Effect of anatomical fine structure on the dispersion of solutes in the spinal subarachnoid space.

The dispersion of a solute bolus is calculated for cerebrospinal fluid undergoing oscillatory flow in the subarachnoid space of the spine. The fine structure of the subarachnoid space (nerves and trabeculae) enhances both longitudinal and transverse dispersions five to ten times over a simple model with an open annular space. Overall, dispersion is >10(3) times simple molecular diffusion. The result of enhanced dispersion is rapid spread and dilution of the bolus, effectively stirred by fluid movement around the fine structure.

[1]  W. Deen,et al.  Diffusivity and Solubility of Nitric Oxide in Water and Saline , 2005, Annals of Biomedical Engineering.

[2]  Joel P. L. Johnson,et al.  Mixing at fracture intersections: Influence of channel geometry and the Reynolds and Peclet Numbers , 2001 .

[3]  Chen,et al.  Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  M. Myers.  A numerical investigation into factors affecting anesthetic distribution during spinal anesthesia. , 1996, Journal of biomechanics.

[5]  N Alperin,et al.  Hydrodynamic modeling of cerebrospinal fluid motion within the spinal cavity. , 2000, Journal of biomechanical engineering.

[6]  H. Stockman,et al.  Effect of anatomical fine structure on the flow of cerebrospinal fluid in the spinal subarachnoid space. , 2006, Journal of biomechanical engineering.

[7]  D. Stepp,et al.  Regulation of shear stress in the canine coronary microcirculation. , 1999, Circulation.

[8]  Robert Mosé,et al.  Solution of the Advection-Diffusion Equation Using a Combination of Discontinuous and Mixed Finite Elements , 1997 .

[9]  J. Drazen,et al.  An experimental study of gas exchange in laminar oscillatory flow , 1983, Journal of Fluid Mechanics.

[10]  S. Shafer,et al.  Cephalad Movement of Morphine and Fentanyl in Humans after Intrathecal Injection , 2003, Anesthesiology.

[11]  M. Myers,et al.  In Vitro Modeling of Spinal Anesthesia: A Digital Video Image Processing Technique and Its Application to Catheter Characterization , 1994, Anesthesiology.

[12]  Y. Qian,et al.  Lattice BGK Models for Navier-Stokes Equation , 1992 .

[13]  H. Stockman,et al.  A 3D Lattice Boltzmann Code for Modeling Flow and Multi-Component Dispersion , 1999 .

[14]  Vartan Kurtcuoglu,et al.  Computational modeling of the mechanical behavior of the cerebrospinal fluid system. , 2005, Journal of biomechanical engineering.

[15]  Harihar Rajaram,et al.  Accuracy and Computational Efficiency in 3D Dispersion via Lattice-Boltzmann: Models for Dispersion in Rough Fractures and Double-Diffusive Fingering , 1998 .

[16]  U. Kurzweg,et al.  Enhanced dispersion in oscillatory flows , 1984 .

[17]  M. Myers,et al.  Effect of orifice‐area reduction on flow characteristics during injection through spinal needles , 1998, Anaesthesia.

[18]  R. Aris.  On the dispersion of a solute in a fluid flowing through a tube , 1956, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[19]  Roger Zauel,et al.  3-D computational modeling of media flow through scaffolds in a perfusion bioreactor. , 2005, Journal of biomechanics.

[20]  R. C. Weast.  CRC Handbook of Chemistry and Physics , 1973 .

[21]  R. Nilson,et al.  Atmospheric pumping: A mechanism causing vertical transport of contaminated gases through fractured permeable media , 1991 .

[22]  Zoltán Molnár,et al.  A hydroelastic model of hydrocephalus , 2005, Journal of Fluid Mechanics.

[23]  H. Schräpel.  Äquivalente kanonische Linearisierung und Entkopplung nichtlinearer Schwingungen , 1985 .

[24]  L. Bilston,et al.  Effects of Proteins, Blood Cells and Glucose on the Viscosity of Cerebrospinal Fluid , 1998, Pediatric Neurosurgery.

[25]  H. Stockman,et al.  A lattice gas study of retardation and dispersion in fractures: Assessment of errors from desorption kinetics and buoyancy , 1997 .

[26]  E. J. Watson.  Diffusion in oscillatory pipe flow , 1983, Journal of Fluid Mechanics.

[27]  Flekkoy.  Lattice Bhatnagar-Gross-Krook models for miscible fluids. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.