Optimal control analysis of the dynamic growth behavior of microorganisms

Mandli, Aravinda R and Modak, Jayant M (2014) Optimal control analysis of the dynamic growth behavior of microorganisms. In: MATHEMATICAL BIOSCIENCES, 258 . pp. 57-67.

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Abstract

Understanding the growth behavior of microorganisms using modeling and optimization techniques is an active area of research in the fields of biochemical engineering and systems biology. In this paper, we propose a general modeling framework, based on Monad model, to model the growth of microorganisms. Utilizing the general framework, we formulate an optimal control problem with the objective of maximizing a long-term cellular goal and solve it analytically under various constraints for the growth of microorganisms in a two substrate batch environment. We investigate the relation between long term and short term cellular goals and show that the objective of maximizing cellular concentration at a fixed final time is equivalent to maximization of instantaneous growth rate. We then establish the mathematical connection between the generalized framework and optimal and cybernetic modeling frameworks and derive generalized governing dynamic equations for optimal and cybernetic models. We finally illustrate the influence of various constraints in the cybernetic modeling framework on the optimal growth behavior of microorganisms by solving several dynamic optimization problems using genetic algorithms. (C) 2014 Published by Elsevier Inc.

Item Type:	Journal Article
Publication:	MATHEMATICAL BIOSCIENCES
Publisher:	ELSEVIER SCIENCE INC
Additional Information:	Copy right for this article belongs to the ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
Keywords:	Monad kinetics; Optimal model; Cybernetic model; Optimal control; Adjoint variable; Genetic algorithm
Department/Centre:	Division of Mechanical Sciences > Chemical Engineering
Date Deposited:	24 Feb 2015 05:50
Last Modified:	24 Feb 2015 05:50
URI:	http://eprints.iisc.ac.in/id/eprint/50857

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