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A mathematical model for measuring blood flow in skeletal muscle with the microdialysis ethanol technique

Wallgren, F ; Amberg, G ; Hickner, R C ; Ekelund, Ulf LU orcid ; Jorfeldt, L and Henriksson, J (1995) In Journal of Applied Physiology 79(2). p.648-659
Abstract
A theoretical analysis of the microdialysis ethanol technique in skeletal muscle is presented, and a model governing the transport of ethanol from the microdialysis probe to the capillaries in the muscle tissue is proposed. The model is derived under the assumption of a steady-state situation, and an analytical solution is found for the outflow-to-inflow ratio of ethanol in the perfusate. Theoretically calculated results are compared with experiments, and for at least one of the two probe types used good agreement is achieved in a wide range of blood flow and perfusate flow rates. The main uncertainty factor in the theoretical calculations is the diffusivity of ethanol in muscle tissue, and the value for best agreement between theory and... (More)
A theoretical analysis of the microdialysis ethanol technique in skeletal muscle is presented, and a model governing the transport of ethanol from the microdialysis probe to the capillaries in the muscle tissue is proposed. The model is derived under the assumption of a steady-state situation, and an analytical solution is found for the outflow-to-inflow ratio of ethanol in the perfusate. Theoretically calculated results are compared with experiments, and for at least one of the two probe types used good agreement is achieved in a wide range of blood flow and perfusate flow rates. The main uncertainty factor in the theoretical calculations is the diffusivity of ethanol in muscle tissue, and the value for best agreement between theory and experiments has been used. Error estimates show that for a constant relative error in the outflow-to-inflow ratio of ethanol in the perfusate, low perfusate flow rates give better predictions of the blood flow. (Less)
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author
; ; ; ; and
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Applied Physiology
volume
79
issue
2
pages
648 - 659
publisher
American Physiological Society
external identifiers
  • pmid:7592230
  • scopus:0029143655
ISSN
1522-1601
language
English
LU publication?
no
id
e380c0e5-3caf-401a-b855-99a66df3060f (old id 1109074)
alternative location
http://jap.physiology.org/cgi/reprint/79/2/648
date added to LUP
2016-04-01 12:06:50
date last changed
2021-01-03 11:36:22
@article{e380c0e5-3caf-401a-b855-99a66df3060f,
  abstract     = {{A theoretical analysis of the microdialysis ethanol technique in skeletal muscle is presented, and a model governing the transport of ethanol from the microdialysis probe to the capillaries in the muscle tissue is proposed. The model is derived under the assumption of a steady-state situation, and an analytical solution is found for the outflow-to-inflow ratio of ethanol in the perfusate. Theoretically calculated results are compared with experiments, and for at least one of the two probe types used good agreement is achieved in a wide range of blood flow and perfusate flow rates. The main uncertainty factor in the theoretical calculations is the diffusivity of ethanol in muscle tissue, and the value for best agreement between theory and experiments has been used. Error estimates show that for a constant relative error in the outflow-to-inflow ratio of ethanol in the perfusate, low perfusate flow rates give better predictions of the blood flow.}},
  author       = {{Wallgren, F and Amberg, G and Hickner, R C and Ekelund, Ulf and Jorfeldt, L and Henriksson, J}},
  issn         = {{1522-1601}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{648--659}},
  publisher    = {{American Physiological Society}},
  series       = {{Journal of Applied Physiology}},
  title        = {{A mathematical model for measuring blood flow in skeletal muscle with the microdialysis ethanol technique}},
  url          = {{http://jap.physiology.org/cgi/reprint/79/2/648}},
  volume       = {{79}},
  year         = {{1995}},
}