TY - GEN
T1 - Selective spiking in neuronal populations
AU - Nandi, Anirban
AU - Schattler, Heinz
AU - Ching, Shinung
N1 - Publisher Copyright:
© 2017 American Automatic Control Council (AACC).
PY - 2017/6/29
Y1 - 2017/6/29
N2 - The use of extrinsic stimulation to control activity in neuronal networks i.e., neurocontrol, is a key problem in control engineering and neuroscience. Here, we study the general problem of selective spiking in a population of neurons. The goal is to use an input stimulus in order to induce a spike in a specific neuron of a population while keeping all others suppressed. We formulate a strict version of this problem for the class of Integrate-and-Fire neuron models, which amounts to an optimal control problem with state constraints. While possible to solve in low dimensions, the strict problem is harder to handle for larger networks. Thus, we relax the problem via regularization and derive the ensuing optimal controls for selective spiking. The properties of the solution are highlighted through several examples. The results provide a tractable, scalable solution for a baseline neurocontrol problem.
AB - The use of extrinsic stimulation to control activity in neuronal networks i.e., neurocontrol, is a key problem in control engineering and neuroscience. Here, we study the general problem of selective spiking in a population of neurons. The goal is to use an input stimulus in order to induce a spike in a specific neuron of a population while keeping all others suppressed. We formulate a strict version of this problem for the class of Integrate-and-Fire neuron models, which amounts to an optimal control problem with state constraints. While possible to solve in low dimensions, the strict problem is harder to handle for larger networks. Thus, we relax the problem via regularization and derive the ensuing optimal controls for selective spiking. The properties of the solution are highlighted through several examples. The results provide a tractable, scalable solution for a baseline neurocontrol problem.
UR - http://www.scopus.com/inward/record.url?scp=85026995506&partnerID=8YFLogxK
U2 - 10.23919/ACC.2017.7963377
DO - 10.23919/ACC.2017.7963377
M3 - Conference contribution
AN - SCOPUS:85026995506
T3 - Proceedings of the American Control Conference
SP - 2811
EP - 2816
BT - 2017 American Control Conference, ACC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 American Control Conference, ACC 2017
Y2 - 24 May 2017 through 26 May 2017
ER -