# Algebraization of MRI signal equations

Project: Research › International 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.

Status | Active |
---|---|

Effective start/end date | 2007/08/07 → … |

Links | https://www.univerlag.uni-goettingen.de/handle/3/isbn-978-3-86395-215-0 |

### Collaborative partners

- Lund University (lead)
- University Medical Center Göttingen

## Participants

## Related research output

Gunther Helms, Henning Dathe, Nikolaus Weiskopf & Peter Dechent, 2011, In : Magnetic Resonance in Medicine. 66, 3, p. 669-677

Research output: Contribution to journal › Article

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

Research output: Contribution to journal › Article

Gunther Helms, Henning Dathe & Peter Dechent, 2010, In : Magnetic Resonance in Medicine. 64, 1, p. 177-185

Research output: Contribution to journal › Article

## Related activities

Helms, G. (Speaker)

2019 Sep 4

Activity: Consultancy, expert advice and memberships › Member of board/committee/council etc