//--------------------------------------------------------------------------
// Author: Thomas Nowotny
//
// Institute: Institute for Nonlinear Dynamics
// University of California San Diego
// La Jolla, CA 92093-0402
//
// email to: tnowotny@ucsd.edu
//
// initial version: 2002-01-24
//
//--------------------------------------------------------------------------
//--------------------------------------------------------------------------
// adapted from LPneuronJorge with
// a) own fit for Ih
// b) GHK formalism for ICa + own fit with it
//--------------------------------------------------------------------------
#ifndef LPRNEURON_H
#define LPRNEURON_H
#include "CN_neuron.h"
#include <cmath>
#define LPR_PNO 73
#define LPR_IVARNO 16
//--------------------------------------------------------------------------
// parameters of the LPR neuron (typical set, can be modified at any time
// later on. Modifications take effect immediately in the next evaluation)
double stdLPR_p[LPR_PNO]= {
80, // 0 - gNa: Na conductance [muS]
47.1843, // 1 - ENa: Na equi potential in mV
0.247102, // 2 - gCa1: first Ca conductance
0.0272075, // 3 - gCa2: second Ca conductance
2.87471, // 4 - goCa: KCa conductance
-83.8393, // 5 - EK: K rev. potential
0.401598, // 6 - gd: Kd conductance in [muS]
2.26681, // 7 - gA: A channel conductance
0.0448226, // 8 - gh: Ih channel conductance
-11.6324, // 9 - EIh: Ih channel rev. potential
0.0100637, // 10 - gleak: leak conductance neuropil
-50.8427, // 11 - Eleak: leak reversal potential
0.0502388, // 12 - Cmem: membrane capacitance neuropil
0.0449852, // 13 - c_iCa: factor in Ca dynamics [mM/pCb]
0.0446877, // 14 - k_Ca: time scale Ca removal [1/ms]
3.44474, // 15 - tfac: rescaling all taum/tauh
2.70653, // 16 - Vshift: shift of V to outside world
0.372713, // 17 - IDC: DC input current to set dyn. regime
1.05799, // 18 - tfac_fast: recaling fast taum/tauh (Na, Kd)
0.0492504, // 19 - gVV: conductance between neuropil & soma
0.693825, // 20 - Cs: capacitance of soma
0.0214249, // 21 - gleaks: leak conduct. soma
11.4866, // 22 - RTF
1.0, // 23 - AreaAxon
1.0, // 24 - Area
0.045, // 25 - k_aCa1
0.02, // 26 - k_bCa1
0.0608644, // 27 - k_aCa2
-5.7, // 28 - V_aCa1
-38, // 29 - V_bCa1
29.1336, // 30 - V_aCa2
-7.61858, // 31 - s_aCa1
1.2, // 32 - s_bCa1
-4.43083, // 33 - s_aCa2
0.00155982, // 34 - P_Ca
15123.5, // 35 - Ca_out
-15, // 36 - V_kbCa1
-3.8, // 37 - s_kbCa1
0.480858, // 38 - k_oa
0.0374617, // 39 - k_ob
0.17997, // 40 - V_ao1
-19.6809, // 41 - V_ao2
-23.3747, // 42 - s_ao1
-5.01798, // 43 - s_ao2
0.606697, // 44 - f
2.54667, // 45 - c1
0.710174, // 46 - c2
0.598139, // 47 - c3
0.018541, // 48 - Ca_0
0.142092, // 49 - k_aA
0.0475747, // 50 - k_bA1
0.00399543, // 51 - c_A2
-11.5622, // 52 - V_aA
-60.4254, // 53 - V_bA
-37.9344, // 54 - V_kbA2
5.14585, // 55 - V_x
-25.8765, // 56 - s_aA
