Mathematical analysis of transport and exchange in skeletal muscle
- 23 August 1988
- journal article
- research article
- Published by The Royal Society in Proceedings of the Royal Society of London. B. Biological Sciences
- Vol. 234 (1276) , 303-318
- https://doi.org/10.1098/rspb.1988.0050
Abstract
A new approach to modelling microcirculatory transport and exchange is introduced and developed with specific reference to skeletal muscle. The objective is to describe the large-scale interaction of a great number of differently perfused capillary groups and to interpret phenomena observed in a whole organ in terms of processes occurring within individual capillaries. We consider fluid exchange and the associated macromolecular transport, the exchange of small metabolites carried in the plasma, and oxygen transport to tissue.This publication has 13 references indexed in Scilit:
- Transcapillary fluid exchange during arteriolar vasomotionMicrovascular Research, 1986
- A mathematical analysis of carrier-facilitated diffusionMathematical Biosciences, 1984
- Mathematical modeling of oxygen transport in skeletal muscleMathematical Biosciences, 1982
- The effect of variable capillary radius and filtration coefficient on fluid exchangeBiorheology, 1976
- A theory of interstitial fluid motion and its implications for capillary exchangeMicrovascular Research, 1976
- A mathematical analysis of fluid movement across capillary wallsMicrovascular Research, 1976
- A mathematical analysis of capillary-tissue fluid exchange1Biorheology, 1974
- Fluid exchange in tunnel and tube capillariesMicrovascular Research, 1973
- On the molecular mechanism of facilitated oxygen diffusion by haemoglobin and myoglobinProceedings of the Royal Society of London. B. Biological Sciences, 1971
- The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissueThe Journal of Physiology, 1919