Contributors |
Preface |
Volumes in Series |
Phase Response Curves: Elucidating the Dynamics of Coupled Oscillators / A. Granada ; R. M. Hennig ; B. Ronacher ; A. Kramer ; H. Herzel1: |
Introduction |
Estimation of Phase Response Curves / 2: |
Specific Applications / 3: |
Discussion / 4: |
Acknowledgments / Appendix I: |
References |
Multiple Ion Binding Equilibria, Reaction Kinetics, and Thermodynamics in Dynamic Models of Biochemical Pathways / Kalyan C. Vinnakota ; Fan Wu ; Martin J. Kushmerick ; Daniel A. Beard |
Biochemical Conventions and Calculations |
Application to Physiological Systems |
Acknowledgment |
Analytical Methods for the Retrieval and Interpretation of Continuous Glucose Monitoring Data in Diabetes / Boris Kovatchev ; Marc Breton ; William Clarke |
Decomposition of Sensor Errors |
Measures of Average Glycemia and Deviation from Target |
Risk and Variability Assessment |
Measures and Plots of System Stability / 5: |
Time-Series-Based Prediction of Future BG Values / 6: |
Conclusions / 7: |
Analysis of Heterogeneity in Molecular Weight and Shape by Analytical Ultracentrifugation Using Parallel Distributed Computing / Borries Demeler ; Emre Brookes ; Luitgard Nagel-Steger |
Methodology |
Job Submission |
Results |
Discrete Stochastic Simulation Methods for Chemically Reacting Systems / Yang Cao ; David C. Samuels |
The Chemical Master Equation |
The Stochastic Simulation Algorithm |
The Tau-Leaping Method |
Measurement of Simulation Error |
Software and Two Numerical Experiments |
Conclusion |
Analyses for Physiological and Behavioral Rhythmicity / Harold B. Dowse |
Types of Biological Data and Their Acquisition |
Analysis in the Time Domain |
Analysis in the Frequency Domain |
Time/Frequency Analysis and the Wavelet Transform |
Signal Conditioning |
Strength and Regularity of a Signal |
A Computational Approach for the Rational Design of Stable Proteins and Enzymes: Optimization of Surface Charge-Charge Interactions / Katrina L. Schweiker ; George I. Makhatadze8: |
Computational Design of Surface Charge-Charge Interactions |
Experimental Verification of Computational Predictions |
Closing Remarks |
Efficient Computation of Confidence Intervals for Bayesian Model Predictions Based on Multidimensional Parameter Space / Amber D. Smith ; Alan Genz ; David M. Freiberger ; Gregory Belenky ; Hans P. A. Van Dongen |
Height of the Probability Density Function at the Boundary of the Smallest Multidimensional Confidence Region |
Approximating a One-Dimensional Slice of the Probability Density Function by Means of Normal Curve Spline Pieces |
Locating the Boundary of the Smallest Multidimensional Confidence Region |
Finding the Minimum and Maximum of the Prediction Model over the Confidence Region |
An Application: Bayesian Forecasting of Cognitive Performance Impairment during Sleep Deprivation |
95% Confidence Intervals for Bayesian Predictions of Cognitive Performance Impairment during Sleep Deprivation |
Appendix |
Analyzing Enzymatic pH Activity Profiles and Protein Titration Curves Using Structure-Based pK<a/ Calculations and Titration Curve Fitting / Jens Erik Nielsen9: |
Calculating the pH Dependence of Protein Characteristics |
Setting up and Running a pKa/ Calculation |
Analyzing the Results of a pKa/ Calculation |
How Reliable Are Calculated pKa/ Values? |
Predicting pH Activity Profiles |
Decomposition Analysis |
Predicting Protein Stability Profiles |
Fitting pH Titration Curves, pH Activity Profiles, and pH Stability Profiles |
Least Squares in Calibration: Weights, Nonlinearity, and Other Nuisances / Joel Tellinghuisen10: |
Review of Least Squares |
Experiment Design Using Vprior/-Numerical Illustrations |
Evaluation and Comparison of Computational Models / Jay I. Myung ; Yun Tang ; Mark A. Pitt11: |
Conceptual Overview of Model Evaluation and Comparison |
Model Comparison Methods |
Model Comparison at Work: Choosing between Protein Folding Models |
Desegregating Undergraduate Mathematics and Biology - Interdisciplinary Instruction with Emphasis on Ongoing Biomedical Research / Raina Robeva12: |
Course Description |
Mathematical Algorithms for High-Resolution DNA Melting Analysis / Robert Palais ; Carl T. Wittwer13: |
Extracting Melting Curves from Raw Fluorescence |
Methods Used for Clustering and Classifying Melting Curves by Genotype |
Methods Used for Modeling Melting Curves |
Biomathematical Modeling of Pulsatile Hormone Secretion: A Historical Perspective / William S. Evans ; Leon S. Farhy ; Michael L. Johnson14: |
Early Attempts to Identify and Characterize Pulsatile Hormone Release |
Impact of Sampling Protocol and Pulse Detection Algorithm on Hormone Pulse Detection |
Application of Deconvolution Procedures for the Identification and Characterization of Hormone Secretory Bursts |
Limitations and Subsequent Improvements in Deconvolution Procedures |
Evaluation of Pulsatile and Basal Hormone Secretion Using a Stochastic Differential Equations Model |
Characterization of Regulation of Signal and Response Elements: Estimation of Approximate Entropy |
Evaluation of Coupled Systems |
Evaluation of Hormonal Networks with Feedback Interactions |
Future Directions |
AutoDecon: A Robust Numerical Method for the Quantification of Pulsatile Events / Lenore Pipes ; Paula P. Veldhuis ; Ralf Nass ; Michael O. Thorner15: |
Methods |
Modeling Fatigue over Sleep Deprivation, Circadian Rhythm, and Caffeine with a Minimal Performance Inhibitor Model / Patrick L. Benitez ; Gary H. Kamimori ; Thomas J. Balkin ; Alexander Greene16: |
Author Index |
Subject Index |