Flow assessment of the shear rate dependent viscoelastic fluid: Application of biomechanics in growing human embryo transport
The present paper theoretically accords a biomechanical model with a brief biological and mathematical description of the growing embryo transport in the human fallopian tube. This model incorporates transport mechanisms that involve the pressure gradient at the ampullar region entrance, peristaltic...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821002970 |
| _version_ | 1819093789177806848 |
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| author | H. Ashraf A.M. Siddiqui M.A. Rana G.A. Gawo |
| author_facet | H. Ashraf A.M. Siddiqui M.A. Rana G.A. Gawo |
| author_sort | H. Ashraf |
| collection | DOAJ |
| description | The present paper theoretically accords a biomechanical model with a brief biological and mathematical description of the growing embryo transport in the human fallopian tube. This model incorporates transport mechanisms that involve the pressure gradient at the ampullar region entrance, peristaltic contractions of smooth muscle cells and swaying motions of ciliary cells. Shear rate dependent viscoelastic fluid characterizes the nature of growing embryo and secreted fluid. The pressure gradient at the ampullar region entrance ξ, metachronal wave parameter ∊, amplitude ratio ϕ, the ratio of shear viscosity at infinity shear rate to shear viscosity at zero shear rate μ∞/0 and Weissenberg number We emerged as flow control parameters. The assessment showed that the fluid model parameters (μ∞/0 and We) have opposite effects on appropriate residue time, boluses size and local flow behaviour. Progesterone (P4) and estradiol (E2), prostaglandin E2 (PGE2) and prostaglandin F2α (PGF2α) constraint the fluid motion by controlling the ξ, secretion of the fluid through the goblet cells and amplitudes of both the sinusoidal and the metachronal waves. Furthermore, a comparison between the current results and available literature is made. The relevance of the obtained results with the growing embryo transport in the human fallopian tube is also explored. |
| first_indexed | 2024-12-21T23:17:05Z |
| format | Article |
| id | doaj.art-3a0fe4bc54ee42afaa953ed2ae0f8216 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-21T23:17:05Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-3a0fe4bc54ee42afaa953ed2ae0f82162022-12-21T18:46:53ZengElsevierAlexandria Engineering Journal1110-01682021-12-0160659215934Flow assessment of the shear rate dependent viscoelastic fluid: Application of biomechanics in growing human embryo transportH. Ashraf0A.M. Siddiqui1M.A. Rana2G.A. Gawo3Department of Mathematics and Statistics, Riphah International University Islamabad, Sector I-14, Islamabad, Pakistan; Department of Mathematics, University of Okara, Okara, Pakistan; Corresponding author at: Department of Mathematics, University of Okara, Okara, Pakistan.Department of Mathematics, York Campus, Pennsylvania State University, York, PA 17403, USADepartment of Mathematics and Statistics, Riphah International University Islamabad, Sector I-14, Islamabad, PakistanDepartment of Mathematics, York Campus, Pennsylvania State University, York, PA 17403, USAThe present paper theoretically accords a biomechanical model with a brief biological and mathematical description of the growing embryo transport in the human fallopian tube. This model incorporates transport mechanisms that involve the pressure gradient at the ampullar region entrance, peristaltic contractions of smooth muscle cells and swaying motions of ciliary cells. Shear rate dependent viscoelastic fluid characterizes the nature of growing embryo and secreted fluid. The pressure gradient at the ampullar region entrance ξ, metachronal wave parameter ∊, amplitude ratio ϕ, the ratio of shear viscosity at infinity shear rate to shear viscosity at zero shear rate μ∞/0 and Weissenberg number We emerged as flow control parameters. The assessment showed that the fluid model parameters (μ∞/0 and We) have opposite effects on appropriate residue time, boluses size and local flow behaviour. Progesterone (P4) and estradiol (E2), prostaglandin E2 (PGE2) and prostaglandin F2α (PGF2α) constraint the fluid motion by controlling the ξ, secretion of the fluid through the goblet cells and amplitudes of both the sinusoidal and the metachronal waves. Furthermore, a comparison between the current results and available literature is made. The relevance of the obtained results with the growing embryo transport in the human fallopian tube is also explored.http://www.sciencedirect.com/science/article/pii/S1110016821002970Ciliary and smooth muscle cellsPressure gradient at the ampullar region entranceShear rate dependent viscoelastic fluidRegular perturbation methodKey modulatorsGrowing human embryo transport |
| spellingShingle | H. Ashraf A.M. Siddiqui M.A. Rana G.A. Gawo Flow assessment of the shear rate dependent viscoelastic fluid: Application of biomechanics in growing human embryo transport Alexandria Engineering Journal Ciliary and smooth muscle cells Pressure gradient at the ampullar region entrance Shear rate dependent viscoelastic fluid Regular perturbation method Key modulators Growing human embryo transport |
| title | Flow assessment of the shear rate dependent viscoelastic fluid: Application of biomechanics in growing human embryo transport |
| title_full | Flow assessment of the shear rate dependent viscoelastic fluid: Application of biomechanics in growing human embryo transport |
| title_fullStr | Flow assessment of the shear rate dependent viscoelastic fluid: Application of biomechanics in growing human embryo transport |
| title_full_unstemmed | Flow assessment of the shear rate dependent viscoelastic fluid: Application of biomechanics in growing human embryo transport |
| title_short | Flow assessment of the shear rate dependent viscoelastic fluid: Application of biomechanics in growing human embryo transport |
| title_sort | flow assessment of the shear rate dependent viscoelastic fluid application of biomechanics in growing human embryo transport |
| topic | Ciliary and smooth muscle cells Pressure gradient at the ampullar region entrance Shear rate dependent viscoelastic fluid Regular perturbation method Key modulators Growing human embryo transport |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821002970 |
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