Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry - Dedicated to the 60th Birthday of Vincenzo Capasso Book

List of Contributors     XV
Introduction   Willi Jager     1
Deterministic and Stochastic Systems
Coupled Dynamics and Quiescent Phases   Karl P. Hadeler   Thomas Hillen     7
Long Time Behavior of a System of Stochastic Differential Equations Modelling Aggregation   Vincenzo Capasso   Daniela Morale   Matteo Ortisi     25
Invariant Density Estimation for Multidimensional Diffusions   Annamaria Bianchi     39
First Contact Distribution Function Estimation for a Partially Observed Dynamic Germ-Grain Model with Renewal Dropping Process   Marcello De Giosa     51
An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes   Martin Burger   Vincenzo Capasso   Alessandra Micheletti     63
On the Generalized Geometric Densities of Random Closed Sets. An Application to Growth Processes   Vincenzo Capasso   Elena Villa     77
The Multiparameter Fractional Brownian Motion   Erick Herbin   Ely Merzbach     93
Filtering of Multiparameter Processes: Theory and Applications   Alberto Carabarin-Aguirre   B. Gail Ivanoff   Adriana Jordan     103
IFSM Representation of Brownian Motion with Applications to Simulation   Stefano Maria Iacus   Davide La Torre     115
Iterated Function Systems on Multifunctions   Davide La Torre   Franklin Mendivil   Edward R. Vrscay     125
Mathematical Problems in Biology, Medicine and Ecology
Stochastic Modeling and Estimation in a Neutron Lifetime Experiment   Grace L. Yang   Kevin J. Coakley     141
The Transport of Specific Monoclonal Antibodies in Tumour Cords   Alessandro Bertuzzi   Antonio Fasano   Alberto Gandolfi   Carmela Sinisgalli     151
Structural Adaptation in Normal and Cancerous Vasculature   Philip K. Maini   Tomas Alarcon   Helen M. Byrne   Markus R. Owen   James Murphy     165
Approximation of 2D and 3D Models of Chemotactic Cell Movement in Vasculogenesis   Fausto Cavalli   Andrea Gamba   Giovanni Naldi   Matteo Semplice     179
Homogenization Closure For A Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow   Andro Mikelic   Suncica Canic     193
Pattern Formation in Butterfly Wings: Experiments and Models   Toshio Sekimura     207
Stabilization for a Reaction-Diffusion System in Epidemiology   Sebastian Anita     219
Global Stability of Equilibria for a Metapopulation S-I-S Model   Francesca Arrigoni   Andrea Pugliese     229
State Feedback Control of the Glucose-Insulin System   Pasquale Palumbo   Andrea De Gaetano     241
An Algal Allelopathic Competition with Internal and External Toxic Compounds   Paolo Fergola   Marianna Cerasuolo     253
Subsoil Decontamination with Biological Techniques: a Bio-Fluid Dynamics Problem   Filippo Notarnicola     265
Mathematical Problems in Industry and Economics
Modelling and Optimizing Batch Processes in the Chemical Industry   Rainer E. Burkard   Johannes Hatzl     279
Kinetics of Nucleation and Growth: Classical Nucleation and Helium Bubbles in Nuclear Materials   Luis Bonilla   Ana Carpio   John C. Neu     291
Polymer Crystallization Processes   Giacomo Aletti   Diane Saada     309
Optimal Marketing Decision in a Duopoly: A Stochastic Approach   Luigi De Cesare   Andrea Di Liddo     325
Color Plates     335