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Healing of soft biological tissue is the process of self-recovering or self-repairing the injured or damaged extracellular matrix (ECM). Healing is assumed to be stress-driven, with the objective of returning to a homeostatic stress metrics…

医学物理 · 物理学 2019-12-17 Yiqian He , Di Zuo , Klaus Hackl , Haitian Yang , S. Jamaleddin Mousavi , Stéphane Avril

Developing clinically viable tissue-engineered cardiovascular implants remains a formidable challenge. Achieving reliable and durable outcomes requires a deeper understanding of the fundamental mechanisms driving tissue evolution during in…

计算工程、金融与科学 · 计算机科学 2025-07-29 Mahmoud Sesa , Hagen Holthusen , Christian Böhm , Stefan Jockenhövel , Stefanie Reese , Kevin Linka

Autonomic interfacial self-healing in elastomers enables their reprocessing and recycling, making them valuable for applications such as ballistic resistance, surface coatings, adhesives, and biomedical materials. This article prescribes a…

材料科学 · 物理学 2025-03-25 Sanhita Das , Nivedita Kumari

A continuum mixture theory is formulated for large deformations, thermal effects, phase interactions, and degradation of soft biologic tissues. Such tissues consist of one or more solid and fluid phases and can demonstrate nonlinear…

软凝聚态物质 · 物理学 2024-09-10 John D. Clayton

The mechanical behaviour of solid biological tissues has long been described using models based on classical continuum mechanics. However, the classical continuum theories of elasticity and viscoelasticity cannot easily capture the…

生物物理 · 物理学 2017-05-16 Shakti N. Menon , Cameron L. Hall , Scott W. McCue , D. L. Sean McElwain

In the U.S., approximately 17 patients die each day awaiting an organ transplant, a crisis driven by the inability to store organs long-term via methods like cryopreservation. A primary failure mechanism is the severe thermo-mechanical…

软凝聚态物质 · 物理学 2025-11-20 Ali Saeedi , Ram Devireddy , Mrityunjay Kothari

Living soft tissues appear to promote the development and maintenance of a preferred mechanical state within a defined tolerance around a so-called set-point. This phenomenon is often referred to as mechanical homeostasis. In contradiction…

计算工程、金融与科学 · 计算机科学 2021-09-23 Jonas F. Eichinger , Maximilian J. Grill , Iman Davoodi Kermani , Roland C. Aydin , Wolfgang A. Wall , Jay D. Humphrey , Christian J. Cyron

This study presents a mathematical model formulated as a system of first-order non-linear ordinary differential equations, aimed at examining the effects of different factors, classified as local and systemic factors on a wound healing…

其他定量生物学 · 定量生物学 2025-09-16 Alinafe Maenje , Joseph Malinzi

A continuum model of epithelial tissue mechanics was formulated using cellular-level mechanical ingredients and cell morphogenetic processes, including cellular shape changes and cellular rearrangements. This model can include finite…

组织与器官 · 定量生物学 2017-09-06 Shuji Ishihara , Philippe Marcq , Kaoru Sugimura

Embryonic healing in epithelial tissues is distinct from adult wound healing, as it lacks inflammatory responses or immune cell recruitments, making it ideal to test models of wound healing driven primarily by epithelial dynamics. Many…

软凝聚态物质 · 物理学 2026-03-10 Rafael Almada , Nuno Araújo , Pedro Patrício

This study proposes and explores a linear hydrodynamic thermo-elasticity system within mixture models, comprising fluid and solid phases, with a focus on biological tissues, particularly tumor-related phenomena. Although tumor growth is not…

偏微分方程分析 · 数学 2025-02-11 Michael Eden , Meraj Alam , Prakash Kumar , G P Raja Sekhar

A thermo-mechanical fracture modeling is proposed to address thermal failure issues, where the temperature field is calculated by a heat conduction model based on classical continuum mechanics (CCM), while the deformation field with…

计算工程、金融与科学 · 计算机科学 2025-09-03 Sitong Tao , Fei Han

Chronic wounds represent a major public health problem affecting 6.5 million people in the United States. Ischemia represents a serious complicating factor in wound healing. In this paper we analyze a recently developed mathematical model…

偏微分方程分析 · 数学 2010-06-11 Avner Friedman , Bei Hu , Chuan Xue

This study presents a novel physics informed, data-driven modeling framework for capturing the strongly nonlinear thermo-viscoelastic behavior of soft materials exhibiting stress softening, with emphasis on the Mullins effect. Unlike…

软凝聚态物质 · 物理学 2025-07-18 Alireza Ostadrahimi , Amir Teimouri , Kshitiz Upadhyay , Guoqiang Li

We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

数学物理 · 物理学 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

Using formal asymptotic methods we derive a free boundary problem representing one of the simplest mathematical descriptions of the growth and death of a tumour or other biological tissue. The mathematical model takes the form of a closed…

组织与器官 · 定量生物学 2019-07-16 Joe Eyles , John F. King , Vanessa Styles

We develop a unified continuum modeling framework for viscous fluids and hyperelastic solids using the Gibbs free energy as the thermodynamic potential. This framework naturally leads to a pressure primitive variable formulation for the…

计算物理 · 物理学 2020-03-03 Ju Liu , Alison L. Marsden

Modern biology and biomedicine are undergoing a big-data explosion needing advanced computational algorithms to extract mechanistic insights on the physiological state of living cells. We present the motivation for the Cell Physiome: a…

细胞行为 · 定量生物学 2022-03-08 Vijay Rajagopal , Senthil Arumugam , Peter Hunter , Afshin Khadangi , Joshua Chung , Michael Pan

Wound healing is a complex process with many components and interrelated processes on a microscopic level. This paper addresses a macroscopic view on wound healing based on an energy conservation argument coupled with a general scaling of…

医学物理 · 物理学 2012-12-18 S. Peter Apell , Michael Neidrauer , Elisabeth S. Papazoglou , Vincent Pizziconi

Cellular contractility, migration, and extracellular matrix (ECM) mechanics are critical for a wide range of biological processes including embryonic development, wound healing, tissue morphogenesis, and regeneration. Even though the…

生物物理 · 物理学 2023-10-17 Jaemin Kim , Mahmut Selman Sakar , Nikolaos Bouklas
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