## Set file for 4p-r.ode on Fri Aug 9 09:56:10 2019 13 Number of equations and auxiliaries 74 Number of parameters # Numerical stuff 1 nout 40 nullcline mesh 8 Qual RK 10000 total 0.1 DeltaT 0 T0 0 Transient 5000000000000 Bound 1e-12 DtMin 1 DtMax 0.001 Tolerance 0.001 Abs. Tolerance 0 Max Delay 100 Eigenvector iterates 0.001 Eigenvector tolerance 0.001 Newton tolerance 0 Poincare plane 1e-05 Boundary value tolerance 1e-05 Boundary value epsilon 20 Boundary value iterates 0 Poincare None 1 Poincare variable 1 Poincare sign 0 Stop on Section 0 Delay flag 10000 Current time 10000 Last Time 1 MyStart 1 INFLAG # Delays 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 # Bndry conds 0 0 0 0 0 0 0 0 0 0 0 0 0 # Old ICs -60.92469196971344 V1 0.9094975617789957 H1 0.002234894152784431 S1 0.03491841656270595 S1_SLOW -29.62133083643129 V2 0.07257108853402237 H2 0.9146497439779903 S2 -28.90626071900347 V3 0.3603539879189934 H3 0.9170712758476277 S3 -60.91028214027403 V4 0.9109445863746505 H4 1.643516690490249e-26 S4 # Ending ICs -23.37333021078793 V1 0.2964082055969314 H1 0.9245167922457604 S1 0.994923095114163 S1_SLOW -53.30128866429214 V2 0.5382931478982601 H2 0.02517836849904986 S2 -73.51636609484889 V3 0.9177374939754086 H3 3.331253040058667e-05 S3 -27.21623308723813 V4 0.247876627369808 H4 0.9256700956366279 S4 # Parameters 21 c 10 gnap 2.8 gl 60 gsyni 10 gsyne 5 gnap_weak 3 gk 50 Ena -65 El -80 Esyn 0 EsynE -85 Ek -40 thetam -6 sigmam -47 thetah 6 sigmah -40.25 thetah_p -30 thetamk -4 sigmamk 600 epsilon_i 700 epsilon_e 1500 epsilon_p 300 epsilon_p2 -35 thetatau -35 thetasyn -3 sigmasyn -0.5 sigsyn_p2 -30 thetsyn_p2 -3 sigsyn_p -35 thetsyn_p 1 pdscale 1 rtndscale 0 pd_i 0.15 pd_e 0 pd_p 0.8 pd_p2 0.3 rtnd_i 0.5 rtnd_e 0 rtnd_p 0 rtnd_p2 0.03 rtnd_ie 0 od_i 0 od_e 0 od_p 0 od_p2 0 od_ie 1 vago 1 gks_i 1 gks_e 0.3 gks_p 0.5 gks_p2 10 thr 0 conc 1 kalth_i 1 kalth_e 0 kalth_p 0 kalth_p2 0 ks 0.035 b_ei 0.0003 b_ep 0.03 b_ie 0.03 b_ip 0.05 b_pp2 0.0395 b_p2p 0.25 a_pe 0.15 a_ip2 0.75 dscale 1 delta_i 1 delta_e 1 delta_p 1 delta_p2 1 alpha 0.08 beta 0.005 beta_slow # Graphics 0.7071097251469876 rm -0.4999999999826661 rm 0.4999958366025516 rm 0.7071038372138505 rm 0.5000041633974482 rm -0.4999999999826661 rm 0 rm 0.7071038372138505 rm 0.7071097251469876 rm 0 1 1 1 0 0 5 1 1 9 0 8 1 1 7 0 11 1 1 5 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 -1000 1000 0 0 3DFlag 1 Timeflag 0 Colorflag 0 Type 1 color scale 0 minscale 10000 xmax 0 xmin 20 ymax -80 ymin 12 zmax -12 zmin 5000 0.0002 -30 0.02 0 0.08333333333333333 