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Modeling the diffusion magnetic resonance imaging signal inside neurons
Ecole Polytechnique, France.ORCID iD: 0000-0002-3213-0040
INRIA Saclay-Equipe DEFI, CMAP, Ecole Polytechnique, 91128, Palaiseau, France.
LPMC, CNRS – Ecole Polytechnique, 91128, Palaiseau, France.
2014 (English)In: Journal of Physics, Conference Series, ISSN 1742-6588, E-ISSN 1742-6596, Vol. 490, no 1, article id UNSP 012013Article in journal (Refereed) Published
Abstract [en]

The Bloch-Torrey partial differential equation (PDE) describes the complex transverse water proton magnetization due to diffusion-encoding magnetic field gradient pulses. The integral of the solution of this PDE yields the diffusion magnetic resonance imaging (dMRI) signal. In a complex medium such as cerebral tissue, it is difficult to explicitly link the dMRI signal to biological parameters such as the cellular geometry or the cellular volume fraction. Studying the dMRI signal arising from a single neuron can provide insight into how the geometrical structure of neurons influences the measured signal. We formulate the Bloch-Torrey PDE inside a single neuron, under no water exchange condition with the extracellular space, and show how to reduce the 3D simulation in the full neuron to a 3D simulation around the soma and 1D simulations in the neurites. We show that this latter approach is computationally much faster than full 3D simulation and still gives accurate results over a wide range of diffusion times.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2014. Vol. 490, no 1, article id UNSP 012013
National Category
Natural Sciences
Research subject
Applied and Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-225136ISI: 000335909300013Scopus ID: 2-s2.0-84896918114OAI: oai:DiVA.org:kth-225136DiVA, id: diva2:1194332
Conference
2nd International Conference on Mathematical Modeling in Physical Sciences 2013, IC-MSQUARE 2013, Prague, Czech Republic, 1 September 2013 through 5 September 2013
Note

QC 20180403

Available from: 2018-03-31 Created: 2018-03-31 Last updated: 2018-04-03Bibliographically approved

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Scopushttp://stacks.iop.org/1742-6596/490/i=1/a=012013

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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