Stochastic analysis and control of physiological systems: Cancer detection and therapy

Abstract

Comprehensive study of many complex phenomena of biological and physiological systems should essentially be based on stochastic postulates. Having emphasized this feature, this paper develops a non-linear stochastic model encompassed by the generalized Ito-Doob equations, with particular reference to optimal estimation of causative factors and therapy for cancer. Concise mathematical algorithms yielding conceptually simpler and explicit solution schemes, based on the innovations concept and theory of martingales, have been derived. The possibility that this algorithm, using appropriate experimental observations, may provide compact and precise mathematico-biophysical representations for analysis and control in other physiological problems, has also been indicated.