How do i add the time and mass as variables to simulate

The concentration of insulin at any time is described by the equation:

C = C0e^(−40t/m)

where C0 is the initial concentration of insulin, t is the time in minutes, and m is the mass of the subject in kg.

My task is to simulate the insulin concentration for two people weighing 60kg and 100kg for 4 minutes in intervals of 10 seconds to then plot the graph.

Ive never seen a problem like this before so if you have any simular examples or if you could be willing to explain how i involve the masses and time it would be very helpful,

This is my code so far

C0 = 85; 
Cins =@(M,t) C0*exp(-40*t./m);

M1 = 60
M2 =100

[Walter Roberson]

t = (0 : 10 : 4*60)/60;    %minutes

[Sohail Nadeem]

t = 0.1:24

This is what i had, thank you !

Any help on how to show the mass, or is the way ive shown it correct?

[Walter Roberson]

You define Cins with input named M but do not use that input.

You define Cins in terms of a variable named m but you have not assigned any value to that variable before that point.

[Sohail Nadeem]

C0 = 85; %pmol/L Initial Insulin concentration
Cins =@(M,t) C0*exp(-40*t./M);



t = (0 : 10 : 4*60)/60; %minutes
M = (60,100);
C = Cins(M,t); 

The graph should plot two lines of time against C from 10 seconds to 240 seconds in intervals of 10 seconds.

Does this look correct? Thank you.

[Sohail Nadeem]

If this is correct would i use a 'for loop' to get the values of M for plotting? This is the only thing i can think of!

Answer 1

[Walter Roberson]

That is not valid syntax for the assignment to M. But if you are using R2016b or later, then

M = [60; 100];

would give you useful results in C.

[Sohail Nadeem]

Thank you so much for your help!