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Absolute concentration robustness in networks with low-dimensional stoichiometric subspace
A reaction system exhibits “absolute concentration robustness”(ACR) in some species if the
positive steady-state value of that species does not depend on initial conditions …
positive steady-state value of that species does not depend on initial conditions …
Full classification of dynamics for one-dimensional continuous-time markov chains with polynomial transition rates
This paper provides a full classification of the dynamics for continuous-time Markov chains
(CTMCs) on the nonnegative integers with polynomial transition rate functions and without …
(CTMCs) on the nonnegative integers with polynomial transition rate functions and without …
Global stability of first order endotactic reaction systems
C Xu - arxiv preprint arxiv:2409.01598, 2024 - arxiv.org
Reaction networks are a general framework widely used in modelling diverse phenomena in
different science disciplines. The dynamical process of a reaction network endowed with …
different science disciplines. The dynamical process of a reaction network endowed with …
On the sum of chemical reactions
It is standard in chemistry to represent a sequence of reactions by a single overall reaction,
often called a complex reaction in contrast to an elementary reaction. Photosynthesis is an …
often called a complex reaction in contrast to an elementary reaction. Photosynthesis is an …
Non-explosivity of endotactic stochastic reaction systems
C Xu - arxiv preprint arxiv:2409.05340, 2024 - arxiv.org
Reaction networks have been widely used as generic models in diverse areas of applied
science, such as biology, chemistry, ecology, epidemiology, and computer science …
science, such as biology, chemistry, ecology, epidemiology, and computer science …
Structural classification of continuous time Markov chains with applications
This paper is motivated by examples from stochastic reaction network theory. The Q-matrix
of a stochastic reaction network can be derived from the reaction graph, an edge-labelled …
of a stochastic reaction network can be derived from the reaction graph, an edge-labelled …
A sequential direct hybrid algorithm to compute stationary distribution of continuous-time Markov chain
M Bražėnas, E Valakevičius - Expert Systems with Applications, 2022 - Elsevier
In modeling a wide variety of problems of the real world using Markov processes, we usually
get large sparse Markov chains. In the case of non-Markovian process, the behavior of a …
get large sparse Markov chains. In the case of non-Markovian process, the behavior of a …
Fiber decomposition of deterministic reaction networks with applications
Deterministic reaction networks (RNs) are tools to model diverse biological phenomena
characterized by particle systems, when there are abundant number of particles. Examples …
characterized by particle systems, when there are abundant number of particles. Examples …