Modelling and Simulation of Photosynthetic Microorganism Growth: Random Walk vs. Finite Difference Method

0358693 - ÚI 2013 RIV NL eng J - Journal Article
Papáček, Š. - Matonoha, Ctirad - Štumbauer, V. - Štys, D.
Modelling and Simulation of Photosynthetic Microorganism Growth: Random Walk vs. Finite Difference Method.
Mathematics and Computers in Simulation. Roč. 82, č. 10 (2012), s. 2022-2032. ISSN 0378-4754. E-ISSN 1872-7166.
[Modelling 2009. IMACS Conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering /4./. Rožnov pod Radhoštěm, 22.06.2009-26.06.2009]
Grant - others:CENAKVA(CZ) CZ.1.05/2.1.00/01.0024; GA JU(CZ) 152//2010/Z
Institutional research plan: CEZ:AV0Z10300504
Keywords : multiscale modelling * distributed parameter system * boundary value problem * random walk * photosynthetic factory
Subject RIV: EI - Biotechnology ; Bionics
Impact factor: 0.836, year: 2012

The paper deals with photosynthetic microorganism growth modelling and simulation in a distributed parameter system. Main result concerns the development and comparison of two modelling frameworks for photo-bioreactor modelling. The first ”classical" approach is based on PDE (reaction-turbulent diffusion system) and finite difference method. The alternative approach is based on random walk model of transport by turbulent diffusion. The complications residing in modelling of multi-scale transport and reaction phenomena are clarified and the solution is chosen. It consists on phenomenological state description of microbial culture by the lumped parameter model of photosynthetic factory (PSF model) in the re-parametrized form, published recently in this journal by Papacek, et al. (2010). Obviously both approaches lead to the same simulation results, nevertheless they provide different advantages.
Permanent Link: http://hdl.handle.net/11104/0196652