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Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method

Abd. Rahman, Haliza and Bahar, Arifah and Mohd. Aziz, Mohd. Khairul Bazli and Rosli, Norhayati and Salleh, Madihah and Weber, Gerhard-Wilhelm (2009) Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method. Matematika, 25 (1). pp. 91-106. ISSN 0127-8274

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Official URL: http://www.fs.utm.my/matematika/content/view/238/3...

Abstract

In this paper, we estimate the drift and diffusion parameters of the stochas- tic logisticmodels for the growth of Clostridium Acetobutylicum P262 using Levenberg- Marquardt optimization method of non linear least squares. The parameters are esti- mated for five different substrates. The solution of the deterministic models has been approximated using Fourth Order Runge-Kutta and for the solution of the stochastic differential equations, Milstein numerical scheme has been used. Small values of Mean Square Errors (MSE) of stochastic models indicate good fits. Therefore the use of stochastic models are shown to be appropriate in modelling cell growth of Clostridium Acetobutylicum P262

Item Type:Article
Uncontrolled Keywords:Ito differential equation, stochastic logistic model, Levenberg-Marquardt, Milstein scheme, fermentation
Subjects:T Technology > TJ Mechanical engineering and machinery
Divisions:Science
ID Code:6784
Deposited By: Mohamad Ali Duki
Deposited On:14 Nov 2008 05:28
Last Modified:10 May 2011 05:05

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