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Nhan đề : 
Comparison Theorems for Stochastic Chemical Reaction Networks
Tác giả : 
Felipe . A, Campos
Simone, Bruno
Yi, Fu
Năm xuất bản : 
2023
Nhà xuất bản : 
Springer
Tóm tắt : 
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.
Mô tả: 
CC BY
URI: 
https://link.springer.com/article/10.1007/s11538-023-01136-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7468
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