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The fundamental understanding of how cells physically interact with each other and their environment is key to understanding their organisation in living tissues. Over the past decades several computational methods have been developed to…

Quantitative Methods · Quantitative Biology 2026-01-22 Paul Van Liedekerke , Jiří Pešek , Kevin Alessandri , Dirk Drasdo

We consider a one-dimensional morphoelastic model describing post-burn scar contraction. This model describes the displacement of the dermal layer of the skin and the development of the effective Eulerian strain in the tissue. Besides these…

Numerical Analysis · Mathematics 2022-03-17 Ginger Egberts , Fred Vermolen , Paul van Zuijlen

In order to grasp the features arising from cellular discreteness and individuality, in large parts of cell tissue modelling agent-based models are favoured. The subclass of off-lattice models allows for a physical motivation of the…

Biological Physics · Physics 2007-06-21 Gernot Schaller , Michael Meyer-Hermann

Multiscale models provide a unique tool for studying complex processes that study events occurring at different scales across space and time. In the context of biological systems, such models can simulate mechanisms happening at the…

Quantitative Methods · Quantitative Biology 2024-06-27 Marco Ruscone , Andrea Checcoli , Randy Heiland , Emmanuel Barillot , Paul Macklin , Laurence Calzone , Vincent Noël

The use of oncolytic viruses as cancer treatment has received considerable attention in recent years, however the spatial dynamics of this viral infection is still poorly understood. We present here a stochastic agent-based model describing…

Populations and Evolution · Quantitative Biology 2023-09-06 David Morselli , Marcello Edoardo Delitala , Federico Frascoli

The shapes of epithelial tissues result from a complex interplay of contractile forces in the cytoskeleta of the cells in the tissue, and adhesion forces between them. A host of discrete, cell-based models describe these forces by assigning…

Soft Condensed Matter · Physics 2019-02-27 Pierra A. Haas , Raymond E. Goldstein

This paper proposes a proof of concept application of a biphasic constitutive model to identify the mechanical properties of in vivo human skin under extension. Although poromechanics theory has been extensively used to model other soft…

Spatial agent-based models are increasingly used to investigate the evolution of solid tumours subject to localised cell-cell interactions and microenvironmental heterogeneity. Here we present a non-technical step by step guide to…

Quantitative Methods · Quantitative Biology 2023-11-08 Blair Colyer , Maciej Bak , David Basanta , Robert Noble

Agent-based modeling is a computational dynamic modeling technique that may be less familiar to some readers. Agent-based modeling seeks to understand the behaviour of complex systems by situating agents in an environment and studying the…

Multiagent Systems · Computer Science 2023-04-19 G. Wade McDonald , Nathaniel D. Osgood

The concentration gradient of the Bicoid morphogen, which is established during the early stages of a Drosophila melanogaster embryonic development, determines the differential spatial patterns of gene expression and subsequent cell fate…

Multiagent Systems · Computer Science 2014-12-18 Mariam Kiran , Wei Liu

Maintenance of epidermal thickness is critical to the barrier function of the skin. Decreased tissue thickness, specifically in the stratum corneum (the outermost layer of the tissue), causes discomfort and inflammation, and is related to…

Tissues and Organs · Quantitative Biology 2022-09-13 Claire Miller , Edmund Crampin , James Osborne

Being motivated by the delivery of drugs and vaccines through subcutaneous (SC) injection in human bodies, a theoretical investigation is performed using a two-dimensional mathematical model in the cartesian coordinate. In general, a large…

Fluid Dynamics · Physics 2023-06-08 Abdush Salam Pramanik , Bibaswan Dey , Timir Karmakar , Kalyan Saha

We propose a two-scale model to resolve essential features of developmental tissue deformations. The model couples individual cellular behavior to the mechanics at tissue scale. This is realized by a multiphase-field model addressing the…

Soft Condensed Matter · Physics 2025-06-25 Lea Happel , Axel Voigt

Nowadays, multiscale modelling is recognized as the most suitable way to study biological processes. Indeed, almost every phenomenon in nature exhibits a multiscale behaviour, i.e., it is the outcome of interactions that occur at different…

Formal Languages and Automata Theory · Computer Science 2011-08-18 Federico Buti , Massimo Callisto De Donato , Flavio Corradini , Emanuela Merelli , Luca Tesei

There are numerous scenarios in which populations of cells migrate in crowded environments. Typical examples include wound healing, cancer growth and embryo development. In these crowded environments cells are able to interact with each…

Cell Behavior · Quantitative Biology 2019-07-03 Christian A. Yates , George Chappelle

We analyze the dynamics of agent--based models (ABMs) from a Markovian perspective and derive explicit statements about the possibility of linking a microscopic agent model to the dynamical processes of macroscopic observables that are…

Adaptation and Self-Organizing Systems · Physics 2012-07-11 Sven Banisch , Ricardo Lima , Tanya Araújo

Cell-cell adhesion is one the most fundamental mechanisms regulating collective cell migration during tissue development, homeostasis and repair, allowing cell populations to self-organize and eventually form and maintain complex tissue…

Cell Behavior · Quantitative Biology 2022-11-16 Carles Falcó , Ruth E. Baker , José A. Carrillo

Modelling and computational methods have been essential in advancing quantitative science, especially in the past two decades with the availability of vast amount of complex, voluminous, and heterogeneous data. In particular, there has been…

Multiagent Systems · Computer Science 2020-07-09 Affan Shoukat , Seyed M. Moghadas

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…

Tissues and Organs · Quantitative Biology 2017-09-06 Shuji Ishihara , Philippe Marcq , Kaoru Sugimura

We introduce a particle-based model of self-replicating cells on a deformable substrate composed of the dermis and the basement membrane and investigate the relationship between dermal deformations and stem cell pattering on it. We show…

Tissues and Organs · Quantitative Biology 2018-08-22 Yasuaki Kobayashi , Yusuke Yasugahira , Hiroyuki Kitahata , Mika Watanabe , Ken Natsuga , Masaharu Nagayama
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