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Understanding the rheological properties of soft biological tissue is a key issue for mechanical systems used in the healthcare field. We propose a simple empirical model using Fractional Dynamics and Exponential Nonlinearity (FDEN) to…

Biological Physics · Physics 2025-03-26 Yo Kobayashi , Mariko Tsukune , Tomoyuki Miyashita , Masakatsu G. Fujie

Characterizing the softness of deformable materials having partial elastic and partial viscous behaviour via soft lubrication experiments has emerged as a versatile and robust methodology in recent times. However, a straightforward…

Soft Condensed Matter · Physics 2021-07-22 Pratyaksh Karan , Jeevanjyoti Chakraborty , Suman Chakraborty

Fractional models and their parameters are sensitive to changes in the intrinsic micro-structures of anomalous materials. We investigate how such physics-informed models propagate the evolving anomalous rheology to the nonlinear dynamics of…

Numerical Analysis · Mathematics 2020-09-28 Jorge L. Suzuki , Pegah Varghaei , Ehsan Kharazmi , Mohsen Zayernouri

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

Soft Condensed Matter · Physics 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

It has recently been discovered that the viscoelastic properties of cells are inherent markers reflecting the complex biological states, functions and malfunctions of the cells. Although the extraction of model parameters from the…

Biological Physics · Physics 2022-01-10 Anh Vo , Andrew Ekpenyong

We introduce a data-driven fractional modeling framework aimed at complex materials, and particularly bio-tissues. From multi-step relaxation experiments of distinct anatomical locations of porcine urinary bladder, we identify an anomalous…

Numerical Analysis · Mathematics 2021-10-04 Jorge L. Suzuki , Tyler G. Tuttle , Sara Roccabianca , Mohsen Zayernouri

Understanding the biomechanics of the heart in health and disease plays an important role in the diagnosis and treatment of heart failure. The use of computational biomechanical models for therapy assessment is paving the way for…

The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical response of deformable porous media with incompressible constituents to sudden changes in…

Analysis of PDEs · Mathematics 2017-10-03 Maurizio Verri , Giovanna Guidoboni , Lorena Bociu , Riccardo Sacco

A rising wave of technologies and instruments are enabling more labs and clinics to make a variety of measurements related to tissue viscoelastic properties. These instruments include elastography imaging scanners, rheological shear…

Tissues and Organs · Quantitative Biology 2024-08-30 Kevin J. Parker , Thomas Szabo , Sverre Holm

Effective medical simulators necessitate realistic haptic rendering of biological tissues that exhibit viscoelastic material properties, such as creep and stress relaxation. Fractional-order models provide an effective means of describing…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Harun Tolasa , Gorkem Gemalmaz , Volkan Patoglu

Soft biological tissues demonstrate strong time-dependent and strain-rate mechanical behavior, arising from their intrinsic visco-elasticity and fluid-solid interactions (especially at sufficiently large time scales). The time-dependent…

Tissues and Organs · Quantitative Biology 2023-06-09 Thomas Lavigne , Stéphane Urcun , Pierre-Yves Rohan , Giuseppe Sciumè , Davide Baroli , Stéphane P. A. Bordas

To produce sounds, we adjust the tension of our vocal folds to shape their properties and control the pitch. This efficient mechanism offers inspiration for designing reconfigurable materials and adaptable soft robots. However,…

Soft Condensed Matter · Physics 2025-06-18 Alexandre Delory , Daniel A. Kiefer , Maxime Lanoy , Antonin Eddi , Claire Prada , Fabrice Lemoult

Continuum models of active nematic gels have proved successful to describe a number of biological systems consisting of a population of rodlike motile subunits in a fluid environment. However, in order to get a thorough understanding of the…

Soft Condensed Matter · Physics 2023-05-03 Stefano Turzi

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini

The formation and destabilisation of viscoelastic filaments are of importance in many industrial and biological processes. Filament instabilities have been observed for viscoelastic fluids but recently also for soft elastic solids. In this…

Soft Condensed Matter · Physics 2021-06-17 H. V. M. Kibbelaar , A. Deblais , F. Burla , G. H. Koenderink , K. P. Velikov , D. Bonn

Many biological tissues are viscoelastic, behaving as elastic solids on short timescales and fluids on long timescales. This collective mechanical behavior enables and helps to guide pattern formation and tissue layering. Here we…

Soft Condensed Matter · Physics 2013-07-18 Eva-Maria Schoetz , Marcos Lanio , Jared A. Talbot , M. Lisa Manning

Soft tissues are complex media, they display a wide range of mechanical properties such as anisotropy and non-linear stress-strain behaviour. They undergo large deformations and they exhibit a time-dependent mechanical behaviour, i.e. they…

Soft Condensed Matter · Physics 2021-08-19 Michele Righi , Valentina Balbi

The shear misfit model for the highly viscous flow is based upon a theoretical prediction for its terminal stage in terms of irreversible Eshelby relaxations in the five-dimensional shear space. The model is shown to predict a small…

Disordered Systems and Neural Networks · Physics 2022-08-25 U. Buchenau

Incompressibility, nonlinear deformation under stress and viscoelasticity are the fingerprint of soft tissue mechanical behavior. In order to model soft tissues appropriately, we must pursue to complete these requirements. In this work we…

Other Computer Science · Computer Science 2016-08-16 J. S. Espinoza Ortiz , Gilson A. Giraldi , E. A. de Souza Neto , Raul A. Feijóo

A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on…

Computational Engineering, Finance, and Science · Computer Science 2026-02-20 Sarah Dinkelacker-Steinhoff , Klaus Hackl
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