Manuscript Topics

Reaction networks are often used in systems biology as a framework for modeling important biochemical processes like intracellular signaling, cellular differentiation, or apoptosis. Mathematical models of these processes are usually large and nonlinear, and their analysis is further complicated by parameter uncertainties. These difficulties are present even for networks with relatively simple structure. On the other hand, an extensive body of recent deterministic and stochastic work has shown that structural properties of reaction networks can often predict dynamical behaviors (like persistence, local and global stability, mulltistationarity, oscillation, etc.), and also parameter regimes that allow these behaviors.

This special issue intends to focus on the mathematical analysis of reaction networks. We invite both deterministic and stochastic approaches, and both theoretical developments and discussions of specific systems with biological relevance. Potential topics include but are not limited to:

• Connections between structure and dynamics
• Multistationarity and biochemical switching
• Periodicity
• Global stability
• Stationary distributions
• Sensitivity analysis
• Persistence and extinction
• Relationship between ODE and stochastic models
• Computational implementation of results

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