Open AccessModelling of activator-inhibitor dynamics via nonlocal integral operators
Author(s) -
Roumen Anguelov,
Stephanus Marnus Stoltz
Publication year - 2017
Publication title -
texts in biomathematics
Language(s) - English
Resource type - Journals
eISSN - 2603-3046
pISSN - 2603-3038
DOI - 10.11145/texts.2017.12.233
Subject(s) - dynamics (music) , mechanism (biology) , mathematics , physics , biological system , biology , quantum mechanics , acoustics
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.