Publications

Authors:

Marigonda, Antonio; Orlandi, Giandomenico

Title:

A mathematical model for neuronal fibers

Year:

2011

Type of item:

Contributo in atti di convegno

Tipologia ANVUR:

Contributo in Atti di convegno

Language:

Inglese

Format:

Elettronico

Name of journal:

COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS

ISSN of journal:

2038-0909

N° Volume:

2

Number or Folder:

1

Congresso:

SIMAI/SEMA 2010

Place:

Cagliari, Italy

Period:

21 - 25 Giugno 2010

Keyword:

DSI images; tractography; optimal mass transportation

Short description of contents:

Diffusion Magnetic Resonance Imaging (MRI) is a powerful non-invasively method producing images of biological tissues exploiting the water molecules diffusion into the living tissues under a magnetic field. This technique enhances the highly non–homogenous character of the diffusion medium, revealing underlying microstructure. Recently, this method has been widely applied to the study of the neuronal fibers in the brain white matter, and several methods have been proposed to reconstruct the fiber paths from such data (tractography). Among the others, we recall the Diffusion Spectrum Imaging (DSI) model, which describes the diffusion inside each voxel as a probability density function defined on a set of predefined directions inside the voxel. DSI is able to successfully describe more complex tissue configurations than other models, but lacks to consider the density of fibers going to make up a bundle trajectory among adjacent voxels, preventing any evaluation of the real physical dimension of neuronal fiber bundles. We describe here a new approach, based on ideas from mass transportation theory, that takes into account the whole information given by DSI in order to reconstruct the underlying water diffusion process, and recover the actual distribution of neuronal fibers.

Web page:

http://openjournal.simai.eu/index.php/caim/article/view/363

Product ID:

64460

Handle IRIS:

11562/350409

Deposited On:

December 27, 2011

Last Modified:

November 1, 2022

Bibliographic citation:

Marigonda, Antonio; Orlandi, Giandomenico, A mathematical model for neuronal fibers in «COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS» vol. 2 n. 1 , Proceedings of "SIMAI/SEMA 2010" , Cagliari, Italy , 21 - 25 Giugno 2010 , 2011

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