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Published in:
The Complex Geometry of the Mandelbrot Set Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Dynamical Systems Approach to Atherosclerosis Modeling

Author : Johan L. A. Dubbeldam

Published in: ISCS 2013: Interdisciplinary Symposium on Complex Systems

Publisher: Springer Berlin Heidelberg

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Abstract

Mathematical modeling of clinical systems is difficult as these usually comprise complex systems with many interacting components. We show how it is still possible to model these systems by making use of a dynamical systems point of view. By calculating bifurcation diagrams, one can discriminate between different models and clinical parameter regimes can be identified. The emphasis in this presentation will be in particular on models of atherosclerosis, but the suggested approach is applicabe to a much wider class of clinical models.

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Literature
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Bulelzai, M.A.K., Dubbeldam, J.L.A.: Long time evolution of atherosclerotic plaques. J. Theor. Biol. 297, 1–10 (2012)CrossRefMathSciNet
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Bulelzai, M.A.K., Dubbeldam, J.L.A., Meyer, H.: Submitted to Physica D. (2013)
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Metadata
Title
Dynamical Systems Approach to Atherosclerosis Modeling
Author
Johan L. A. Dubbeldam
Copyright Year
2014
Publisher
Springer Berlin Heidelberg
Book
ISCS 2013: Interdisciplinary Symposium on Complex Systems

Print ISBN: 978-3-642-45437-0

Electronic ISBN: 978-3-642-45438-7

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-642-45438-7_17

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