12–17 Jul 2026
University of Graz
Europe/Vienna timezone

Turing instability in reaction networks with one diffusing species

MS112-06
17 Jul 2026, 11:00
20m
11.03 - HS (University of Graz)

11.03 - HS

University of Graz

130
Minisymposium Talk Systems Biology and Biochemical Networks Reaction networks: Mathematical structures and concrete biochemical systems

Speaker

Maya Mincheva (Northern Illinois University)

Description

Conditions for Turing instability in reaction networks involving two interacting species are well understood and typically require self-activation or autocatalysis. However, general criteria for the emergence of Turing instabilities in large-scale reaction networks are less studied. We consider a reaction network with an arbitrary number of species, in which only a single species diffuses. We establish a novel condition for Turing instability, which arises when a spatially homogeneous equilibrium loses stability via a pair of complex conjugate eigenvalues.

Author

Maya Mincheva (Northern Illinois University)

Co-authors

Carsten Conradi Hannes Uecker

Presentation materials

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