Ebook: Mathematical Modeling in Nutrition and the Health Sciences

This volume is the proceedings of the 7^th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book 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. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.

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This volume is the proceedings of the 7^th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book 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. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.
Content:
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 21st 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

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This volume is the proceedings of the 7^th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book 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. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.
Content:
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 21st 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
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