Related Experiment Video
Updated: Aug 23, 2026

Palatable Western-style Cafeteria Diet as a Reliable Method for Modeling Diet-induced Obesity in Rodents
Published on: November 1, 2019
The determination of nutritional requirements: mathematical modeling of nutrient-response curves
1Department of Nutrition and Food Science, University of Kentucky, Lexington 40506-0054.
Abstract:
The Saturation Kinetics Model (SKM) is useful in describing physiological responses as functions of a limiting dietary nutrient. We have recently expanded the SKM to predict the inhibited portions of the nutrient-response curve. By using the SKM, nutrient requirements can be predicted analytically by, requirement = (K0.5 x KS)0.5. It is also possible to set an upper and lower dietary nutrient concentration which encompasses the 100% response range for each response, thereby giving an inhibition or toxicity index. This index allows one to set nutritional requirement levels precisely, optimizing responses without moving into inhibiting or toxic ranges of nutrients. The model equation can also be converted to a three-dimensional representation by graphing each parameter as a function of time. This allows one to visualize a three-dimensional response surface, showing response as a function of time and dietary nutrient concentration.
More Related Videos
Related Concept Videos
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs
On the other hand, integral calculus focuses on...
Mechanistic Models: Compartment Models in Individual and Population Analysis
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Pharmacokinetic Models: Comparison and Selection Criterion
Physiological models take a detailed approach by considering specific molecular processes. They can predict drug distribution, metabolism, and elimination changes, providing a comprehensive understanding of how drugs interact with the body.
Pharmacodynamic Models: Additive and Proportional Drug Effect Model
Modeling with Differential Equations

