitation–contraction coupling.Nature, 415(6868):198–205, 2002.

An interaction potential method for passive and active dynamics of hyperelastic materials Cardiac excitation–contraction coupling.Nature, 415(6868):198–205, 2002

Reference 5

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Observation f4471e8e-62d9-4881-ad7e-6c6d7bfadaef · outbound

This paper cites Cambridge University Press, 1997.

An interaction potential method for passive and active dynamics of hyperelastic materials Cambridge University Press, 1997

Reference 6

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This paper cites A fast computational model for the electrophysiology of the whole human heart.Journal of Computational Physics, 457:111084, 2022.

An interaction potential method for passive and active dynamics of hyperelastic materials A fast computational model for the electrophysiology of the whole human heart.Journal of Computational Physics, 457:111084, 2022

Reference 7

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Observation 785e596e-3e7a-449b-bf66-25d795151d37 · outbound

This paper cites Systematic coarse-graining of spectrin-level red blood cell models.Computer Methods in Applied Mechanics and Engineering, 199(29-32):1937–1948, 2010.

An interaction potential method for passive and active dynamics of hyperelastic materials Systematic coarse-graining of spectrin-level red blood cell models.Computer Methods in Applied Mechanics and Engineering, 199(29-32):1937–1948, 2010

Reference 8

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This paper cites Locking-proof tetrahedra.ACM Trans- actions on Graphics, 40(2):1–17, 2021.

An interaction potential method for passive and active dynamics of hyperelastic materials Locking-proof tetrahedra.ACM Trans- actions on Graphics, 40(2):1–17, 2021

Reference 9

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This paper cites Springer Science & Business Media, 2013.

An interaction potential method for passive and active dynamics of hyperelastic materials Springer Science & Business Media, 2013

Reference 10

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Observation 87e1c231-70b6-4d85-aeeb-4b313eae1513 · outbound

This paper cites A new computa- tional framework for electro-activation in cardiac mechanics.Computer Methods in Applied Mechanics and Engineering, 348:796–845, 2019.

An interaction potential method for passive and active dynamics of hyperelastic materials A new computa- tional framework for electro-activation in cardiac mechanics.Computer Methods in Applied Mechanics and Engineering, 348:796–845, 2019

Reference 11

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Observation e207a1d7-851c-402a-ab74-c92ca5b87711 · outbound

This paper cites Approximate simulation of elastic membranes by triangulated spring meshes.Journal of Graphics Tools, 3(2):21–41, 1998.

An interaction potential method for passive and active dynamics of hyperelastic materials Approximate simulation of elastic membranes by triangulated spring meshes.Journal of Graphics Tools, 3(2):21–41, 1998

Reference 12

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This paper cites The generalized Hill model: a kinematic approach towards active muscle contraction.Journal of the Mechanics and Physics of Solids, 72:20–39, 2014.

An interaction potential method for passive and active dynamics of hyperelastic materials The generalized Hill model: a kinematic approach towards active muscle contraction.Journal of the Mechanics and Physics of Solids, 72:20–39, 2014

Reference 13

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Observation c39ba8f4-bca2-4cbc-a446-c3e06960f6f2 · outbound

This paper cites Finite element stress analysis of left ventricular mechanics in the beating dog heart.Journal of Biomechanics, 28(10):1167–1177, 1995.

An interaction potential method for passive and active dynamics of hyperelastic materials Finite element stress analysis of left ventricular mechanics in the beating dog heart.Journal of Biomechanics, 28(10):1167–1177, 1995

Reference 14

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This paper cites Mass-spring model for simulation of heart valve tissue mechanical behavior.Annals of Biomedical Engineering, 39(6):1668–1679, 2011.

An interaction potential method for passive and active dynamics of hyperelastic materials Mass-spring model for simulation of heart valve tissue mechanical behavior.Annals of Biomedical Engineering, 39(6):1668–1679, 2011

Reference 15

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An interaction potential method for passive and active dynamics of hyperelastic materials Unresolved cited work

Reference 16

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This paper cites V olume conserving finite element simulations of de- formable models.ACM Transactions on Graphics, 26(3):13–es, 2007.

