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Mathematical models are widely recognized as a valuable tool for cardiovascular diagnosis and the study of circulatory diseases, especially to obtain data that require otherwise invasive measurements. To correctly simulate body…

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 mechanical properties of arterial walls are critical for maintaining vascular function under pulsatile pressure and are closely linked to the development of cardiovascular diseases. Despite advances in imaging and elastography,…

Biological Physics · Physics 2025-07-29 Yuxuan Jiang , Guo-Yang Li , Ruizhi Wang , Xu Feng , Yanhang Zhang , Seok-Hyun Yun

This work deals with the viscoelasticity of the arterial wall and its influence on the pulse waves. We describe the viscoelasticity by a non-linear Kelvin-Voigt model in which the coefficients are fitted using experimental time series of…

Biological Physics · Physics 2016-07-28 Arthur Ghigo , Xiao-Fei Wang , Ricardo Armentano , Pierre-Yves Lagrée , Jose-Maria Fullana

This work aims at identifying and quantifying uncertainties related to elastic and viscoelastic parameters, which characterize the arterial wall behavior, in one-dimensional modeling of the human arterial hemodynamics. The chosen uncertain…

Fluid Dynamics · Physics 2021-02-12 Giulia Bertaglia , Valerio Caleffi , Lorenzo Pareschi , Alessandro Valiani

The role of mechanics is known to be of primary order in many arterial diseases; however, determining mechanical properties of arteries remains a challenge. This paper discusses the identifiability of the passive mechanical properties of a…

Medical Physics · Physics 2012-04-09 Pierre Badel , Stéphane Avril , Susan Lessner , Michael A. Sutton

Motivated by the recent experimental and analytical developments enabling high-fidelity material characterization of (heterogeneous) sheet-like solid specimens, we seek to elucidate the constitutive behavior of linear viscoelastic solids…

Soft Condensed Matter · Physics 2025-03-26 Bojan B. Guzina , Marc Bonnet

Understanding stress-strain relationships in arteries is important for fundamental investigations in mechanobiology. Here we demonstrate the essential role of chemoelasticity in determining the mechanical properties of arterial tissues.…

Mathematical models and numerical simulations are widely used in the field of hemodynamics, representing a valuable resource to better understand physiological and pathological processes. The theory behind the phenomenon is closely related…

Fluid Dynamics · Physics 2021-06-15 Giulia Bertaglia , Valerio Caleffi , Alessandro Valiani

Mathematical models and numerical simulations offer a non-invasive way to explore cardiovascular phenomena, providing access to quantities that cannot be measured directly. In this study, we start with a one-dimensional multiscale blood…

Machine Learning · Computer Science 2026-04-09 Giulia Bertaglia , Raffaella Fiamma Cabini

In this paper we present a theoretical and experimental study aimed at characterizing the hysteretic properties of viscoelastic materials. In the last decades viscoelastic materials have become a reference for new technological…

Instrumentation and Detectors · Physics 2021-10-27 Elena Pierro , Giuseppe Carbone

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

We propose and analyse the properties of a new class of models for the electromechanics of cardiac tissue. The set of governing equations consists of nonlinear elasticity using a viscoelastic and orthotropic exponential constitutive law…

Numerical Analysis · Mathematics 2022-04-08 Adrienne Propp , Alessio Gizzi , Francesc Levrero-Florencio , Ricardo Ruiz-Baier

Active arterial mechanics, governed by vascular smooth muscle contraction, are critical to physiological regulation, cardiovascular disease progression, and clinical diagnosis. Although various in vivo methods have been developed to assess…

Medical Physics · Physics 2026-01-21 Yuxuan Jiang , Yanping Cao

State of the art research and treatment of biological tissues require accurate and efficient methods for describing their mechanical properties. Indeed, micromechanics motivated approaches provide a systematic method for elevating relevant…

Soft Condensed Matter · Physics 2012-05-04 Gal deBotton , Tal Oren

Mechanical models of brain tissue are a beneficial tool to simulate neurosurgical interventions, disease progression, or brain development. However, the accuracy and predictive capacity of such a model relies on a precise experimental…

Medical Physics · Physics 2026-05-29 Laura Ruhland , Nina Reiter , Silvia Budday , Kai Willner

The clinical application of patient-specific modelling of the heart can provide valuable insights in supplementing and advancing methods of diagnosis as well as helping to devise the best possible therapeutic approach for each individual…

Medical Physics · Physics 2023-08-03 Sebastian Skatulla , Carlo Sansour , Mary Familusi , Jagir Hussan , Ntobeko Ntusi

We present a microscopic model of a disordered viscoelastic active solid, i.e. an active material whose long time behaviour is elastic as opposed to viscous. It is composed of filaments, passive crosslinks and molecular motors powered by…

Soft Condensed Matter · Physics 2014-07-15 Rhoda J. Hawkins , Tanniemola B. Liverpool

Arterial biomechanical indicators have long been recognized as fundamental contributors to the physiology and pathology of cardiovascular systems. Probing the multiple biomechanical parameters of arteries simultaneously at different time…

Visceral adipose tissue (VAT) is a key marker of both metabolic health and habitual physical activity (PA). Excess VAT is highly correlated with type 2 diabetes and insulin resistance. The mechanistic basis for this pathophysiology relates…

Signal Processing · Electrical Eng. & Systems 2025-10-02 James R. Williamson , Andrew Alini , Brian A. Telfer , Adam W. Potter , Karl E. Friedl
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