//genesis
//Tabchannel implementation of conductances based on Traub et al. (2003): Fast rhythmic bursting can be induced in layer 2/3 cortical neurons by enhancing persistent Na+ conductance or by blocking BK channels.
float tab_xmin = -0.10
float tab_xmax = 0.05
int tab_xdivs = 149
float cai_min = 1.0
float cai_max = 300
int i
float x,dx,dx_h,XA,XB,Xinf,Xtau,YA,YB,Yinf,Ytau, ZA, ZB, Zinf, Ztau,dcai, cai
dx = (tab_xmax-tab_xmin)/tab_xdivs
dcai = (cai_max-cai_min)/tab_xdivs
// only used for proto channels
float GNa = 1
float GCa = 1
float GK = 1
float GH = 1
float ENa = 0.050
float ECa = 0.125
float EK = -0.09
float EH = -0.035
/* Transient Na conductance*/
create tabchannel T03_NaF
setfield T03_NaF Ek {ENa} Gbar {GNa} Ik 0 Gk 0 Xpower 3 Ypower 1 Zpower 0
call T03_NaF TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
call T03_NaF TABCREATE Y {tab_xdivs} {tab_xmin} {tab_xmax}
x = {tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
if ( x <= -0.032 )
Xtau = 0.0125e-3 + (0.007e-3 * {exp {(x + 0.030)/0.008}})
else
Xtau = 0.01e-3 + (0.0725e-3 * {exp {(-x - 0.030)/0.008}})
end
Xinf = 1/(1 + {exp {(-x - 0.038)/0.008}})
Ytau = 0.75e-3 + (5.75e-3/(1 + {exp {(x + 0.0335)/0.01}}))
Yinf = 1/(1 + {exp {(x + 0.0574)/0.007}})
setfield T03_NaF X_A->table[{i}] {Xtau}
setfield T03_NaF X_B->table[{i}] {Xinf}
setfield T03_NaF Y_A->table[{i}] {Ytau}
setfield T03_NaF Y_B->table[{i}] {Yinf}
x = x + dx
end
setfield T03_NaF X_A->calc_mode 1
setfield T03_NaF X_B->calc_mode 1
setfield T03_NaF Y_A->calc_mode 1
setfield T03_NaF Y_B->calc_mode 1
tweaktau T03_NaF X
tweaktau T03_NaF Y
call T03_NaF TABFILL X 3000 0
call T03_NaF TABFILL Y 3000 0
/* Persistant Na conductance*/
create tabchannel T03_NaP
setfield T03_NaP Ek {ENa} Gbar {GNa} Ik 0 Gk 0 Xpower 1 Ypower 0 Zpower 0
call T03_NaP TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
x = {tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
if ( x <= -0.027 )
Xtau = 0.025e-3 + (0.014e-3 * {exp {(x + 0.027)/0.01}})
else
Xtau = 0.02e-3 + (0.145e-3 * {exp {(-x - 0.027)/0.01}})
end
Xinf = 1/(1 + {exp {(-x - 0.035)/0.01}})
setfield T03_NaP X_A->table[{i}] {Xtau}
setfield T03_NaP X_B->table[{i}] {Xinf}
x = x + dx
end
setfield T03_NaP X_A->calc_mode 1
setfield T03_NaP X_B->calc_mode 1
tweaktau T03_NaP X
call T03_NaP TABFILL X 3000 0
/* Delayed rectifier potassium conductance*/
create tabchannel T03_KDr
setfield T03_KDr Ek {EK} Gbar {GK} Ik 0 Gk 0 Xpower 4 Ypower 0 Zpower 0
call T03_KDr TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
x = {tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
if ( x <= -0.010 )
Xtau = 0.75e-3 + (13.05e-3 * {exp {(x + 0.01)/0.01}})
