Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method
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...
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| Language: | en |
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Faculty of Science
2009
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| Online Access: | http://eprints.utm.my/6784/1/HalizaAbdRahman2009_ParameterEstimationofStochasticLogistic.pdf http://eprints.utm.my/6784/ http://www.fs.utm.my/matematika/content/view/238/31/ |
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| author | Abd. Rahman, Haliza Bahar, Arifah Mohd. Aziz, Mohd. Khairul Bazli Rosli, Norhayati Salleh, Madihah Weber, Gerhard-Wilhelm |
| author_facet | Abd. Rahman, Haliza Bahar, Arifah Mohd. Aziz, Mohd. Khairul Bazli Rosli, Norhayati Salleh, Madihah Weber, Gerhard-Wilhelm |
| author_sort | Abd. Rahman, Haliza |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | 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 |
| format | Article |
| id | my.utm.eprints-6784 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2009 |
| publisher | Faculty of Science |
| record_format | eprints |
| spelling | my.utm.eprints-67842011-05-10T05:05:23Z http://eprints.utm.my/6784/ Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method Abd. Rahman, Haliza Bahar, Arifah Mohd. Aziz, Mohd. Khairul Bazli Rosli, Norhayati Salleh, Madihah Weber, Gerhard-Wilhelm TJ Mechanical engineering and machinery 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 Faculty of Science 2009-12 Article PeerReviewed application/pdf en http://eprints.utm.my/6784/1/HalizaAbdRahman2009_ParameterEstimationofStochasticLogistic.pdf 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 http://www.fs.utm.my/matematika/content/view/238/31/ |
| spellingShingle | TJ Mechanical engineering and machinery Abd. Rahman, Haliza Bahar, Arifah Mohd. Aziz, Mohd. Khairul Bazli Rosli, Norhayati Salleh, Madihah Weber, Gerhard-Wilhelm Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method |
| title | Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method |
| title_full | Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method |
| title_fullStr | Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method |
| title_full_unstemmed | Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method |
| title_short | Parameter estimation of Stochastic Logistic Model : Levenberg-Marquardt Method |
| title_sort | parameter estimation of stochastic logistic model : levenberg-marquardt method |
| topic | TJ Mechanical engineering and machinery |
| url | http://eprints.utm.my/6784/1/HalizaAbdRahman2009_ParameterEstimationofStochasticLogistic.pdf http://eprints.utm.my/6784/ http://www.fs.utm.my/matematika/content/view/238/31/ |
| url_provider | http://eprints.utm.my/ |