System approach in creation of mathematical models in biophysics

S Y. Rybalko; R I Islyamov; S G Yashchenko

doi:doi:

UDC 577

System approach in creation of mathematical models in biophysics

Published в Russian Journal of Biological Physics and Chemisrty · Volume 2, Issue 1, 2017 · Pages 167–170 · Rubrics: General biophysics

Received: 20.06.2017 Accepted: 20.06.2017 Published: 25.06.2017 Language of publication: RUS

Authors

S Y. Rybalko ¹ · R I Islyamov ² · S G Yashchenko ³

1 V.I. Vernadsky Crimean Federal University

2 V.I. Vernadsky Crimean Federal University

3 V.I. Vernadsky Crimean Federal University

ABSTRACT

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.

KEYWORDS

mathematical model stages system approach teaching

Information Text References

Authors:

1. V.I. Vernadsky Crimean Federal University

2. V.I. Vernadsky Crimean Federal University

3. V.I. Vernadsky Crimean Federal University

Type:

Article

Pages:

from 167 to 170

Status:

Published

Subject area:

UDC 577

Language:

Russian

Keywords:

mathematical model, stages, system approach, teaching

Text

Text (PDF): Read Download

References

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.)] EDN: https://elibrary.ru/LKGAFH

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.)] EDN: https://elibrary.ru/PVQIXG

This work is licensed under Creative Commons Attribution 4.0 International

Доступ и загрузка

📄 PDF Text 🗂 JATS XML ❝ To cite 📎 Citations

—

Views

—

Downloads

Citations

Индексируется в

RI RINC Indexing database RI RINC Science Index Indexing database OP Open Access Indexing database CR Crossref DOI registration

Indexing and databases

RINC → RINC Science Index → Crossref →

This work is licensed under Creative Commons Attribution 4.0 International Creative Commons

System approach in creation of mathematical models in biophysics

Confirmation

Регистрация