A model for substrate concentrations in tissue surrounding single capillaries

Mathematical and Computer Modelling

Volumn 25, Issue 11, 1997, Pages 1-7

  Millard, C A ^a   Gorman, A D ^a  

^a LAFAYETTE COLLEGE   (United States)

Author keywords

Capillary tissue interaction; Krogh cylinder

Indexed keywords

ERRORS; NONLINEAR EQUATIONS; SUBSTRATES; TISSUE;

CAPILLARY TISSUE INTERACTION; KROGH CYLINDER; MATHEMATICAL ANALYSIS;

MATHEMATICAL MODELS;

EID: 0031171780     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(97)00079-4     Document Type: Article

References (6)

1. A. Krogh, Anatomy and Physiology of Capillaries, Yale University Press, New Haven, CT, (1936).
2. J.J. Blum, Concentration profiles in and around capillaries, Am. J. Physiol. 198, 991-998 (1960).
3. E.P. Salathé and T.-C. Wang, Substrate concentrations in tissue surrounding single capillaries, Math. Biosci. 49, 235-247 (1980).
4. S. Middleman, Transport Phenomena in the Cardiovascular System, Wiley-Interscience, New York, (1972).
5. A.J. Vander, J.H. Sherman and D.S. Luciana, Human Physiology: The Mechanisms of Body Function, McGraw-Hill, New York, (1994).
6. J.E. Fletcher, Mathematical modelling of microcirculation, Math. Biosci. 38, 159-202 (1978).