TY - JOUR
T1 - Synchronization of “light-sensitive” Hindmarsh–Rose neurons
AU - Castanedo-Guerra, I.
AU - Steur, E.
AU - Nijmeijer, H.
PY - 2018/4/1
Y1 - 2018/4/1
N2 - The suprachiasmatic nucleus is a network of synchronized neurons whose electrical activity follows a 24 h cycle. The synchronization phenomenon (among these neurons) is not completely understood. In this work we study, via experiments and numerical simulations, the phenomenon in which the synchronization threshold changes under the influence of an external (bifurcation) parameter in coupled Hindmarsh–Rose neurons. This parameter “shapes” the activity of the individual neurons the same way as some neurons in the brain react to light. We corroborate this experimental finding with numerical simulations by quantifying the amount of synchronization using Pearson's correlation coefficient. In order to address the local stability problem of the synchronous state, Floquet theory is applied in the case where the dynamic systems show continuous periodic solutions. These results show how the sufficient coupling strength for synchronization between these neurons is affected by an external cue (e.g. light).
AB - The suprachiasmatic nucleus is a network of synchronized neurons whose electrical activity follows a 24 h cycle. The synchronization phenomenon (among these neurons) is not completely understood. In this work we study, via experiments and numerical simulations, the phenomenon in which the synchronization threshold changes under the influence of an external (bifurcation) parameter in coupled Hindmarsh–Rose neurons. This parameter “shapes” the activity of the individual neurons the same way as some neurons in the brain react to light. We corroborate this experimental finding with numerical simulations by quantifying the amount of synchronization using Pearson's correlation coefficient. In order to address the local stability problem of the synchronous state, Floquet theory is applied in the case where the dynamic systems show continuous periodic solutions. These results show how the sufficient coupling strength for synchronization between these neurons is affected by an external cue (e.g. light).
KW - Correlation coefficient
KW - Electronic oscillator
KW - External parameter
KW - Synchronization
UR - http://www.scopus.com/inward/record.url?scp=85042661740&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2017.10.003
DO - 10.1016/j.cnsns.2017.10.003
M3 - Article
AN - SCOPUS:85042661740
SN - 1007-5704
VL - 57
SP - 322
EP - 330
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
ER -