Mathematical modeling of microorganism growth (analytical approach)

Автор: Glagolev M.V.
Журнал: Динамика окружающей среды и глобальные изменения климата
Том: 12
Номер: 2
Год издания: 2021
Издательство: Югорский государственный университет
Местоположение издательства: Ханты-Мансийск
Первая страница: 107
Последняя страница: 122
DOI: 10.17816/edgcc90125
Аннотация: This work is a report «Mathematical modeling of the growth of microorganisms», written at the suggestion of the teacher of mathematics L.S. Akinfieva in 1982, when the author was a school-boy of the 10th grade of a specialized (with in-depth study of biology) school No. 11 in Moscow. All students of this class were asked to write reports (as a «gift for the 60th anniversary of the USSR») within the framework of the general theme «Mathematics in my future profession».The report contains the basic equations of the kinetics of growth and dying of microorganisms, as well as their consumption of a nutrient substrate (Malthus, Monod’s equations, Herbert’s model). In addition to the equations of microbiological kinetics themselves, some methods of obtaining their approximate solutions in the form of elementary functions (without using numerical methods) are demonstrated.
Добавил в систему: Глаголев Михаил Владимирович

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