In this article, the process of constructing mathematical models of biophysics applied in teaching in higher medical schools is considered. The main attention is paid to the system analysis of the initial stage of creating a mathematical model. An approach has been developed that makes it possible to clarify in detail the step-by-step relationship between the logical description of the conditions for creating a model and a finite mathematical expression. This allowed to create a simple and understandable algorithm for constructing mathematical models on the basis of differential equations for describing and solving a large class of biological, physical and medical problems. When demonstrating the creation of these models, the possibility of creative application of this approach to student scientific research in medical and biological disciplines is emphasized.
mathematical model, stages, system approach, teaching
1. Lobockaya N.L., Morozov Yu.V., Dunaev A.A. Vysshaya matematika. Minsk: «Vysheyshaya shkola», 1987, 361 c. [Lobockaya N.L., Morozov Yu.V., Dunaev A.A. Higher mathematics. Minsk: «Vyshehjshaya shkola», 1987, 361 p. (In Russ.)]
2. Reznichenko G.Yu. Lekcii po matematicheskim modelyam v biologii. Ch. 1, Moskva-Izhevsk. Nauchno-izdatel'skiy centr “Regulyarnaya i haoticheskaya dinamika”, 2002, s. 231. [Reznichenko G.Yu. Lectures on mathematical models in biology. - Ch. 1, Moscow-Izhevsk. Nauchno-izdatel'skij centr “Regulyarnaya i haoticheskaya dinamika”, 2002, 231 p. (In Russ.)]
3. Samarskiy A.A., Mihaylov A.P. Matematicheskoe modelirovanie. Idei. Metody. Primery. M.: Fizmatlit, 2001, 320 c. [Samarskij A.A., Mihajlov A.P. Mathematical modeling. Ideas. Methods. Examples. M.: Fizmatlit, 2001, 320 p. (In Russ.)]
4. Petrov I.B. Matematicheskoe modelirovanie v medicine i biologii na osnove modeley mehaniki sploshnyh sred. Trudy MFTI, 2009, t. 1, № 1, s. 5-16. [Petrov I.B. Mathematical modelling in medicine and biology based on models of continuum mechanics. Trudy MFTI, 2009, vol. 1, no. 1, pp. 5-16. (In Russ.)]
5. Smiryaev A.V., Isachkin A.V., Pankina L.K. Modelirovanie v biologii i sel'skom hozyaystve: uch. posobie. Izdanie 3-e ispravlennoe. M.: Izdatel'stvo RGAU-MSHA, 2015, 153 s. [Smiryaev A.V., Isachkin A.V., Pankina L.K. Modeling in biology and agriculture: textbook. Izdanie 3-e ispravlennoe. M.: Izdatel'stvo RGAU-MSHA, 2015, 153 p. (In Russ.)]
