PMID: 2511286Oct 1, 1989Paper

The determination of nutritional requirements in rats: mathematical modeling of sigmoidal, inhibited nutrient-response curves

The Journal of Nutrition
L P MercerS J Dodds

Abstract

The Saturation Kinetics Model (SKM) is useful in describing many physiological responses as functions of a limiting dietary nutrient. However, as nutrients are fed at higher dietary concentrations, responses become inhibited and diminish from their usual plateaus. By adding an inhibition constant (Ks) to the SKM in a manner consistent with substrate inhibition (based on enzyme kinetics), it becomes possible to predict the inhibited portions of the nutrient-response curve. To test this, rats were fed diets of graded levels of casein (0-75%) or lysine (0-6.2%), and weight gains and food intakes were measured daily for up to 2 wk. The inhibition form of the SKM was able to predict the complete response range of each experiment, producing a Ks (weight gain) at a dietary level of 50.60% for casein and 7.56% for lysine. It was also possible to set up an upper and lower dietary nutrient concentration that encompassed the 100% response range for each response, thereby giving an inhibition or toxicity index of 2.02 for casein and 4.98 for lysine. This index allows one to set nutritional requirement levels precisely, optimizing responses without moving into inhibiting or toxic ranges of nutrients. Based on growth response curves, require...Continue Reading

Citations

Oct 1, 1993·Journal of the American College of Nutrition·N W Flodin
Jan 1, 1997·The Journal of Nutrition·T M RainsN F Shay
Apr 15, 2005·Journal of Dairy Science·J C Marini, M E Van Amburgh
Jan 14, 2009·The British Journal of Nutrition·Noelie BodinXavier Rollin
Jun 24, 2005·Journal of Animal Physiology and Animal Nutrition·S DänickeK-H Ueberschär
Mar 23, 2012·Animal : an International Journal of Animal Bioscience·A SimongiovanniJ van Milgen
May 23, 2020·Animal : an International Journal of Animal Bioscience·E P SilvaN J Peruzzi
Dec 25, 2002·The American Journal of Clinical Nutrition·William M RandVernon R Young
Jan 1, 1994·Medical Hypotheses·R F Derr, H R Gutmann

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