Modelling of activator-inhibitor dynamics via nonlocal integral operators

Authors

  • Roumen Anguelov Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria
  • Stephanus Marnus Stoltz Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria

DOI:

https://doi.org/10.11145/texts.2017.12.233

Abstract

This paper proposes application of nonlocal operators to represent the biological pattern formation mechanism of self-activation and lateral inhibition. The blue-green algae Anabaena is discussed as a model example. The patterns are determined by the kernels of the integrals representing the nonlocal operators. The emergence of patters when varying the size of the support of the kernels is numerically investigated.

Author Biography

Roumen Anguelov, Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria

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Published

2017-12-28

Issue

Mathematical Methods and Models in Biosciences

Section

Conference Proceedings

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