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- David F. Anderson, Gheorghe Craciun, T. G. Kurtz
- Bulletin of mathematical biology
- 2010

We consider stochastically modeled chemical reaction systems with mass-action kinetics and prove that a product-form stationary distribution exists for each closed, irreducible subset of the stateâ€¦ (More)

For mass action kinetics, the capacity for multiple equilibria in an isothermal homogeneous continuous flow stirred tank reactor is determined by the structure of the underlying network of chemicalâ€¦ (More)

We extend previous work on injectivity in chemical reaction networks to general interaction networks. Matrixand graph-theoretic conditions for injectivity of these systems are presented. A particularâ€¦ (More)

- Gheorghe Craciun, Alicia Dickenstein, Anne Shiu, Bernd Sturmfels
- J. Symb. Comput.
- 2009

Toric dynamical systems are known as complex balancing mass action systems in the mathematical chemistry literature, where many of their remarkable properties have been established. They include asâ€¦ (More)

- Gheorghe Craciun, Martin Feinberg
- SIAM Journal of Applied Mathematics
- 2005

The capacity for multiple equilibria in an isothermal homogeneous continuous flow stirred tank reactor is determined by the reaction network. Examples show that there is a very delicate relationshipâ€¦ (More)

- Gheorghe Craciun, Martin Feinberg
- SIAM Journal of Applied Mathematics
- 2006

For mass action kinetics, the capacity for multiple equilibria in an isothermal homogeneous continuous flow stirred tank reactor is determined by the structure of the underlying network of chemicalâ€¦ (More)

- Gheorghe Craciun, Yangzhong Tang, Martin Feinberg
- Proceedings of the National Academy of Sciencesâ€¦
- 2006

Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. There is, in fact, a great deal of subtlety in theâ€¦ (More)

- Murad Banaji, Gheorghe Craciun
- Advances in applied mathematics
- 2010

In this paper we discuss the question of how to decide when a general chemical reaction system is incapable of admitting multiple equilibria, regardless of parameter values such as reaction rateâ€¦ (More)

- Avner Friedman, Gheorghe Craciun
- SIAM J. Math. Analysis
- 2006

Linear reaction-hyperbolic equations arise in the transport of neurofilaments and membrane-bound organelles in axons. The profile of the solution was shown by simulations to be approximately that ofâ€¦ (More)

- Gheorghe Craciun, Martin Feinberg
- SIAM Journal of Applied Mathematics
- 2010

In two earlier articles, we provided sufficient conditions on (mass action) reaction network structure for the preclusion of multiple positive steady states in the context of what chemical engineersâ€¦ (More)