help in propagation of uncertainty calculations

I am trying to calculate the statistical propagation of uncertainty for several parameters, (one each time) using MWC (long and complicated) equation. is there any Matlab function to perform such calculation? or any other function that can help me? thanks Olga

[Star Strider]

What is ‘MWC’?

[Olga]

Monod Wyman and Changeux model for protein cooperativity Y = (((S./Kr).*power((1+(S./Kr)),3)) + (((L.*S)./Kt).*power((1+(S./Kt)),3)))./(power((1+(S./Kr)),4)+ L.*power((1+(S./Kt)),4)); Kr Kt and L are parameters and S is the unknown.

Answer 1

[Star Strider]

I’m familiar with Monod Wyman and Changeux model, but there are so many different disciplines here on MATLAB Answers with so many different acronyms and abbreviations, that guessing them correctly is impossible.

I’m not certain what you mean by ‘the statistical propagation of uncertainty for several parameters’. If you mean sensitivity coefficients — the partial derivatives of Y with respect to each parameter — use the Symbolic Math Toolbox jacobian function, or use it to define the derivatives individually.

Answer 2

[Deepak Ramaswamy]

This file exchange entry may be of use: http://www.mathworks.com/matlabcentral/fileexchange/17901-propagation-of-uncertainty

Answer 3

[Sterling Baird]

While not a MATLAB solution (you mentioned other functions as being OK), Mathematica 12 has an experimental set of functions, one of which is AroundReplace[] which does uncertainty propagation: example