The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

The mechanical behavior of skin: Structures and models for the finite element analysis

JM Benítez, FJ Montáns - Computers & Structures, 2017 - Elsevier
Soft biological tissues are complex materials with a large structural variety, with differences
in behavior, but with some common characteristics. Skin is an archetypal soft tissue which …

[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications

A Quarteroni, A Manzoni, C Vergara - 2019 - books.google.com
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

The importance of the pericardium for cardiac biomechanics: from physiology to computational modeling

MR Pfaller, JM Hörmann, M Weigl, A Nagler… - … and modeling in …, 2019 - Springer
The human heart is enclosed in the pericardial cavity. The pericardium consists of a layered
thin sac and is separated from the myocardium by a thin film of fluid. It provides a fixture in …

A rule‐based method to model myocardial fiber orientation in cardiac biventricular geometries with outflow tracts

R Doste, D Soto‐Iglesias, G Bernardino… - … journal for numerical …, 2019 - Wiley Online Library
Rule‐based methods are often used for assigning fiber orientation to cardiac anatomical
models. However, existing methods have been developed using data mostly from the left …

Data-driven hyperelasticity, Part II: A canonical framework for anisotropic soft biological tissues

OZ Tikenoğulları, AK Açan, E Kuhl, H Dal - … of the Mechanics and Physics of …, 2023 - Elsevier
In this work, we present a novel anisotropic data-driven hyperelasticity framework for the
constitutive modeling of soft biological tissues that allows direct incorporation of …

[HTML][HTML] Robust and efficient fixed-point algorithm for the inverse elastostatic problem to identify myocardial passive material parameters and the unloaded reference …

L Marx, JA Niestrawska, MAF Gsell, F Caforio… - Journal of computational …, 2022 - Elsevier
Image-based computational models of the heart represent a powerful tool to shed new light
on the mechanisms underlying physiological and pathological conditions in cardiac function …

Comparative analysis of nonlinear viscoelastic models across common biomechanical experiments

W Zhang, A Capilnasiu, D Nordsletten - Journal of Elasticity, 2021 - Springer
Biomechanical modeling has a wide range of applications in the medical field, including in
diagnosis, treatment planning and tissue engineering. The key to these predictive models …

An efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterials

W Zhang, A Capilnasiu, G Sommer… - Computer methods in …, 2020 - Elsevier
Computational biomechanics plays an important role in biomedical engineering: using
modeling to understand pathophysiology, treatment and device design. While experimental …

[HTML][HTML] A viscoelastic model for human myocardium

D Nordsletten, A Capilnasiu, W Zhang, A Wittgenstein… - Acta Biomaterialia, 2021 - Elsevier
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 …