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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
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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
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