Apr 29, 2024 · A dynamical system is monotone if there exists a partial ordering on the state space that is preserved as the system evolves forward in time. Often times these ...

Oct 31, 2024 · Our paper reviews some key concepts in chemical reaction network theory and mathematical epidemiology, and examines their intersection, with three goals.

Nov 8, 2024 · On the structural monotonicity of chemical reaction networks. In Proc. IEEE Conf. Decision and Control, San Diego, Dec. 2006, pages 7-12, 2006. IEEE. [PDF] ...

Mar 18, 2024 · Our findings reveal that the reduced models by PEA and QSSA may not preserve the thermodynamic structure of the original full model.

Nov 27, 2023 · The notion of the cocycle was the missing piece in. Schnakenberg's analysis to understand the finite-time structure of chemical forces, beyond the steady state.

Feb 23, 2024 · This work explores a synchronization-like phenomenon induced by common noise for continuous-time Markov jump processes given by chemical reaction networks.

May 28, 2024 · For this model, we obtain well-posedness, positivity and global-in-time existence of solutions under some realistic structural conditions on the chemical ...

Oct 23, 2024 · However, by considering the monotonicity constraint on the outer polygon, no triangle can be constructed in the feasible regions, that is, no solution with ...

May 1, 2024 · We investigate a broad family of stochastically modeled reaction networks by looking at their stationary distributions.

Apr 11, 2024 · Chemists consider two molecules to be the same when they meet three basic criteria: being described by the same chemical formula; having the same structure.