Solve the differential equations that make up the deterministic Hodgkin Huxley Neuron model numerically using any programming language and draw the $1$s membrane potential graphs for the excitation currents given below.

$a-I_{\text{e}\text{x}\text{t}}=1\frac{A}{c}{m}^2$

$b-I_{\text{e}\text{x}\text{t}}=4\frac{A}{c}{m}^2$

$c-I_{\text{e}\text{x}\text{t}}=6\mathrm{.}2\frac{A}{c}{m}^2$

$d-I_{\text{e}\text{x}\text{t}}=7\mathrm{.}4\frac{A}{c}{m}^2$

H$-$H N$$ron modeli ve baz parametre de$$erleri;

$C_m\frac{dV}{dt}+g_K^{\text{m}\text{a}\text{x}}{n}^4(V-E_K)+g_{Na}^{\text{m}\text{a}\text{x}}{m}^{3}h(V-E_{Na})+g_l(V-E_l)$

$=I_{\text{e}\text{x}\text{t}}$

$\frac{dx}{dt}={}_x(V)(1-x)-{}_x(V)x,x$

$=m,n,h$

${}_n=0*01\frac{V+10}{\text{e}\text{x}\text{p}\frac{V+10}{10}-1},$

${}_n=0*125$exp$(\frac{V}{80}),$

${}_m=0*1\frac{V+25}{\text{e}\text{x}\text{p}\frac{V+25}{10}-1},$

${}_m=4$exp$(\frac{V}{18}),$

${}_h=0\mathrm{.}07$exp$(\frac{V}{20}),$

${}_h=\frac{1}{\text{e}\text{x}\text{p}\frac{V+30}{10}+1}.$

$C_m=1\frac{F}{c}{m}^2,.E_K=-77mV,E_{Na}=50mV,E_l=-54\mathrm{.}4mV,$

$g_K^{\text{m}\text{a}\text{x}}=36mSc{m}^{-2}$ and $g_{Na}^{\text{m}\text{a}\text{x}}=120mSc{m}^{-2}$