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Two-Scale Moving Boundary Dynamics of Cancer Invasion: Heterotypic Cell Populations’ Evolution in Heterogeneous ECM Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Bacterial Chemotaxis: A Classic Example of Multiscale Modeling in Biology

Author : Chuan Xue

Published in: Cell Movement

Publisher: Springer International Publishing

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Abstract

Both individual-based models and PDE models have been developed to describe the active movement of cell populations in various contexts. Individual-based models can faithfully replicate the detailed mechanisms of cell signaling and movement but are computationally intensive. PDE models are amenable for fast computation and mathematical analysis but are often based on phenomenological descriptions of macroscopic cell fluxes. Multiscale methods must be developed to elucidate the connections between individual-based models and PDE models in order to combine the strengths of these approaches. This chapter summarizes recent progress in connecting individual-based models and PDE models for chemotaxis of bacterial populations, which is a classic example for multiscale modeling in biology. The application scope and limitations of the Keller-Segel chemotaxis equation are also discussed.

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previous chapter From Random Walks to Fully Anisotropic Diffusion Models for Cell and Animal Movement
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Metadata
Title
Bacterial Chemotaxis: A Classic Example of Multiscale Modeling in Biology
Author
Chuan Xue
Copyright Year
2018
Book
Cell Movement

Print ISBN: 978-3-319-96841-4

Electronic ISBN: 978-3-319-96842-1

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-96842-1_6

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