Modelli matematici per la tecnologia e le scienze della vita

Authors

  • Alfio Quarteroni Dipartimento di Matematica, Politecnico di Milano. Chair of Modeling and Scientific Computing, EPFL, Lausanne

DOI:

https://doi.org/10.3989/arbor.2007.i725.117

Keywords:

mathematical modelling, scientific computation, applications, hydrodynamics, medicine, environmental flow problems, problems arising from sport competition

Abstract


In this presentation I will review some mathematical models that are used to describe complex phenomena in real life. Applications will concern aeronautics, hydrodynamics, medicine, environmental flow problems, and problems arising from sport competition. For environmental studies, mathematical models are used to predict, analyze and, possibly, control events of relevant social impact. In sport, mathematical models are often used to try to enhance performances of athlets as well as to improve the design of vehicles that are used in the various disciplines. In medicine, we will explain how mathematics can be used in the study of the cardiovascular system in order to better understand physiological blood flow processes and design alternative therapeutical surgery. More in general, we will highlight the role of scientific computing in everyday analysis of problems of real life interest.

Downloads

Download data is not yet available.

References

Laganà, K., Dubini, G., Migliavacca, F., Pietrabissa, R., Pennati, G., Veneziani, A., Quarteroni, A. (2002): “Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures”, Biorheology, 39 (3-4), pp. 359-364.

Prosi, M., Zunino, P., Perktold, K., Quarteroni, A. (2005): “Mathematical and numerical models for transfer of low density lipoproteins through the arterial walls: a new methodology for the model set up with applications to the study of disturbed lumenal flow”, Journal of Biomechanics, Vol. 38, pp. 903-917. doi:10.1016/j.jbiomech.2004.04.024 PMid:15713312

Quarteroni, A. (2001): “Modeling the Cardiovascular System - A Mathematical Adventure”, in SIAM News, 34 (5), (Part I) and SIAM News, 34 (6) (Part II). Quarteroni, A., Formaggia, L., Veneziani, A. (Eds.) (2006): Complex Systems in Biomedicine, Springer, 2006.

Quarteroni, A., Rozza, G. (2003): “Optimal Control and Shape Optimization in Aorto-Coronaric Bypass Anastomoses”, Mathematical Models and Methods in Applied Sciences, Vol. 13 (12), pp. 1801-1823. doi:10.1142/S0218202503003124

Quarteroni, A., Saleri, F. (2006): Calculo Cientifico con MATLAB y Octave, Springer.

Quarteroni, A., Veneziani, A., Zunino, P. (2001): “Mathematical and numerical modelling of solute dynamics in blood flow and arterial walls”, SIAM J. Numer. Anal., Vol. 39, n.º 5, pp. 1488-1511.

Downloads

Published

2007-06-30

How to Cite

Quarteroni, A. (2007). Modelli matematici per la tecnologia e le scienze della vita. Arbor, 183(725), 445–455. https://doi.org/10.3989/arbor.2007.i725.117

Issue

Section

Articles