메뉴 건너뛰기




Volumn 13, Issue 2, 2002, Pages 149-164

Oxygen exchange between multiple capillaries and living tissues: An homogenisation study

Author keywords

Hemodynamics; Homogenisation; Oxygen diffusion

Indexed keywords


EID: 84887242917     PISSN: 11206330     EISSN: 17200768     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (2)

References (16)
  • 1
    • 0000836987 scopus 로고
    • Quasilinear elliptic-parabolic equations
    • H.W. ALT - S. LUCKHAUS, Quasilinear elliptic-parabolic equations. Math. Z., 183, 1983, 311-341.
    • (1983) Math. Z. , vol.183 , pp. 311-341
    • Alt, H.W.1    Luckhaus, S.2
  • 2
    • 0028817627 scopus 로고
    • Mathematical model of erytrocytes as point-likeT sources
    • C. BOS - L. HOOF - T. OOSTENDORP, Mathematical model of erytrocytes as point-likeT sources. Math. Biosci., 125, 1995, 165-189.
    • (1995) Math. Biosci. , vol.125 , pp. 165-189
    • Bos, C.1    Hoof, L.2    Oostendorp, T.3
  • 3
    • 0033407951 scopus 로고    scopus 로고
    • Entropy solutions for nonlinear degenerate problems
    • J. CARRILLO, Entropy Solutions for Nonlinear Degenerate Problems. Arch. Rational Mech. Anal., 147, 1999, 263-361.
    • (1999) Arch. Rational Mech. Anal. , vol.147 , pp. 263-361
    • Carrillo, J.1
  • 4
    • 0033804484 scopus 로고    scopus 로고
    • Calculation of intracapillary oxygen tension distribution in muscle
    • C.D. EGGLETON - A. VARDAPALLI - T.K. ROY - A.S. POPEL, Calculation of intracapillary oxygen tension distribution in muscle. Math. Biosci., 167, 2000, 123-143.
    • (2000) Math. Biosci. , vol.167 , pp. 123-143
    • Eggleton, C.D.1    Vardapalli, A.2    Roy, T.K.3    Popel, A.S.4
  • 5
    • 0017953948 scopus 로고
    • Mathematical modelling of the microcirculation
    • J.E. FLETCHER, Mathematical modelling of the microcirculation. Math. Biosci., 38, 1978, 155-202.
    • (1978) Math. Biosci. , vol.38 , pp. 155-202
    • Fletcher, J.E.1
  • 8
    • 84911539247 scopus 로고
    • The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue
    • A. KROGH, The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue. J. Physiol. (London), 52, 1919, 409-415.
    • (1919) J. Physiol. (London) , vol.52 , pp. 409-415
    • Krogh, A.1
  • 11
    • 34249766863 scopus 로고
    • Homogenization of heat equation for domain with a network of pipes with a well-mixed fluid
    • A. MIKELIĆ - M. PRIMICERIO, Homogenization of Heat Equation for Domain with a Network of Pipes with a Well-Mixed Fluid. Ann. Mat. Pura Appl., (IV), vol. CLXVI, 1994, 227-251.
    • (1994) Ann. Mat. Pura Appl., (IV) , vol.166 , pp. 227-251
    • Mikelić, A.1    Primicerio, M.2
  • 12
    • 33750709932 scopus 로고
    • Stability analysis of a coupled diffusion-transport system for oxygen transport in blood and tissue
    • C.V. PAO, Stability analysis of a coupled diffusion-transport system for oxygen transport in blood and tissue. Nonl. Anal. Th. Met. App., 9, 1985, 1037-1059.
    • (1985) Nonl. Anal. Th. Met. App. , vol.9 , pp. 1037-1059
    • Pao, C.V.1
  • 13
    • 0024368187 scopus 로고
    • Theory of oxygen transport to tissue
    • A.S. POPEL, Theory of oxygen transport to tissue. Crit. Riv. Biomed. Engrs., 17, 1989, 257-321.
    • (1989) Crit. Riv. Biomed. Engrs. , vol.17 , pp. 257-321
    • Popel, A.S.1
  • 14
    • 0019606999 scopus 로고
    • 2
    • DOI 10.1016/0025-5564(81)90097-3
    • O2. Math. Biosci., 55, 1981, 231-246. (Pubitemid 11021769)
    • (1981) Mathematical Biosciences , vol.55 , Issue.3-4 , pp. 231-246
    • Popel, A.S.1
  • 15
    • 0017978787 scopus 로고
    • Analysis of capillary-tissue diffusion in multicapillary systems
    • DOI 10.1016/0025-5564(78)90053-6
    • A.S. POPEL, Analysis of capillary-tissue diffusion multicapillary system. Math. Biosci., 35, 1978, 187-211. (Pubitemid 8373491)
    • (1978) Mathematical Biosciences , vol.39 , Issue.3-4 , pp. 187-211
    • Popel, A.S.1
  • 16
    • 0033658644 scopus 로고    scopus 로고
    • An asymptotic study of oxygen transport from multiple capillaries to skeletral muscle tissue
    • M.S. TITCOMBE - M.J. WARD, An asymptotic study of oxygen transport from multiple capillaries to skeletral muscle tissue. SIAM J. Appl. Math., 60, 2000, 1767-1788.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 1767-1788
    • Titcombe, M.S.1    Ward, M.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.