Analysis of nutrient-response relationships. 1987

A R Schulz
Department of Biochemistry, School of Medicine, Indiana University, Indianapolis 46223.

A general mathematical model is proposed to relate biological response to nutrient intake. The mathematical expression is r = sigma k0 alpha ini/sigma l0 beta ini, k less than or equal to l, alpha 0 less than greater than or equal to 0, alpha 1 ... alpha k greater than or equal to 0, beta zero ... beta l greater than or equal to 0. The model provides for saturation behavior with respect to nutrient intake, but it also provides for a wide range of shapes to the nutrient-response curve. The characteristics of the nutrient-response curve, as well as the characteristics of transformations of the primary equation, are discussed in detail. Graphical methods are discussed for obtaining quantitative estimates of parameters that describe the nutrient-response relationship. The model is compared with other models used currently in nutrient-response analysis. The steps involved in the graphical procedure are summarized.

UI MeSH Term Description Entries
D007700 Kinetics The rate dynamics in chemical or physical systems.
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D009747 Nutritional Physiological Phenomena The processes and properties of living organisms by which they take in and balance the use of nutritive materials for energy, heat production, or building material for the growth, maintenance, or repair of tissues and the nutritive properties of FOOD. Nutrition Physiological Phenomena,Nutrition Physiology,Nutrition Processes,Nutritional Physiology Phenomena,Nutrition Phenomena,Nutrition Physiological Concepts,Nutrition Physiological Phenomenon,Nutrition Process,Nutritional Phenomena,Nutritional Physiological Phenomenon,Nutritional Physiology,Nutritional Physiology Concepts,Nutritional Physiology Phenomenon,Nutritional Process,Nutritional Processes,Concept, Nutrition Physiological,Concept, Nutritional Physiology,Concepts, Nutrition Physiological,Concepts, Nutritional Physiology,Nutrition Physiological Concept,Nutritional Physiology Concept,Phenomena, Nutrition,Phenomena, Nutrition Physiological,Phenomena, Nutritional,Phenomena, Nutritional Physiological,Phenomena, Nutritional Physiology,Phenomenon, Nutrition Physiological,Phenomenon, Nutritional Physiological,Phenomenon, Nutritional Physiology,Physiological Concept, Nutrition,Physiological Concepts, Nutrition,Physiological Phenomena, Nutrition,Physiological Phenomena, Nutritional,Physiological Phenomenon, Nutrition,Physiological Phenomenon, Nutritional,Physiology Concept, Nutritional,Physiology Concepts, Nutritional,Physiology Phenomena, Nutritional,Physiology Phenomenon, Nutritional,Physiology, Nutrition,Physiology, Nutritional,Process, Nutrition,Process, Nutritional,Processes, Nutrition,Processes, Nutritional
D001835 Body Weight The mass or quantity of heaviness of an individual. It is expressed by units of pounds or kilograms. Body Weights,Weight, Body,Weights, Body
D004032 Diet Regular course of eating and drinking adopted by a person or animal. Diets
D004044 Dietary Proteins Proteins obtained from foods. They are the main source of the ESSENTIAL AMINO ACIDS. Proteins, Dietary,Dietary Protein,Protein, Dietary
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia

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