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.

EUDML-ID : urn:eudml:doc:287780
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@article{702937,
     title = {Fast optical tracking of diffusion in time-dependent environment of brain extracellular space},
     booktitle = {Applications of Mathematics 2013},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {117-123},
     mrnumber = {MR3204436},
     zbl = {1340.92025},
     url = {http://dml.mathdoc.fr/item/702937}
}

Hrabě, Jan. Fast optical tracking of diffusion in time-dependent environment of brain extracellular space, dans Applications of Mathematics 2013, GDML_Books,  (2013), pp. 117-123. http://gdmltest.u-ga.fr/item/702937/