Synopses & Reviews
These proceedings report on the conference "Math Everywhere", celebrating the 60th birthday of the mathematician Vincenzo Capasso. The conference promoted ideas Capasso has pursued and shared the open atmosphere he is known for. Topic sections include: Deterministic and Stochastic Systems. Mathematical Problems in Biology, Medicine and Ecology. Mathematical Problems in Industry and Economics. The broad spectrum of contributions to this volume demonstrates the truth of its title: Math is Everywhere, indeed.
Synopsis
These proceedings are reporting on the conference ''Math Everywhere, a successful event celebrating a leading scientist, promoting ideas he pursued and sharing the open atmosphere he is known for. The broad spectrum of contributions to this volume illustrates that its title is correct. The areas of the contributions are the following: Deterministic and Stochastic Systems. Mathematical Problems in Biology, Medicine and Ecology. Mathematical Problems in Industry and Economics.
Disciplinarity is basic for interdisciplinarity. This statement seems to be trivial, however, everyone, not influenced by fashionable trends and buzzwords entering more and more also science, will find out that it is nontrivial at all in practice. Competence in mathematics and the field of application are both needed. The relevance of mathematical theory is getting more obvious the more one faces the challenges of real life applications. It is a well-known fact that mathematical modelling of real problems very often leads to frontiers of mathematical theory and requires new mathematical methods. This conference combined competence in mathematical theory and methods with competence in the fields of applications.
Synopsis
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)."
Table of Contents
- Introduction Willi Jaeger
- Part I: Deterministics and Stochastics Systems
- Coupled Dynamics and Quiescent Phases Karl P. Hadeler, Thomas Hillen
- Long Time Behavior of a System of Stochastic Differential Equations Modelling Aggregation Vincenzo Capasso, Daniela Morale, Matteo Ortisi
- Invariant Density Estimation for Multidimensional Diffusions Annamaria Bianchi
- First Contact Distribution Function Estimation for a Partially Observed Dynamic Germ-Grain Model with Renewal Dropping Process Marcello De Giosa
- An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes Martin Burger, Vincenzo Capasso, Alessandra Micheletti
- On the Generalized Geometric Densities of Random Closed Sets. An Application to Growth Processes. Vincenzo Capasso, Elena Villa
- The Multiparameter Fractional Brownian Motion Erick Herbin, Ely Merzbach
- Filtering of Multiparameter Processes: Theory and Applications Alberto Carabarín-Aguirre, Gail Ivanoff, Adriana Jordan
- IFSM Representation of Brownian Motion with Applications to Simulation Stefano Maria Iacus, Davide La Torre
- Iterated Function Systems on Multifunctions Davide La Torre, Franklin Mendivil, Edward R. Vrscay
- Part II Mathematical Problems in Biology, Medicine and Ecology
- Stochastic Modeling and Estimation in a Neutron Lifetime Experiment Grace L. Yang, Kevin J. Coakley
- The Transport of Specific Monoclonal Antibodies in Tumour Cords Alessandro Bertuzzi, Antonio Fasano, Alberto Gandolfi, Carmela Sinisgalli
- Structural Adaptation in Normal and Cancerous Vasculature Philip K. Maini, Tom.as Alarc.on, Helen M. Byrne, Markus R. Owen, James Murphy
- Approximation of 2D and 3D Models of Chemotactic Cell Movement in Vasculogenesis Fausto Cavalli, Andrea Gamba, Giovanni Naldi, Matteo Semplice
- Homogenization Closure For A Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow Andro Mikeli´c, Sunicica Cani´c
- Pattern Formation in Butterfly Wings: Experiments and Models Toshio Sekimura
- Stabilization for a Reaction-Diffusion System in Epidemiology Sebastian Anita
- Global Stability of Equilibria for a Metapopulation S-I-S Model Francesca Arrigoni, Andrea Pugliese
- State Feedback Control of the Glucose-Insulin System Pasquale Palumbo, Andrea De Gaetano
- An Algal Allelopathic Competition with Internal and External Toxic Compounds Paolo Fergola, Marianna Cerasuolo
- Subsoil Decontamination with Biological Techniques: a Bio-Fluid Dynamics Problem Filippo Notarnicola
- Part III Mathematical Problems in Industry and Economy
- Modelling and Optimizing Batch Processes in the Chemical Industry Rainer E. Burkard, Johannes Hatzl
- Kinetics of Nucleation and Growth: Classical Nucleation and Helium Bubbles in Nuclear Materials Luis Bonilla, Ana Carpio, John C. Neu
- Polymer Crystallization Processes Giacomo Aletti, Diane Saada
- Optimal Marketing Decision in a Duopoly: A Stochastic Approach Luigi De Cesare, Andrea Di Liddo