Comput Math Methods Med - Complexity analysis and parameter estimation of dynamic metabolic systems.

Tópicos

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Resumo

A metabolic system consists of a number of reactions transforming molecules of one kind into another to provide the energy that living cells need. Based on the biochemical reaction principles, dynamic metabolic systems can be modeled by a group of coupled differential equations which consists of parameters, states (concentration of molecules involved), and reaction rates. Reaction rates are typically either polynomials or rational functions in states and constant parameters. As a result, dynamic metabolic systems are a group of differential equations nonlinear and coupled in both parameters and states. Therefore, it is challenging to estimate parameters in complex dynamic metabolic systems. In this paper, we propose a method to analyze the complexity of dynamic metabolic systems for parameter estimation. As a result, the estimation of parameters in dynamic metabolic systems is reduced to the estimation of parameters in a group of decoupled rational functions plus polynomials (which we call improper rational functions) or in polynomials. Furthermore, by taking its special structure of improper rational functions, we develop an efficient algorithm to estimate parameters in improper rational functions. The proposed method is applied to the estimation of parameters in a dynamic metabolic system. The simulation results show the superior performance of the proposed method.

Resumo Limpo

metabol system consist number reaction transform molecul one kind anoth provid energi live cell need base biochem reaction principl dynam metabol system can model group coupl differenti equat consist paramet state concentr molecul involv reaction rate reaction rate typic either polynomi ration function state constant paramet result dynam metabol system group differenti equat nonlinear coupl paramet state therefor challeng estim paramet complex dynam metabol system paper propos method analyz complex dynam metabol system paramet estim result estim paramet dynam metabol system reduc estim paramet group decoupl ration function plus polynomi call improp ration function polynomi furthermor take special structur improp ration function develop effici algorithm estim paramet improp ration function propos method appli estim paramet dynam metabol system simul result show superior perform propos method

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