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Comparison Theorems for Stochastic Chemical Reaction Networks

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Bibliographic Details
Main Authors: Felipe . A, Campos, Simone, Bruno, Yi, Fu
Format: Book
Language:English
Published: Springer 2023
Subjects:
SCRNs
general continuous-time Markov chains
Online Access:https://link.springer.com/article/10.1007/s11538-023-01136-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7468
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spelling oai:localhost:PNK-74682023-04-04T02:25:11Z Comparison Theorems for Stochastic Chemical Reaction Networks Felipe . A, Campos Simone, Bruno Yi, Fu SCRNs general continuous-time Markov chains CC BY Continuous-time Markov chains are frequently used as stochastic models for chemical reaction networks, especially in the growing field of systems biology. A fundamental problem for these Stochastic Chemical Reaction Networks (SCRNs) is to understand the dependence of the stochastic behavior of these systems on the chemical reaction rate parameters. Towards solving this problem, in this paper we develop theoretical tools called comparison theorems that provide stochastic ordering results for SCRNs. These theorems give sufficient conditions for monotonic dependence on parameters in these network models, which allow us to obtain, under suitable conditions, information about transient and steady-state behavior. These theorems exploit structural properties of SCRNs, beyond those of general continuous-time Markov chains. 2023-04-04T02:25:11Z 2023-04-04T02:25:11Z 2023 Book https://link.springer.com/article/10.1007/s11538-023-01136-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7468 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic SCRNs
general continuous-time Markov chains
spellingShingle SCRNs
general continuous-time Markov chains
Felipe . A, Campos
Simone, Bruno
Yi, Fu
Comparison Theorems for Stochastic Chemical Reaction Networks
description CC BY
format Book
author Felipe . A, Campos
Simone, Bruno
Yi, Fu
author_facet Felipe . A, Campos
Simone, Bruno
Yi, Fu
author_sort Felipe . A, Campos
title Comparison Theorems for Stochastic Chemical Reaction Networks
title_short Comparison Theorems for Stochastic Chemical Reaction Networks
title_full Comparison Theorems for Stochastic Chemical Reaction Networks
title_fullStr Comparison Theorems for Stochastic Chemical Reaction Networks
title_full_unstemmed Comparison Theorems for Stochastic Chemical Reaction Networks
title_sort comparison theorems for stochastic chemical reaction networks
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11538-023-01136-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7468
_version_ 1762274897360322560
score 8.881002

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