%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Loss of phase-locking in non-weakly coupled % inhibitory networks of type-I model neurons % % Journal of Computational Neuroscince, 26(2): 303-320. % Myongkeun Oh and Victor Matveev % Dept Math Sci, NJIT % % V-nullcline routine % April 12, 2009 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% function wlist = Vnullcline(interval, s) global gbarsyn; VK=-84; VL=-60; VCa=120; C=2; phi=0.6667; V1=-12; V2=18; V3=-8; V4=6.0; gCa=4.0; gK=8.0; gL=2.0; Cinv=1.0/C; einh=-80; slope=4; zap=14; wsol = 0; wlist = []; for V = interval minf=0.5*(1+tanh((V-V1)/V2)); Vprime = @(x) Cinv*(-gCa*minf*(V-VCa) - gK*x*(V-VK) - gL*(V-VL) - gbarsyn*s*(V-einh) + zap); wsol = fzero(Vprime, wsol); wlist = [wlist, wsol]; end;