else
Xtau = 0.75e-3 + (13.05e-3 * {exp {(-x - 0.01)/0.01}})
end
Xinf = 1/(1 + {exp {(-x - 0.0295)/0.01}})
setfield T03_KDr X_A->table[{i}] {Xtau}
setfield T03_KDr X_B->table[{i}] {Xinf}
x = x + dx
end
setfield T03_KDr X_A->calc_mode 1
setfield T03_KDr X_B->calc_mode 1
tweaktau T03_KDr X
call T03_KDr TABFILL X 3000 0
/* Transient A-type potassium conductance*/
create tabchannel T03_KA
setfield T03_KA Ek {EK} Gbar {GK} Ik 0 Gk 0 Xpower 4 Ypower 1 Zpower 0
call T03_KA TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
call T03_KA TABCREATE Y {tab_xdivs} {tab_xmin} {tab_xmax}
x = {tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
Xtau = 0.185e-3 + (0.5e-3/({exp {(x + 0.0358)/0.0197}} + {exp {(-x - 0.0797)/0.0127}}))
Xinf = 1/(1 + {exp {(-x - 0.060)/0.0085}})
if ( x <= -0.063 )
Ytau = 0.5e-3/({exp {(x + 0.046)/0.005}} + {exp {(-x - 0.238)/0.0375}})
else
Ytau= 9.5e-3
end
Yinf = 1/(1 + {exp {(x + 0.078)/0.006}})
setfield T03_KA X_A->table[{i}] {Xtau}
setfield T03_KA X_B->table[{i}] {Xinf}
setfield T03_KA Y_A->table[{i}] {Ytau}
setfield T03_KA Y_B->table[{i}] {Yinf}
x = x + dx
end
setfield T03_KA X_A->calc_mode 1
setfield T03_KA X_B->calc_mode 1
setfield T03_KA Y_A->calc_mode 1
setfield T03_KA Y_B->calc_mode 1
tweaktau T03_KA X
tweaktau T03_KA Y
call T03_KA TABFILL X 3000 0
call T03_KA TABFILL Y 3000 0
/* K2-type potassium conductance*/
create tabchannel T03_K2
setfield T03_K2 Ek {EK} Gbar {GK} Ik 0 Gk 0 Xpower 1 Ypower 1 Zpower 0
call T03_K2 TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
call T03_K2 TABCREATE Y {tab_xdivs} {tab_xmin} {tab_xmax}
x = {tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
Xtau = 4.95e-3 + (0.5e-3/({exp {(x + 0.081)/0.0256}} + {exp {(-x - 0.132)/0.018}}))
Xinf = 1/(1 + {exp {(-x - 0.010)/0.017}})
Ytau = 60e-3 + (0.5e-3/({exp {(x + 0.00133)/0.2}} + {exp {(-x - 0.130)/0.0071}}))
Yinf = 1/(1 + {exp {(x + 0.058)/0.0106}})
setfield T03_K2 X_A->table[{i}] {Xtau}
setfield T03_K2 X_B->table[{i}] {Xinf}
setfield T03_K2 Y_A->table[{i}] {Ytau}
setfield T03_K2 Y_B->table[{i}] {Yinf}
x = x + dx
end
setfield T03_K2 X_A->calc_mode 1
setfield T03_K2 X_B->calc_mode 1
setfield T03_K2 Y_A->calc_mode 1
setfield T03_K2 Y_B->calc_mode 1
tweaktau T03_K2 X
tweaktau T03_K2 Y
call T03_K2 TABFILL X 3000 0
call T03_K2 TABFILL Y 3000 0
/* Low voltage threshold calcium conductance*/
create tabchannel T03_CaT
setfield T03_CaT Ek {ECa} Gbar {GCa} Ik 0 Gk 0 Xpower 2 Ypower 1 Zpower 0
call T03_CaT TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
call T03_CaT TABCREATE Y {tab_xdivs} {tab_xmin} {tab_xmax}
x = {tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
