Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Hierarchical selective recruitment in linear-threshold brain networks.
Part II: inter-layer dynamics and top-down recruitment
E. Nozari, J. Cortés
IEEE Transactions on Automatic Control 66 (3) (2021), 965-980
Abstract
Goal-driven selective attention (GDSA) is a remarkable function that allows the complex
dynamical networks of the brain to support coherent perception and
cognition. Part I of this two-part paper proposes
a new control-theoretic framework, termed hierarchical selective
recruitment (HSR), to rigorously explain the emergence of GDSA from
the brain's network structure and dynamics. This part completes the
development of HSR by deriving conditions on the joint structure of
the hierarchical subnetworks that guarantee top-down recruitment of
the task-relevant part of each subnetwork by the subnetwork at the
layer immediately above, while inhibiting the activity of
task-irrelevant subnetworks at all the hierarchical layers. To
further verify the merit and applicability of this framework, we
carry out a comprehensive case study of selective listening in
rodents and show that a small network with HSR-based structure and
minimal size can explain the data with remarkable accuracy while
satisfying the theoretical requirements of HSR. Our technical
approach relies on the theory of switched systems and provides a
novel converse Lyapunov theorem for state-dependent switched affine
systems that is of independent interest.
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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