Comput Methods Programs Biomed - Optimization of microorganisms growth processes.

Tópicos

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Resumo

Microorganisms growth processes are encountered in many biotechnological applications. For an increased economic benefit, optimizing their productivity is of great interest. Often the growth is inhibited by the presence in excess of other components. Inhibition determines the occurrence of multiple equilibrium points, which makes the optimal steady state reachable only from a small region of the system state space. Thus dynamic control is needed to drive the system from an initial state (characterized by a low concentration of microorganisms) to the optimal steady state. The strategy presented in this paper relies on the solutions of two optimization problems: the problem of optimal operation for maximum productivity in steady state (steady state optimization) and the problem of the start-up to the optimal steady state (transient optimization). Steady state optimization means determining the optimal equilibrium point (the amount of microorganisms harvested is maximum). The transient optimization is solved using the maximum principle of Pontryagin. The proposed control law, which drives the bioreactor from an initial state to the optimal steady state while maximizing the productivity, consists of switching the manipulated variable (dilution rate) from the minimum to the maximum value and then to the optimal value at well defined instants. This control law substantially increases the stability region of the optimal equilibrium point. Aside its efficiency, the strategy is also characterized by simplicity, being thus appropriate for implementation in real-life systems. Another important advantage is its generality: this technique may be applied to any microorganisms growth process which involves only one biochemical reaction. This means that the sequence of the control levels does not depend on the structure and parameters of the reaction kinetics, the values of the yield coefficients or the number of components in the bioreactor.

Resumo Limpo

microorgan growth process encount mani biotechnolog applic increas econom benefit optim product great interest often growth inhibit presenc excess compon inhibit determin occurr multipl equilibrium point make optim steadi state reachabl small region system state space thus dynam control need drive system initi state character low concentr microorgan optim steadi state strategi present paper reli solut two optim problem problem optim oper maximum product steadi state steadi state optim problem startup optim steadi state transient optim steadi state optim mean determin optim equilibrium point amount microorgan harvest maximum transient optim solv use maximum principl pontryagin propos control law drive bioreactor initi state optim steadi state maxim product consist switch manipul variabl dilut rate minimum maximum valu optim valu well defin instant control law substanti increas stabil region optim equilibrium point asid effici strategi also character simplic thus appropri implement reallif system anoth import advantag general techniqu may appli microorgan growth process involv one biochem reaction mean sequenc control level depend structur paramet reaction kinet valu yield coeffici number compon bioreactor

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