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The multiplicative decomposition model is widely employed for predicting residual stresses and morphologies of biological tissues due to growth. However, it relies on the assumption that the tissue is initially in a stress-free state, which…

Soft Condensed Matter · Physics 2020-09-04 Yangkun Du , Chaofeng Lü , Weiqiu Chen , Michel Destrade

Biological growth is often driven by mechanical cues, such as changes in external pressure or tensile loading. Moreover, it is well known that many living tissues actively maintain a preferred level of mechanical internal stress, called the…

Biological Physics · Physics 2018-04-24 Alexander Erlich , Derek E. Moulton , Alain Goriely

We describe a novel coarse-grained simulation method for modelling the dynamics of globular macromolecules, such as proteins. The macromolecule is treated as a continuum that is subject to thermal fluctuations. The model includes a…

Computational Physics · Physics 2015-06-11 Robin Oliver , Daniel J. Read , Oliver G. Harlen , Sarah A. Harris

The applicability of computational and dynamical systems models to organisms is scrutinized, using examples from developmental biology and cognition. Developmental morphogenesis is dependent on the inherent material properties of developing…

Neurons and Cognition · Quantitative Biology 2023-10-24 Stuart A. Newman

Growth (and resorption) of biological tissue is formulated in the continuum setting. The treatment is macroscopic, rather than cellular or sub-cellular. Certain assumptions that are central to classical continuum mechanics are revisited,…

Quantitative Methods · Quantitative Biology 2015-06-26 K. Garikipati , E. M. Arruda , K. Grosh , H. Narayanan , S. Calve

Biological pattern formation is one of the most intriguing phenomena in nature. Simplest examples of such patterns are represented by travelling waves and stationary periodic patterns which occur during various biological processes…

Analysis of PDEs · Mathematics 2024-06-12 Valentina Bucur , Bakhtier Vasiev

Several authors have employed Finite Element Analysis (FEA) for stress and strain analysis in orthopaedic biomechanics. Unfortunately, the use of three-dimensional models is time consuming and consequently the number of analysis to be…

Medical Physics · Physics 2016-08-16 Béatrice Couteau , Yohan Payan , Stéphane Lavallee

How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links…

Analysis of PDEs · Mathematics 2023-11-21 Arezki Boudaoud , Annamaria Kiss , Mariya Ptashnyk

Emergence of new protein structures has proved difficult to trace in nature and engineer in the laboratory. However, one aspect of structure evolution has proved immensely helpful for determining the three-dimensional structure of proteins…

Populations and Evolution · Quantitative Biology 2017-05-24 Amy I. Gilson , Ahmee Marshall-Christensen , Jeong-Mo Choi , Eugene I. Shakhnovich

Active networks made of biopolymers and motor proteins are valuable bioinspired systems that have been used in the last decades to study the cytoskeleton and its self-organization under mechanical stimulation. Different techniques are…

Soft Condensed Matter · Physics 2023-05-15 Vahid Nasirimarekani , Olinka Ramìrez-Soto , Stefan Karpitschka , Isabella Guido

Epithelia form protective barriers in multicellular organisms. To maintain homeostasis, they must be able to regenerate and heal damaged areas. This occurs through collective cell migration, during which finger-like protrusions commonly…

The Extra-Cellular-Matrix (ECM) is a complex interconnected 3D network that provides structural support for the cells and tissues and defines organ architecture key for their healthy functioning. However, the intimate mechanisms by which…

Cell type (e.g. pluripotent cell, fibroblast) is the end result of many complex processes that unfold due to evolutionary, developmental, and transformational stimuli. A cell's phenotype and the discrete, a priori states that define various…

Quantitative Methods · Quantitative Biology 2013-02-05 Bradly Alicea

Bone tissue mechanical properties and trabecular microarchitecture are the main factors that determine the biomechanical properties of cancellous bone. Artificial cancellous microstructures, typically described by a reduced number of…

Medical Physics · Physics 2017-07-07 Lucas Colabella , Adrián Cisilino , Guillaume Haiat , Piotr Kowalczyk

During morphogenesis, the shape of a tissue emerges from collective cellular behaviors, which are in part regulated by mechanical and biochemical interactions between cells. Quantification of force and stress is therefore necessary to…

Tissues and Organs · Quantitative Biology 2014-02-19 K. Sugimura , Y. Bellaïche , F. Graner , P. Marcq , S. Ishihara

Cellular aggregates play a significant role in the evolution of biological systems such as tumor growth, tissue spreading, wound healing, and biofilm formation. Analysis of such biological systems, in principle, includes examining the…

Numerical Analysis · Mathematics 2022-08-17 Soheil Firooz , Stefan Kaessmair , Vasily Zaburdaev , Ali Javili , Paul Steinmann

To insight the relationships between the self-organizing structures of cells, such as the cell clusters, and the properties of biotissues is helpful in revealing the function and designing biomaterial. Traditional random foam model neglects…

Soft Condensed Matter · Physics 2017-06-07 Xiaohua Zhou , Erhu Zhang , Minggang Xia , Jianlin Liu , Shengli Zhang

Evolution depends on the fitness of organisms, the expected rate of reproducing. Directly getting offspring is the most basic form of fitness, but fitness can also be increased indirectly by helping genetically related individuals (such as…

Populations and Evolution · Quantitative Biology 2015-12-17 J. H. van Hateren

Most of the calcium in the body is stored in bone. The rest is stored elsewhere, and calcium signalling is one of the most important mechanisms of information propagation in the body. Yet, many questions remain open. In this work, we…

Dynamical Systems · Mathematics 2017-03-03 Katerina Kaouri , Philip K. Maini , S. Jonathan Chapman

Collagen is a key structural protein in the human body, which undergoes mineralization during the formation of hard tissues. Earlier studies have described the mechanical behavior of bone at different scales highlighting material features…

Applied Physics · Physics 2021-07-02 Mario Milazzo , Gang Seob Jung , Serena Danti , Markus J. Buehler