## Abstract

Tractography is a method to map white matter bundles within brain tissue based on diffusion MRI techniques. It seems to be a promising way of detecting white matter structure in vivo, however, method seems to be prone to false positives if standard methods of tractography are used. The paper promises to explore the possibilities of optimization techniques which would enable to include more informative models to the tractography procedure by filtering out false positives from a set of candidate tracts. To detect anatomically plausible tracts, inverse problem from matrix equation y = Ax is solved with help of pseudo-inversion technique. However, pseudo-inversion seems to be inappropriate for system of such dimensions and conditioning.

Original language | English (US) |
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Title of host publication | 17th Conference on Applied Mathematics, APLIMAT 2018 - Proceedings |

Editors | Peter Letavaj, Daniela Richtarikova, Dagmar Szarkova, Jana Gabkova |

Publisher | Slovak University of Technology in Bratislava |

Pages | 832-839 |

Number of pages | 8 |

ISBN (Electronic) | 9788022747653 |

State | Published - 2018 |

Externally published | Yes |

Event | 17th Conference on Applied Mathematics, APLIMAT 2018 - Bratislava, Slovakia Duration: Feb 6 2018 → Feb 8 2018 |

### Publication series

Name | 17th Conference on Applied Mathematics, APLIMAT 2018 - Proceedings |
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Volume | 2018-February |

### Conference

Conference | 17th Conference on Applied Mathematics, APLIMAT 2018 |
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Country/Territory | Slovakia |

City | Bratislava |

Period | 2/6/18 → 2/8/18 |

### Bibliographical note

Publisher Copyright:© 2018 Slovak University of Technology in Bratislava. All Rights Reserved.

## Keywords

- Diffusion
- Inverse problem
- MRI
- Optimization
- Pseudo-inversion
- Tractography