The importance of taking into account the spatial-separated processes at modelling of excitement origin and wave propagation on cardiac tissues is demonstrated. The possibility of mathematical modelling the consequent activation of cardiac cells by means of the delay-differential equations is shown. This equations allow to take into account the temporary relations in the system of cardiac regulation. Due to complexity of considered system for delay-differential equations, the methods for construction of their model systems are offered for model studies. In this work the results of the qualitative analysis of developed equations for cardiac tissue excitement and using this equations for mathematical and computer modelling of cardiovascular system regulatory mechanisms are given.