45 Theta 45 Phi 0 xshft 0 yshft 0 zshft 0 xlo -80 ylo 0 -80 10000 xhi 20 yhi 10000 20 # Transpose variables etc V1 2 n columns 1 n rows 1 row skip 1 col skip 1 row 0 # Coupling stuff for H funs 0 0 0 0 0 0 0 0 0 0 0 0 0 # Array plot stuff 1 NCols 0 Row 1 50 NRows 8 RowSkip 0 Zmin 1 Zmax # Torus information 0 Torus flag 1=ON 6.283185307179586 Torus period # Range information c -1 eq-range stab col 0 shoot flag 1=on 10 eq-range steps 0 eq_range low 1 eq_range high V1 V1 20 Range steps 0 Cycle color 1=on 1 Reset data 1=on 1 Use old I.C.s 1=yes 0 Par1 low 0 Par2 low 1 Par1 high 1 Par2 high c 0 BVP side 0 color cycle flag 1=on 10 BVP range steps 0 BVP range low 1 BVP range high RHS etc ... dV1/dT=(-INAP(V1,H1,GNAP)-IK(V1)-IL(V1,GL)-IAPP(V1,C_I)-ISYN(V1,S2,B_EI,KALTH_I)-IKS(V1,GKS_I)-W_I*DELTA_I*DSCALE)/C dH1/dT=(HINF(V1,THETAH,SIGMAH)-H1)/TAUH(V1,EPSILON_I,THETATAU) dS1/dT=ALPHA*(1-S1)*SINF(V1,THETASYN,SIGMASYN)-BETA*S1 dS1_SLOW/dT=ALPHA*(1-S1_SLOW)*SINF(V1,THETASYN,SIGMASYN)-BETA_SLOW*S1_SLOW dV2/dT=(-INAP(V2,H2,GNAP_WEAK)-IK(V2)-IL(V2,GL)-IAPP(V2,C_E)-ISYN(V2,S1,B_IE,KALTH_E)-ISYNE(V2,S1_SLOW,A_IE*VAGO)-ISYNE(V2,S3,A_PE)-IKS(V2,GKS_E)-W_E*DELTA_E*DSCALE)/C dH2/dT=(HINF(V2,THETAH,SIGMAH)-H2)/TAUH(V2,EPSILON_E,THETATAU) dS2/dT=ALPHA*(1-S2)*SINF(V2,THETASYN,SIGMASYN)-BETA*S2 dV3/dT=(-INAP(V3,H3,GNAP_WEAK)-IK(V3)-IL(V3,GL)-IAPP(V3,C_P)-ISYN(V3,S2,B_EP,KALTH_P)-ISYN(V3,S1_SLOW,B_IP*VAGO,KALTH_P)-ISYN(V3,S4,B_P2P,KALTH_P)-IKS(V3,GKS_P)-W_P*DELTA_P*DSCALE)/C dH3/dT=(HINF(V3,THETAH_P,SIGMAH)-H3)/TAUH(V3,EPSILON_P,THETATAU) dS3/dT=ALPHA*(1-S3)*SINF(V3,THETSYN_P,SIGSYN_P)-BETA*S3 dV4/dT=(-INAP(V4,H4,GNAP_WEAK)-IK(V4)-IL(V4,GL)-IAPP(V4,C_P2)-ISYN(V4,S3,B_PP2,KALTH_P2)-ISYNE(V1,S1,A_IP2)-IKS(V4,GKS_P2)-W_P2*DELTA_P2*DSCALE)/C dH4/dT=(HINF(V4,THETAH,SIGMAH)-H4)/TAUH(V4,EPSILON_P2,THETATAU) dS4/dT=ALPHA*(1-S4)*SINF(V4,THETSYN_P2,SIGSYN_P2)-BETA*S4 where ... C_I = PDSCALE*PD_I+RTNDSCALE*RTND_I+OD_I C_E = PDSCALE*PD_E+RTNDSCALE*RTND_E+OD_E C_P = PDSCALE*PD_P+RTNDSCALE*RTND_P+OD_P C_P2 = PDSCALE*PD_P2+RTNDSCALE*RTND_P2+OD_P2 A_IE = (RTND_IE*RTNDSCALE) MKS = 1/(1+EXP(-(CONC-THR)/2)) User-defined functions: HINF(V,THET,SIG) = 1/(1+EXP((V-THET)/SIG)) SINF(V,THETA,SIGMA) = 1/(1+EXP((V-THETA)/SIGMA)) TAUH(V,EP,THETA) = EP/(COSH((V-THETA)/SIGMAH/2)) MINF(V) = 1/(1+EXP((V-THETAM)/SIGMAM)) MK(V) = 1/(1+EXP((V-THETAMK)/SIGMAMK)) ISYN(V,S,B,KALTH) = GSYNI*B*S*(1+KS*KALTH)*(V-ESYN) ISYNE(V,S,A) = GSYNE*A*S*(V-ESYNE) INAP(V,H,G) = G*MINF(V)*H*(V-ENA) IL(V,G) = G*(V-EL) IAPP(V,C) = C*V IKS(V,G) = G*MKS*(V-EK) IK(V) = GK*MK(V)^4*(V-EK)