What Stochastic Mechanics is Relevant to the Study of Living Systems?

Biologists have identified many features of living systems, which cannot be studied by the application of fundamental statistical mechanics (FSM). The present work focuses on some of these features. By discussing all of the basic approaches of FSM, the work formulates the extension of the kinetic-theory paradigm (based on the reduced one-particle distribution function) that possesses all of the considered properties of the living-systems. This extension appears to be a model within the generalised kinetic theory developed by N. Bellomo and his co-authors. In connection with this model, the work also stresses some other features necessary for making the model relevant to living systems. An example is discussed, which is a generalised kinetic equation coupled with the probability-density equation representing the varying component content of a living system. The work also suggests directions for future research