// Transfer Properties of Neuronal Dendrites with Tonically Activated Conductances
// S.M. Korogod, I.B. Kulagina, and S. Tyc-Dumont
// Neirofiziologiya/Neurophysiology, Vol.30, Nos.4/5, pp.259-264, July-October, 1998
// (Kluwer Academic/ Plenum Publishers English version: Neurophysiology 30(4/5):203-207, 1999)
objectvar VRGraph, CRGraph, JRGraph, IRGraph
// define membrane mechanisms
proc SetMembrane() {
strdef OutLine
OutLine = "Soma {insert PasSA}"
execute1(OutLine)
OutLine = "Axon[0] {insert PasSA}"
execute1(OutLine)
for i=0, AllBranches.x[0]-1 {
sprint(OutLine, "Dendrite1[%d] {insert PasD}", i)
execute1(OutLine)
}
} // SetMembrane()
func CalcEq() { local Gm, Eq
Gm = gs_PasD($1) + g_PasD($1)
Eq = ((gs_PasD($1) / Gm) * es_PasD($1)) + ((g_PasD($1) / Gm) * erev_PasD($1))
return Eq
} // CalcEq()
// make graphics for Fig.2. A
proc MakeVRGraph() {
strdef OutLine
max_distance = 0
route_distance = 0
VRGraph = new Graph(0)
VRGraph.xaxis()
VRGraph.yaxis()
for i=0, TermBranches[0].size()-1 {
RRGraph = new RangeVarPlot("v")
sprint(OutLine, "Dendrite1[0] RRGraph.begin(0) Dendrite1[%d] RRGraph.end(1)", TermBranches[0].x[i])
execute1(OutLine)
VRGraph.addobject(RRGraph, 1, 1, 1, 1)
RRGraph = new RangeVarPlot("CalcEq($1)")
sprint(OutLine, "Dendrite1[0] RRGraph.begin(0) Dendrite1[%d] RRGraph.end(1)", TermBranches[0].x[i])
execute1(OutLine)
VRGraph.addobject(RRGraph, 3, 1, 1, 3)
route_distance = RRGraph.right() - RRGraph.left()
if (route_distance > max_distance) {
max_distance = route_distance
}
}
VRGraph.size(0, max_distance + 50, -70, -30)
VRGraph.view(0, -70, 541.0, 40, 268, 80, 300.0, 215.0)
VRGraph.label(0.5, 1, "A", 2, 1, 0, 1, 1)
VRGraph.label(0.05, 1, "mV", 2, 1, 0, 1, 1)
VRGraph.label(0.9, 0.15, "um", 2, 1, 0, 1, 1)
VRGraph.label(0.9, 0.95, "Eq", 2, 1, 0, 1, 3)
VRGraph.label(0.9, 0.85, "E", 2, 1, 0, 1, 1)
flush_list.append(VRGraph)
VRGraph.save_name("flush_list.")
objectvar RRGraph
} // MakeVRGraph()
func CalcGs() { // mS/cm2
return gs_PasD($1) * 1000
} // CalcGs()
func CalcGpd() { // mS/cm2
return g_PasD($1) * 1000
} // CalcGpd()
func CalcGm() { // mS/cm2
return ((gs_PasD($1) + g_PasD($1)) * 1000)
} // CalcGm()
// make graphics for Fig.2. B
proc MakeCRGraph() {
strdef OutLine
max_distance = 0
route_distance = 0
CRGraph = new Graph(0)
CRGraph.xaxis()
CRGraph.yaxis()
for i=0, TermBranches[0].size()-1 {
RRGraph = new RangeVarPlot("CalcGs($1)")
sprint(OutLine, "Dendrite1[0] RRGraph.begin(0) Dendrite1[%d] RRGraph.end(1)", TermBranches[0].x[i])
execute1(OutLine)
CRGraph.addobject(RRGraph, 1, 1, 1, 1)
RRGraph = new RangeVarPlot("CalcGpd($1)")
sprint(OutLine, "Dendrite1[0] RRGraph.begin(0) Dendrite1[%d] RRGraph.end(1)", TermBranches[0].x[i])
execute1(OutLine)
CRGraph.addobject(RRGraph, 1, 1, 1, 1)
RRGraph = new RangeVarPlot("CalcGm($1)")
sprint(OutLine, "Dendrite1[0] RRGraph.begin(0) Dendrite1[%d] RRGraph.end(1)", TermBranches[0].x[i])
execute1(OutLine)
CRGraph.addobject(RRGraph, 3, 1, 1, 3)
route_distance = RRGraph.right() - RRGraph.left()
if (route_distance > max_distance) {
max_distance = route_distance
}
}
CRGraph.size(0, max_distance + 50, 0, 0.3)
CRGraph.view(0, 0, 541.0, 0.3, 683, 80, 300.0, 215.0)
CRGraph.label(0.5, 1, "B", 2, 1, 0, 1, 1)
CRGraph.label(0.05, 1, "mS/cm2", 2, 1, 0, 1, 1)
CRGraph.label(0.9, 0.15, "um", 2, 1, 0, 1, 1)
CRGraph.label(0.9, 0.95, "Gm", 2, 1, 0, 1, 3)
CRGraph.label(0.9, 0.85, "Gs", 2, 1, 0, 1, 1)
CRGraph.label(0.9, 0.75, "Gp,d", 2, 1, 0, 1, 1)
flush_list.append(CRGraph)
CRGraph.save_name("flush_list.")
