A Reaction-Diffusion Model of Cholinergic Retinal Waves
Figure 3
Construction of traveling wave-front.
A. Fast-slow dynamics in the canonical Fitzhugh-Nagumo model of action potential generation. Black curve represents a trajectory of an action potential through phase space, in which a fast transition occurs between the rest (blue dot) and excited state (green dot), followed by slow excited dynamics (green to purple dot), another fast transition between the excited and refractory state (purple to yellow), and slow dynamics while refractory (yellow to black). Red arrows represent flow lines, and the blue curve is the nullcline which defines the slow manifold (
nullcline not drawn for clarity). B. The fast system here is described by three dynamical variables (
,
, and
). Shown here is the trajectory connecting the rest (blue) and excited (green) fixed points, defining the wavefront. C. Temporal voltage dynamics of the wave front.