An interaction potential method for passive and active dynamics of hyperelastic materials V olume conserving finite element simulations of de- formable models.ACM Transactions on Graphics, 26(3):13–es, 2007

Reference 17

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This paper cites Computational modelling and analysis of the coupled aero- structural dynamics in bat-inspired wings.Journal of Fluid Mechanics, 1010:A53, 2025.

An interaction potential method for passive and active dynamics of hyperelastic materials Computational modelling and analysis of the coupled aero- structural dynamics in bat-inspired wings.Journal of Fluid Mechanics, 1010:A53, 2025

Reference 18

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An interaction potential method for passive and active dynamics of hyperelastic materials Unresolved cited work

Reference 19

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Observation 3f50e68d-a383-4632-852a-62a7eb3fda43 · outbound

This paper cites A constraint-based formulation of stable Neo-Hookean materials.

An interaction potential method for passive and active dynamics of hyperelastic materials A constraint-based formulation of stable Neo-Hookean materials

Reference 20

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This paper cites XPBD: position-based simulation of compliant constrained dynamics.

An interaction potential method for passive and active dynamics of hyperelastic materials XPBD: position-based simulation of compliant constrained dynamics

Reference 21

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This paper cites Spring-network-based model of a red blood cell for simulating mesoscopic blood flow.International Journal for Numerical Methods in Biomedical Engineering, 29(1):114–128, 2013.

An interaction potential method for passive and active dynamics of hyperelastic materials Spring-network-based model of a red blood cell for simulating mesoscopic blood flow.International Journal for Numerical Methods in Biomedical Engineering, 29(1):114–128, 2013

Reference 22

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Observation e3544ffc-4ebb-4fe0-a354-1dceeeb23f2d · outbound

This paper cites Mathematical model of geometry and fibrous structure of the heart.American Journal of Physiology-Heart and Circulatory Physiology, 260(4):H1365–H1378, 1991.

An interaction potential method for passive and active dynamics of hyperelastic materials Mathematical model of geometry and fibrous structure of the heart.American Journal of Physiology-Heart and Circulatory Physiology, 260(4):H1365–H1378, 1991

Reference 23

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This paper cites An orthotropic active–strain model for the myocardium mechanics and its numerical approximation.European Journal of Mechanics - A/Solids, 48:83–96, 2014.

An interaction potential method for passive and active dynamics of hyperelastic materials An orthotropic active–strain model for the myocardium mechanics and its numerical approximation.European Journal of Mechanics - A/Solids, 48:83–96, 2014

Reference 24

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This paper cites An orthotropic electro- viscoelastic model for the heart with stress-assisted diffusion.Biomechanics and Modeling in Mechanobiology, 19(2):633–659, 2020.

An interaction potential method for passive and active dynamics of hyperelastic materials An orthotropic electro- viscoelastic model for the heart with stress-assisted diffusion.Biomechanics and Modeling in Mechanobiology, 19(2):633–659, 2020

Reference 25

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This paper cites Implicit finite incompressible elastodynamics with linear finite elements: A stabilized method in rate form.Computer Methods in Applied Mechanics and Engineering, 311:208–249, 2016.

An interaction potential method for passive and active dynamics of hyperelastic materials Implicit finite incompressible elastodynamics with linear finite elements: A stabilized method in rate form.Computer Methods in Applied Mechanics and Engineering, 311:208–249, 2016

Reference 26

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An interaction potential method for passive and active dynamics of hyperelastic materials Unresolved cited work

Reference 27

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This paper cites Springer Science & Business Media, 2012.

An interaction potential method for passive and active dynamics of hyperelastic materials Springer Science & Business Media, 2012

Reference 28

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This paper cites GPU-accelerated digital twins of the human heart open new routes for cardiovascular research.Scientific Reports, 13(1):8230, 2023.

An interaction potential method for passive and active dynamics of hyperelastic materials GPU-accelerated digital twins of the human heart open new routes for cardiovascular research.Scientific Reports, 13(1):8230, 2023

Reference 29

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This paper cites High-fidelity model of the human heart: an immersed boundary implementation.Physical Review Fluids, 8(10):100502, 2023.

An interaction potential method for passive and active dynamics of hyperelastic materials High-fidelity model of the human heart: an immersed boundary implementation.Physical Review Fluids, 8(10):100502, 2023

Reference 30

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