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Modelling and Simulation of Photosynthetic Microorganism Growth: Random Walk vs. Finite Difference Method
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SYSNO ASEP 0358693 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Modelling and Simulation of Photosynthetic Microorganism Growth: Random Walk vs. Finite Difference Method Author(s) Papáček, Š. (CZ)
Matonoha, Ctirad (UIVT-O) RID, SAI
Štumbauer, V. (CZ)
Štys, D. (CZ)Source Title Mathematics and Computers in Simulation. - : Elsevier - ISSN 0378-4754
Roč. 82, č. 10 (2012), s. 2022-2032Number of pages 11 s. Action Modelling 2009. IMACS Conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering /4./ Event date 22.06.2009-26.06.2009 VEvent location Rožnov pod Radhoštěm Country CZ - Czech Republic Event type WRD Language eng - English Country NL - Netherlands Keywords multiscale modelling ; distributed parameter system ; boundary value problem ; random walk ; photosynthetic factory Subject RIV EI - Biotechnology ; Bionics CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000308519900022 EID SCOPUS 84865762394 DOI 10.1016/j.matcom.2011.07.006 Annotation 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. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2013
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