Wlf

The Simnon program used to simulate the four-neuron burst generator, RING4.t, is listed below:

Continuous system RING4 " V. 3/21/99

" A Basic 4 Neuron RING model with NFB. 1 input to N1. " Uses IPFM neurons and single TC synaptic BFs. System unstable for " hi gain; does burst oscs, but not 2-phase.

STATE v1 v2 v3 v4 p1 p3 p4 p5 p6 va

DER dv1 dv2 dv3 dv4 dp1 dp3 dp4 dp5 dp6 dva

TIME t

" IPFM VFCa TO GENERATE INPUT SPIKES: dva = Ea - za wa = IF va > phia THEN 1 ELSE 0 sa = DELAY (wa, tau) xa = wa - sa ya = IF xa > 0 THEN xa ELSE 0 za = ya*phia/tau ua = ya*Doa/tau

" THE IPFM SGLs:

w1 = IF v1 > phi1 THEN 1 ELSE 0 s 1 = DELAY (w1, tau) x1 = w1 - s1

y1 = IF x1 > 0 THEN x1 ELSE 0 z1 = y1*phi1/tau u1 = y1*Do1/tau dv2 = E2 - z2 " Interneuron 2.

w2 = IF v2 > phi2 THEN 1 ELSE 0 s2 = DELAY (w2, tau) x2 = w2 - s2

y2 = IF x2 > 0 THEN x2 ELSE 0 z2 = y2*phi2/tau u2 = y2*Do2/tau dv3 = E3 - z3 " Interneuron 3.

w3 = IF v3 > phi3 THEN 1 ELSE 0 s3 = DELAY (w3, tau) x3 = w3 - s3

y3 = IF x3 > 0 THEN x3 ELSE 0 z3 = y3*phi3/tau u3 = y3*Do3/tau dv4 = E4 - z4 " Inhibitory interneuron 4. w4 = IF v4 > phi4 THEN 1 ELSE 0 s4 = DELAY (w4, tau) x4 = w4 - s4

y4 = IF x4 > 0 THEN x4 ELSE 0 z4 = y4*phi4/tau u4 = y4*Do4/tau

" 1 TC SYNAPTIC BFs:

dp1 = -a1*p1 + a1*ua " Synapse 1 BF (epsp) . dc gain = 1

dp 3 = -a3*p3 + a3 *u1 dp4 = -a4*p4 + A4*u2 dp5 = -a5*p5 + a5*u3

dp6 = -a6*p6 + a6*u4 " Synapse 6 BF. Generates ipsp. " Inputs to IPFM neurons

E1 = p1 - p6 " epsp - ipsp input to neuron 1. E2 = p5 " epsp input to neuron 2.

E3 = p3 " epsp input to interneuron 3

E4 = p4 " epsp input to inhibitory interneuron 4.

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