Stability and robustness of asymptotic autocatalytic systems
Author
dc.contributor.author
Yun Cárcamo, Sohyoun
Author
dc.contributor.author
Carrasco Machado, Sebastián
Author
dc.contributor.author
Rogan Castillo, José
Author
dc.contributor.author
Correa Burrows, Paulina
Author
dc.contributor.author
Valdivia Hepp, Juan Alejandro
Admission date
dc.date.accessioned
2021-03-28T22:19:20Z
Available date
dc.date.available
2021-03-28T22:19:20Z
Publication date
dc.date.issued
2020
Cita de ítem
dc.identifier.citation
Scientific Reports. (2020) 10:15498
es_ES
Identifier
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10.1038/s41598-020-72580-9
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/178834
Abstract
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Here, we address the consequences of the extension in the space of a simple model of a system that is closed to efficient causation: the (M,R)-system model. To do so, we use a diffusion term to describe the collective motion of the nutrients' concentration across the compartmentalized space that defines the organism. We show that the non-trivial stable steady state remains despite such generalization, as long as the system is small enough to deal with the transport of the precursors to feed the entire protocell and dispose of a sufficient concentration of it in its surroundings. Such consideration explains the emergence of a bifurcation with two parameters that we characterize. Finally, we show that the robustness of the system under catastrophic losses of catalysts also remains, preserving the original's model character.
es_ES
Patrocinador
dc.description.sponsorship
CONICYT-PCHA/Doctorado Nacional
2016-21161403
Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
CONICYT FONDECYT
1190662
1190703
Centro de Investigación en Alimentos para el Bienestar en el Ciclo Vital (ABC Vital), INTA-Universidad de Chile