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?eldsof Biologyand Me- 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).
Tabla de materias
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.
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