Cell-Based, Continuum and Hybrid Models of Tissue Dynamics

DOI10.1007/978-3-319-42679-2_1zbMath1353.92023OpenAlexW2554263487MaRDI QIDQ3179725

Hans G. Othmer

Publication date: 20 December 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-42679-2_1

zbMATH Keywords

metastasisintracellular signalsadhesive forcesdirected motionsignal transduction cascadesmechanical signals

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• A stochastic analysis of first-order reaction networks
• Modelling cell movement, cell differentiation, cell sorting and proportion regulation in \textit{Dictyostelium discoideum} aggregations
• Stochastic analysis of reaction-diffusion processes
• A theoretical analysis of filament length fluctuations in actin and other polymers
• A new method for choosing the computational cell in stochastic reaction-diffusion systems
• Handbook of stochastic methods for physics, chemistry and the natural sciences
• A \(G\) protein-based model of adaptation in Dictyostelium discoideum
• A ``trimer of dimers-based model for the chemotactic signal transduction network in bacterial chemotaxis
• Pacemakers in aggregation fields of Dictyostelium discoideum: Does a single cell suffice?
• A theoretical approach to actin filament dynamics

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