ArticleMicrocirculation (New York, N.Y. : 1994)2015
Krogh-cylinder and infinite-domain models for washout of an inert diffusible solute from tissue.
Article in Microcirculation (New York, N.Y. : 1994), 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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9 citing papers in PubMed.
- Modeling oxygen transport in the brain: An efficient coarse-grid approach to capture perivascular gradients in the parenchyma.PLoS computational biology · 2024Article
- Measurement and Modeling of Transport Across the Blood-Brain Barrier.Journal of biomechanical engineering · 2023Review
- Selecting ideal drugs for encapsulation in thermosensitive liposomes and other triggered nanoparticles.International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group · 2022Article
- The mass transfer coefficient for oxygen transport from blood to tissue in cerebral cortex.Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism · 2020Article
- Microvascular bioengineering: a focus on pericytes.Journal of biological engineering · 2019Review
- Contributions of the glycocalyx, endothelium, and extravascular compartment to the blood-brain barrier.Proceedings of the National Academy of Sciences of the United States of America · 2018Article
- Image-based modelling of skeletal muscle oxygenation.Journal of the Royal Society, Interface · 2017Review
- A Green's function method for simulation of time-dependent solute transport and reaction in realistic microvascular geometries.Mathematical medicine and biology : a journal of the IMA · 2016Article
- Estimating oxygen distribution from vasculature in three-dimensional tumour tissue.Journal of the Royal Society, Interface · 2016Article
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Abstract
objectiveModels based on the Krogh-cylinder concept are developed to analyze the washout from tissue by blood flow of an inert diffusible solute that permeates blood vessel walls. During the late phase of washout, the outflowing solute concentration decays exponentially with time. This washout decay rate is predicted for a range of conditions.
methodsA single capillary is assumed to lie on the axis of a cylindrical tissue region. In the classic "Krogh-cylinder" approach, a no-flux boundary condition is applied on the outside of the cylinder. An alternative "infinite-domain" approach is proposed that allows for solute exchange across the boundary, but with zero net exchange. Both models are analyzed, using finite-element and analytical methods.
resultsThe washout decay rate depends on blood flow rate, tissue diffusivity and vessel permeability of solute, and assumed boundary conditions. At low blood flow rates, the washout rate can exceed the value for a single well-mixed compartment. The infinite-domain approach predicts slower washout decay rates than the Krogh-cylinder approach.
conclusionsThe infinite-domain approach overcomes a significant limitation of the Krogh-cylinder approach, while retaining its simplicity. It provides a basis for developing methods to deduce transport properties of inert solutes from observations of washout decay rates.
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