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.

Mathematical Modeling in Nutrition and the Health Sciences 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.

Mathematical Modeling in Nutrition and the Health Sciences presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.

Contents

1. Historical Perspectives and Future Directions
   1. The Minimal Model of Glucose Regulation: A Biography
   2. Cornerstones to Shape Modeling for the 21st Century: Introducing the AKA-Glucose Project

2. Development and Use of Mathematical Models
   3. Aspects of Effective Modeling
   4. Fitting a Mathematical Model to Biological Data: Intracellular Trafficking in Niemann-Pick C Disease
   5. A Saturation Kinetic Model to Teach Balance of Essential Fatty Acids in Nutrition Education

3. Theoretical Modeling Issues
   6. Modeling Processes from Probabilities
   7. Understanding the Relationship Between Carcinogen-Induced DNA Adduct Levels in Distal and Proximal Regions of the Colon

4. Experimental Aspects of Kinetic Data
   8. Methodological Issues in Stable Isotope-Based Kinetic Studies in Children
   9. Intrinsic Labeling of Plants for Bioavailabillity Studies
   10. Elemental Mass Spectrometry for Compartmental Biological Modeling

5. Modeling of Vitamins, Minerals, and Cholesterol
   11. The Use of Model-Based Compartmental Analysis to Study Vitamin A Metabolism in a Non-Steady State
   12. Modeling Short (7 Hour)- and Long (6 Week)- Term Kinetics of Vitamin B-6 Metabolism with Stable Isotopes in Humans
   13. Calcium Utilization in Young Women: New Insights from Modeling
   14. Modeling Cholesterol in Humans: Update and Dealing with the Problem of Exchange In Vivo Using the Blood Cell-Lipoprotein Paradigm

6. Modeling of Protein Metabolism, Energy and Growth
   15. Challenging the Assumptions in Estimating Protein Fractional Synthesis Rate Using a Model of Rodent Protein Turnover
   16. Simulating Patterns of Change in Rates of Secretion of Protein into Milk
   17. Mechanistic Equations to Represent Digestion and Fermentation
   18. Modeling Growth of Cattle for Application within the Structure of the Cornell Net Carbohydrate and Protein System

7. Modeling to Explore Disease
   19. Mathematical Models of Tumor Growth: From Empirical Description to Biological Mechanism
   20. A Systems Modeling Approach to the Study of Retinoid Function: Implications for Evaluation of Retinoids in Cancer Chemoprevention and/or Chemotherapy
   21. Glutamate Metabolism in Primary Cultures of Rat Brain Astrocytes: Rationale and Initial Efforts Toward Developing a Compartmental Model

8. State-of-the-Art Modeling Software
   22. WinSAAM: Application and Explanation
   23. STATA: A Statistical Analysis System for Examining Biomedical Data
   24. Using Advanced Continuous Simulation Language (ACSL) to Simulate, Solve, and Fit Mathematical Models in Nutrition
   25. Solving and Fitting France's Rumen Model with MLAB
   26. STELLA Research Software for Teaching Concepts of Nutrient Dynamics in the Undergraduate Classroom
   27. A Review of 'Scientist' Software

Index

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