Unsteady Diffusive Mass Transfer in a Follicle Modelled as an Annular Region
DOI:
https://doi.org/10.26713/cma.v14i4.2580Keywords:
Species transport equation, Mass transfer, Follicle, Annular region, DiffusivityAbstract
Oxygen supply in a follicle is modelled using the species transport equation. The follicle is modelled as an annular region formed by concentric circles where the inner circle represents the granulosa layer fluid and cells. Concentration is obtained analytically and graphically depicted. Oxygen transport in the outer follicle region remains constant with time and increases in the antrum layer from a very low value and reaches a constant value close to that of the outer region.
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V. S. Baddela, A. Sharma, T. Viergutz, D. Koczan and J. Vanselow, Low oxygen levels induce early luteinization associated changes in bovine granulosa cells, Frontiers in Physiology 9 (2018), 1066, DOI: 10.3389/fphys.2018.01066.
P. S. Bhal, N. D. Pugh, D. K. Chui, L. Gregory, S. M. Walker and R. W. Shaw, The use of transvaginal power Doppler ultrasonography to evaluate the relationship between perifollicular vascularity and outcome in in-vitro fertilization treatment cycles, Human Reproduction 14(4) (1999), 939 – 945, DOI: 10.1093/humrep/14.4.939.
J. van Blerkom, Epigenetic influences on oocyte developmental competence: perifollicular vascularity and intrafollicular oxygen, Journal of Assisted Reproduction and Genetics 15 (1998), 226 – 234, DOI: 10.1023/A:1022523906655.
D. K. Chui, N. D. Pugh, S. M. Walker, L. Gregory and R. W. Shaw, Follicular vascularity – the predictive value of transvaginal power Doppler ultrasonography in an in-vitro fertilization programme: a preliminary study, Human Reproduction 12(1) (1997), 191 – 196, DOI: 10.1093/humrep/12.1.191.
A. R. Clark, Y. M. Stokes, M. Lane and J. G. Thompson, Mathematical modelling of oxygen concentration in bovine and murine cumulus–oocyte complexes, Reproduction 131(6) (2006), 999 – 1006, DOI: 10.1530/rep.1.00974.
R. G. Gosden and J. G. Byatt-Smith, Oxygen concentration gradient across the ovarian follicular epithelium: model, predictions and, Human Reproduction 1(2) (1986), 65 – 68, DOI: 10.1093/oxfordjournals.humrep.a136362.
A. N. Hirshfield, Development of follicles in the mammalian ovary, International Review of Cytology 124 (1991), 43 – 101, DOI: 10.1016/s0074-7696(08)61524-7.
K. H. Kim, D. S. Oh, J. H. Jeong, B. S. Shin, B. S. Joo and K. S. Lee, Follicular blood flow is a better predictor of the outcome of in vitro fertilization–embryo transfer than follicular fluid vascular endothelial growth factor and nitric oxide concentrations, Fertility and Sterility 82(3) (2004), 586 – 592, DOI: 10.1016/j.fertnstert.2004.02.120.
Y. Morimoto, Y. Oku, M. Sonoda, A. Haruki, K. Ito, S. Hashimoto and A. Fukuda, High oxygen atmosphere improves human follicle development in organ cultures of ovarian cortical tissues in vitro, Human Reproduction 22(12) (2007), 3170 – 3177, DOI: 10.1093/humrep/dem314.
G. P. Redding, J. E. Bronlund and A. L. Hart, Mathematical modelling of oxygen transport-limited follicle growth, Reproduction 133(6) (2007), 1095 – 1106, DOI: 10.1530/REP-06-0171.
R. J. Rodgers and H. F. Rodgers, Formation of the ovarian follicular antrum and follicular fluid, Biology of Reproduction 82(6) (2010), 1021 – 1029, DOI: 10.1095/biolreprod.109.082941.
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