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1.
J Math Biol ; 88(6): 69, 2024 Apr 25.
Article in English | MEDLINE | ID: mdl-38664246

ABSTRACT

Flow in a porous medium can be driven by the deformations of the boundaries of the porous domain. Such boundary deformations locally change the volume fraction accessible by the fluid, creating non-uniform porosity and permeability throughout the medium. In this work, we construct a deformation-driven porous medium transport model with spatially and temporally varying porosity and permeability that are dependent on the boundary deformations imposed on the medium. We use this model to study the transport of interstitial fluid along the basement membranes in the arterial walls of the brain. The basement membrane is modeled as a deforming annular porous channel with the compressible pore space filled with an incompressible, Newtonian fluid. The role of a forward propagating peristaltic heart pulse wave and a reverse smooth muscle contraction wave on the flow within the basement membranes is investigated. Our results identify combinations of wave amplitudes that can induce either forward or reverse transport along these transport pathways in the brain. The magnitude and direction of fluid transport predicted by our model can help in understanding the clearance of fluids and solutes along the Intramural Periarterial Drainage route and the pathology of cerebral amyloid angiopathy.


Subject(s)
Brain , Extracellular Fluid , Extracellular Fluid/metabolism , Extracellular Fluid/physiology , Porosity , Humans , Brain/metabolism , Brain/blood supply , Brain/physiology , Basement Membrane/metabolism , Basement Membrane/physiology , Mathematical Concepts , Biological Transport/physiology , Models, Biological , Computer Simulation , Models, Neurological , Animals , Permeability
2.
J Man Manip Ther ; 21(1): 24-32, 2013 Feb.
Article in English | MEDLINE | ID: mdl-24421610

ABSTRACT

The purpose of the study was to determine the normal sensory and range of motion (ROM) responses during the movement components of Thoracic Slump Test (Thoracic ST) in asymptomatic subjects. Sixty asymptomatic subjects were included in the study. Thoracic ST was performed in two sequences, proximal initiation, which was proximal to distal and distal initiation, which was distal to proximal. Subjects were randomized into four groups depending on the order of sequences and sides. Outcome measures of sensory responses (intensity, type, and location) and ROM responses were recorded after each sequence. Friedman's test was done to compare between sensory responses of the subjects. Between-component comparison for prevalence of sensory responses within each sequence was done using Kruskal-Wallis test and Wilcoxonsigned ranks test was used for between-component comparisons of intensity of symptoms within each sequence of testing. Independent t test was used to assess the ROM responses. Results show the prevalence of sensory responses, its nature, area and intensity. These sensory and ROM responses may be considered as normal response of Thoracic ST. The intensity of the symptoms of proximal initiation sequence (1.09±1.35 cm) was significant (P<0.05) when compared to distal initiation sequence (0.08±1.26 cm). The change in the ROM was significant (P<0.05) for distal initiation (7.55±4.51 degrees) when compared to proximal initiation (4.96±3.76 degrees). These normal responses may be used as a reference when using the Thoracic ST as an assessment technique.

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