Peskin model (1975)

Natural model for the heart pacemaker cells

the phase of each oscillator evolves with the same frequency. When this phase arrives to a threshold value f_i=2p, the phase is reset to zero and the phase of the neighboring sites is modified:

f_i ==>  0
f_j ==>  f_j + f(f_j)

Pulse-coupled, only when the oscillator arrives to a value 2p, interacts with the rest of the population. The function f is called phase response curve (PRC). If the coupling is positive (excitatory) the population tends to synchronize, i.e., to arrive to the threshold at the same time. Whereas, if the coupling is negative (inhibitory) it will tend to keep a phase difference as large as possible between connected units.

dosexes.zip: set of executable programs from DOS or Windows (sorry!, in Catalan, but can be easily understood):

• espais.exe: different representations of an oscillator state.
• peskin.exe: excitatory and inhibitory coupling of two oscillators that leads to synchronization and antisynchronization, respectively.
• sincro2d: 2d model of excitatory coupling, synchronization
• anti2d: 2d model of inhibitory coupling, spatio-temporal structures