Journal article
Wave transmission and input impedance of a model of skeletal muscle microvasculature
Annals of biomedical engineering, v 22(1), pp 45-57
Jan 1994
PMID: 8060026
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We analyzed wave transmission properties and input impedance of a microvascular network model. The model, derived from rat spinotrapezius muscle and previously described and validated by other investigators for steady pressure-flow relations, was expanded to include pulsatile phenomena. Microvessels are considered purely elastic, with compliances a function of vessel type; viscous dissipation follows Poiseuille's law. Linear and nonlinear results are presented. In the nonlinear case, shear rate-dependent viscosity of blood and transmural pressure-dependent vascular diameters were calculated and small signal perturbations were imposed around several working points. We investigated effects on input impedance of physiological variability of network parameters and structure: distribution of capillary diameters, capillary segment length, and presence or absence of cross-connecting capillaries. Results show that although wave transmission properties are complex, input impedance is simple. Apparent wave speeds differ substantially from phase velocities and change markedly from branch to branch; pressure and flow waves appear to travel at different speeds. These features result from the mesh-like structure of the network and the prominence of reflection at branchpoints. Input impedance displays a similar form under all conditions: Magnitude is a monotonically decreasing function of frequency, and phase decreases from 0 to approximately -45 degrees. Consideration of the characteristic impedance of a microvessel leads to modification of the three-element Windkessel as a reduced model of the observed input impedance.
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Details
- Title
- Wave transmission and input impedance of a model of skeletal muscle microvasculature
- Creators
- H F Frasch - Department of Anesthesia, University of Pennsylvania, Philadelphia 19104-6392J Y KreshA Noordergraaf
- Publication Details
- Annals of biomedical engineering, v 22(1), pp 45-57
- Publisher
- Springer Nature; United States
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1994NJ38200005
- Scopus ID
- 2-s2.0-0028245716
- Other Identifier
- 991014878294104721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Engineering, Biomedical