Mathematical Modeling and Computer Simulation
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Once upon a time, man started to use models in his practical activity. Modeling continues to play a very important role in studying natural phenomena and processes as well as helping to create modern engineering systems. Additionally, modeling is used in biology and medicine to find the mechanisms of function and malfunction concerning the organs of living organisms at both the micro and macro level.
Generally, a model has been defined  as the reconstruction of something found or created in the real world, a simplified representation of a more complex form, process, or idea, which may enhance understanding and facilitate prediction. The object of the model is called the original, or prototype system.
KeywordsDirect Analogy Prototype System Relaxation Oscillation Sinusoidal Oscillation Iron Wire
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- 2.Kogan, B.Y. and I.M. Tetelbaum, Modeling techniques in scientific research. Automation and Remote Control, 1979. 40: 917–924.Google Scholar
- 3.Karplus, W.J., The spectrum of mathematical models. Perspectives in Computing, 1983. 3: 4–13.Google Scholar
- 4.Noble, D., A modification of the Hodgkin-Huxley equations applicable to Purkinje fiber action and pace-maker potentials. J Physiol, 1962. 160: 317–352.Google Scholar
- 6.Krinsky, V.I., Fibrillation in excitable media. Problems in Cybernetics, 1968. 20: 59–80.Google Scholar
- 8.Hodgkin, A.L. and A.F. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol, 1952. 117: 500–544.Google Scholar
- 10.van der Pol, B. and J. van der Mark, The heartbeat considered as relaxation oscillations, and an electrical model of the heart. Archives Neerlandaises Physiologe De L'Homme et des Animaux, 1929. XIV: 418–443.Google Scholar
- 12.Tzypkin, Y.Z., Information Theory of Identification. 1995, Moscow: Nauka-Fizmatlit.Google Scholar
- 13.Ostwald, W., Periodische erscheinungen bei der auflosung des chrom in sauren. Zeit Phys Chem, 1900. 35: 33–76 and 204–256.Google Scholar
- 16.Nagumo, J., R. Suzuki, and S. Sato. Electrochemical active network. in Notes of Professional Group on Nonlinear Theory of IECE. 1963. Japan.Google Scholar
- 17.Smith, E.E. and A.C. Guyton, An iron heart model for study of cardiac impulse transmission. Physiologist, 1961. 4: 112.Google Scholar
- 18.Suzuki, R., Electrochemical neuron model. Adv Biophys, 1976. 9: 115–156.Google Scholar
- 19.MacGregor, R.J. and E.R. Lewis, Neural Modeling: Electrical Signal Processing in the Nervous System. 1977, New York: Plenum.Google Scholar