I have been looking at an interesting book "Pharmacokinetic-Pharmacodynamic Modeling and Simulation" by Peter Bonate on pharmacokinetic models: the models of how medical drugs work their way through the tissues and organs of a human body, etc.
The book discusses "mechanistic" models where systems of differential equations model individual process in the body such as cellular metabolism or the drug, the operation of enzymes, etc. But these types of mechanistic models are used in many fields, such as hydrology to model flooding processes, weather forecasting, earthquake models, models for structural engineering to see how buildings will respond to different physical forces, etc.
While I have found some subject specific books on this topic, I was wondering if anyone knew of a good book or two on designing these types of mechanistic models? Given that these models have a relatively general form--such as large systems of equations--these models must face similar issues when it comes to calibrating against data, numerical methods, goodness of fit analysis, etc. dealing with multiple time-scales, etc.
Can anyone suggest a book that covers these topics across mechanistic models. Or even if someone know of good books within a particular subject area, that would be helpful. I was just hoping to standardize my own approaches to a problem I am working on.