FIGURE 10.13. Computer simulation of diffusion in virtual 3D media containing concave slit-like dead spaces.

FIGURE 10.13

Computer simulation of diffusion in virtual 3D media containing concave slit-like dead spaces. (a) Two-dimensional sections through 3D model of the ECS. In the media composed of uniformly spaced convex elements, the ECS is composed of well-connected spaces (α0; top). In contrast, when concave elements are introduced, the ECS is composed of both well-connected spaces (α0) and dead-spaces residing in concavities (αd). (b) Addition of dead-spaces increases the tortuosity. A dwell-time diffusion model predicts a relationship between λ and α/α0 = (αd0)/α0 (solid line) that was confirmed by Monte Carlo simulations of diffusion process (asterisks). In virtual 3D media containing slit-like dead-spaces, α was varied from 0.10 to 0.25 with αd equal 0.05, 0.1, and 0.15. Values of D* were obtained from the particle counts and tortuosities calculated. Maxwell relationship derived from simulations in media containing convex cell is shown (dotted line) for a comparison. (Reproduced from Hrabì, J. et al., Biophys. J., 87, 1606–1617, 2004. With permission.)

From: Chapter 10, Biophysical Properties of Brain Extracellular Space Explored with Ion-Selective Microelectrodes, Integrative Optical Imaging and Related Techniques

Cover of Electrochemical Methods for Neuroscience
Electrochemical Methods for Neuroscience.
Michael AC, Borland LM, editors.
Boca Raton (FL): CRC Press/Taylor & Francis; 2007.
Copyright © 2007, Taylor & Francis Group, LLC.

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