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SEMINARIO Prof. Deuflhard (July, 7th) -ABSTRACT-



Apologies for cross-posting,
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Mercoledì 7 luglio 2004, ore 16.00 in Aula 8
Dipartimento di Matematica (Via C. Saldini n.50, Milano)



SEMINARIO DI MATEMATICA APPLICATA
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Mathematics in Cancer Therapy Planning (cancer theryp hyperthermia, PDEs, fast adaptive multilevel solution, homogenization for microvascular model).


Prof. Dr. Dr. h.c. Peter Deuflhard
President
Konrad Zuse Zentrum (ZIB)  
Freie Universitat Berlin
Fachbereich Mathematik und Informatik
Institut für Mathematik II (WE II) 

 
 

ABSTRACT:

 

The talk will survey a long term collaboration on regional hyperthermia of the author's ZIB group ``Computational medicine'' with the Charite, Virchow Clinics, Berlin. Regional hyperthermia means local heating of a recognized tumor by radiowaves (to temperatures roughly between 42°C and 45°C), but no heating of healthy tissue elsewhere.

 

 

The general computational medicine paradigm consists of three steps: (a) map the real patient from the clinical environment to a virtual patient in the computer, (b) model, simulate, and optimize the medical treatment in a virtual lab, (c) play the obtained results back to the real situation.

Step (a) includes the segmentation of medical imaging data and 3D grid generation. Step (b) involves mathematical modelling (like microvascular thermoregulation by homogenization), adaptive multilevel FEMs for the harmonic Maxwell's equations at high frequencies and for the so-called bio-heat transfer equation (elliptic PDE) over the heterogeneous 3D individual patient model. As it turns out, the crucial optimization part in this context reqires only a small amount of work within the whole setting. In order to illustrate step (c), several individual patient results will be given. Finally, further impact of our work in this medical field will be described.



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La home page del seminario e'
http://users.mat.unimi.it/~pavarino/sma/
Il seminario e' organizzato dal Dipartimento di Matematica dell'Universita'
di Milano in collaborazione con MIRIAM (MIlan Research group in Industrial
and Applied Mathematics) e il Dottorato di Ricerca MACRO (MAtematica
Computazionale e Ricerca Operativa) e MSSCI (Matematica, Statistica, Scienze
Computazionali e Informatica).



Giacomo Aletti, Assistant Professor

University of Milan (www.unimi.it)
Department of Mathematics (www.mat.unimi.it
)
Via Saldini, 50
20131 Milano, Italy
Tel: +39-02-503.16158,
Fax:+39-02-503.16172

e-mail:
giacomo.aletti@unimi.it


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