Mathematical Modeling in Experimental Nutrition

Mathematical Modeling in Experimental Nutrition

Author: Andrew J. Clifford

Publisher: Springer Science & Business Media

Published: 2013-11-21

Total Pages: 413

ISBN-13: 1489919597

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Nutrients have been recognized as essential for maximum growth, successful reproduction, and infection prevention since the 1940s; since that time, the lion's share of nutrient research has focused on defining their role in these processes. Around 1990, however, a major shift began in the way that researchers viewed some nutrients particularly the vitamins. This shift was motivated by the discovery that modest declines in vitamin nutritional status are associated with an increased risk of ill-health and disease (such as neural tube defects, heart disease, and cancer), especially in those populations or individuals who are genetically predisposed. In an effort to expand upon this new understanding of nutrient action, nutritionists are increasingly turning their focus to the mathematical modeling of nutrient kinetic data. The availability of suitably-tagged (isotope) nutrients (such as B-carotene, vitamin A, folate, among others), sensitive analytical methods to trace them in humans (mass spectrometry and accelerator mass spectrometry), and powerful software (capable of solving and manipulating differential equations efficiently and accurately), has allowed researchers to construct mathematical models aimed at characterizing the dynamic and kinetic behavior of key nutrients in vivo in humans at an unparalleled level of detail.


Mathematical Modeling in Nutrition and the Health Sciences

Mathematical Modeling in Nutrition and the Health Sciences

Author: Janet A. Novotny

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 437

ISBN-13: 1441990194

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This volume is the proceedings of the 7th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book addresses the determination of optimal intakes of nutrients and food components to provide lifelong health and reduce incidence of disease. Mathematical modelling provides a means of rigorously defining the functions of a system and using a variety of conditions to stimulate responses. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.


Mathematical Modeling in Experimental Nutrition: Vitamins, Proteins, Methods

Mathematical Modeling in Experimental Nutrition: Vitamins, Proteins, Methods

Author:

Publisher: Academic Press

Published: 1996-12-02

Total Pages: 385

ISBN-13: 0080567851

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This book developed from a series of conferences to facilitate the application of mathematical modeling to experimental nutrition. As nutrition science moves from prevention of gross deficiencies to identifying requirements for optimum long term health, more sophisticated methods of nutritional assessment will be needed. Collection and evaluation of kinetic data may be one such method.This books opens with chapters giving specific examples of the application of modeling techniques to vitamin A, carotenoids, folate, vitamin b-6, glycogen phosphorylase, transthyretin, amino acids, and energy metabolism. Obtaining kinetic data on internal processes is a major challenge; therefore, the text includes chapters on the use of microdialysis and ultrafiltration, use of membrane vesicles, and culture of mammary tissue.Many of the authors use the Simulation, Analysis and Modeling program which allows compartmental models to be described without specifying the required differential equations. The final sections of the book, however, present some more mathematical descriptions of physiological processes, including bioperiodicity, metabolic control, and membrane transport; discussions of some computational aspects of modeling such as parameter distributions, linear integrators and identifiability; and alternative mathematical approaches such as neural networks and graph theory. - Specific, detailed examples of applications of modeling to vitamins, proteins, amino acids, and energy metabolism - Novel methods for collecting kinetic data--microdialysis, ultrafiltration, membrane vesicles, and the culture of mammary tissue - Mathematical treatment of complex metabolic processes including bioperiodicity, metabolic control, and membrane transport - Computational approaches to distribution of kinetic parameters, evaluation of linear integrators, and identifiability - Alternative mathematical approaches--neural networks and graph theory - Detailed descriptions of the application of modeling to a variety of nutrients


Mathematical and Statistical Methods in Food Science and Technology

Mathematical and Statistical Methods in Food Science and Technology

Author: Daniel Granato

Publisher: John Wiley & Sons

Published: 2014-03-03

Total Pages: 540

ISBN-13: 1118433688

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Mathematical and Statistical Approaches in Food Science and Technology offers an accessible guide to applying statistical and mathematical technologies in the food science field whilst also addressing the theoretical foundations. Using clear examples and case-studies by way of practical illustration, the book is more than just a theoretical guide for non-statisticians, and may therefore be used by scientists, students and food industry professionals at different levels and with varying degrees of statistical skill.


Handbook of Vitamins

Handbook of Vitamins

Author: Robert B. Rucker

Publisher: CRC Press

Published: 2007-06-08

Total Pages: 608

ISBN-13: 1420005804

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Thoroughly revised and updated, Handbook of Vitamins highlights the recent research in vitamins and gene expression, vitamin-dependent genes, and vitamin effect on DNA stability. This fourth edition includes new chapters on vitamin-dependent modification of chromatin, analysis of vitamin metabolism using accelerated mass spectrometry, and diet


Mathematical Modelling in Animal Nutrition

Mathematical Modelling in Animal Nutrition

Author: J. France

Publisher: CABI

Published: 2008-01-01

Total Pages: 590

ISBN-13: 1845933591

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Mathematical modelling is increasingly applicable to the practical sciences. Here, mathematical approaches are applied to the study of mechanisms of digestion and metabolism in primary animal species. It also explores common themes between species, and provides an integrated approach to mathematical modelling in animal nutrition.


Mathematical Modelling in Animal Nutrition

Mathematical Modelling in Animal Nutrition

Author: J. France

Publisher: CABI

Published: 2008

Total Pages: 588

ISBN-13: 1845933540

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The primary purpose of each of the subsequent chapters of this book is to promulgate quantitative approaches concerned with elucidating mechanisms in a particular area of the nutrition of ruminants, pigs, poultry, fish or pets. Given the diverse scientific backgrounds of the contributors of each chapter (the chapters in the book are arranged according to subject area), the imposition of a rigid format for presenting mathematical material has been eschewed, though basic mathematical conventions are adhered to.


Kinetic Models of Trace Element and Mineral Metabolism During Development

Kinetic Models of Trace Element and Mineral Metabolism During Development

Author: K. N. Siva Subramanian

Publisher: CRC Press

Published: 2020-01-29

Total Pages: 420

ISBN-13: 1000714314

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Kinetic models are becoming standard tools in the research of biological systems. They are used to represent hypotheses, analyze data, and design experiments to maximize the information obtained from a study. Kinetic Models of Trace Element and Mineral Metabolism During Development describes models for calcium, chromium, copper, iron, iodide, lead, mercury, selenium, zinc, and others in health and disease.


Mathematical Models of Crop Growth and Yield

Mathematical Models of Crop Growth and Yield

Author: Allen R. Overman

Publisher: CRC Press

Published: 2002-08-27

Total Pages: 341

ISBN-13: 0824743598

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Highlighting effective, analytical functions that have been found useful for the comparison of alternative management techniques to maximize water and nutrient resources, this reference describes the application of viable mathematical models in data analysis to increase crop growth and yields. Featuring solutions to various differential equations, the book covers the characteristics of the functions related to the phenomenological growth model. Including more than 1300 literature citations, display equations, tables, and figures and outlining an approach to mathematical crop modeling, Mathematical Models of Crop Growth and Yield will prove an invaluable resource.