RESEARCH OF A MATHEMATICAL MODEL IN AFT PRODUCTION

Authors

  • Nastinov Sadriddin Tojiddin o‘g‘li Teacher of the Department of Digital Educational Technologies, Namangan State University
  • Abdukodirov Elbek Abduvali ugli Teacher of the Department of Digital Educational Technologies, Namangan State University

DOI:

https://doi.org/10.62536/sjehss.2025.v3.i6.pp9-11

Keywords:

AFT, biofilm, mathematical model, oral hygiene, differential equation, simulation

Abstract

In this work, a mathematical model of the process of antiplaque (AFT) formation in the oral cavity was developed and analyzed. AFT is a biofilm formed by microorganisms, which leads to the development of caries, gingivitis and other periodontal diseases. In the study, the main stages of AFT formation: bacterial colonization, biofilm growth and salivary flow clearance processes were mathematically modeled. A dynamic model was built based on ordinary differential equations (ODE) and simulated using MATLAB/Python. The results show a functional relationship between the level of AFT and hygiene factors.

References

Marsh PD. Dental plaque as a biofilm and a microbial community. J Oral Biosci. 2006.

Dawes C. A Mathematical Model of Salivary Clearance of Sugar. Caries Res. 1983.

Tsaira A. et al. Biomechanical Model of Human Oral Mucosa. Front Physiol. 2016.

Kolenbrander PE. Bacterial interactions during plaque development. Periodontol 2000. 2010.

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Published

2025-06-10

Issue

Vol. 3 No. 6 (2025): SJEHSS

Section

Articles

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How to Cite

RESEARCH OF A MATHEMATICAL MODEL IN AFT PRODUCTION. (2025). Sciental Journal of Education Humanities and Social Sciences, 3(6), 9-11. https://doi.org/10.62536/sjehss.2025.v3.i6.pp9-11