Math Everywhere - Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry

Preface

Contents

List of Contributors

Introduction

Deterministic and Stochastic Systems

Coupled Dynamics and Quiescent Phases

Long Time Behavior of a System of Stochastic Differential Equations Modelling Aggregation

Invariant Density Estimation for Multidimensional Diffusions

First Contact Distribution Function Estimation for a Partially Observed Dynamic Germ- Grain Model with Renewal Dropping Process

An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth- and- Growth Processes

On the Generalized Geometric Densities of Random Closed Sets. An Application to Growth Processes

The Multiparameter Fractional Brownian Motion

Filtering of Multiparameter Processes: Theory and Applications

IFSM Representation of Brownian Motion with Applications to Simulation

Iterated Function Systems on Multifunctions

Mathematical Problems in Biology, Medicine and Ecology

Stochastic Modeling and Estimation in a Neutron Lifetime Experiment

The Transport of Specific Monoclonal Antibodies in Tumour Cords

Structural Adaptation in Normal and Cancerous Vasculature

Approximation of 2D and 3D Models of Chemotactic Cell Movement in Vasculogenesis

Homogenization Closure For A Two- Dimensional Effective Model Describing Fluid- Structure Interaction in Blood Flow

Pattern Formation in Butterfly Wings: Experiments and Models

Stabilization for a Reaction-Diffusion System in Epidemiology

Global Stability of Equilibria for a Metapopulation S– I– S Model

State Feedback Control of the Glucose-Insulin System

An Algal Allelopathic Competition with Internal and External Toxic Compounds

Subsoil Decontamination with Biological Techniques: a Bio- Fluid Dynamics Problem

Mathematical Problems in Industry and Economics

Modelling and Optimizing Batch Processes in the Chemical Industry

Kinetics of Nucleation and Growth: Classical Nucleation and Helium Bubbles in Nuclear Materials

Polymer Crystallization Processes

Optimal Marketing Decision in a Duopoly: A Stochastic Approach

Color Plates