Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method

Compartmental modelling refers to modelling the transport of substances in a system consisting of multiple compartments, which is characterized by the transfer rates among the relevant compartments. In a generalized compartmental system, recycling of substances among the compartments is allowed. Com...

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Autores principales:	Beni Mehrdad Shahmohammadi, Yu Kwan Ngok
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	compartmental modelling hooke and jeeves method numerical analysis nonlinear fitting derivative free method Physics QC1-999
Acceso en línea:	https://doaj.org/article/6d93ef73a8cb4012b8d6202aa4cfe876
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id	oai:doaj.org-article:6d93ef73a8cb4012b8d6202aa4cfe876
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spelling	oai:doaj.org-article:6d93ef73a8cb4012b8d6202aa4cfe8762021-12-05T14:11:01ZNonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method2391-547110.1515/phys-2021-0026https://doaj.org/article/6d93ef73a8cb4012b8d6202aa4cfe8762021-05-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0026https://doaj.org/toc/2391-5471Compartmental modelling refers to modelling the transport of substances in a system consisting of multiple compartments, which is characterized by the transfer rates among the relevant compartments. In a generalized compartmental system, recycling of substances among the compartments is allowed. Compartmental modelling is a generic technique which is needed in many branches of applied physics. The most challenging task is to determine the transfer rates. The present work described the use of the Hooke and Jeeves (HJ) derivative free direct search method in determining the transfer rates to construct a multi-compartmental model with recycling among the compartments. The use of a direct search method ensures the applicability of the model to functions which are not continuous or differentiable. The present model was successfully validated using previously reported experimental data for distribution of trace elements in four compartments in an animal.Beni Mehrdad ShahmohammadiYu Kwan NgokDe Gruyterarticlecompartmental modellinghooke and jeeves methodnumerical analysisnonlinear fittingderivative free methodPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 277-280 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	compartmental modelling hooke and jeeves method numerical analysis nonlinear fitting derivative free method Physics QC1-999
spellingShingle	compartmental modelling hooke and jeeves method numerical analysis nonlinear fitting derivative free method Physics QC1-999 Beni Mehrdad Shahmohammadi Yu Kwan Ngok Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method
description	Compartmental modelling refers to modelling the transport of substances in a system consisting of multiple compartments, which is characterized by the transfer rates among the relevant compartments. In a generalized compartmental system, recycling of substances among the compartments is allowed. Compartmental modelling is a generic technique which is needed in many branches of applied physics. The most challenging task is to determine the transfer rates. The present work described the use of the Hooke and Jeeves (HJ) derivative free direct search method in determining the transfer rates to construct a multi-compartmental model with recycling among the compartments. The use of a direct search method ensures the applicability of the model to functions which are not continuous or differentiable. The present model was successfully validated using previously reported experimental data for distribution of trace elements in four compartments in an animal.
format	article
author	Beni Mehrdad Shahmohammadi Yu Kwan Ngok
author_facet	Beni Mehrdad Shahmohammadi Yu Kwan Ngok
author_sort	Beni Mehrdad Shahmohammadi
title	Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method
title_short	Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method
title_full	Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method
title_fullStr	Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method
title_full_unstemmed	Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method
title_sort	nonlinear fitting of multi-compartmental data using hooke and jeeves direct search method
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/6d93ef73a8cb4012b8d6202aa4cfe876
work_keys_str_mv	AT benimehrdadshahmohammadi nonlinearfittingofmulticompartmentaldatausinghookeandjeevesdirectsearchmethod AT yukwanngok nonlinearfittingofmulticompartmentaldatausinghookeandjeevesdirectsearchmethod
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Nonlinear fitting of multi-compartmental data using Hooke and Jeeves direct search method

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