Stochastic modelling of cellulose hydrolysis with Gauss and Weibull distributed transition probabilities

Abstract Two Markov-type stochastic models were developed to describe the kinetics of acid hydrolysis of cellulose. One of them involved a Gauss (normal) distribution of probabilities of chemical bond breaking, the other a Weibull distribution. It was considered that the random breaking of cellulose...

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Autores principales:	Joseph Mcgreg Duru, Oana Cristina Pârvulescu, Tănase Dobre, Cristian Eugen Răducanu
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/28c4364858c24c2cbef8645b813de8c5
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spelling	oai:doaj.org-article:28c4364858c24c2cbef8645b813de8c52021-12-02T16:51:49ZStochastic modelling of cellulose hydrolysis with Gauss and Weibull distributed transition probabilities10.1038/s41598-021-88873-62045-2322https://doaj.org/article/28c4364858c24c2cbef8645b813de8c52021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-88873-6https://doaj.org/toc/2045-2322Abstract Two Markov-type stochastic models were developed to describe the kinetics of acid hydrolysis of cellulose. One of them involved a Gauss (normal) distribution of probabilities of chemical bond breaking, the other a Weibull distribution. It was considered that the random breaking of cellulose was based on the cleavage of a parent macromolecule into two descendants. Model equations and kinetics of acid hydrolysis of cellulose consisting of 10 and 100 units of cellobiose were presented. The effects of acid concentration and temperature on the kinetics of hydrolysis process were taken into account. The results obtained applying both stochastic models were in a reasonable agreement with those obtained using a deterministic kinetic model. These stochastic models can accurately describe the kinetics of acid hydrolysis and cover the drawbacks of some deterministic kinetic models, e.g., large number of model equations and parameters, modification of parameter values by changing the process conditions.Joseph Mcgreg DuruOana Cristina PârvulescuTănase DobreCristian Eugen RăducanuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Joseph Mcgreg Duru Oana Cristina Pârvulescu Tănase Dobre Cristian Eugen Răducanu Stochastic modelling of cellulose hydrolysis with Gauss and Weibull distributed transition probabilities
description	Abstract Two Markov-type stochastic models were developed to describe the kinetics of acid hydrolysis of cellulose. One of them involved a Gauss (normal) distribution of probabilities of chemical bond breaking, the other a Weibull distribution. It was considered that the random breaking of cellulose was based on the cleavage of a parent macromolecule into two descendants. Model equations and kinetics of acid hydrolysis of cellulose consisting of 10 and 100 units of cellobiose were presented. The effects of acid concentration and temperature on the kinetics of hydrolysis process were taken into account. The results obtained applying both stochastic models were in a reasonable agreement with those obtained using a deterministic kinetic model. These stochastic models can accurately describe the kinetics of acid hydrolysis and cover the drawbacks of some deterministic kinetic models, e.g., large number of model equations and parameters, modification of parameter values by changing the process conditions.
format	article
author	Joseph Mcgreg Duru Oana Cristina Pârvulescu Tănase Dobre Cristian Eugen Răducanu
author_facet	Joseph Mcgreg Duru Oana Cristina Pârvulescu Tănase Dobre Cristian Eugen Răducanu
author_sort	Joseph Mcgreg Duru
title	Stochastic modelling of cellulose hydrolysis with Gauss and Weibull distributed transition probabilities
title_short	Stochastic modelling of cellulose hydrolysis with Gauss and Weibull distributed transition probabilities
title_full	Stochastic modelling of cellulose hydrolysis with Gauss and Weibull distributed transition probabilities
title_fullStr	Stochastic modelling of cellulose hydrolysis with Gauss and Weibull distributed transition probabilities
title_full_unstemmed	Stochastic modelling of cellulose hydrolysis with Gauss and Weibull distributed transition probabilities
title_sort	stochastic modelling of cellulose hydrolysis with gauss and weibull distributed transition probabilities
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/28c4364858c24c2cbef8645b813de8c5
work_keys_str_mv	AT josephmcgregduru stochasticmodellingofcellulosehydrolysiswithgaussandweibulldistributedtransitionprobabilities AT oanacristinaparvulescu stochasticmodellingofcellulosehydrolysiswithgaussandweibulldistributedtransitionprobabilities AT tanasedobre stochasticmodellingofcellulosehydrolysiswithgaussandweibulldistributedtransitionprobabilities AT cristianeugenraducanu stochasticmodellingofcellulosehydrolysiswithgaussandweibulldistributedtransitionprobabilities
_version_	1718382907887714304

Stochastic modelling of cellulose hydrolysis with Gauss and Weibull distributed transition probabilities

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