This chapter provides an introduction on how anisotropic diffusion models can be derived from position-jump and velocity-jump random walks. We show how the availability of measurement data can guide the choice of the appropriate model. We further present two new applications, respectively to cell movement on micro-fabricated surfaces and magnetic compass orientation by sea turtle hatchlings.

From random walks to fully anisotropic diffusion models for cell and animal movement / Painter, K. J.; Hillen, T. (MODELING AND SIMULATION IN SCIENCE, ENGINEERING AND TECHNOLOGY). - In: Modeling and Simulation in Science, Engineering and Technology[s.l] : Springer Basel, 2018. - ISBN 978-3-319-96841-4. - pp. 103-141 [10.1007/978-3-319-96842-1_5]

From random walks to fully anisotropic diffusion models for cell and animal movement

Painter K. J.;
2018

Abstract

This chapter provides an introduction on how anisotropic diffusion models can be derived from position-jump and velocity-jump random walks. We show how the availability of measurement data can guide the choice of the appropriate model. We further present two new applications, respectively to cell movement on micro-fabricated surfaces and magnetic compass orientation by sea turtle hatchlings.
2018
978-3-319-96841-4
978-3-319-96842-1
Modeling and Simulation in Science, Engineering and Technology
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2922674