T. Eakin et M. Poenie, TRANSITIONS OF LATENCY TIME AND OSCILLATION PHASE ON PARAMETER SURFACES FROM MODELS OF INTRACELLULAR CALCIUM-ION DYNAMICS, Biosystems, 33(3), 1994, pp. 177-192
The dynamics of two classical elementary compartmental models simulati
ng intracellular calcium ion oscillatory behavior are examined in term
s of parameter surfaces. It has been found that, along certain lines o
f instability on surfaces defined by model parameters, the highly non-
linear nature of these models produces sharp transitions in the latenc
y time which determines the phase of oscillations once they commence.
This sensitivity to initial conditions in deterministic models, along
with the stochastic variance inevitably present in actual biological s
ystems, illustrates how two seemingly identical cells activated by ide
ntical synchronous stimulation can exhibit oscillatory responses which
are out of phase with respect to each other.