TY - GEN
T1 - Non-negative inputs for underactuated control of spiking in coupled integrate-and-fire neurons
AU - Nandi, Anirban
AU - Ritt, Jason T.
AU - Ching, Shinung
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84931846724&partnerID=8YFLogxK
U2 - 10.1109/CDC.2014.7039857
DO - 10.1109/CDC.2014.7039857
M3 - Conference contribution
AN - SCOPUS:84931846724
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 3041
EP - 3046
BT - 53rd IEEE Conference on Decision and Control,CDC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Y2 - 15 December 2014 through 17 December 2014
ER -