Non-negative inputs for underactuated control of spiking in coupled integrate-and-fire neurons

Anirban Nandi, Jason T. Ritt, Shinung Ching

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

A rapidly growing area of research in neuroscience pertains to the use of external stimulation to manipulate the activity in ensembles of neurons. When such activity is modeled as the output of a dynamical system, the overall neurostimulation problem can be framed in the context of systems and control. Here, we present a particular form of control design for neurostimulation: the manipulation of spike timing with underactuated inputs. We first discuss formulations for spike sequence and pattern controllability, which relax the classical notions of controllability. Then, motivated by particular neurostimulation technologies, we discuss control design for achieving spike sequences and patterns with piecewise constant non-negative inputs in a model consisting of coupled integrate-and-fire neurons. The results provide the basis for a range of control theoretic studies related to manipulation of spiking dynamics in biophysical neuronal networks.

Original languageEnglish
Title of host publication53rd IEEE Conference on Decision and Control,CDC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3041-3046
Number of pages6
EditionFebruary
ISBN (Electronic)9781479977468
DOIs
StatePublished - 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: Dec 15 2014Dec 17 2014

Publication series

NameProceedings of the IEEE Conference on Decision and Control
NumberFebruary
Volume2015-February
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/TerritoryUnited States
CityLos Angeles
Period12/15/1412/17/14

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