Mathematical Modeling in Nutrition and the Health Sciences

Front Matter....Pages i-xxiv
Front Matter....Pages N1-N1
The Minimal Model of Glucose Regulation: A Biography....Pages 1-19
Cornerstones to Shape Modeling for the 21 st Century: Introducing the AKA-Glucose Project....Pages 21-42
Front Matter....Pages N2-N2
Aspects of Effective Modeling....Pages 43-61
Fitting a Mathematical Model to Biological Data: Intracellular Trafficking in Niemann-Pick C Disease....Pages 63-75
A Saturation Kinetic Model to Teach Balance of Essential Fatty Acids in Nutrition Education....Pages 77-86
Front Matter....Pages N3-N3
Modeling Processes from Probabilities....Pages 87-103
Understanding the Relationship between Carcinogen-Induced DNA Adduct Levels in Distal and Proximal Regions of the Colon....Pages 105-116
Front Matter....Pages N4-N4
Methodological Issues in Stable Isotope- Based Kinetic Studies in Children....Pages 117-130
Intrinsic Labeling of Plants for Bioavailability Studies....Pages 131-139
Elemental Mass Spectrometry for Compartmental Biological Modeling....Pages 141-158
Front Matter....Pages N5-N5
The Use of Model-Based Compartmental Analysis to Study Vitamin A Metabolism in a Non-Steady State....Pages 159-172
Modeling Short (7 hour)- and Long (6 week)-Term Kinetics of Vitamin B-6 Metabolism with Stable Isotopes in Humans....Pages 173-192
Calcium Utilization in Young Women: New Insights from Modeling....Pages 193-205
Modeling Cholesterol in Humans: Update and Dealing with the Problem of Exchange in Vivo Using the Blood Cell-Lipoprotein Paradigm....Pages 207-219
Front Matter....Pages N6-N6
Challenging the Assumptions in Estimating Protein Fractional Synthesis Rate Using a Model of Rodent Protein Turnover....Pages 221-237
Simulating Patterns of Change in Rates of Secretion of Protein into Milk....Pages 239-252
Mechanistic Equations to Represent Digestion and Fermentation....Pages 253-265
Modeling Growth of Cattle for Application within the Structure of the Cornell Net Carbohydrate and Protein System....Pages 267-285
Front Matter....Pages N7-N7
Mathematical Models of Tumor Growth: From Empirical Description to Biological Mechanism....Pages 287-300
A Systems Modeling Approach to the Study of Retinoid Function: Implications for Evaluation of Retinoids in Cancer Chemoprevention and/or Chemotherapy....Pages 301-316
Front Matter....Pages N7-N7
Glutamate Metabolism in Primary Cultures of Rat Brain Astrocytes: Rationale and Initial Efforts Toward Developing a Compartmental Model....Pages 317-341
Front Matter....Pages N8-N8
WinSAAM: Application and Explanation of Use....Pages 343-351
STATA: A Statistical Analysis System for Examining Biomedical Data....Pages 353-369
Using Advanced Continuous Simulation Language (ACSL) to Simulate, Solve, and Fit Mathematical Models in Nutrition....Pages 371-388
Solving and Fitting France’s Rumen Model with MLAB....Pages 389-400
Stella® Research Software for Teaching Concepts of Nutrient Dynamics in the Undergraduate Classroom....Pages 401-406
A Review of ‘Scientist’ Software....Pages 407-413
Back Matter....Pages 415-420