Alma Mater
ISSN 1026-955X
Vestnik Vysshey Shkoly (Higher School Herald)
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Application of case method in the study of differential equations by pharmacist students

A.A. Sinitsyn, N.V. Zaitseva, M.V. Chistyakov, T.A. Lobaeva
80,00 ₽

UDC 37.09:517.9+615.1
DOI 10.20339/AM.05-24.065


Andrey A. Sinitsyn,
PhD of Biological sciences,
Assistant professor of Department of normal physiology and medical physics,
FSBEI HE ROSUNIMED of MOH of Russia, e-mail:

Nataliia V. Zaitseva,
PhD of Pedagogical sciences,
Assistant Professor of Department of normal physiology and medical physics
FSBEI HE ROSUNIMED of MOH of Russia, e-mail:

Mikhail V. Chistyakov,
PhD of Physics and mathematical sciences,
Assistant Professor of Department of normal physiology and medical physics
Assistant professor of Department of Fundamental Disciplines at Medical University MGIMO-MED, e-mail:

Tatiana A. Lobaeva,
PhD of Biological sciences,
Assistant Professor of Department of Fundamental Disciplines at Medical University MGIMO-MED;
Assistant Professor of the Department of Biology and General Genetics at
Medical Institute of the Peoples’ Friendship University of Russia named after Patrice Lumumba, e-mail:



The article considers the possibilities and prospects of application of educational case method, aimed at increasing the interest and motivation of pharmacy students to the process of studying mathematics to achieve the required level of knowledge and formation of general professional competencies of future specialists in the field of pharmacy. The methodological basis and algorithm of the case method application are presented. The case studies the differential equations and the relationship between mathematical models and pharmacokinetics. The methodological substantiation of the sequence of stages of students’ activity when working with case assignments and the creative process of the teacher in the development and implementation of the cases is given. The content of the case includes interdisciplinary knowledge in order to form professional competencies necessary for a future specialist in the field of pharmacy — to competently carry out research and analytical activities in the development and examination of medicines, which corresponds to the program “Development of the pharmaceutical industry of the Russian Federation for the period up to 2030”.

Keywords: case method, mathematical model, differential equation, chemical kinetics, medicine, pharmacy




1. Akimov, V.A., Bedilo, M.V., Ivanova, E.O. Mathematical models of epidemics and pandemics as sources of emergency situations of biological and social character. Civil Security Technology. 2022. Vol. 19. No. 3 (73).

2. Alektorov, E.A., Sharipova, G.M., Safarova, I.V. Possibilities of PTC Mathcad Prime for solving the problems of chemical kinetics. Bashkir Chemical Journal. 2021. Vol. 28. No. 4.

3. Bekchanov, H.K., Zainutdinov, H.S. Akramov, U.J. Use of mathematical modeling in drug development research. In: Young Scientists — Medicine. 2022. С. 265-268.

4.       Bondarenko, S.B. Priorities of democratization of higher education // Alma Mater (Vestnik vysshey shkoly). 2015. No. 1. P. 10–14.

5.       GOST R 56702-2015. National Standard of the Russian Federation. Medicines for medical use. Preclinical toxicological and pharmacokinetic safety studies.

6.       Dobrotin, D.Yu., Dobrotina, I.N. Application of case method in teaching students of pedagogical universities. Vestnik of Moscow State Regional University. Ser.: Pedagogy. 2019. No. 1. P. 62–70.

7.       Zaitseva, N.V., Sinitsyn, A.A., Muslov, S.A., Korneev, A.A. Modern approaches in teaching natural science disciplines in higher education on the example of the implementation of the discipline “Physical bases of visualization in medical research”. In: Pedagogical Readings. Scientific and methodological foundations of educational activity in higher medical school. 2018. P. 65-68.

8.       Official site Consultant Plus [Electronic resource]. URL: (addressed on: 21.11.2023).

9.       Petrov, V.I., Tolkachev, B.E. Quantitative clinical pharmacology and patient-oriented healthcare technologies: prospects 2030. Vedomosti of the Scientific Center for Expertise of Medical Devices. Regulatory research and expertise of medicinal products. 2022. Vol. 12. No. 2. P. 205–213.

10.     Plaschevaya, E.V., Ivanchuk, O.V. The content of the physics course in a medical university: the problem and the prospect of solution. Mir nauki. Pedagogy and psychology. 2019. No. 5. Vol. 7. P. 1–10.

11. Pozharitskaya, O., Shikov, A., Makarov, V. Toxicokinetics — methodological approaches. Laboratory Animals for Science. 2019. No. 1.

12.     Popova, S.Yu., Pronina, E.V. Modern educational technologies. Case-study: textbook. Moscow, 2023. 126 p.

13.     Urvanova, N.A. Model for the development of mathematical thinking of students in classes on disciplines of mathematical and natural science cycle. Innovative development of professional education. 2018. Vol. 20. No. 4. P. 39–45.

14.     Uspensky, V.A. Algorithm. In: Mathematical Encyclopedic Dictionary. Moscow: Sov. Encyclopedia. 1988. P. 62–64.

15.     Chistyakov, I.N., Kapustin, M.V., Arutyunyan, A.V. Organizations managing research centers in preclinical studies of medicines (review). Drug Development and Registration. 2015. No. 4 (13).

16.     Conklin, L.S., Hoffman, E.P., van der Anker, J. Developmental pharmacodynamics and modeling in pediatric drug development. The journal of clinical pharmacology. 2019.Vol. 59. No. S1. P. S87–S94.

17.     Tanveer, A., Hussain, Kh., Tasneem, H., Arif, I., Rashid, M., Abbas, N., Shamim, R., Shah, P.A., Bukhari, N.I. Prediction of cyp-mediated silybin A-losartan pharmacokinetic interactions using physiological based pharmacokinetic modeling. Journal of Pharmacokinetics and Pharmacodynamics. 2022. Vol. 49. No. 3. P. 311–323.