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Article

Hrabě, Jan
Fast optical tracking of diffusion in time-dependent environment of brain extracellular space. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 117-123
MSC: 35K15, 35R30, 42B10, 92C55 | MR 3204436 | Zbl 1340.92025
Keywords:
optical tracking of diffusion; brain extracellular space; diffusion equation; Fourier transform; point spread function
Summary:
An improved version of the Integrative Optical Imaging (IOI) method for diffusion measurements in a geometrically complex environment of the brain extracellular space has been developed. We present a theory for this Fast Optical Tracking Of Diffusion (FOTOD) which incorporates a time-dependent effective diffusion coefficient in homogeneous anisotropic media with time-dependent nonspecific linear clearance. FOTOD can be used to measure rapid changes in extracellular diffusion permeability that occur, e.g., during brain insults. The achievable time resolution is approximately one second, a ten fold improvement compared to the traditional IOI method.
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