U.P. Mukha, I.U. Koroleva, V.U. Naumov, L.G. Akulov

 For difficult physiological objects expedient measuring means are the measuring systems constructed in neural network element basis. Observable objects, physiological functional systems, are nonlinear dynamic systems for which the correct mathematical apparatus which is adequately describing behavior of such systems, the topology device is. By means of this device are synthesized fractal-category models for the physiological functional systems and models of their dynamic schemes. The specification of these models being functor systems is defined by topological properties of all components which are a part of functor systems. It gives the chance transition to fractal synthesis of measuring system in neural network basis. The main reception of such transition are homotopy transformations of initial topological structure to final structure. Initial topological structure is the FUS model, and final - model of measuring system in neuro network basis. The provided analysis of topological properties of components of model in the form of functor system for generalized physiological functional systems forms a basis for a choice of the scheme of equivalent structural transformations, that is homotopy transformations of this model to model of structure of measuring system in neural network basis.