objectvar RRGraph
} // MakeCRGraph()
func CalcJm() { local Gm, Eq, Jm // uA/cm2
Gm = gs_PasD($1) + g_PasD($1)
Eq = ((gs_PasD($1) / Gm) * es_PasD($1)) + ((g_PasD($1) / Gm) * erev_PasD($1))
Jm = (Gm * (v($1) - Eq)) * 1000
return Jm
} // CalcJm()
// make graphics for Fig.2. C
proc MakeJRGraph() {
strdef OutLine
max_distance = 0
route_distance = 0
JRGraph = new Graph(0)
JRGraph.xaxis()
JRGraph.yaxis()
for i=0, TermBranches[0].size()-1 {
RRGraph = new RangeVarPlot("CalcJm($1)")
sprint(OutLine, "Dendrite1[0] RRGraph.begin(0) Dendrite1[%d] RRGraph.end(1)", TermBranches[0].x[i])
execute1(OutLine)
JRGraph.addobject(RRGraph, 1, 1, 1, 1)
route_distance = RRGraph.right() - RRGraph.left()
if (route_distance > max_distance) {
max_distance = route_distance
}
}
JRGraph.size(0, max_distance + 50, -4, -1)
JRGraph.view(0, -4, 541.0, 3, 268, 432, 300.0, 215.0)
JRGraph.label(0.5, 1, "C", 2, 1, 0, 1, 1)
JRGraph.label(0.05, 1, "uA/cm2", 2, 1, 0, 1, 1)
JRGraph.label(0.9, 0.15, "um", 2, 1, 0, 1, 1)
flush_list.append(JRGraph)
JRGraph.save_name("flush_list.")
objectvar RRGraph
} // MakeJRGraph()
func CalcI() { local Gm, Eq, Jm, Im // 0.01*pA/um
Gm = gs_PasD($1) + g_PasD($1)
Eq = ((gs_PasD($1) / Gm) * es_PasD($1)) + ((g_PasD($1) / Gm) * erev_PasD($1))
Jm = (Gm * (v($1) - Eq)) * 1000
Im = -(PI * diam($1) * Jm)
return Im
} // CalcI()
// make graphics for Fig.2. D
proc MakeIRGraph() {
strdef OutLine
max_distance = 0
route_distance = 0
IRGraph = new Graph(0)
IRGraph.xaxis()
IRGraph.yaxis()
for i=0, TermBranches[0].size()-1 {
RRGraph = new RangeVarPlot("CalcI($1)")
sprint(OutLine, "Dendrite1[0] RRGraph.begin(0) Dendrite1[%d] RRGraph.end(1)", TermBranches[0].x[i])
execute1(OutLine)
IRGraph.addobject(RRGraph, 1, 1, 1, 1)
route_distance = RRGraph.right() - RRGraph.left()
if (route_distance > max_distance) {
max_distance = route_distance
}
}
IRGraph.size(0, max_distance + 50, 0, 50)
IRGraph.view(0, 0, 541.0, 50, 683, 432, 300.0, 215.0)
IRGraph.label(0.5, 1, "D", 2, 1, 0, 1, 1)
IRGraph.label(0.05, 1, "0.01 pA/um", 2, 1, 0, 1, 1)
IRGraph.label(0.9, 0.15, "um", 2, 1, 0, 1, 1)
flush_list.append(IRGraph)
IRGraph.save_name("flush_list.")
objectvar RRGraph
} // MakeIRGraph()
proc Destroy() {
VRGraph.unmap()
CRGraph.unmap()
JRGraph.unmap()
IRGraph.unmap()
} // Destroy()
proc MainExec() {
GetModelTopology(1)
SetMembrane()
OutLine = "access Soma"
execute1(OutLine)
tstop = 50
MakeVRGraph()
MakeCRGraph()
MakeJRGraph()
MakeIRGraph()
} // MainExec()
MainExec()