WHITE NOISE APPROACH TO TIME OR SPACE-TIME DEPENDENT RANDOM FUNCTIONS DESCRIBING BIOLOGICAL PHENOMENA

Abstract

We are interested in some biological phenomena which are evolutional ran- dom complex systems. Simplest cases are expressed in the form of stochastic processes X(t) that are functionals of white noise. In more general cases those phenomena in question are viewed as random fields X(C) depending on a manifold C running through a space-time Euclidean space Rn. We may assume that C is an (n − 1)-dimensional smooth ovaloid so that variational calculus can be applied smoothly.