ISSN 1812-7231 Klin.inform.telemed. Volume 11, Issue 12, 2015, Pages 43–49
V. P. Marceniuk, Z. V. Mayhruk
I. Ya. Horbachevsky Ternopil State Medical University, Ukraine
Algorithms qualitative analysis Hodgkin–Huxley model axon activity
Introduction. A model of electrical activity of the giant axon of the squid Hodgkin–Huxley.
Formulation of the problem. When the axon excitability studied by building this type of classification rules excitability calculated initial conditions. Systems of ordinary differential equations of mathematical biology are used as parameters constant speed and initial values.
The object of the study. Develop and justify bifurcation control method in electrophysiological Hodgkin–Huxley model based on the maximum principle, which is reduced to the classification rules and takes into account both speed constants and initial conditions.
Study results. The approach of qualitative analysis system Hodgkin–Huxley based multivariate method comprising sequential algorithm coating. The software environment is implemented as a package of Java-classes. It shows real example research model in the integrated software environment.
Conclusion. Qualitative analysis of the Hodgkin–Huxley model lets us design criteria for classification and prediction of the electrical excitability of nerve cells. These criteria can be expressed in terms of the structure of knowledge such as decision trees and classification rules. Multivariate method proposed in this paper is proved to program implementation. Stabilization control bifurcation in the Hodgkin–Huxley model may have important clinical application for patients suffering from Alzheimer's disease, epilepsy, or irregular heartbeat.
Hodgkin–Huxley model, Qualitative analysis, Tree decision
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