Anyway to use the Mathcad minerr function with a recursive equation?

[gatlas]

Team,

I'm trying to use the Mathcad minerr function with a recursive equation. Ideally, the terms, r, tau, alpha, and K would be found, using initial "guess" values, Kindly see the attached sheet. 

Thanks,

Glen Atlas, MD, MSc

[AlanStevens]

Something like the attached perhaps?  (Note the results are very sensitive to the initial guess for K).

Alan

[gatlas]

Dr. Stevens,

This is almost what I was looking for.

Note that tau represents a delay and that Mathcad would "find" the optimum delay. The purpose of this research is to investigate the oscillatory behavior of intravenous (IV) albumin in humans using a delay differential equation which is based upon the Hutchinson equation. 

I appreciate your help with this tremendously. I invite you to be a co-author on this paper once it is completed.

Sincerely,

Glen Atlas, MD, MSc

Professor
Dept. of Anesthesiology
Rutgers New Jersey Medical School
Newark, NJ
and
Adjunct Clinical Professor
Dept. of Biomedical Engineering
Stevens Institute of Technology
Hoboken, NJ

[AlanStevens · Accepted solution]

Mathcad doesn't do very well if you try to best fit five unknowns all in one go in this situation, so I've done the tau fit separately.  See attached.

Alan

[gatlas]

Dr. Stevens,

Kindly send me your contact information and credentials: glenatlasmd@gmail.com

I would like to have you as a co-author on this project. Thank you very much!

Professor
Dept. of Anesthesiology
Rutgers New Jersey Medical School
Newark, NJ

and

Adjunct Clinical Professor
Dept. of Biomedical Engineering
Stevens Institute of Technology
Hoboken, NJ