Siphons in chemical reaction networks. Academic Article

abstract

• Siphons in a chemical reaction system are subsets of the species that have the potential of being absent in a steady state. We present a characterization of minimal siphons in terms of primary decomposition of binomial ideals, we explore the underlying geometry, and we demonstrate the effective computation of siphons using computer algebra software. This leads to a new method for determining whether given initial concentrations allow for various boundary steady states.

authors

• Shiu, Anne

published proceedings

• Bull Math Biol

author list (cited authors)

• Shiu, A., & Sturmfels, B.

citation count

• 31

complete list of authors

• Shiu, Anne||Sturmfels, Bernd

publication date

• August 2010

publisher

• Springer Nature  Publisher

published in

• Bulletin of Mathematical Biology  Journal

keywords

• Binomial Distribution
• Computer Simulation
• Metabolic Networks And Pathways
• Models, Chemical
• Software
• Systems Biology

PubMed Central ID

• 20091352

Digital Object Identifier (DOI)

• 10.1007/s11538-010-9502-y

start page

• 1448

end page

• 1463

volume

• 72

issue

• 6

URL

• http://dx.doi.org/10.1007/s11538-010-9502-y