Chemical reaction network properties of S-systems and decompositions of reaction networks

This thesis examined two models of the gene regulatory system of Mycobacterium Tuberculosis (Mtb) presented as S-system by Magombedze and Mulder (2013). The models are partitioned into three subsystems based on putative gene function and role in dormancy/latency development. This study investigated...

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Main Author: Farinas, Honeylou F.
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Language:English
Published: Animo Repository 2021
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Online Access:https://animorepository.dlsu.edu.ph/etdd_math/3
https://animorepository.dlsu.edu.ph/cgi/viewcontent.cgi?article=1002&context=etdd_math
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spelling oai:animorepository.dlsu.edu.ph:etdd_math-10022021-10-06T00:58:43Z Chemical reaction network properties of S-systems and decompositions of reaction networks Farinas, Honeylou F. This thesis examined two models of the gene regulatory system of Mycobacterium Tuberculosis (Mtb) presented as S-system by Magombedze and Mulder (2013). The models are partitioned into three subsystems based on putative gene function and role in dormancy/latency development. This study investigated the chemical reaction network (CRN) representation of the Mtb models and each subsystem to obtain new mathematical results in Chemical Reaction Network Theory. The subsystems are represented as embedded networks (an arc connecting two vertices that represent genes from different subsystems is retained). For the embedded networks of S_system CRNs (with at least two species) are discordant. Analyzing the subsystems as subnetworks, we formed a digraph homomorphism from the corresponding subnetworks to the embedded networks and explored the modularity concepts of digraph. Further analysis of the Mtb S-systems led us to develop different classes of decomposition of reaction networks based on the approach of Feinberg (1987) in decomposing a CRN and were used to correct a deficiency formula of Arceo et al. (2015). 2021-09-01T07:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etdd_math/3 https://animorepository.dlsu.edu.ph/cgi/viewcontent.cgi?article=1002&context=etdd_math Mathematics and Statistics Dissertations English Animo Repository Mycobacterium tuberculosis--Mathematics Chemical reactions Differential equations, Nonlinear Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Mycobacterium tuberculosis--Mathematics
Chemical reactions
Differential equations, Nonlinear
Mathematics
spellingShingle Mycobacterium tuberculosis--Mathematics
Chemical reactions
Differential equations, Nonlinear
Mathematics
Farinas, Honeylou F.
Chemical reaction network properties of S-systems and decompositions of reaction networks
description This thesis examined two models of the gene regulatory system of Mycobacterium Tuberculosis (Mtb) presented as S-system by Magombedze and Mulder (2013). The models are partitioned into three subsystems based on putative gene function and role in dormancy/latency development. This study investigated the chemical reaction network (CRN) representation of the Mtb models and each subsystem to obtain new mathematical results in Chemical Reaction Network Theory. The subsystems are represented as embedded networks (an arc connecting two vertices that represent genes from different subsystems is retained). For the embedded networks of S_system CRNs (with at least two species) are discordant. Analyzing the subsystems as subnetworks, we formed a digraph homomorphism from the corresponding subnetworks to the embedded networks and explored the modularity concepts of digraph. Further analysis of the Mtb S-systems led us to develop different classes of decomposition of reaction networks based on the approach of Feinberg (1987) in decomposing a CRN and were used to correct a deficiency formula of Arceo et al. (2015).
format text
author Farinas, Honeylou F.
author_facet Farinas, Honeylou F.
author_sort Farinas, Honeylou F.
title Chemical reaction network properties of S-systems and decompositions of reaction networks
title_short Chemical reaction network properties of S-systems and decompositions of reaction networks
title_full Chemical reaction network properties of S-systems and decompositions of reaction networks
title_fullStr Chemical reaction network properties of S-systems and decompositions of reaction networks
title_full_unstemmed Chemical reaction network properties of S-systems and decompositions of reaction networks
title_sort chemical reaction network properties of s-systems and decompositions of reaction networks
publisher Animo Repository
publishDate 2021
url https://animorepository.dlsu.edu.ph/etdd_math/3
https://animorepository.dlsu.edu.ph/cgi/viewcontent.cgi?article=1002&context=etdd_math
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