5.4265, // 57 - s_bA
-12.6589, // 58 - s_kbA2
-16.7579, // 59 - s_x
2.10007e-05, // 60 - c_r
-80.5426, // 61 - V_r
-64.2891, // 62 - V_kr
7.98176, // 63 - s_r
-21.5582, // 64 - s_kr
0.3, // 65 - I_scale
-93.6857, // 66 - E_M
0.128435, // 67 - g_M
7.66637e-05, // 68 - k_M
-20.0768, // 69 - V_M
-4.67792, // 70 - s_M
-60.0, // 71 - V_kM
4.0, // 72 - s_kM
};
double *LPR_p= stdLPR_p;
char *LPR_p_text[LPR_PNO]= {
"0 - gNa: Na conductance [muS]",
"1 - ENa: Na equi potential in mV",
"2 - gCa1: first Ca conductance",
"3 - gCa2: second Ca conductance",
"4 - goCa: KCa conductance",
"5 - EK: K rev. potential",
"6 - gd: Kd conductance in [muS]",
"7 - gA: A channel conductance",
"8 - gh: Ih channel conductance",
"9 - EIh: Ih channel rev. potential",
"10 - gleak: leak conductance neuropil",
"11 - Eleak: leak reversal potential",
"12 - Cmem: membrane capacitance neuropil",
"13 - c_iCa: factor in Ca dynamics [mM/pCb]",
"14 - k_Ca: time scale Ca removal [1/ms]",
"15 - tfac: rescaling all taum/tauh",
"16 - Vshift: shift of V to outside world",
"17 - IDC: DC input current to set dyn. regime",
"18 - tfac_fast: recaling fast taum/tauh (Na, Kd)",
"19 - gVV: conductance between neuropil & soma",
"20 - Cs: capacitance of soma",
"21 - gleaks: leak conduct. soma",
"22 - RTF",
"23 - V_m",
"24 - s_m",
"25 - k_aCa1",
"26 - k_bCa1",
"27 - k_aCa2",
"28 - V_aCa1",
"29 - V_bCa1",
"30 - V_aCa2",
"31 - s_aCa1",
"32 - s_bCa1",
"33 - s_aCa2",
"34 - P_Ca",
"35 - Ca_out",
"36 - V_kbCa1",
"37 - s_kbCa1",
"38 - k_oa",
"39 - k_ob",
"40 - V_ao1",
"41 - V_ao2",
"42 - s_ao1",
"43 - s_ao2",
"44 - f",
"45 - c1",
"46 - c2",
"47 - c3",
"48 - Ca_0",
"49 - k_aA",
"50 - k_bA1",
"51 - c_A2",
"52 - V_aA",
"53 - V_bA",
"54 - V_kbA2",
"55 - V_x",
"56 - s_aA",
"57 - s_bA",
"58 - s_kbA2",
"59 - s_x",
"60 - c_r",
"61 - V_r",
"62 - V_kr",
"63 - s_r",
"64 - s_kr",
"65 - I_scale",
"66 - E_M",
"67 - g_M",
"68 - k_M",
"69 - V_M",
"70 - s_M",
"71 - V_kM",
"72 - s_kM"
};
//----------------------------------------------------------------------
// the following initial values reflect the steady state with no input
double stdLPR_INIVARS[LPR_IVARNO]= {
-56.0, // 0 - membrane potential
0.0, // 1 - Na channel activation mNa
0.2, // 2 - Na channel unblocking hNa
0.0, // 3 - Ca1 channel activation mCa1
1.0, // 4 - Ca1 channel unblocking hCa1
0.0, // 5 - Ca2 channel activation mCa2
0.0, // 6 - oCa channel activation moCa
1.0, // 7 - oCa channel unblocking hoCa
0.0, // 8 - d channel activation md
0.0, // 9 - A channel activation mA
1.0, // 10 - A channel unblocking hA1
1.0, // 11 - A channel unblocking hA2
0.0, // 12 - Ih channel activation
0.04, // 13 - Ca concentration
0.01, // 14 - M current activation var
-56.0 // 15 - membrane potential soma
};
double *LPR_INIVARS= stdLPR_INIVARS;
char *LPR_INIVARSTEXT[LPR_IVARNO]= {
"0 - membrane potential",
"1 - Na channel activation mNa",
