Here , are concentrations of activator and inhibitor of coagulation process consequently; D is their diffusion coefficient; , , , C, 1, 2, 0, 0 are kinetic model parameters; is concentrations of forming thrombus polymer. Equations (1) have the only spatial uniform stable steady state (=0, =0). Different perturbations of activator steady distribution were used as initial conditions to simulate coagulation process in vitro.
Numerical results in one-dimensional cylindrical symmetry case show that self-sustained oscillation processes in the system depend on initial perturbation: its integral value and typical spatial scale . Obtained results were justified by theoretical analysis of the initial stage of self-sustained oscillation processes. It was also found the similar dependence in 1D plane case .
However, in the real experiments initial activator distributions have no radial symmetry, and, as it follows from above consideration, its small fluctuations may play significant role. In this case observed effects will be two-dimensional. Using 2D calculations as the base we investigated regulations of self-sustained oscillation processes in the model (1)-(2) . It was found that irregularities of initial activator distribution could qualitatively change process development and result in polymer pattern formation of complex form instead of circular patterns like "targets". Numerical simulations have revealed a recurring scenario of thrombus formation by moving, dividing and interacting structures of activator concentration.
Research was carried out under support of Russian Foundation for Basic
Research, grant N 96-01-01306.