Mathematical Modeling in Experimental Nutrition: Vitamins, Proteins, Methods

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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. Key Features * 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

Author(s): Stephen P. Coburn and Douglas W. Townsend (Eds.)
Series: Advances in Food and Nutrition Research 40
Edition: 1
Publisher: Academic Press
Year: 1996

Language: English
Pages: ii-xxi, 3-362

Content:
Advisory Board
Page ii

Edited by
Page iii

Copyright page
Page iv

Contributors
Pages xiii-xvii

Preface
Pages xix-xx

Editor'S Note: Availability of the Simulation, Analysis, and Modeling Program
Page xxi

Chapter 1 Quantitative And Conceptual Contributions Of Mathematical Modeling To Current Views On Vitamin A Metabolism, Biochemistry, And Nutrition Original Research Article
Pages 3-24
Michael H. Green, Joanne Balmer Green

Chapter 2 Mathematical Modeling In Nutrition: Constructing A Physiologic Compartmental Model Of The Dynamics Of β-Carotene Metabolism Original Research Article
Pages 25-54
Janet A. Novotny, Loren A. Zech, Harold C. Furr, Stephen R. Dueker, Andrew J. Clifford

Chapter 3 Experimental Approaches To The Study Of β-Carotene Metabolism: Potential of A13C Tracer Approach To Modeling β-Carotene Kinetics In Humans Original Research Article
Pages 55-79
Joy E. Swanson, Yen-Yi Wang, Keith J. Goodman, Robert S. Parker

Chapter 4 Modeling Of Folate Metabolism Original Research Article
Pages 81-93
Jesse F. Gregory III, Karen C. Scott

Chapter 5 Molecular Biology In Nutrition Research: Modeling Of Folate Metabolism Original Research Article
Pages 95-106
Bi-Fong Lin, Jong-Sang Kim, Juei-Chuan Hsu, Charles Osborne, Karen Lowe, Timothy Garrow, Barry Shane

Chapter 6 Modeling Vitamin B6 Metabolism Original Research Article
Pages 107-132
Stephen P. Coburn

Chapter 7 Interrelationships Between Metabolism Of Glycogen Phosphorylase And Pyridoxal Phosphate—Implications In Mcardle'S Disease Original Research Article
Pages 135-147
Robert J. Beynon, Clare Bartram, Angela Flannery, Richard P. Evershed, Deborah Leyland, Pamela Hopkins, Veronica Toescu, Joanne Phoenix, Richard H.T. Edwards

Chapter 8 Metabolism Of Normal And Met30 Transthyretin Original Research Article
Pages 149-155
Denise Hanes, Loren A. Zech, Jill Murrell, Merrill D. Benson

Chapter 9 Use Of A Four Parameter Logistic Equation And Parameter Sharing To Evaluate Animal Responses To Graded Levels Of Nitrogen Or Amino Acids Original Research Article
Pages 157-167
M.J. Gahl, T.D. Crenshaw, N.J. Benevenga, M.D. Finke

Chapter 10 Total Energy Expenditure Of Free-Living Humans Can Be Estimated With The Doubly Labeled Water Method Original Research Article
Pages 171-180
William W. Wong

Chapter 11 Microdialysis And Ultrafiltration Original Research Article
Pages 183-196
Elsa M. Janle, Peter T. Kissinger

Chapter 12 Membrane Vesicles Original Research Article
Pages 197-206
Pierre Proulx

Chapter 13 Culture Of Mammary Tissue: Glucose Transport Processes Original Research Article
Pages 207-213
Jeffrey D. Turner, Annick Delaquis, Christiane Malo

Chapter 14 Analysis Of Bioperiodicity In Physiological Responses Original Research Article
Pages 217-226
L. Preston Mercer, Danita Saxon Kelley

Chapter 15 Nutrient-Response: A “Top Down” Approach To Metabolic Control Original Research Article
Pages 227-241
Arthur R. Schulz

Chapter 16 Modeling Membrane Transport Original Research Article
Pages 243-262
Richard B. King

Chapter 17 Estimation and use of Kinetic Parameter Distributions in Metabolism and Nutrition Original Research Article
Pages 265-279
William F. Beltz

Chapter 18 Essential Numerical Supports for Kinetic Modeling Software: Linear Integrators Original Research Article
Pages 281-303
R.C. Boston, T. McNabb, P.C. Greif, L.A. Zech

Chapter 19 Identifiability Original Research Article
Pages 305-321
John A. Jacquez

Chapter 20 Dynamic Systems And Neural Networks: Modeling In Physiology And Medicine Original Research Article
Pages 323-338
Samir I. Sayegh

Chapter 21 Graph Theoretical Methods for Physiologically Based Modeling Original Research Article
Pages 339-352
Hong Zhang, Zhen Zhang

Index
Pages 353-362