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Identification of mathematical model of bacteria population under the antibiotic influence

  • Simon Serovajsky , Daniyar Nurseitov EMAIL logo , Sergey Kabanikhin , Anvar Azimov , Alexandr Ilin and Rinat Islamov

Abstract

This work is devoted to the identification of a mathematical model of bacteria population under the antibiotic influence, based on the solution of the corresponding inverse problems. These problems are solved by the gradient method, genetic algorithm and Nelder–Mead method. Calculations are made using model and real data.

MSC 2010: 49N45; 65L09

Award Identifier / Grant number: 1746/GF4

Funding statement: This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan under the grant number 1746/GF4 and by the Ministry for Investments and Development under the project number 006/156.

Acknowledgements

We would like to thank M. V. Lankina and S. Kassymbekova of the Scientific Center of Anti-infectious Drugs for the natural experiment and discussion of these results.

References

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Received: 2017-11-01
Accepted: 2017-11-07
Published Online: 2017-12-09
Published in Print: 2018-10-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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