Can you help me set up a python code for this problem:

Cell growth $($bacterial or mammalian cells$)$ as a function of time can be modeled by many

different equations. The following equations is one such growth modeling equation:

$\frac{dV}{dt}=N(\frac{Z-N}{R})$

Here, $N$ is the number of cells at any point in time $(t),$ is the specific growth rate $($related to

how fast the cells grow$/$divide in their envircnment$),$ and $K$ is known as the carrying capacity.

The specific growth rate, $,$ is a function of substrate concentration, $[5].$ maximum growth rate,

${}_{\text{m}\text{a}\text{x}},$ and a Monod constant, $K_2$ :

$==\frac{[S]}{R_s+[S]}$

The maximum growth rate, Monod constant, and carrying capacity for a particular cell type in a

particular environment are known to be: ${}_m=0\mathrm{.}01mi{n}^{-1},K=110$ cells, and $K_2=0\mathrm{.}27$

$m\frac{g}{m}L$

b$.(15$ pts$)$ In Python, use the Euler Method to create a function cellgrowth$(N0,tf,S$ to

determine the number of cells at the final time, tf$,$ depending on initial cell number $($N$0)$ and

substrate concentration, $S.$ Use a time step of $0\mathrm{.}1$ minutes. Determine the number of cells

after $12$ hours $(720$ minutes$)$ if $N_0=2{10}^7$ cells and the concentration of substrate is $0\mathrm{.}2$

$m\frac{g}{m}L.$

c$.(5$ pts$)$ Using your solution in Python, generate a single olot of cell number $(N)$ as a function

of time up to $24$ hours $(1440$ minutes$)$ for the four different substrate concentrations $0\mathrm{.}2,0\mathrm{.}5,$

and $1\mathrm{.}0$ and $10\mathrm{.}0m\frac{g}{m}L.$ Each series should be a different format $($dotted vs solid, color.

etc. you choose the format$).$ Use the same inital cell number as above $(N_0=2{10}^7$

cells$).$ Insert a legend into your figure and show axes and gridlines. Comment on the

significance of the plot. In other words, what effect does substrate have on the growth rate

of cells?