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Intro; Preface; Contents; The Shape of Things to Come-Using Geometric and Morphometric Analyses to Identify Archaeological Starch Grains; 1 Introduction; 2 Experimental Methods; 2.1 Geometric and Morphometric Features; 3 Starch Grain Classification; 4 Discussion; References; New Mathematical Models of Antimalarial Drug Action to Improve Drug Dosing Regimens; 1 Introduction; 2 Model; 2.1 Results; References; Biodiversity and the Ecology of Emerging Infectious Diseases; 1 Introduction; 2 The Model; 3 Conclusion; References; Reaction-Diffusion Equations and Cellular Automata; 1 Introduction
2 Allen-Cahn Cellular Automaton3 Gray-Scott Cellular Automaton; 4 Concluding Remarks; References; Geometry of Timelike Minimal Surfaces and Null Curves; 1 Introduction; 2 Preliminaries; 3 The Behavior of the Gaussian Curvature Near Regular Points; 4 The Behavior of the Gaussian Curvature Near Singular Points; References; Accounting for Modelling Errors in Parameter Estimation Problems: The Bayesian Approximation Error Approach; 1 Introduction; 2 Theory; 3 Homogenisation Example; References; Reducing Sludge Formation in the Activated Sludge Process
1 The History of the Activated Sludge Process2 Too Much of Anything Is Bad; 2.1 Sludge Reduction Through Sludge Disintegration; 2.2 Sludge Reduction Through Predation; 3 Conclusions; References; Incorporating Prior Knowledge in the Calibration of Hydrological Models for Water Resources Forecasting; 1 Introduction; 2 Method; 2.1 Likelihood Function; 2.2 Priors and Sampling Strategy; 2.3 Validation Strategy; 2.4 Test Catchments; 3 Results; 4 Discussion and Conclusion; References; Maintaining Reliable Agriculture Productivity and Goyder's Line of Reliable Rainfall; 1 Introduction; 2 Rainfall
2.1 Goyder's Line of Reliable Rainfall3 Modelling Accumulated Rainfall; 3.1 The Gamma Distribution; 3.2 Results; 4 Conclusions; References; Vertex Representation of Convex Hulls for Fast Evaluation of Boundary Constraints in Model-Based Calibration for Automotive Engines; 1 Introduction; 2 Application of the Convex Hull: An Optimization Problem in the MBC Response Surface Methodology; 2.1 Convex Hull and Optimization Problems in MBC; 2.2 Numerical Experiment for a Diesel Engine Data Set; 3 Conclusion; References
Mathematical Modeling of Rock Pore Geometry and Mineralization: Applications of Persistent Homology and Random Walk1 Introduction; 2 Persistent Homology for Rock Pore Modeling; 2.1 Methods; 2.2 Results and Discussions; 3 Random Walk in Rock Mineralization Modeling; 3.1 Methods; 3.2 Results and Discussions; 4 Conclusions; References; Statistical Machine Learning for Agriculture and Human Health Care Based on Biomedical Big Data; 1 Introduction; 2 Methods for Metabolic Pathway Reconstruction; 2.1 Formalism; 2.2 Predictive Model; 2.3 L1-Regularized Pairwise Support Vector Machine (L1SVM)
2 Allen-Cahn Cellular Automaton3 Gray-Scott Cellular Automaton; 4 Concluding Remarks; References; Geometry of Timelike Minimal Surfaces and Null Curves; 1 Introduction; 2 Preliminaries; 3 The Behavior of the Gaussian Curvature Near Regular Points; 4 The Behavior of the Gaussian Curvature Near Singular Points; References; Accounting for Modelling Errors in Parameter Estimation Problems: The Bayesian Approximation Error Approach; 1 Introduction; 2 Theory; 3 Homogenisation Example; References; Reducing Sludge Formation in the Activated Sludge Process
1 The History of the Activated Sludge Process2 Too Much of Anything Is Bad; 2.1 Sludge Reduction Through Sludge Disintegration; 2.2 Sludge Reduction Through Predation; 3 Conclusions; References; Incorporating Prior Knowledge in the Calibration of Hydrological Models for Water Resources Forecasting; 1 Introduction; 2 Method; 2.1 Likelihood Function; 2.2 Priors and Sampling Strategy; 2.3 Validation Strategy; 2.4 Test Catchments; 3 Results; 4 Discussion and Conclusion; References; Maintaining Reliable Agriculture Productivity and Goyder's Line of Reliable Rainfall; 1 Introduction; 2 Rainfall
2.1 Goyder's Line of Reliable Rainfall3 Modelling Accumulated Rainfall; 3.1 The Gamma Distribution; 3.2 Results; 4 Conclusions; References; Vertex Representation of Convex Hulls for Fast Evaluation of Boundary Constraints in Model-Based Calibration for Automotive Engines; 1 Introduction; 2 Application of the Convex Hull: An Optimization Problem in the MBC Response Surface Methodology; 2.1 Convex Hull and Optimization Problems in MBC; 2.2 Numerical Experiment for a Diesel Engine Data Set; 3 Conclusion; References
Mathematical Modeling of Rock Pore Geometry and Mineralization: Applications of Persistent Homology and Random Walk1 Introduction; 2 Persistent Homology for Rock Pore Modeling; 2.1 Methods; 2.2 Results and Discussions; 3 Random Walk in Rock Mineralization Modeling; 3.1 Methods; 3.2 Results and Discussions; 4 Conclusions; References; Statistical Machine Learning for Agriculture and Human Health Care Based on Biomedical Big Data; 1 Introduction; 2 Methods for Metabolic Pathway Reconstruction; 2.1 Formalism; 2.2 Predictive Model; 2.3 L1-Regularized Pairwise Support Vector Machine (L1SVM)