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

Andro Mikelić; Mario Primicerio

- Volume: 13, Issue: 2, page 149-164
- ISSN: 1120-6330

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topMikelić, Andro, and Primicerio, Mario. "Oxygen exchange between multiple capillaries and living tissues: An homogenisation study." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 13.2 (2002): 149-164. <http://eudml.org/doc/252407>.

@article{Mikelić2002,

abstract = {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.},

author = {Mikelić, Andro, Primicerio, Mario},

journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},

keywords = {Oxygen diffusion; Hemodynamics; Homogenisation; oxygen diffusion; hemodynamics; homogenisation},

language = {eng},

month = {6},

number = {2},

pages = {149-164},

publisher = {Accademia Nazionale dei Lincei},

title = {Oxygen exchange between multiple capillaries and living tissues: An homogenisation study},

url = {http://eudml.org/doc/252407},

volume = {13},

year = {2002},

}

TY - JOUR

AU - Mikelić, Andro

AU - Primicerio, Mario

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

JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

DA - 2002/6//

PB - Accademia Nazionale dei Lincei

VL - 13

IS - 2

SP - 149

EP - 164

AB - 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.

LA - eng

KW - Oxygen diffusion; Hemodynamics; Homogenisation; oxygen diffusion; hemodynamics; homogenisation

UR - http://eudml.org/doc/252407

ER -

## References

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