Function behaves unexpectedly on array inputs. To improve performance, properly vectorize your function to return an output with the same size and shape as the input arguments

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Why am I getting the warning?
EDIT: removed VER information.
%% Hill equation
% Rate = Vmax * S^n / (K^n + S^n)
hill = @(S,Vmax,K,n) Vmax*S^n / (K^n + S^n);
%Check Michaelis Menton Function using S, Vmax=1, Km=0.1, and n=1)
hill_1 = @(S) hill(S, 1, 0.1, 1);
figure(1)
fplot(hill_1, [0,3])
Warning: Function behaves unexpectedly on array inputs. To improve performance, properly vectorize your function to return an output with the same size and shape as the input arguments.

Accepted Answer

Swastik Sarkar
Swastik Sarkar on 25 Sep 2024
Hi @Elle,
While the formula is correct, the MATLAB code provided works well for scalar values but requires element-wise operations when working with matrices. By default, MATLAB assumes matrix operations on the variables. To address the warning encountered, the code should be modified as follows:
% Note element-wise operations
hill = @(S,Vmax,K,n) Vmax .* S.^n ./ (K.^n + S.^n);
% Check Michaelis-Menten Function using S, Vmax=1, Km=0.1, and n=1
hill_1 = @(S) hill(S, 1, 0.1, 1);
% Plot the function
figure(1)
fplot(hill_1, [0, 3])
Further information can be found in the following documentation::
Hope this helps.
  3 Comments
Swastik Sarkar
Swastik Sarkar on 1 Oct 2024
Hi @Elle,
I'm glad that this answer helped you! Please consider accepting the answer next time so that others in the community can benefit from it as well.

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