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Full Description
The title of the book is a perfect way to synthesize the point of view of V- cenzo Capasso (VK) about the role played by mathematics in nature and all human activities, as mentioned by Willi J¨ ager in the Introduction. As VK mentioned in one of his speeches, "it is important that our scienti?c c- munity appreciates the importance of theory and mathematics to face the enormouschallengeswhicharisefromtheemerging?eldsofBiologyandMe- cine, Industry and Economics to improve the quality of Life. " His enthusiasm and new ideas have brought him in this challenging mission. By transferring methods and tools from one ?eld to another, by learning novel mathem- ical methods and ideas from the observation of real world phenomena and behavior, and by approaching real industrial problems, he has accepted to play a fundamental role in both the Italian and European community in the establishment and reinforcement of communication channels between Ac- emia (methods) and Industry (applications), being himself a driving force of the scienti?c and technological progress that we are observing in our daily life. This books collects the proceedings of the workshop Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and - dustry which took place in Milano, Italy in the period September 4-6, 2005, and was organized in honor of the 60th birthday of Vincenzo Capasso (VK).
Contents
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.