"2 - Na channel unblocking hNa",
"3 - Ca1 channel activation mCa1",
"4 - Ca1 channel unblocking hCa1",
"5 - Ca2 channel activation mCa2",
"6 - oCa channel activation moCa",
"7 - oCa channel unblocking hoCa",
"8 - d channel activation md",
"9 - A channel activation mA",
"10 - A channel unblocking hA1",
"11 - A channel unblocking hA2",
"12 - Ih channel activation",
"13 - Ca concentration",
"14 - M current activation var",
"15 - membrane potential soma"
};
// the LPR neuron class itself
class LPRneuron: public neuron
{
public:
LPRneuron(int, double *);
LPRneuron(int, tnvector<int>, double *);
virtual ~LPRneuron() { }
inline virtual double E(double *);
virtual void currents(ostream &, double *);
virtual void derivative(double *, double *);
};
// for fitting purposes: type == 0 means additive changes
// type == 1 means multiplicative changes
double LPR_p_type[LPR_PNO]= {
1, // 0 - gNa: Na conductance [muS] paper
0, // 1 - ENa: Na equi potential in mV
1, // 2 - gCa1: first Ca conductance
1, // 3 - gCa2: second Ca conductance
1, // 4 - goCa: KCa conductance
0, // 5 - EK: K rev. potential
1, // 6 - gd: Kd conductance in [muS]
1, // 7 - gA: A channel conductance
1, // 8 - gh: Ih channel conductance
0, // 9 - EIh: Ih channel rev. potential
1, // 10 - gleak: leak conductance neuropil
0, // 11 - Eleak: leak reversal potential
1, // 12 - Cmem: membrane capacitance neuropil
1, // 13 - c_iCa: factor in Ca dynamics [mM/pCb]
1, // 14 - k_Ca: time scale Ca removal [1/ms]
1, // 15 - tfac: rescaling all taum/tauh
0, // 16 - Vshift: shift of V to outside world
0, // 17 - IDC: DC input current to set dyn. regime
1, // 18 - tfac_fast: recaling fast taum/tauh (Na, Kd)
1, // 19 - gVV: conductance between neuropil & soma
1, // 20 - Cs: capacitance of soma
1, // 21 - gleaks: leak conduct. soma
1, // 22 - RTF
1, // 23 - AreaAxon
1, // 24 - Area
1, // 25 - k_aCa1
1, // 26 - k_bCa1
1, // 27 - k_aCa2
0, // 28 - V_aCa1
0, // 29 - V_bCa1
0, // 30 - V_aCa2
1, // 31 - s_aCa1
1, // 32 - s_bCa1
1, // 33 - s_aCa2
1, // 34 - P_Ca
1, // 35 - Ca_out
0, // 36 - V_kbCa1
1, // 37 - s_kbCa1
1, // 38 - k_oa
1, // 39 - k_ob
0, // 40 - V_ao1
0, // 41 - V_ao2
1, // 42 - s_ao1
1, // 43 - s_ao2
1, // 44 - f
1, // 45 - c1
1, // 46 - c2
1, // 47 - c3
1, // 48 - Ca_0
1, // 49 - k_aA
1, // 50 - k_bA1
1, // 51 - c_A2
0, // 52 - V_aA
0, // 53 - V_bA
0, // 54 - V_kbA2
0, // 55 - V_x
1, // 56 - s_aA
1, // 57 - s_bA
1, // 58 - s_kbA2
1, // 59 - s_x
1, // 60 - c_r
0, // 61 - V_r
0, // 62 - V_kr
1, // 63 - s_r
1, // 64 - s_kr
1, // 65 - I_scale
0, // 66 - E_M
1, // 67 - g_M
1, // 68 - k_M
0, // 69 - V_M
1, // 70 - s_M
0, // 71 - V_kM
1 // 72 - s_kM
};
// for fitting purposes ... the LPR_p_sens(itivity) is basically the inverse
// of the slope of the deviation of the neuron model perturbed in a given
// parameter compared to the model with the original parameter set.
