//genesis
/*************************** MS Model, Version 9.1 *********************
**************************** CaL13channel.g *********************
Rebekah Evans updated 3/20/12
******************************************************************************
******************************************************************************/
function create_CaL13
str chanName = "CaL13_channel"
str compPath = "/library"
int c, a
float Ek = 0.140 //(nernst calculated for 35degrees, [Cain] 50nM [Caout]2mM)
//Ek is overwritten the the GHK object if it is used.
float xmin = -0.1
float xmax = 0.05
int xdivs = 3000
float mPower = 1.0 //mh is an equally common form to m2h (tuckwell 2012)
float hPower = 1.0
if (calciuminact == 1)
float zpower = 1.0
else
float zpower = 0
end
float increment ={{xmax}-{xmin}}/{xdivs}
echo "CaL13 increment:" {increment} "V"
float x = -0.1
float surf = 0
float gMax = 0
float hTauCaL13 = 44.3e-3
float mTauCaL13 = 0.0
float mvHalfCaL13 = -40.0e-3
float mkCaL13 = -5e-3
float hvHalfCaL13 = -37e-3
float hkCaL13 = 5e-3
float hInfCaL13 = 0.0
float mInfCaL13 = 0.0
//parameters for calcium-dep inactivation (CDI)
float Ca = 0.0
float CaMax = 0.005 //5uM
float CaMin = 0
float CaDivs = 3000
float CaIncrement ={{CaMax}-{CaMin}}/{CaDivs}
echo "CDIincrement:" {CaIncrement}
float theta = 0.0
float beta = 0.0
float beta_exp = 0.0
float mA = 0.0
float mB = 0.0
float qFactCaL13 = {qfactCa}
pushe {compPath}
create tabchannel {chanName}
setfield {chanName} Ek {Ek} Xpower {mPower} Ypower {hPower} Zpower {zpower}
call {chanName} TABCREATE X {xdivs} {xmin} {xmax}
call {chanName} TABCREATE Y {xdivs} {xmin} {xmax}
//fill in the voltage act and inact tables
for(c = 0; c < {xdivs} + 1; c = c + 1)
/************************ Begin CaL13_mTau *********************/
//mA = 39800*(vMemb + 67.24e-3)./(exp((vMemb + 67.24e-3)/15.005e-3) - 1);
//mB = 3500*exp(vMemb/31.4e-3);
//mTauCaL13 = 1./(mA + mB) / qFactCaL13;
//parameters tuned to fit Tuckwell 2012 figure 12
theta = 39800*{ {x} + 67.24e-3}
beta = {{x} + 67.24e-3}/15.005e-3
beta_exp = {exp {beta}}
beta_exp = beta_exp - 1.0
mA = {{theta}/{beta_exp}}
beta = {{x}/31.4e-3}
beta_exp = {exp {beta}}
mB = 3500*{beta_exp}
mTauCaL13 = {{1/{mA + mB}}/{qFactCaL13}}
setfield {chanName} X_A->table[{c}] {mTauCaL13}
/************************ End CaL13_mTau ***********************/
/************************ Begin CaL13_mInf *********************/
// mInfCaL13 = 1./(1 + exp((vMemb - mvHalfCaL13)/mkCaL13));
//parameters tuned to fit Tuckwell 2012 figure 3
beta = {{x} - {mvHalfCaL13}}/{mkCaL13}
beta_exp = {exp {beta}} + 1.0
mInfCaL13 = 1.0/{beta_exp}
setfield {chanName} X_B->table[{c}] {mInfCaL13}
/************************ End CaL12_mInf ***********************/
/************************ Begin CaL13_hTau *********************/
// hTauCaL13
setfield {chanName} Y_A->table[{c}] {{hTauCaL13}/{qFactCaL13}}
/************************ End CaL12_hTau ***********************/
/************************ Begin CaL13_hInf *********************/
// hInfCaL13 = 1./(1 + exp((vMemb - hvHalfCaL13)/hkCaL13));
//parameters tuned to fit Tuckwell 2012 figure 12
beta = {{x} - {hvHalfCaL13}}/{hkCaL13}
beta_exp = {exp {beta}} + 1.0
hInfCaL13 = 1.0/{beta_exp}
setfield {chanName} Y_B->table[{c}] {hInfCaL13}
/************************ End CaL13_hInf ***********************/
x = x + increment
end
tweaktau {chanName} X
tweaktau {chanName} Y
//fill in the Z table with CDI values
//equation from Tuckwell review paper 2012 progress in neurobiology table A1.3
if (calciuminact == 1)
call {chanName} TABCREATE Z {CaDivs} {CaMin} {CaMax}
int a
float CDI
float q, k, b, n
for(a = 0; a < {CaDivs} + 1; a = a + 1)
//f= (0.001/(0.001+[Ca]))Poirazi CA1 2003
//f= (0.0005/(0.0005+[Ca])) Rhodes and Llinas 2001 Cort Pyr
Ca=a*{CaIncrement}
k=0.0005
b={pow {k} 3}
n={pow {Ca} 3}
q = {{b}/({b}+{n})}
CDI = {pow {q} 100}
setfield {chanName} Z_B->table[{a}] {CDI}
setfield {chanName} Z_A->table[{a}] {{142e-3}/{cdiqfact}} //CaL1.2 in HEK cells Barrett and Tsien 2007 roomtemp
end
tweaktau {chanName} Z
end
create ghk {chanName}GHK
setfield {chanName}GHK Cout 2 // Carter & Sabatini 2004 uses 2mM,
setfield {chanName}GHK valency 2.0
setfield {chanName}GHK T {TEMPERATURE}
setfield {chanName} Gbar {gMax*surf}
addmsg {chanName} {chanName}GHK PERMEABILITY Gk
pope
end