A model of effective diffusion and tortuosity in the extracellular space of the brain

Biophysical Journal
Jan HrabeKarel Segeth

Abstract

Tortuosity of the extracellular space describes hindrance posed to the diffusion process by a geometrically complex medium in comparison to an environment free of any obstacles. Calculating tortuosity in biologically relevant geometries is difficult. Yet this parameter has proved very important for many processes in the brain, ranging from ischemia and osmotic stress to delivery of nutrients and drugs. It is also significant for interpretation of the diffusion-weighted magnetic resonance data. We use a volume-averaging procedure to obtain a general expression for tortuosity in a complex environment. A simple approximation then leads to tortuosity estimates in a number of two-dimensional (2D) and three-dimensional (3D) geometries characterized by narrow pathways between the cellular elements. It also explains the counterintuitive fact of lower diffusion hindrance in a 3D environment. Comparison with Monte Carlo numerical simulations shows that the model gives reasonable tortuosity estimates for a number of regular and randomized 2D and 3D geometries. Importantly, it is shown that addition of dead-end pores increases tortuosity in proportion to the square root of enlarged total extracellular volume fraction. This conclusion is fu...Continue Reading

References

Jun 4, 1998·Trends in Neurosciences·C Nicholson, E Syková
Jul 15, 1998·Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism·C S PatlakG C Newman
Jul 13, 2000·Proceedings of the National Academy of Sciences of the United States of America·K C Chen, C Nicholson
Sep 20, 2000·Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism·S Hrabetová, C Nicholson
Oct 3, 2003·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Christopher D KroenkeJeffrey J Neil
Jun 10, 2004·Neurochemistry International·Sabina Hrabetová, Charles Nicholson

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Citations

Feb 24, 2009·Bulletin of Mathematical Biology·Daniel A Beard, Fan Wu
Oct 22, 2009·Molecular Neurobiology·Annalisa Scimemi, Marco Beato
Dec 29, 2010·Australasian Physical & Engineering Sciences in Medicine·C R MoultonM A Ebert
Apr 26, 2011·Computer Methods in Biomechanics and Biomedical Engineering·C C van DonkelaarC W J Oomens
Oct 17, 2008·Physiological Reviews·Eva Syková, Charles Nicholson
Nov 30, 2007·PLoS Biology·HoJung ChoAndre Levchenko
Aug 16, 2008·PLoS Computational Biology·Jana L Gevertz, Salvatore Torquato
May 23, 2008·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Xiaoming YaoGeoffrey T Manley
Jan 1, 2007·Journal of Medical Physics·Jan HrabeDavid N Guilfoyle
Dec 18, 2007·The Journal of Chemical Physics·Leonardo DagdugVladimir Yu Zitserman
Apr 5, 2011·The Journal of Chemical Physics·Alexander M Berezhkovskii, Leonardo Dagdug
Apr 6, 2013·The Journal of the Acoustical Society of America·Thomas DupontRaymond Panneton
Aug 12, 2014·The Journal of Chemical Physics·Alexander M BerezhkovskiiSergey M Bezrukov
Nov 23, 2012·Computing and Visualization in Science·Charles NicholsonLian Tao
May 10, 2008·Journal of Neuroscience Methods·Gurjinder KaurJan Hrabe
Oct 27, 2015·Frontiers in Bioengineering and Biotechnology·Maria Isabella Gariboldi, Serena M Best
Jun 29, 2012·The Journal of Comparative Neurology·Justin P KinneyTerrence J Sejnowski
Apr 6, 2005·Journal of Theoretical Biology·A TaoC Nicholson
Feb 12, 2008·Biophysical Journal·Yifat GuyStephen G Weber
Jul 22, 2014·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Wilfred W LamKarla L Miller
May 9, 2015·Biophysical Journal·Fanrong XiaoSabina Hrabetova
May 21, 2015·Biophysical Journal·Kaiyu Zheng, Dmitri A Rusakov
Apr 10, 2015·The Journal of Chemical Physics·Alexander M BerezhkovskiiSergey M Bezrukov
Jan 11, 2012·Journal of Neuroscience Methods·Aleksandr SaghyanSabina Hrabetova
Sep 8, 2010·Biophysical Journal·Triantafyllos StylianopoulosRakesh K Jain
Nov 18, 2010·Biophysical Journal·Triantafyllos StylianopoulosRakesh K Jain
Jun 14, 2016·Neoplasia : an International Journal for Oncology Research·Xiaoyu JiangJohn C Gore
Aug 27, 2016·Molecules : a Journal of Synthetic Chemistry and Natural Product Chemistry·Nuramatjan AblatXiaoping Pu
Dec 9, 2016·Journal of Neurophysiology·Adam J H NewtonMagnus J E Richardson
Aug 6, 2017·Reviews in the Neurosciences·Katherine L PerkinsSabina Hrabetova
Jan 1, 2016·Journal of Biomechanical Engineering·Bradley Boyd, Sid Becker
Sep 28, 2018·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·Yoshiharu FukuiTetsuo Okada
Jan 18, 2011·Integrative Biology : Quantitative Biosciences From Nano to Macro·Vinicio González-PérezRichard P Sear
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Daniel J Lacks
Aug 6, 2013·Physical Biology·A S Verkman
Jun 9, 2019·Neurochemical Research·Ang D SherpaSabina Hrabetova

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