Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Optimal network interventions to control the
spreading of oscillations
A. Allibhoy, F. Celi, F. Pasqualetti, J. Cortés
IEEE Open Journal of Control Systems 1 (2022), 141-151
Abstract
Oscillations are a prominent feature of neuronal
activity and are associated with a variety of
phenomena in brain tissues, both healthy and
unhealthy. Characterizing how oscillations spread
through regions of the brain is of particular
interest when studying countermeasures to
pathological brain synchronizations. This paper
models neuronal activity using networks of
interconnected excitatory-inhibitory pairs with
linear threshold dynamics, together with strategies
to design networks with desired robustness
properties. In particular, we develop a dynamical
description of the brain through a network where
each node, or state, models the firing rate of a
region of neurons and where edges capture the
structural connectivity between the regions. We
characterize the presence of oscillations and study
conditions on their spreading. We also discuss
strategies to optimally design networks which are
robust to oscillation spreading. We demonstrate our
results with numerical simulations.
pdf
Mechanical and Aerospace Engineering,
University of California, San Diego
9500 Gilman Dr,
La Jolla, California, 92093-0411
Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
Skype id:
jorgilliyo