// Script to calculate the time integral for a single synaptic event given // tau1, tau2, and gmax. function calc_syn_integ(gmax, tau1, tau2) float gmax, tau1, tau2 float pktime = ({log {tau1}}-{log {tau2}})*{tau1}*{tau2}/({tau1}-{tau2}) float pkval = ({gmax} / ({tau1} - {tau2})) \ * ({exp {-{pktime} / {tau1}}} - {exp {-{pktime} / {tau2}}}) float A = gmax/{abs {pkval}} // Now have all components of synapse alpha function: // gsyn = ((A * gmax)/(tau1-tau2)) * (exp(-t/tau1) - exp(-t/tau2)) // Can now integrate alpha function over time. Stop integration when // time reaches 5*tau2, where amplitude < 1% of peak. float syninteg = ({A} * {gmax}) / ({tau1} - {tau2}) \ * (({tau2} * {exp -5}) - ({tau1} * {exp {-5*{tau2}/{tau1}}}) \ - {tau2} + {tau1}) return {syninteg} end