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Prevalence of multistationarity and absolute concentration robustness in reaction networks
Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen +1
For reaction networks arising in systems biology, the capacity for two or more steady states, that is, multistationarity, is an important property that underlies biochemical switch…
Transition graph decomposition for complex balanced reaction networks with non-mass-action kinetics
Daniele Cappelletti, Badal Joshi
Reaction networks are widely used models to describe biochemical processes. Stochastic fluctuations in the counts of biological macromolecules have amplified consequences due to th…
Graphically balanced equilibria and stationary measures of reaction networks
Daniele Cappelletti, Badal Joshi
The graph-related symmetries of a reaction network give rise to certain special equilibria (such as complex balanced equilibria) in deterministic models of dynamics of the reaction…
A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced
Badal Joshi
Certain chemical reaction networks (CRNs) when modeled as a deterministic dynamical system taken with mass-action kinetics have the property of reaction network detailed balance (R…
Order of magnitude time-reversible Markov chains and characterization of clustering processes
Badal Joshi
We introduce the notion of order of magnitude reversibility (OM-reversibility) in Markov chains that are parametrized by a positive parameter $\ep$. OM-reversibility is a weaker co…