// see "test_params" and "calc_sensitivity" for more details
double LPR_p_sens[LPR_PNO]= {
5e-10, // 0 - gNa: Na conductance [muS] paper
1e-08, // 1 - ENa: Na equi potential in mV
5e-10, // 2 - gCa1: first Ca conductance
5e-10, // 3 - gCa2: second Ca conductance
5e-10, // 4 - goCa: KCa conductance
1e-08, // 5 - EK: K rev. potential
5e-10, // 6 - gd: Kd conductance in [muS]
5e-10, // 7 - gA: A channel conductance
1e-9, // 8 - gh: Ih channel conductance
1-07, // 9 - EIh: Ih channel rev. potential
1e-09, // 10 - gleak: leak conductance neuropil
1e-09, // 11 - Eleak: leak reversal potential
1e-09, // 12 - Cmem: membrane capacitance neuropil
1e-09, // 13 - c_iCa: factor in Ca dynamics [mM/pCb]
1e-09, // 14 - k_Ca: time scale Ca removal [1/ms]
5e-10, // 15 - tfac: rescaling all taum/tauh
1e-8, // 16 - Vshift: shift of V to outside world
5e-9, // 17 - IDC: DC input current to set dyn. regime
5e-10, // 18 - tfac_fast: recaling fast taum/tauh (Na, Kd)
1e-9, // 19 - gVV: conductance between neuropil & soma
1e-9, // 20 - Cs: capacitance of soma
1e-9, // 21 - gleaks: leak conduct. soma
1e-09, // 22 - RTF
1e-9, // 23 - AreaAxon
1e-9, // 24 - Area
1e-9, // 25 - k_aCa1
1e-09, // 26 - k_bCa1
1e-08, // 27 - k_aCa2
1e-09, // 28 - V_aCa1
1e-09, // 29 - V_bCa1
1e-07, // 30 - V_aCa2
1e-11, // 31 - s_aCa1
1e-09, // 32 - s_bCa1
1e-08, // 33 - s_aCa2
5e-10, // 34 - P_Ca
5e-10, // 35 - Ca_out
1e-08, // 36 - V_kbCa1
5e-10, // 37 - s_kbCa1
1e-08, // 38 - k_oa
1e-08, // 39 - k_ob
5e-08, // 40 - V_ao1
1e-08, // 41 - V_ao2
1e-09, // 42 - s_ao1
5e-10, // 43 - s_ao2
1e-08, // 44 - f
1e-09, // 45 - c1
1e-09, // 46 - c2
1e-09, // 47 - c3
5e-9, // 48 - Ca_0
1e-08, // 49 - k_aA
1e-07, // 50 - k_bA1
1e-08, // 51 - c_A2
1e-08, // 52 - V_aA
1e-08, // 53 - V_bA
1e-07, // 54 - V_kbA2
1e-06, // 55 - V_x
5e-10, // 56 - s_aA
1e-9, // 57 - s_bA
1e-08, // 58 - s_kbA2
1e-07, // 59 - s_x
5e-08, // 60 - c_r
1e-07, // 61 - V_r
1e-06, // 62 - V_kr
1e-08, // 63 - s_r
1e-07, // 64 - s_kr
1e-9, // 65 - I_scale
1e-07, // 66 - E_M
1e-9, // 67 - g_M
1e-9, // 68 - k_M
1e-8, // 69 - V_M
1e-9, // 70 - s_M
1e-8, // 71 - V_kM
1e-9, // 72 - s_kM
};
#endif