More Mathematics into Medicine!

Peter Deuflhard (), Olaf Dössel (), Alfred K. Louis () and Stefan Zachow ()
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Peter Deuflhard: Zuse Institute Berlin (ZIB)
Olaf Dössel: Universität Karlsruhe (TH), Institut für Biomedizinische Technik
Alfred K. Louis: Universität des Saarlandes, Fachrichtung Mathematik
Stefan Zachow: Zuse Institute Berlin (ZIB)

A chapter in Production Factor Mathematics, 2010, pp 357-378 from Springer

Abstract: Abstract This article presents three success stories that show how the coaction of mathematics and medicine has pushed a development towards patient specific models on the basis of modern medical imaging and “virtual labs”, which, in the near future, will play an increasingly important role. Thereby the interests of medicine and mathematics seem to be consonant: either discipline wants the results fast and reliably. As for the medical side, this means that the necessary computations must run in shortest possible times on a local PC in the clinics and that their results must be accurate and resilient enough so that they can serve as a basis for medical decisions. As for the mathematical side, this means that highest level requirements for the efficiency of the applied algorithms and the numerical and visualization software have to be met. Yet there is still a long way to go, until anatomically correct and medically useful individual functional models for the essential body parts and for the most frequent diseases will be at hand. This will only be possible, if more mathematics enters into medicine.

Keywords: Intensity Modulate Radio Therapy; Multigrid Method; Operation Planning; Virtual Patient; Shadow Image (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11248-5_19

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DOI: 10.1007/978-3-642-11248-5_19

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