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dc.contributor.author
Pérez Millán, Mercedes Soledad  
dc.contributor.author
Dickenstein, Alicia Marcela  
dc.date.available
2019-11-12T14:00:10Z  
dc.date.issued
2018-06  
dc.identifier.citation
Pérez Millán, Mercedes Soledad; Dickenstein, Alicia Marcela; The structure of MESSI biological systems; Society for Industrial and Applied Mathematics; Siam Journal On Applied Dynamical Systems; 17; 2; 6-2018; 1650-1682  
dc.identifier.issn
1536-0040  
dc.identifier.uri
http://hdl.handle.net/11336/88588  
dc.description.abstract
We introduce a general framework for biological systems, called MESSI systems, that describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and we prove general results based on the network structure. Many posttranslational modification networks are MESSI systems. Examples are the motifs in [E. Feliu and C. Wiuf, J. R. Soc. Interface, 9 (2012), pp. 1224-1232], sequential distributive and processive multisite phosphorylation networks, most of the examples in [D. Angeli, P. De Leenher, and E. Sontag, Math. Biosci., 210 (2007), pp. 598-618], phosphorylation cascades, two component systems as in [V. B. Kothamachu et al., J. R. Soc. Interface, 12 (2015), 20150234], the bacterial EnvZ/OmpR network in [G. Shinar and M. Feinberg, Science, 327 (2010), pp. 1389-1391], and all linear networks. We show that, under mass-action kinetics, MESSI systems are conservative. We simplify the study of steady states of these systems by explicit elimination of intermediate complexes, and we give conditions to ensure an explicit rational parametrization of the variety of steady states (inspired by [E. Feliu and C. Wiuf, J. R. Soc. Interface, 10 (2013), 20130484, J. Math. Biol., 66 (2013), pp. 281-310; M. Thomson and J. Gunawardena, J. Theoret. Biol., 261 (2009), pp. 626-636]). We define an important subclass of MESSI systems with toric steady states [M. Pérez Millán et al., Bull. Math. Biol., 74 (2012), pp. 1027-1065], and we give for MESSI systems with toric steady states an easy algorithm to determine the capacity for multistationarity. In this case, the algorithm provides rate constants for which multistationarity takes place, based on the theory of oriented matroids.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Society for Industrial and Applied Mathematics  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
BIOLOGICAL NETWORKS  
dc.subject
STEADY STATES  
dc.subject
MESSI SYSTEMS  
dc.subject
MULTISTATIONARITY  
dc.subject.classification
Otras Matemáticas  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The structure of MESSI biological systems  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-10-21T19:05:29Z  
dc.journal.volume
17  
dc.journal.number
2  
dc.journal.pagination
1650-1682  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Filadelfia  
dc.description.fil
Fil: Pérez Millán, Mercedes Soledad. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina  
dc.description.fil
Fil: Dickenstein, Alicia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina  
dc.journal.title
Siam Journal On Applied Dynamical Systems  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://epubs.siam.org/doi/10.1137/17M1113722  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1137/17M1113722