Mathematical Modeling for the Circulatory System: Models, Equations, Applications

Mathematical Modeling for the Circulatory System: Models, Equations, Applications
Relatore:  A. Veneziani, L. Antiga, G.K. Ricciardi, F. Auricchio, M. Marrocco-Trischitta, E. Toro, L. Emili
  lunedì 6 marzo 2017 Starting date
The images on the left are the property of the CMCS, EPFL, Lausanne.
Numerical models have been recognized since decades to introduce a relevant added value to cardiovascular research, both for understanding physiopathology and for designing new devices and therapies. The predictive nature of mathematical models, solved by numerical tools on high performance computing architectures, opens significant and somehow revolutionary perspectives with a potential impact on clinical practice too. For instance, a surgical operation like the Left Ventricular Assisted Device (see the picture), consisting in an external graft added to the ascending aorta to replace the functionality of a malfunctioning valve, may be carried out in different ways (for the position of the anastomosis). Numerical tools may quantitatively assess the impact of the different options on the hemodynamics and eventually on the success of the surgery. This course intends to provide some fundamental concept of modeling the circulation, covering: the introduction of equations and initial/value problems relevant to the description of dynamics of interest; the methodological aspects for their numerical solution. Also, the course will cover lectures from an expert of medical image processing, a key step for the patient-specific modeling. Finally, lectures will be offered by biomedical engineers and clinicians who will provide the “end- user” perspective of numerical modeling for cardiovascular diseases, including new entrepreneurial opportunities coming from cloud computing and computer aided clinical trials.
 
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Presentation  pdfpdf (en, 467 KB, 10/02/17)

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Marco Caliari

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Data pubblicazione
10 febbraio 2017

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