Mathematical Biology Seminar|
RIMS, Kyoto University
Wednesday Jan. 23, 2008
3:05pm in LCB 215
"Pulse dynamics in heterogeneous
One of the fundamental issues in reaction-diffusion systems
is to clarify input-output relation when traveling pulses
encounter heterogeneous media. In the Gray-Scott model,
a variety of types of patterns have been observed in
bump or periodic type heterogeneous media.
We focus on the dynamics of pulses in heterogeneous media
when the associated parameters are close to pitchfork and
In order to elucidate the underlying mechanism
causing variety of dynamics by reducing the
PDE dynamics to finite dimensional equations.
If time allows, I will talk about dynamic behavior of the
frontal tip of the plasmodium of the true slime mold
in heterogeneous media. The plasmodium migrating
in a narrow lane shows penetration, rebound and splitting
dynamics when it encounters the presence of chemical
repellent, quinine. I will discuss how the origin of the
three different outputs could be reduced to the hidden
instabilities of internal dynamics of the tip.