How do I run an ODE on a function with multiple variables?

I hope I am asking this question in the right place but I would kindly appreciate any help you can send my way. I am running this function

which works completely fine, however when I call an ODE45 on it to help me get less broad data, I keep getting an error of not having enough input arguments.

ode45(eliminationODE,[1 100], [0.4,0.016,dpop,1,1,0.1,tpop,0,0.16,1,1,0.5,0.4])

Not enough input arguments.

Error in eliminationODE (line 2)

dxdt=[ALPHAd + Rd.*Dt.*((Kd-BETAdd.*Dt-BETAdt.*Tt)/Kd); ALPHAt + Rt.*Tt.*((Kt-BETAtt.*Tt-BETAtd.*Dt)/Kt)-Tt.*GAMMAd.*Dt];

I am a bit confused as I am giving it the same amount of input arguments I do when I run the actual function. I even tried adding up to 5 random values but it still comes up as too few input arguments. Am I making a mistake in how I am running the ODE?

[Stephen23]

"Am I making a mistake in how I am running the ODE?"

Yes. You are calling the function (rather than providing ODE45 with a function handle as it requires):

ode45(eliminationODE,..)
%     ^^^^^^^^^^^^^^ this calls your function

https://www.mathworks.com/help/matlab/function-handles.html

Note that the specification given in the ODE45 documentation requires that the function must accept "..a scalar t and a column vector y", whereas your function requires lots and lots of separate input arguments. To follow the documentation you should modify your function to accept the specified two input arguments. If you need to pass further parameters then also read:

https://www.mathworks.com/help/matlab/math/parameterizing-functions.html

Answer 1

[Torsten]

[T,Y] = ode45(@(t,y)eliminationODE(y(1),y(2),y(3),y(4),y(5),y(6),y(7),y(8),y(9),y(10),y(11),y(12),y(13)),[1 100], [0.4,0.016,dpop,1,1,0.1,tpop,0,0.16,1,1,0.5,0.4])

instead of

ode45(eliminationODE,[1 100], [0.4,0.016,dpop,1,1,0.1,tpop,0,0.16,1,1,0.5,0.4])