Mathematical Modeling in Experimental Nutrition

1. Front Matter

   Pages i-xi

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2. Theoretical Considerations in Compartmental Modeling

   1. Front Matter

      Pages 1-1

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   2. Balancing Needs, Efficiency, and Functionality in the Provision of Modeling Software: A Perspective of the NIH WinSAAM Project

      • Peter Greif, Meryl Wastney, Oscar Linares, Ray C. Boston

      Pages 3-20

   3. Compartmental Modeling of Human Lactation

      • Janet A. Novotny, Benjamin Caballero

      Pages 21-33

   4. Modeling Protein Turnover: A Module for Teaching Modeling

      • Heidi A. Johnson

      Pages 35-57

   5. Developing and Testing Integrated Multicompartment Models to Describe a Single-Input Multiple-Output Study Using the SAAM II Software System

      • David M. Foster

      Pages 59-78

   6. Compartmental Models: Theory and Practice Using the SAAM II Software System

      • Claudio Cobelli, David M. Foster

      Pages 79-101

   7. Approaches to Population Kinetic Analysis with Application to Metabolic Studies

      • Paolo Vicini, P. Hugh, R. Barrett, Claudio Cobelli, David M. Foster, Alan Schumitzky

      Pages 103-113

   8. The Mathematics behind Modeling

      • Judah Rosenblatt

      Pages 115-129

   9. Distributing Working Versions of Published Mathematical Models for Biological Systems via the Internet

      • Meryl E. Wastney, D. C. Yang, D. F. Andretta, J. Blumenthal, J. Hylton, N. Canolty et al.

      Pages 131-135

3. Statistical Modeling in Nutrition

   1. Front Matter

      Pages 137-137

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   2. Measurement Error and Dietary Intake

      • Raymond J. Carroll, Laurence S. Freedman, Victor Kipnis

      Pages 139-145

   3. Statistical Models for Quantitative Bioassay

      • Matthew R. Facer, Hans-Georg Müller, Andrew J. Clifford

      Pages 147-171

   4. Statistical Issues in Assay Development and Use

      • David Giltinan

      Pages 173-190

   5. Statistical Tools for the Analysis of Nutrition Effects on the Survival of Cohorts

      • Hans-Georg Müller, Jane-Ling Wang

      Pages 191-203

4. Applications of Modeling

   1. Front Matter

      Pages 205-205

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   2. Development of a Compartmental Model Describing the Dynamics of Vitamin A Metabolism in Men

      • Doris von Reinersdorff, Michael H. Green, Joanne Balmer Green

      Pages 207-223

   3. Compartmental Models of Vitamin A and β-Carotene Metabolism in Women

      • Betty Jane Burri, Jin-Young K. Park

      Pages 225-237

   4. The Dynamics of Folic Acid Metabolism in an Adult Given a Small Tracer Dose of 14C-Folic Acid

      • Andrew J. Clifford, Ali Arjomand, Stephen R. Dueker, Philip D. Schneider, Bruce A. Buchholz, John S. Vogel

      Pages 239-251

   5. Human Zinc Metabolism: Advances in the Modeling of Stable Isotope Data

      • Leland V. Miller, Nancy F. Krebs, K. Michael Hambidge

      Pages 253-269

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.

• Vitamin
• Vitamin A
• cancer
• mathematical modeling
• metabolism
• nutrition
• prevention

`... this book will be very useful as a reference in department libraries or as a text in advanced nutrition and dietetics undergraduate and graduate courses.'
Journal of the American Dietetic Association, 100:3 (2000)

• University of California at Davis, Davis, USA

  Andrew J. Clifford, Hans-Georg Müller

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