In this paper we show some applications of Advanced and Parallel Computing to the study of mathematical models in Systems Biology and in particular of the network of biochemical reactions occurring inside a cell. Due to their high complexity, the numerical study of these systems must be approached by means of sophisticated Advanced Computing tools. In a deterministic framework, we show two examples of application of Optimal Control techniques to the study of the effects of a drug on enzyme reactions occurring inside a cell, where «ad-hoc» algorithms for the numerical solution of the Hamilton-Jacobi-Bellman equation are used in a parallel environment. © 2010 IMACS.

Application of Optimal Control techniques and Advanced Computing to the study of enzyme kinetics / Bersani, Alberto Maria; Carlini, Elisabetta; Piero, Lanucara; Rorro, Marco; Vittorio, Ruggiero. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - STAMPA. - 81:3(2010), pp. 705-716. [10.1016/j.matcom.2010.09.010]

Application of Optimal Control techniques and Advanced Computing to the study of enzyme kinetics

BERSANI, Alberto Maria;CARLINI, Elisabetta;RORRO, MARCO;
2010

Abstract

In this paper we show some applications of Advanced and Parallel Computing to the study of mathematical models in Systems Biology and in particular of the network of biochemical reactions occurring inside a cell. Due to their high complexity, the numerical study of these systems must be approached by means of sophisticated Advanced Computing tools. In a deterministic framework, we show two examples of application of Optimal Control techniques to the study of the effects of a drug on enzyme reactions occurring inside a cell, where «ad-hoc» algorithms for the numerical solution of the Hamilton-Jacobi-Bellman equation are used in a parallel environment. © 2010 IMACS.
2010
michaelis-menten kinetics; hamilton-jacobi-bellman equations; hamilton-jacobi- bellman equations.; optimal control
01 Pubblicazione su rivista::01a Articolo in rivista
Application of Optimal Control techniques and Advanced Computing to the study of enzyme kinetics / Bersani, Alberto Maria; Carlini, Elisabetta; Piero, Lanucara; Rorro, Marco; Vittorio, Ruggiero. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - STAMPA. - 81:3(2010), pp. 705-716. [10.1016/j.matcom.2010.09.010]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/360147
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