Experimental design for parameter estimation of two time-scale model of photosynthesis and photoinhibition in microalgae

0341543 - ÚTIA 2011 RIV NL eng J - Journal Article
Papáček, Š. - Čelikovský, Sergej - Rehák, Branislav - Štys, D.
Experimental design for parameter estimation of two time-scale model of photosynthesis and photoinhibition in microalgae.
Mathematics and Computers in Simulation. Roč. 80, č. 6 (2010), s. 1302-1309. ISSN 0378-4754. E-ISSN 1872-7166
R&D Projects: GA ČR(CZ) GA102/08/0186
Institutional research plan: CEZ:AV0Z10750506
Keywords : Photosynthetic factory * Experimental design * Parameter estimation * Two-scale modeling
Subject RIV: BC - Control Systems Theory
Impact factor: 0.812, year: 2010
http://library.utia.cas.cz/separaty/2010/TR/celikovsky-0341543.pdf

A method for parameter estimation of two time-scale model of photosynthesis and photoinhibition is presented. The model structure coincides with the earlier mechanistic concept of photosynthetic factory by Eilers and Peeters, however, our formulation respects the decomposition of the phase-space into the fast phase xA, and the slow one, xB. The experimental design for model parameters estimation is based on three complementary measurements. In addition to the standard measurement of microbial kinetics, identifying three of five model parameters, two time dependent experiments are proposed. The first one resides in photoinhibition measurement under constant irradiance (identifying the slow system dynamics), and the second one is based on periodic piecewise constant input. It is shown how to set up the input signal in order to maximize the sensitivity to the fast dynamics parameter.
Permanent Link: http://hdl.handle.net/11104/0184487