Xtau = 0.204e-3 + (0.333e-3/({exp {(x + 0.0158)/0.0182}} + {exp {(-x - 0.131)/0.0167}}))
Xinf = 1/(1 + {exp {(-x - 0.056)/0.0062}})
if ( x <= -0.081 )
Ytau = 0.333e-3 * {exp {(x + 0.466)/0.0666}}
else
Ytau = 9.32e-3 + (0.333e-3 * {exp {(-x - 0.021)/0.0105}})
end
Yinf = 1/(1 + {exp {(x + 0.085)/0.004}})
setfield T03_CaT X_A->table[{i}] {Xtau}
setfield T03_CaT X_B->table[{i}] {Xinf}
setfield T03_CaT Y_A->table[{i}] {Ytau}
setfield T03_CaT Y_B->table[{i}] {Yinf}
x = x + dx
end
setfield T03_CaT X_A->calc_mode 1
setfield T03_CaT X_B->calc_mode 1
setfield T03_CaT Y_A->calc_mode 1
setfield T03_CaT Y_B->calc_mode 1
tweaktau T03_CaT X
tweaktau T03_CaT Y
call T03_CaT TABFILL X 3000 0
call T03_CaT TABFILL Y 3000 0
/* Anomalous rectifier conductance H*/
create tabchannel T03_H
setfield T03_H Ek {EH} Gbar {GH} Ik 0 Gk 0 Xpower 1 Ypower 0 Zpower 0
call T03_H TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
x = {tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
Xtau = 1e-3/({exp {(-14.6 - 86*x)}} + {exp {(-1.87 - 70*x)}})
Xinf = 1/(1 + {exp {(x + 0.075)/0.0055}})
setfield T03_H X_A->table[{i}] {Xtau}
setfield T03_H X_B->table[{i}] {Xinf}
x = x + dx
end
setfield T03_H X_A->calc_mode 1
setfield T03_H X_B->calc_mode 1
tweaktau T03_H X
call T03_H TABFILL X 3000 0
/* KC-type calcium dependent potassium conductance*/
create tabchannel T03_KC
setfield T03_KC Ek {EK} Gbar {GK} Ik 0 Gk 0 Xpower 1 Ypower 0 Zpower 1
call T03_KC TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
call T03_KC TABCREATE Z {tab_xdivs} {cai_min} {cai_max}
x = {tab_xmin}
cai = {cai_min}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
if ( x <= -0.010 )
XA = 0.053*{exp {((x + 0.05)/0.011) - ((x + 0.0535)/0.027)}}
else
XA = 2*{exp {(-x - 0.0535)/0.027}}
end
if ( x <= -0.010 )
XB = (2*{exp {(-x - 0.0535)/0.027}}) - {XA}
else
XB = 0
end
if ( cai <= 250 )
Zinf = 0.004 * cai
else
Zinf = 1.0
end
Xtau = 1.0e-3 / ({XA} + {XB})
Xinf = {XA} / ({XA} + {XB})
setfield T03_KC X_A->table[{i}] {Xtau}
setfield T03_KC X_B->table[{i}] {Xinf}
setfield T03_KC Z_A->table[{i}] {Zinf}
setfield T03_KC Z_B->table[{i}] 1.0
x = x + dx
cai = cai + dcai
end
setfield T03_KC X_A->calc_mode 1
setfield T03_KC X_B->calc_mode 1
setfield T03_KC Z_A->calc_mode 1
setfield T03_KC Z_B->calc_mode 1
setfield T03_KC instant {INSTANTZ}
tweaktau T03_KC X
call T03_KC TABFILL X 3000 0
call T03_KC TABFILL Z 3000 0
/* KM-type potassium conductance*/
create tabchannel T03_KM
setfield T03_KM Ek {EK} Gbar {GK} Ik 0 Gk 0 Xpower 1 Ypower 0 Zpower 0
call T03_KM TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
x = {tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
XA = 0.02/(1 + {exp {(-x - 0.02)/0.005}})
