Computational Study of a Bioreactor Model with Microbial Growth Phases and Spatial Dispersal
DOI:
https://doi.org/10.11145/110Abstract
We consider a batch mode bioreactor model proposed in [1]. The model is developed using the fact that the bacterial growth undergoes several phases: lag, log, stationary and death phase [1], [2]. First we modify the model by introducing additional (the so-called transport) terms to describe continuously stirred bioreactor dynamics. Then we extend the model by adding diffusion terms to the equations [3]. The latter reaction diffusion equations are studied numerically. Thereby, solutions in the form of travelling waves are found.
References
[1] R. Alt, S. Markov, Theoretical and Computational Studies of Some Bioreactor Models, Computers and Mathematics with Applications 643, 2012, 350{360.
[2] S. Markov, On the Mathematical Modelling of Microbial Growth: Some Computational Aspects, Serdica Journal of Computing 5 2, 2011, 153{168.
[3] J. D. Murray, Mathematical Biology II: Spatial Models and Biomedical Applications, Third Edition, Springer, 2003
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