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Math Everywhere

Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry

  • Book
  • © 2007

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Editors:
  1. Giacomo Aletti

    1. ADAMSS & Department of Mathematics, University of Milano, Milano, Italy

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  2. Alessandra Micheletti

    1. ADAMSS & Department of Mathematics, University of Milano, Milano, Italy

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  3. Daniela Morale

    1. ADAMSS & Department of Mathematics, University of Milano, Milano, Italy

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  4. Martin Burger

    1. Institut für Numerische und Angewandte Mathematik, Westfälische Wilhelms-Universität Münster, Münster, Germany

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Table of contents (26 chapters)

  1. Front Matter

    Pages I-XVIII
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  2. Introduction

    1. Introduction

      • Willi Jäger
      Pages 1-3

  3. Deterministic and Stochastic Systems

    1. Front Matter

      Pages I-XVIII
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    2. Coupled Dynamics and Quiescent Phases

      • Karl P. Hadeler, Thomas Hillen
      Pages 7-23

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

      • Vincenzo Capasso, Daniela Morale, Matteo Ortisi
      Pages 25-38

    4. Invariant Density Estimation for Multidimensional Diffusions

      • Annamaria Bianchi
      Pages 39-50

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

      • Marcello De Giosa
      Pages 51-62

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

      • Martin Burger, Vincenzo Capasso, Alessandra Micheletti
      Pages 63-76

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

      • Vincenzo Capasso, Elena Villa
      Pages 77-91

    8. The Multiparameter Fractional Brownian Motion

      • Erick Herbin, Ely Merzbach
      Pages 93-101

    9. Filtering of Multiparameter Processes: Theory and Applications

      • Alberto Carabarín-Aguirre, B. Gail Ivanoff, Adriana Jordan
      Pages 103-114

    10. IFSM Representation of Brownian Motion with Applications to Simulation

      • Stefano Maria Iacus, Davide La Torre
      Pages 115-124

    11. Iterated Function Systems on Multifunctions

      • Davide La Torre, Franklin Mendivil, Edward R. Vrscay
      Pages 125-138

  4. Mathematical Problems in Biology, Medicine and Ecology

    1. Front Matter

      Pages I-XVIII
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    2. Stochastic Modeling and Estimation in a Neutron Lifetime Experiment

      • Grace L. Yang, Kevin J. Coakley
      Pages 141-149

    3. The Transport of Specific Monoclonal Antibodies in Tumour Cords

      • Alessandro Bertuzzi, Antonio Fasano, Alberto Gandolfi, Carmela Sinisgalli
      Pages 151-164

    4. Structural Adaptation in Normal and Cancerous Vasculature

      • Philip K. Maini, Tomás Alarcón, Helen M. Byrne, Markus R. Owen, James Murphy
      Pages 165-178

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

      • Fausto Cavalli, Andrea Gamba, Giovanni Naldi, Matteo Semplice
      Pages 179-191

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

      • Andro Mikelić, Sunčica Čanić
      Pages 193-205

    7. Pattern Formation in Butterfly Wings: Experiments and Models

      • Toshio Sekimura
      Pages 207-217
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Keywords

About this book

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).

Editors and Affiliations

  • ADAMSS & Department of Mathematics, University of Milano, Milano, Italy

    Giacomo Aletti, Alessandra Micheletti, Daniela Morale

  • Institut für Numerische und Angewandte Mathematik, Westfälische Wilhelms-Universität Münster, Münster, Germany

    Martin Burger

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