Abstract:

The relevance of the chosen topic is to update and improve the representation of knowledge about the nervous system functioning at the signal transmission level of the system structural units. Firstly, a systematic knowledge system for synaptic signaling is proposed. The results obtained should be used in the development of systems for the patients’ diagnosis. To achieve the goal of work, the following tasks must be solved: 1. To study and describe mathematically structural physiology organization and synapse and synaptic transmission structure; 2. To carry out the analysis of mediator exocytosis in the synapse; 3. To conduct the analysis of neuron-glial. The object of the study is the physiological change process of the synapses major parts. The subject of the study is the synapse state change in the event of the neuron potential action. Research methods - mathematical analysis, system analysis, computer simulation. The mathematical models study is carried out using modern methods of nonlinear dynamics, including the analysis of models phase space, the study of basic bifurcations and dynamic modes bifurcation boundaries construction, construction of Poincare mappings, calculation of statistical and information results of observed signals. The main focus of the study is the effects of signal generation in neurons and astrocytes, the spatiotemporal patterns formation in network systems and the possible mechanisms for controlling their evolution by introducing external stimuli and rearranging internal parameters to obtain a given dynamic mode. The scientific novelty of the work is that the systematic simulation of the synapses and synaptic transmission physiology had performed for the first time. The practical significance of the obtained results is that the work results can be used to build a biotechnical system for diagnosing the nervous system condition.

Keywords: biotechnical system, mathematical analysis, physiology