Aspects of Mathematical Modelling: Applications in Science, Medicine, Economics and Management (Mathematics and Biosciences in Interaction) (Mathematics and Biosciences in Interaction)

The construction of mathematical models is an essential scientific activity. Mathematics has long been associated with developments in the exact sciences and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in many other fields. The contributors to this book demonstrate the application of mathematics to modern research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management. The reader will find some review papers outlining current research directions in hot topics such as pattern formation and applications to medicine, and more targeted research papers on current developments in the various disciplines included. Both should provide insight and inspiration for further work on these subjects. The extensive relevant literature cited in some of the survey expository articles is another feature. Cover......Page 1 Mathematics and Biosciences in Interaction......Page 3 Aspects of Mathematical Modelling: Applications in Science, Medicine, Economics and Management......Page 4 Copyright - ISBN: 3764385901......Page 5 Preface......Page 6 Contents......Page 8 Mathematical Models of Pattern Formation in Planktonic Predation-Diffusion Systems: A Review......Page 10 Toward a General Theory of Ecosystem Stability: Plankton-Nutrient Interaction as a Paradigm......Page 36 Nutrient, Non-toxic Phytoplankton, Toxic Phytoplankton and Zooplankton Interaction in an Open Marine System......Page 50 Stability and Optimal Harvesting in a Stage Structure Predator-Prey Switching Strategy......Page 74 Insecticidal Bt Crops Under Massive Bt-resistant Pest Invasion: Mathematical Simulation......Page 90 Reducing The Emission of Pollutants in Industrial Wastewater through the Use of Membrane Bioreactors......Page 104 Model Hysterisis Dimer Molecule: I. Equilibrium Properties......Page 118 Model Hysterisis Dimer Molecule: II. Deductions from Probability Profiles......Page 152 Mathematical Modelling and Simulation of Coronary Blood Flow......Page 170 Modelling Vaccine Protocols......Page 204 Modelling the Response of Intracranial Pressure to Microgravity Environments......Page 220 "Noise Oncology": Some Caveats in using Gaussian Noise in Mathematical Models of Chemotherapy......Page 238 Phylogenetic Analysis, Split Systems and Boolean Functions......Page 244 Exponential Convergence Analysis of DCNNs having Unbounded Activations and Inhibitory Self-Connections......Page 258 The Single-Vendor Multi-Buyer Integrated Inventory Problem: an Heuristic Solution Technique......Page 278 A Term Structures Volatility Model of Poll Data and its Application to Election Timing......Page 292 Estimation for the Semiparametric Transformation Model under General Censorship......Page 302 Integer Programming Models of Bookmobile Routing......Page 314 Instability and Sustained Oscillations in Neo-Classical Growth Models with Unemployment......Page 330 A Bass-type Model for a Dynamic Market with Logistic Growth......Page 352 A Wavelet Neural Network applied to Textile Spinning......Page 372 Index......Page 380 The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.