Mathematical Modeling in Nutrition and the Health Sciences

nutritionmodeling(CanoltyandCain, 1985;Hoover-PlowandChandra, 1988), amino acids and carbohydrates (Aburnrad, 1991), minerals (Siva Subramanian and Wastney, 1995),vitamins,proteins,andmodelingtheory(CoburnandTownsend, 1996), and physiological compartmental modeling (Clifford and Muller, 1998). The seventh conference in the series was held at The Pennsylvania State University from July 29 throughAugust1,2000. Themeetingbeganwithaninstructiveandentertainingkeynote address by Professor Britton Chance, Eldridge Reeves Johnson University Professor Emeritus of Biophysics, Physical Chemistry, and Radiologic Physics, University of Pennsylvania. Dr.

Historical Perspectives and Future Directions.- The Minimal Model of Glucose Regulation: a Biography..- Cornerstones to Shape Modeling for the 21STCentury: Introducing the Aka-Glucose Project.- Development and Use of Mathematical Models.- Aspects of Effective Modeling.- Fitting a Mathematical Model to Biological Data: Intracellular Trafficking in Niemann-Pick C Disease.- A Saturation Kinetic Model to Teach Balance of Essential Fatty Acids in Nutrition Education.- Theoretical Modeling Issues.- Modeling Processes from Probabilities.- Understanding the Relationship Between Carcinogen-Induced Dna Adduct Levels in Distal and Proximal Regions of the Colon.- Experimental Aspects of Kinetic Data.- Methodological Issues in Stable Isotope- Based Kinetic Studies in Children.- Intrinsic Labeling of Plants for Bioavailability Studies.- Elemental Mass Spectrometry for Compartmental Biological Modeling.- Modeling of Vitamins, Minerals, and Cholesterol.- The Use of Model-Based Compartmental Analysis to Study Vitamin a Metabolism in a Non-Steady State.- Modeling Short (7 Hour)- and Long (6 Week)-Term Kinetics of Vitamin B-6 Metabolism with Stable Isotopes in Humans.- Calcium Utilization in Young Women: New Insights from Modeling.- Modeling Cholesterol in Humans: Update and Dealing with the Problem of Exchange in Vivo Using the Blood Cell-Lipoprotein Paradigm.- Modeling of Protein Metabolism, Energy, and Growth.- Challenging the Assumptions in Estimating Protein Fractional Synthesis Rate Using a Model of Rodent Protein Turnover.- Simulating Patterns of Change in Rates of Secretion of Protein into Milk.- Mechanistic Equations to Represent Digestion and Fermentation.- Modeling Growth of Cattle for Application within the Structure of the Cornell Net Carbohydrate and Protein System.- Modeling to Explore Disease.- Mathematical Models of Tumor Growth: from Empirical Description to Biological Mechanism.- A Systems Modeling Approach to the Study of Retinoid Function: Implications for Evaluation of Retinoids in Cancer Chemoprevention and/or Chemotherapy.- Glutamate Metabolism in Primary Cultures of Rat Brain Astrocytes: Rationale and Initial Efforts Toward Developing a Compartmental Model.- State-of-the-Art Modeling Software.- WinSAAM: Application and Explanation.- Stata: a Statistical Analysis System for Examining Biomedical Data.- Using Advanced Continuous Simulation Language (Acsl) to Simulate, Solve, and Fit Mathematical Models in Nutrition.- Solving and Fitting France's Rumen Model with Mlab.- Stella® Research Software for Teaching Concepts of Nutrient Dynamics in the Undergraduate Classroom.- A Review of 'Scientist' Software.