Algebraization of MRI signal equation

Project: ResearchInternational collaboration

Research areas and keywords

UKÄ subject classification

  • Mathematical Analysis

Description

Signal equations describe how the observed MR signals depend on relaxation and flip angles. Signal equations can be cast into an algebraic representation using suitable bijective nonlinear transformations of transcendent functions, namely Euler's half-angle tangent substitution and its hyperbolic analogon. Algebraization facilitates the use of symbolic software (like Mathematica) and thus greatly enhances the solution of analytical optimization problems.
StatusActive
Effective start/end date2007/08/07 → …

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Related research output

Gunther Helms, Dathe, H., Weiskopf, N. & Dechent, P. 2011 In : Magnetic Resonance in Medicine. 66, 3, p. 669-677

Research output: Contribution to journalArticle

Dathe, H. & Gunther Helms 2010 In : Physics in Medicine and Biology. 55, p. 4231-4245

Research output: Contribution to journalArticle

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