Author/Authors :
Abd. Rahman, Haliza Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Bahar, Arifah Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Mohd. Aziz, Mohd. Khairul Bazli Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Rosli, Norhayati Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Salleh, Madihah Universiti Teknologi Malaysia - Faculty of Biosciences and Bioengineering - Department of Biotechnology Industry, Malaysia , Weber, Gerhard-Wilhelm Middle East Technical University - Institute of Applied Mathematics, Turkey
Abstract :
In this paper, we estimate the drift and diffusion parameters of the stochastic logisticmodels for the growth of Clostridium Acetobutylicum P262 using Levenberg- Marquardt optimization method of non linear least squares. The parameters are estimated 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.
Keywords :
Ito differential equation , stochastic logistic model , Levenberg , Marquardt , Milstein scheme , fermentation
