
Computer Methods Part A
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Content
- Front Cover
- Computer Methods, Part A
- Copyright Page
- Contents
- Contributors
- Preface
- Methods in Enzymology
- Chapter 1: Phase Response Curves: Elucidating the Dynamics of Coupled Oscillators
- 1. Introduction
- 2. Estimation of Phase Response Curves
- 3. Specific Applications
- 4. Discussion
- Appendix I
- Appendix II
- Acknowledgments
- References
- Chapter 2: Multiple Ion Binding Equilibria, Reaction Kinetics, and Thermodynamics in Dynamic Models of Biochemical Pathways
- 1. Introduction
- 2. Biochemical Conventions and Calculations
- 3. Application to Physiological Systems
- 4. Discussion
- Acknowledgment
- References
- Chapter 3: Analytical Methods for the Retrieval and Interpretation of Continuous Glucose Monitoring Data in Diabetes
- 1. Introduction
- 2. Decomposition of Sensor Errors
- 3. Measures of Average Glycemia and Deviation from Target
- 4. Risk and Variability Assessment
- 5. Measures and Plots of System Stability
- 6. Time-Series-Based Prediction of Future BG Values
- 7. Conclusions
- Acknowledgments
- References
- Chapter 4: Analysis of Heterogeneity in Molecular Weight and Shape by Analytical Ultracentrifugation Using Parallel Distributed Computing
- 1. Introduction
- 2. Methodology
- 3. Job Submission
- 4. Results
- 5. Conclusions
- Acknowledgments
- References
- Chapter 5: Discrete Stochastic Simulation Methods for Chemically Reacting Systems
- 1. Introduction
- 2. The Chemical Master Equation
- 3. The Stochastic Simulation Algorithm
- 4. The Tau-Leaping Method
- 5. Measurement of Simulation Error
- 6. Software and Two Numerical Experiments
- 7. Conclusion
- Acknowledgments
- References
- Chapter 6: Analyses for Physiological and Behavioral Rhythmicity
- 1. Introduction
- 2. Types of Biological Data and their Acquisition
- 3. Analysis in the Time Domain
- 4. Analysis in the Frequency Domain
- 5. Time/Frequency Analysis and the Wavelet Transform
- 6. Signal Conditioning
- 7. Strength and Regularity of a Signal
- 8. Conclusions
- References
- Chapter 7: A Computational Approach for the Rational Design of Stable Proteins and Enzymes: Optimization of Surface Charge-Charge Interactions
- 1. Introduction
- 2. Computational Design of Surface Charge-Charge Interactions
- 3. Experimental Verification of Computational Predictions
- 4. Closing Remarks
- Acknowledgments
- References
- Chapter 8: Efficient Computation of Confidence Intervals for Bayesian Model Predictions Based on Multidimensional Parameter Space
- 1. Introduction
- 2. Height of the Probability Density Function at the Boundary of the Smallest Multidimensional Confidence Region
- 3. Approximating a One-Dimensional Slice of the Probability Density Function by Means of Normal Curve Spline Pieces
- 4. Locating the Boundary of the Smallest Multidimensional Confidence Region
- 5. Finding the Minimum and Maximum of the Prediction Model over the Confidence Region
- 6. An Application: Bayesian Forecasting of Cognitive Performance Impairment during Sleep Deprivation
- 7. 95% Confidence Intervals for Bayesian Predictions of Cognitive Performance Impairment during Sleep Deprivation
- 8. Conclusion
- Acknowledgments
- Appendix Proof that the Boundary of the Confidence Region for a Multidimensional, Continuous PDF is a Level Contour
- References
- Chapter 9: Analyzing Enzymatic pH Activity Profiles and Protein Titration Curves Using Structure-Based pKa Calculations and Titration Curve Fitting
- 1. Introduction
- 2. Calculating the pH Dependence of Protein Characteristics
- 3. Setting up and Running a pKa Calculation
- 4. Analyzing the Results of a pKa Calculation
- 5. How Reliable are Calculated pKa Values?
- 6. Predicting pH Activity Profiles
- 7. Decomposition Analysis
- 8. Predicting Protein Stability Profiles
- 9. Fitting pH Titration Curves, pH Activity Profiles, and pH Stability Profiles
- 10. Conclusion
- References
- Chapter 10: Least Squares in Calibration: Weights, Nonlinearity, and Other Nuisances
- 1. Introduction
- 2. Review of Least Squares
- 3. Experiment Design Using Vprior - Numerical Illustrations
- 4. Conclusion
- References
- Chapter 11: Evaluation and Comparison of Computational Models
- 1. Introduction
- 2. Conceptual Overview of Model Evaluation and Comparison
- 3. Model Comparison Methods
- 4. Model Comparison at Work: Choosing between Protein Folding Models
- 5. Conclusions
- Acknowledgments
- References
- Chapter 12: Desegregating Undergraduate Mathematics and Biology-Interdisciplinary Instruction with Emphasis on Ongoing Biomedical Research
- 1. Introduction
- 2. Course Description
- 3. Discussion
- Acknowledgments
- References
- Chapter 13: Mathematical Algorithms for High-Resolution DNA Melting Analysis
- 1. Introduction
- 2. Extracting Melting Curves from Raw Fluorescence
- 3. Methods Used for Clustering and Classifying Melting Curves by Genotype
- 4. Methods Used for Modeling Melting Curves
- References
- Chapter 14: Biomathematical Modeling of Pulsatile Hormone Secretion: A Historical Perspective
- 1. Introduction
- 2. Early Attempts to Identify and Characterize Pulsatile Hormone Release
- 3. Impact of Sampling Protocol and Pulse Detection Algorithm on Hormone Pulse Detection
- 4. Application of Deconvolution Procedures for the Identification and Characterization of Hormone Secretory Bursts
- 5. Limitations and Subsequent Improvements in Deconvolution Procedures
- 6. Evaluation of Pulsatile and Basal Hormone Secretion Using a Stochastic Differential Equations Model
- 7. Characterization of Regulation of Signal and Response Elements: Estimation of Approximate Entropy
- 8. Evaluation of Coupled Systems
- 9. Evaluation of Hormonal Networks with Feedback Interactions
- 10. Future Directions
- Acknowledgments
- References
- Chapter 15: Autodecon: a Robust Numerical Method for the Quantification of Pulsatile Events
- 1. Introduction
- 2. Methods
- 3. Results
- 4. Discussion
- Acknowledgments
- References
- Chapter 16: Modeling Fatigue over Sleep Deprivation, Circadian Rhythm, and Caffeine with a Minimal Performance Inhibitor Model
- 1. Introduction
- 2. Methods
- 3. Results
- 4. Discussion
- Acknowledgments
- References
- Author Index
- Subject Index
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