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Mathematical Analysis for Pattern Formation Problems

Chapter
Part of the Mathematics for Industry book series (MFI, volume 5)

Abstract

We explain our theoretical treatment of various kinds of patterns appearing in nature in this paper. We introduce one of our typical approaches to focus on the pattern boundaries and to derive a curvature flow equation for the motion of these boundaries. This approach is based on the idea that patterns are defined by their boundaries.

Keywords

Interface Curvature flow Reaction-diffusion model 

References

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    J.D. Murray, Mathematical Biology, Biomathematics, vol. 19. (Springer, Berlin, 1989)Google Scholar
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    A.R. Winfree, When Time Breaks Down. (Princeton University Press, Princeton, 1986)Google Scholar

Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Institute of Math-for-IndustryKyushu UniversityFukuokaJapan

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