Comparison Theorems for Stochastic Chemical Reaction Networks
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| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11538-023-01136-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7468 |
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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 |
8.891145 |