XB = 0.01*{exp {(-x - 0.043)/0.018}}
Xtau = 0.75e-3 / ({XA} + {XB})
Xinf = {XA} / ({XA} + {XB})
setfield T03_KM X_A->table[{i}] {Xtau}
setfield T03_KM X_B->table[{i}] {Xinf}
x = x + dx
end
setfield T03_KM X_A->calc_mode 1
setfield T03_KM X_B->calc_mode 1
tweaktau T03_KM X
call T03_KM TABFILL X 3000 0
/*Afterhypolarizing calcium dependent potassium conductance*/
create tabchannel T03_KAHP
setfield T03_KAHP Ek {EK} Gbar {GK} Ik 0 Gk 0 Xpower 0 Ypower 0 Zpower 1
call T03_KAHP TABCREATE Z {tab_xdivs} {cai_min} {cai_max}
cai = {cai_min}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
if ( cai <= 100 )
ZA = 0.0001 * cai
else
ZA = 0.01
end
ZB = 0.01
Ztau = 1.0e-3 / ({ZA} + {ZB})
Zinf = {ZA} / ({ZA} + {ZB})
setfield T03_KAHP Z_A->table[{i}] {Ztau}
setfield T03_KAHP Z_B->table[{i}] {Zinf}
cai = cai + dcai
end
setfield T03_KAHP Z_A->calc_mode 1
setfield T03_KAHP Z_B->calc_mode 1
tweaktau T03_KAHP Z
call T03_KAHP TABFILL Z 3000 0
/* High threshold L-type calcium conductance*/
create tabchannel T03_CaL
setfield T03_CaL Ek {ECa} Gbar {GCa} Ik 0 Gk 0 Xpower 1 Ypower 0 Zpower 0
call T03_CaL TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
x = {tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
XA = 1.6/(1 + {exp {-72*(x - 0.005)}})
XB = (0.02e3*(x + 0.0089))/({exp {(x + 0.0089)/0.005}} - 1)
Xtau = 1.0e-3 / ({XA} + {XB})
Xinf = {XA} / ({XA} + {XB})
setfield T03_CaL X_A->table[{i}] {Xtau}
setfield T03_CaL X_B->table[{i}] {Xinf}
x = x + dx
end
setfield T03_CaL X_A->calc_mode 1
setfield T03_CaL X_B->calc_mode 1
tweaktau T03_CaL X
call T03_CaL TABFILL X 3000 0
/* H-current channel based on Williams and Stuart (2000): Site independence of EPSP time course is mediated by dendritic Ih in neocortical pyramidal neurons. */
float tab_xmin = -0.1
float tab_xmax = 0.05
int tab_xdivs = 149
int i
float x,dx,XA,XB,YA,YB,YAA,YAB
dx = (1e3 * (tab_xmax-tab_xmin))/tab_xdivs //mV, tables are in V
echo {dx}
// only used for proto channels
float G_WS_H = 1
float EH = -0.043
create tabchannel WS_H
setfield WS_H Ek {EH} Gbar {G_WS_H} Ik 0 Gk 0 Xpower 1 Ypower 0 Zpower 0
call WS_H TABCREATE X {tab_xdivs} {tab_xmin} {tab_xmax}
x = 1e3*{tab_xmin}
for (i = 0 ; i <= {tab_xdivs} ; i = i + 1)
XB = 1 / (1 + {exp {((-85.0 - x) / -6.1)}})
//tau defined below and above -82 mV
if (x <= -71)
XA = ({exp {(0.025 * x) + 6.68}}) / (1.0e3 * (Q10**{({t_sim}-34) / 10}))
else
XA = 5*({exp {(-0.027 * x) + 1.69}}) / (1.0e3 * (Q10**{({t_sim} - 34) / 10}))
end
setfield WS_H X_A->table[{i}] {XA}
setfield WS_H X_B->table[{i}] {XB}
x = x + dx
end
setfield WS_H X_A->calc_mode 1
setfield WS_H X_B->calc_mode 1
tweaktau WS_H X
call WS_H TABFILL X 3000 0