1) Convert Berkeley Madonna code to Matlab (submit your m.file). Runtime is from 0 to 10, with dt of 0.02. Code a stimulus for 0.5 seconds at timepoint 3, with an intensity of 100 and graph the time course. Plot Q, Imemb and the stimulus. What happens if you change the capacitance Cm (cap)? How does the speed of the response change? Show in a graph and describe in 2 sentences.
Here is the Berkeley Madonna code:
{Top model}
{Reservoirs}
d/dt (Q) = + Stimulus - Imemb
INIT Q = -65/cap
{Flows}
Stimulus = Intensity*SquarePulse(3,.5) {at t=3 of 0.5 duration}
Imemb = IL+IK+INa
{Functions}
Intensity = 100 {microamps}
cap = 1
E = Q/cap
{Submodel "INa_"}
{Functions}
ENa = 50
INa = gNa*(E-ENa)
GNaMax = 120
gNa = GNaMax*m*m*m*h
{Submodel "m_gates"}
{Reservoirs}
d/dt (m) = + m_prod - m_decay
INIT m = am/(am+bm)
{Flows}
m_prod = am*(1-m)
m_decay = bm*m
{Functions}
am = 0.1*(E+40)/(1-exp(-(E+40)/10))
bm = 4*exp(-(E+65)/18)
{Submodel "h_gates"}
{Reservoirs}
d/dt (h) = + h_prod - h_decay
INIT h = ah/(ah+bh)
{Flows}
h_prod = ah*(1-h)
h_decay = bh*h
{Functions}
ah = 0.07*exp(-(E+65)/20)
bh = 1/(exp(-(E+35)/10)+1)
{Submodel "IK_"}
{Functions}
EK = -77
IK = gK*(E-EK)
gK_max = 36
gK = gK_max*n*n*n*n
{Submodel "n_gates"}
{Reservoirs}
d/dt (n) = + n_prod - n_decay
INIT n = an/(an+bn)
{Flows}
n_prod = an*(1-n)
n_decay = bn*n
{Functions}
an = 0.01*(E+55)/(1-exp(-(E+55)/10))
bn = 0.125*exp(-(E+65)/80)
{Submodel "IL_"}
{Functions}
IL = gL*(E-EL)
EL = -54.4
gL = .3
{Globals}
{End Globals}
One way to code a square pulse in Matlab:
___________________________________________________
% % Generate Pulse between 3 and 3.5 seconds
if t>3 && t<=3.5 squarepulse = 1;
else squarepulse = 0;
end
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