Ebook: Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Dedicated to the 60th Birthday of Vincenzo Capasso
Author: Willi Jäger (auth.) Giacomo Aletti Alessandra Micheletti Daniela Morale Martin Burger (eds.)
- Tags: Mathematical Modeling and Industrial Mathematics, Probability Theory and Stochastic Processes, Analysis, Biomedicine general, Computational Mathematics and Numerical Analysis, Mathematical Biology in General
- Year: 2007
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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 areas of the contributions are the following
- Deterministic and Stochastic Systems.
- Mathematical Problems in Biology, Medicine and Ecology.
- Mathematical Problems in Industry and Economics.
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 areas of the contributions are the following
- Deterministic and Stochastic Systems.
- Mathematical Problems in Biology, Medicine and Ecology.
- Mathematical Problems in Industry and Economics.
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 areas of the contributions are the following
- Deterministic and Stochastic Systems.
- Mathematical Problems in Biology, Medicine and Ecology.
- Mathematical Problems in Industry and Economics.
Content:
Front Matter....Pages I-XVIII
Introduction....Pages 1-3
Front Matter....Pages I-XVIII
Coupled Dynamics and Quiescent Phases....Pages 7-23
Long Time Behavior of a System of Stochastic Differential Equations Modelling Aggregation....Pages 25-38
Invariant Density Estimation for Multidimensional Diffusions....Pages 39-50
First Contact Distribution Function Estimation for a Partially Observed Dynamic Germ-Grain Model with Renewal Dropping Process....Pages 51-62
An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes....Pages 63-76
On the Generalized Geometric Densities of Random Closed Sets. An Application to Growth Processes....Pages 77-91
The Multiparameter Fractional Brownian Motion....Pages 93-101
Filtering of Multiparameter Processes: Theory and Applications....Pages 103-114
IFSM Representation of Brownian Motion with Applications to Simulation....Pages 115-124
Iterated Function Systems on Multifunctions....Pages 125-138
Front Matter....Pages I-XVIII
Stochastic Modeling and Estimation in a Neutron Lifetime Experiment....Pages 141-149
The Transport of Specific Monoclonal Antibodies in Tumour Cords....Pages 151-164
Structural Adaptation in Normal and Cancerous Vasculature....Pages 165-178
Approximation of 2D and 3D Models of Chemotactic Cell Movement in Vasculogenesis....Pages 179-191
Homogenization Closure For A Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow....Pages 193-205
Pattern Formation in Butterfly Wings: Experiments and Models....Pages 207-217
Stabilization for a Reaction-Diffusion System in Epidemiology....Pages 219-228
Global Stability of Equilibria for a Metapopulation S-I-S Model....Pages 229-240
State Feedback Control of the Glucose-Insulin System....Pages 241-252
Front Matter....Pages I-XVIII
An Algal Allelopathic Competition with Internal and External Toxic Compounds....Pages 253-264
Subsoil Decontamination with Biological Techniques: a Bio-Fluid Dynamics Problem....Pages 265-276
Front Matter....Pages I-XVIII
Modelling and Optimizing Batch Processes in the Chemical Industry....Pages 279-290
Kinetics of Nucleation and Growth: Classical Nucleation and Helium Bubbles in Nuclear Materials....Pages 291-307
Polymer Crystallization Processes....Pages 309-324
Optimal Marketing Decision in a Duopoly: A Stochastic Approach....Pages 325-334
Back Matter....Pages 335-343
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 areas of the contributions are the following
- Deterministic and Stochastic Systems.
- Mathematical Problems in Biology, Medicine and Ecology.
- Mathematical Problems in Industry and Economics.
Content:
Front Matter....Pages I-XVIII
Introduction....Pages 1-3
Front Matter....Pages I-XVIII
Coupled Dynamics and Quiescent Phases....Pages 7-23
Long Time Behavior of a System of Stochastic Differential Equations Modelling Aggregation....Pages 25-38
Invariant Density Estimation for Multidimensional Diffusions....Pages 39-50
First Contact Distribution Function Estimation for a Partially Observed Dynamic Germ-Grain Model with Renewal Dropping Process....Pages 51-62
An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes....Pages 63-76
On the Generalized Geometric Densities of Random Closed Sets. An Application to Growth Processes....Pages 77-91
The Multiparameter Fractional Brownian Motion....Pages 93-101
Filtering of Multiparameter Processes: Theory and Applications....Pages 103-114
IFSM Representation of Brownian Motion with Applications to Simulation....Pages 115-124
Iterated Function Systems on Multifunctions....Pages 125-138
Front Matter....Pages I-XVIII
Stochastic Modeling and Estimation in a Neutron Lifetime Experiment....Pages 141-149
The Transport of Specific Monoclonal Antibodies in Tumour Cords....Pages 151-164
Structural Adaptation in Normal and Cancerous Vasculature....Pages 165-178
Approximation of 2D and 3D Models of Chemotactic Cell Movement in Vasculogenesis....Pages 179-191
Homogenization Closure For A Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow....Pages 193-205
Pattern Formation in Butterfly Wings: Experiments and Models....Pages 207-217
Stabilization for a Reaction-Diffusion System in Epidemiology....Pages 219-228
Global Stability of Equilibria for a Metapopulation S-I-S Model....Pages 229-240
State Feedback Control of the Glucose-Insulin System....Pages 241-252
Front Matter....Pages I-XVIII
An Algal Allelopathic Competition with Internal and External Toxic Compounds....Pages 253-264
Subsoil Decontamination with Biological Techniques: a Bio-Fluid Dynamics Problem....Pages 265-276
Front Matter....Pages I-XVIII
Modelling and Optimizing Batch Processes in the Chemical Industry....Pages 279-290
Kinetics of Nucleation and Growth: Classical Nucleation and Helium Bubbles in Nuclear Materials....Pages 291-307
Polymer Crystallization Processes....Pages 309-324
Optimal Marketing Decision in a Duopoly: A Stochastic Approach....Pages 325-334
Back Matter....Pages 335-343
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