The smallest multistationary mass-preserving chemical reaction network Conference Paper

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. 2008 Springer-Verlag Berlin Heidelberg.

authors

• Shiu, Anne

published proceedings

• ALGEBRAIC BIOLOGY, PROCEEDINGS

author list (cited authors)

• Shiu, A.

citation count

• 11

complete list of authors

• Shiu, Anne

publication date

• October 2008

publisher

• Springer Nature  Publisher

published in

• Lecture Notes in Computer Science  Journal

keywords

• Bistability
• Chemical Reaction Network

Digital Object Identifier (DOI)

• 10.1007/978-3-540-85101-1_13

International Standard Book Number (ISBN) 10

• 3540851003

International Standard Book Number (ISBN) 13

• 978-3-540-85100-4

start page

• 172

end page

• 184

volume

• 5147

URL

• http://dx.doi.org/10.1007/978-3-540-85101-1_13