Geodesic
Oxygen exchange between multiple capillaries and living tissues: An homogenisation study
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 2, pp. 149-164

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

A mathematical model for a problem of blood perfusion in a living tissue through a system of parallel capillaries is studied. Oxygen is assumed to be transported in two forms: freely diffusing and bounded (to erytrocytes in blood, to myoglobin in tissue). Existence of a weak solution is proved and a homogensation procedure is carried out in the case of randomly distribuited capillaries. 
@article{RLIN_2002_9_13_2_a9,
     author = {Mikeli\'c, Andro and Primicerio, Mario},
     title = {Oxygen exchange between multiple capillaries and living tissues: {An} homogenisation study},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {149--164},
     publisher = {mathdoc},
     volume = {Ser. 9, 13},
     number = {2},
     year = {2002},
     zbl = {1180.92020},
     mrnumber = {MR1949488},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_2_a9/}
}
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Mikelić, Andro; Primicerio, Mario. Oxygen exchange between multiple capillaries and living tissues: An homogenisation study. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 2, pp. 149-164. http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_2_a9/