Curvature dependence of propagating velocity for a simplied calcium model
- Speaker(s)
- Je-Chiang Tsai
- Affiliation
- Chung Cheng University, Taiwan
- Date
- Oct. 22, 2014, 2:15 p.m.
- Room
- room 4050
- Seminar
- Seminar of Biomathematics and Game Theory Group
It is known that the relation between curvature and wave speed plays a
key role in the propagation of two-dimensional waves in an excitable
model. For typical excitable models (e.g., the FitzHugh-Nagumo (FHN)
model), such a relation is believed to obey the linear eikonal equation,
which states that the relation between the normal velocity and the
local curvature is approximately linear. In this talk, we show that for a
caricature model of intracellular calcium dynamics, although its
temporal dynamics can be investigated by analogy with the FHN model, the
curvature relation does not obey the linear eikonal equation even in
the limiting case. Hence this caricature calcium model may be an
unexpected excitable system, whose wave propagation properties cannot be
always understood by analogy with the FHN model.