Cumulant expansion framework for internal gradient distributions tensors
Magnetic resonance imaging is a powerful, non invasive tool for medical diagnosis. The low sensitivity for detecting the nuclear spin signals, typically limits the image resolution to several tens of micrometers in preclinical systems and millimeters in clinical scanners. Other sources of informatio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Journal of Magnetic Resonance Open |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666441023000444 |
| _version_ | 1797394787449438208 |
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| author | Leonardo A. Pedraza Pérez Gonzalo A. Álvarez |
| author_facet | Leonardo A. Pedraza Pérez Gonzalo A. Álvarez |
| author_sort | Leonardo A. Pedraza Pérez |
| collection | DOAJ |
| description | Magnetic resonance imaging is a powerful, non invasive tool for medical diagnosis. The low sensitivity for detecting the nuclear spin signals, typically limits the image resolution to several tens of micrometers in preclinical systems and millimeters in clinical scanners. Other sources of information, derived from diffusion processes of intrinsic molecules such as water in the tissues, allow getting morphological information at micrometric and submicrometric scales as potential biomarkers of several pathologies. Here we consider extracting this morphological information by probing the distribution of internal magnetic field gradients induced by the heterogeneous magnetic susceptibility of the medium. We use a cumulant expansion to derive the dephasing on the spin signal induced by the molecules that explore these internal gradients while diffusing. Based on the cumulant expansion, we define internal gradient distributions tensors (IGDT) and propose modulating gradient spin echo sequences to probe them. These IGDT contain microstructural morphological information that characterize porous media and biological tissues. We evaluate the IGDT effects on the magnetization decay with typical conditions of brain tissue and show that their effects can be experimentally observed. Our results thus provide a framework for exploiting IGDT as quantitative diagnostic tools. |
| first_indexed | 2024-03-09T00:24:46Z |
| format | Article |
| id | doaj.art-ed7e0ee972524787b50dae7599d5f5ac |
| institution | Directory Open Access Journal |
| issn | 2666-4410 |
| language | English |
| last_indexed | 2024-03-09T00:24:46Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Magnetic Resonance Open |
| spelling | doaj.art-ed7e0ee972524787b50dae7599d5f5ac2023-12-12T04:36:38ZengElsevierJournal of Magnetic Resonance Open2666-44102023-12-0116100136Cumulant expansion framework for internal gradient distributions tensorsLeonardo A. Pedraza Pérez0Gonzalo A. Álvarez1Instituto Balseiro, CNEA, Universidad Nacional de Cuyo, S. C. de Bariloche, 8400, Argentina; Centro Atómico Bariloche, CNEA, S. C. de Bariloche, 8400, ArgentinaInstituto Balseiro, CNEA, Universidad Nacional de Cuyo, S. C. de Bariloche, 8400, Argentina; Centro Atómico Bariloche, CONICET, CNEA, S. C. de Bariloche, 8400, Argentina; Instituto de Nanociencia y Nanotecnologia, CNEA, CONICET, S. C. de Bariloche, 8400, Argentina; Corresponding author at: Centro Atómico Bariloche, CONICET, CNEA, S. C. de Bariloche, 8400, Argentina.Magnetic resonance imaging is a powerful, non invasive tool for medical diagnosis. The low sensitivity for detecting the nuclear spin signals, typically limits the image resolution to several tens of micrometers in preclinical systems and millimeters in clinical scanners. Other sources of information, derived from diffusion processes of intrinsic molecules such as water in the tissues, allow getting morphological information at micrometric and submicrometric scales as potential biomarkers of several pathologies. Here we consider extracting this morphological information by probing the distribution of internal magnetic field gradients induced by the heterogeneous magnetic susceptibility of the medium. We use a cumulant expansion to derive the dephasing on the spin signal induced by the molecules that explore these internal gradients while diffusing. Based on the cumulant expansion, we define internal gradient distributions tensors (IGDT) and propose modulating gradient spin echo sequences to probe them. These IGDT contain microstructural morphological information that characterize porous media and biological tissues. We evaluate the IGDT effects on the magnetization decay with typical conditions of brain tissue and show that their effects can be experimentally observed. Our results thus provide a framework for exploiting IGDT as quantitative diagnostic tools.http://www.sciencedirect.com/science/article/pii/S2666441023000444Internal magnetic field gradientsDiffusion-weighted imagingSusceptibility-weighted imagingTissue microstructurePorous media |
| spellingShingle | Leonardo A. Pedraza Pérez Gonzalo A. Álvarez Cumulant expansion framework for internal gradient distributions tensors Journal of Magnetic Resonance Open Internal magnetic field gradients Diffusion-weighted imaging Susceptibility-weighted imaging Tissue microstructure Porous media |
| title | Cumulant expansion framework for internal gradient distributions tensors |
| title_full | Cumulant expansion framework for internal gradient distributions tensors |
| title_fullStr | Cumulant expansion framework for internal gradient distributions tensors |
| title_full_unstemmed | Cumulant expansion framework for internal gradient distributions tensors |
| title_short | Cumulant expansion framework for internal gradient distributions tensors |
| title_sort | cumulant expansion framework for internal gradient distributions tensors |
| topic | Internal magnetic field gradients Diffusion-weighted imaging Susceptibility-weighted imaging Tissue microstructure Porous media |
| url | http://www.sciencedirect.com/science/article/pii/S2666441023000444 |
| work_keys_str_mv | AT leonardoapedrazaperez cumulantexpansionframeworkforinternalgradientdistributionstensors AT gonzaloaalvarez cumulantexpansionframeworkforinternalgradientdistributionstensors |