/
inner_hair_cell2018.py
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/
inner_hair_cell2018.py
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from numpy import *
from scipy import signal
#parameters
Cm=12.5e-12;
Gmet=30e-9;
s1=16e-9;
s0=s1*3;
x0=20e-9;
#x0=34e-9
tauMet=50e-6;
Gleak=00.0e-9;
EP=90e-3;
Ekf=-71e-3;
Eks=-78e-3;
Gk=230e-9;
xk=-31e-3;
sk=10.5e-3;
tkf1=0.3e-3;
tkf2=0.1e-3;
tks1=8e-3;
tks2=2e-3;
GcaM=4.1e-9;
tauCa=0.25e-3;
xca=-30.0e-3;
sca=7.5e-3;
Eca=45e-3;
tauInS=0.5;
tauInF=50e-3;
CaInMax=0.4;
xCaIn=-43e-3;
sCaIn=6e-3;
Ileak=0.0e-9;
resting_potential=-0.05703; #resting_potential at equilibrium
peak_potential=-0.04; #peak resting potential at 100 dB 4 kHz (where nerve fibers saturate)
def inner_hair_cell_potential(mu,fs):
size=len(mu[0,:])
fs=fs
dt=1.0/fs
alphaMet=exp(-dt/tauMet);
a=zeros([size,2]);
mt=zeros(size)
alphakf1=exp(-dt/tkf1);
alphaks1=exp(-dt/tks1);
Vm=zeros([1,size])+resting_potential
mt=zeros([1,size])+1/(1+exp(x0/s0)*(1+exp(x0/s1)));
# mt=zeros([1,size])+1/(1+exp(x0/s1));
Vsol=zeros_like(mu,dtype=float)
mtIn=1/(1+exp((x0-mu)/s0)*(1+exp((x0-mu)/s1)));
mkf1=1/(1+exp(-(Vm-xk)/sk));
mks1=1/(1+exp(-(Vm-xk)/sk));
zero_time=int(fs*50e-3);
for i in range(zero_time):
Imet=(Gmet*mt)*(Vm-EP);
Ileak=Gleak*(Vm-Eca);
mk=1/(1+exp(-(Vm-xk)/sk));
mkf1=(1-alphakf1)*mk+alphakf1*mkf1;
mks1=(1-alphaks1)*mk+alphaks1*mks1;
Gkf=Gk*mkf1;
Gks=Gk*mks1;
Ikf=Gkf*(Vm-Ekf);
Iks=Gks*(Vm-Eks);
dV=-(Ileak+Imet+Ikf+Iks)/Cm;
Vm=Vm+dV*dt;
for i in range(len(mtIn[:,0])):
mt=(1-alphaMet)*mtIn[i,:]+alphaMet*mt
Imet=(Gmet*mt)*(Vm-EP);
Ileak=Gleak*(Vm-Eca);
mk=1/(1+exp(-(Vm-xk)/sk));
mkf1=(1-alphakf1)*mk+alphakf1*mkf1;
mks1=(1-alphaks1)*mk+alphaks1*mks1;
Gkf=Gk*mkf1;
Gks=Gk*mks1;
Ikf=Gkf*(Vm-Ekf);
Iks=Gks*(Vm-Eks);
dV=-(Ileak+Imet+Ikf+Iks)/Cm;
Vm=Vm+dV*dt;
Vsol[i,:]=Vm
# print(Vsol)
return Vsol
#class ihc():
# def __init__(self,cf,mu,fs):
# size=len(cf)
# self.cf=cf
# self.fs=fs
# dt=1/fs
# self.alphaMet=exp(-dt/tauMet);
# self.a=zeros([size,2]);
# self.mt=zeros(size)
# self.alphakf1=exp(-dt/tkf1);
# self.alphaks1=exp(-dt/tks1);
# self.Vm=zeros(size)+resting_potential
# self.mt=zeros(size)+1/(1+exp(x0/s0)*(1+exp(x0/s1)));
# self.Vsol=np.zeros_like(mu)
# self.mtIn=1/(1+exp((x0-mu)/s0)*(exp((x0-mu)/s1)+1));
# self.mkf=1/(1+exp(-(self.Vm-xk)/sk));
# self.mks=1/(1+exp(-(self.Vm-xk)/sk));
#
# def solve_step(self):
# fs=self.fs
# dt=1/fs
# zero_time=fs*200e-3;
# for i in range(tpad):
# Imet=(Gmet*mt)*(V-EP);
# Ileak=Gleak*(V-Eca);
# self.mk=1/(1+exp(-(self.Vm-xk)/sk));
# self.mkf1=(1-self.alphakf1)*self.mk+self.alphakf1*self.mkf1;
# self.mks1=(1-self.alphaks1)*self.mk+self.alphaks1*self.mks1;
# Gkf=Gk*self.mkf1;
# Gks=Gk*self.mks1;
# Ikf=Gkf*(self.Vm-Ekf);
# Iks=Gks*(self.Vm-Eks);
# dV=-(Ileak+Imet+Ikf+Iks)/Cm;
# self.Vm=self.Vm+dV*dt;
# for i in range(len(self.mtIn[:,0])):
# mt=(1-self.alphaMet)*self.mtIn[:,i]+self.alphaMet*self.mt
# Imet=(Gmet*mt)*(V-EP);
# Ileak=Gleak*(V-Eca);
# self.mk=1/(1+exp(-(self.Vm-xk)/sk));
# self.mkf1=(1-self.alphakf1)*self.mk+self.alphakf1*self.mkf1;
# self.mks1=(1-self.alphaks1)*self.mk+self.alphaks1*self.mks1;
# Gkf=Gk*self.mkf1;
# Gks=Gk*self.mks1;
# Ikf=Gkf*(self.Vm-Ekf);
# Iks=Gks*(self.Vm-Eks);
# dV=-(Ileak+Imet+Ikf+Iks)/Cm;
# self.Vm=self.Vm+dV*dt;
# self.Vsol[:,i]=self.Vm
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