Reports on Progress in Physics · 2001 · 492 citations · 238 references
EngineeringBiophysicsNeuroscienceBiological Transport PhenomenaDrug DeliveryTransport PhenomenaDrug PermeationMass TransportPorous Media FlowTransport In CellsTransport In Porous MediaTransport In TissuesDiffusion In Porous MediaDiffusion TheoryPorous MediaPorous Media MicrostructureTissue DiffusionTransport MechanismsViscosityVolume Fraction Effects
Diffusion plays a crucial role in brain function. The spaces between cells can be likened to the water phase of a foam and many substances move within this complicated region. Diffusion in this interstitial space can be accurately modelled with appropriate modifications of classical equations and quantified from measurements based on novel micro-techniques. Besides delivering glucose and oxygen from the vascular system to brain cells, diffusion also moves informational substances between cells, a process known as volume transmission. Deviations from expected results reveal how local uptake, degradation or bulk flow may modify the transport of molecules. Diffusion is also essential to many therapies that deliver drugs to the brain. The diffusion-generated concentration distributions of well-chosen molecules also reveal the structure of brain tissue. This structure is represented by the volume fraction (void space) and the tortuosity (hindrance to diffusion imposed by local boundaries or local viscosity). Analysis of these parameters also reveals how the local geometry of the brain changes with time or under pathological conditions. Theoretical and experimental approaches borrow from classical diffusion theory and from porous media concepts. Earlier studies were based on radiotracers but the recent methods use a point-source paradigm coupled with micro-sensors or optical imaging of macromolecules labelled with fluorescent tags. These concepts and methods are likely to be applicable elsewhere to measure diffusion properties in very small volumes of highly structured but delicate material.
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A Simplex Method for Function Minimization
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