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Simulating tissue mechanics with agent-based models: concepts, perspectives and some novel results

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TLDR
An overview of agent-based models that are used to simulate mechanical and physiological phenomena in cells and tissues is presented, and the underlying concepts, limitations, and future perspectives of these models are discussed.
Abstract
In this paper we present an overview of agent-based models that are used to simulate mechanical and physiological phenomena in cells and tissues, and we discuss underlying concepts, limitations, and future perspectives of these models. As the interest in cell and tissue mechanics increase, agent-based models are becoming more common the modeling community. We overview the physical aspects, complexity, shortcomings, and capabilities of the major agent-based model categories: lattice-based models (cellular automata, lattice gas cellular automata, cellular Potts models), off-lattice models (center-based models, deformable cell models, vertex models), and hybrid discrete-continuum models. In this way, we hope to assist future researchers in choosing a model for the phenomenon they want to model and understand. The article also contains some novel results.

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A Review of Cell-Based Computational Modeling in Cancer Biology.

TL;DR: This review introduces the broad range of techniques available for cell-based computational modeling and illustrates these methods with examples drawn from cancer hypoxia, angiogenesis, invasion, stem cells, and immunosurveillance.
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Physical models of collective cell motility: from cell to tissue.

TL;DR: A range of techniques are discussed, ranging from models that represent cells as simple self-propelled particles to phase field models that can represent a cell's shape and dynamics in great detail, which extensively review the ways in which cells within a tissue choose their direction.
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Correction for The role of fluctuations and stress on the effective viscosity of cell aggregates

TL;DR: This work develops a mechanical model of aggregates based on their cellular structure and discusses the deviations from liquid behavior, the possible overestimation of surface tension in parallel-plate compression measurements, and the role of measurement duration.
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Mechanics of the Cell

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Material approaches to active tissue mechanics

TL;DR: In this paper, the authors discuss epithelial tissues as active materials with particular rheological properties and active behaviours at different length scales and highlight 2D and 3D materials for the study of epithelial dynamics and summarize key methods for probing epithelial mechanics.
References
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TL;DR: Naive mesenchymal stem cells are shown here to specify lineage and commit to phenotypes with extreme sensitivity to tissue-level elasticity, consistent with the elasticity-insensitive commitment of differentiated cell types.
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Exact Stochastic Simulation of Coupled Chemical Reactions

TL;DR: In this article, a simulation algorithm for the stochastic formulation of chemical kinetics is proposed, which uses a rigorously derived Monte Carlo procedure to numerically simulate the time evolution of a given chemical system.
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Dynamic Scaling of Growing Interfaces

TL;DR: A model is proposed for the evolution of the profile of a growing interface that exhibits nontrivial relaxation patterns, and the exact dynamic scaling form obtained for a one-dimensional interface is in excellent agreement with previous numerical simulations.
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The systems biology markup language (SBML): a medium for representation and exchange of biochemical network models.

TL;DR: This work summarizes the Systems Biology Markup Language (SBML) Level 1, a free, open, XML-based format for representing biochemical reaction networks, a software-independent language for describing models common to research in many areas of computational biology.
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Cell locomotion and focal adhesions are regulated by substrate flexibility

TL;DR: The ability of cells to survey the mechanical properties of their surrounding environment is demonstrated and the possible involvement of both protein tyrosine phosphorylation and myosin-generated cortical forces in this process is suggested.
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