Mathematical Modelling in Real Life Problems

It covers many applications where mathematics play a fundamental role, from biology, telecommunications, medicine, physics, finance and industry. It is presented in such a way that can be useful in Modelation, Simulation and Optimization courses, targeting master and PhD students. Its content is based on many editions from the successful series of Modelling Weeks organized by the European Consortium of Mathematics in Industry (ECMI). Each chapter addresses a particular problem, and is written in a didactic way, providing the description of the problem, the particular way of approaching it and the proposed solution, along with the results obtained.

Inverse Problems in Diffuse Optical Tomography Applications.- 1D Models for Blood Flow in Arteries.- Uncertainty Quantificatio of Chemical Kinetic Reaction Rate Coefficients.- Nuclear Accidents: How Can Mathematicians Help to Save Lives?.- Drug Delivery from Ophthalmic Lenses.- The Zombie Invasion.- Optimal Heating of an Indoor Swimming Pool.- Some Basic Epidemic Models.- Mathematical Model for the Game Management Plan.- Efficient Parameter-Dependent Simulation of Infections in a Population Model.- Optimising a Cascade of Hydro-electric Power Stations.- Networks of Antennas: Power Optimization.