Name
Abstract | ||
|---|---|---|
Biochemical models that exhibit bistability are of interest to biologists and mathematicians alike. Chemical reaction network theory can provide sufficient conditions for the existence of bistability, and on the other hand can rule out the possibility of multiple steady states. Understanding small networks is important because the existence of multiple steady states in a subnetwork of a biochemical model can sometimes be lifted to establish multistationarity in the larger network. This paper establishes the smallest reversible, mass-preserving network that admits bistability and determines the semi-algebraic set of parameters for which more than one steady state exists. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/978-3-540-85101-1_13 | AB |
Keywords | Field | DocType |
sufficient condition,reaction network,larger network,chemical reaction network theory,mass-preserving network,steady state,small network,biochemical model,smallest multistationary mass-preserving chemical,exhibit bistability,multiple steady state,bistability | Discrete mathematics,Bistability,Chemical reaction network theory,Chemical reaction,Steady state,Subnetwork,Mathematics | Conference |
Volume | ISSN | Citations |
5147 | 0302-9743 | 3 |
PageRank | References | Authors |
0.63 | 4 | 1 |