On the Mathematical Modelling of EPS Production by a Thermophilic Bacterium
An increasing interest towards microbial exopolysaccharides (EPSs) is determined by the wide variety of their properties as a result of diversity in their composition. Thermophilic microorganisms suggest non pathogenic products, appropriated for application in food industry, pharmacy and cosmetics. They offer also short fermentation processes, better mass transfer, decreased viscosity of synthesized polymer and of the corresponding culture liquid. Only a few EPS-secreting thermophilic bacteria were isolated . In the current work we report on the mathematical modeling of the fermentation processes based on experimental results for EPS production by a thermophilic bacterium,В Aeribacillus pallidus 418, isolated from Rupi basin, South-West Bulgaria. An investigation on the influence of agitation and aeration on the bacterial growth and EPS synthesis revealed high mass transfer dependence of the polymer production. The polymer production is associated to growth. Microbial and substrate dynamics are described by means of systems of ODEs. Two possible dynamical models based on ideas fromВ  are proposed and numerical simulations are presented.
Acknowledgements. The authors are grateful to the National Fund for Scientific Research, Bulgaria for financial support of this work (Contract DTK 02/46).
В Alt, R., S. Markov,Theoretical and computational studies of some bioreactor models,В Computers and Mathematics with Applications 64 (2012), 350--360.
 Nicolaus, B., M. Kambourova, E.T. Oner, Exopolysaccharides from extremophiles: from
fundamentals to biotechnology, Environ. Technol. 31 (2010), 1145--1158.
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