Appendix

This appendix lists a Simnon program to simulate the author's proposed burst generator model in Section 4.5.3. The file, RINH1.T contains the parameters and ICs used in generating Figure 4.5-9.

Continuous system BURSTNM1"' V. 3/16/99 " 4 Neuron RI model by RBN.

STATE v1 v2 v3 v4 p1 p2 p3 p4 p5 p6 va

DER dv1 dv2 dv3 dv4 dp1 dp2 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 RPFM RI PAIR:

dv1 = -c1*v1 + c1*E1 - z 1 " Output Neuron 1. RPFM model.

z1 = y1*phi1/tau u1 = y1*Do1/tau dv2 = -c2*v2 + c2*E2 - z2 " Output Neuron 2. RPFM model w2 = IF v2 > phi2 THEN 1 ELSE 0

" THE INHIBITORY INTERNEURONS:

dv3 = -c3*v3 + c3*e3 - z3 " Ihibitory interneuron 3.

z3 = y3*phi3/tau u3 = y3*Do3/tau u3d = DELAY (u3, D)

dv4 = -c4*v4 + c4*e4 - z4 " Inhibitory interneuron 4. w4 = IF v4 > phi 4 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:

Synapse 1 ballistic filter (ipsp) Synapse 2 ballistic filter. q2 is output. Delayed FB around N1

" Inputs to RPFM neurons

E1 = p1 - p3 " epsp - ipsp input to output neuron 1.

E2 = p2 - p4 " epsp - ipsp input to output neuron 2.

E3 = p6 " epsp input to inhibitory interneuron 3

E4 = p5 " epsp input to inhibitory interneuron 4.

" PARAMETERS (Adjusted to get 180o phase between N1 and N1 bursts)

fo:.025

tau:0.001

a1:1

a2:1

a4:5

a5:5

c2:1

c3:1

c4:1

phia:1

phi1:0.5

phi2:0.7

phi3:2.1

phi4:0.2

Do1:2

Do2:1

Do4:3

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