2 papers
q-bio.QM2019
Signaling gradients in surface dynamics as basis for planarian regeneration
Arnd Scheel, Angela Stevens, Christoph Tenbrock
We introduce and analyze a mathematical model for the regeneration of planarian flatworms. This system of differential equations incorporates dynamics of head and tail cells which…
nlin.PS2016
Wavenumber selection in coupled transport equations
Arnd Scheel, Angela Stevens
We study mechanisms for wavenumber selection in a minimal model for run-and-tumble dynamics. We show that nonlinearity in tumbling rates induces the existence of a plethora of trav…