Self-organized bistability and its possible relevance for brain dynamics
Buendía, Víctor
di Santo, Serena
Villegas, Pablo
Burioni, Raffaella
Muñoz García, Miguel Ángel
Self-organized bistability (SOB) is the counterpart of “self-organized criticality” (SOC), for systems tuning
themselves to the edge of bistability of a discontinuous phase transition, rather than to the critical point of a
continuous one. The equations defining the mathematical theory of SOB turn out to bear a strong resemblance
to a (Landau-Ginzburg) theory recently proposed to analyze the dynamics of the cerebral cortex. This theory
describes the neuronal activity of coupled mesoscopic patches of cortex, homeostatically regulated by short-term
synaptic plasticity. The theory for cortex dynamics entails, however, some significant differences with respect to
SOB, including the lack of a (bulk) conservation law, the absence of a perfect separation of timescales and, the
fact that in the former, but not in the second, there is a parameter that controls the overall system state (in blatant
contrast with the very idea of self-organization). Here, we scrutinize—by employing a combination of analytical
and computational tools—the analogies and differences between both theories and explore whether in some
limit SOB can play an important role to explain the emergence of scale-invariant neuronal avalanches observed
empirically in the cortex. We conclude that, actually, in the limit of infinitely slow synaptic dynamics, the two
theories become identical but the timescales required for the self-organization mechanism to be effective do
not seem to be biologically plausible. We discuss the key differences between self-organization mechanisms
with/without conservation and with/without infinitely separated timescales. In particular, we introduce the
concept of “self-organized collective oscillations” and scrutinize the implications of our findings in neuroscience,
shedding new light into the problems of scale invariance and oscillations in cortical dynamics.
2021-02-15T11:11:07Z
2021-02-15T11:11:07Z
2020-03-16
info:eu-repo/semantics/article
Buendía, V., di Santo, S., Villegas, P., Burioni, R., & Muñoz, M. A. (2020). Self-organized bistability and its possible relevance for brain dynamics. Physical Review Research, 2(1), 013318. [DOI: 10.1103/PhysRevResearch.2.013318]
http://hdl.handle.net/10481/66561
10.1103/PhysRevResearch.2.013318
eng
http://creativecommons.org/licenses/by/3.0/es/
info:eu-repo/semantics/openAccess
Atribución 3.0 España
Amer Physical Soc