Analysis of two layered peristaltic-ciliary transport of Jeffrey fluid and in vitro preimplantation embryo development

Abstract The analysis of peristaltic-ciliary transport in the human female fallopian tube, specifically in relation to the growing embryo, is a matter of considerable physiological importance. This paper proposes a biomechanical model that incorporates a finite permeable tube consisting of two layer...

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Main Authors: Hameed Ashraf, Imran Siddique, Ayesha Siddiqa, Ferdous M. O. Tawfiq, Fairouz Tchier, Rana Muhammad Zulqarnain, Hamood Ur Rehman, Shahzad Bhatti, Abida Rehman
Format: Article
Language:English
Published: Nature Portfolio 2024-01-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-51641-3
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author Hameed Ashraf
Imran Siddique
Ayesha Siddiqa
Ferdous M. O. Tawfiq
Fairouz Tchier
Rana Muhammad Zulqarnain
Hamood Ur Rehman
Shahzad Bhatti
Abida Rehman
author_facet Hameed Ashraf
Imran Siddique
Ayesha Siddiqa
Ferdous M. O. Tawfiq
Fairouz Tchier
Rana Muhammad Zulqarnain
Hamood Ur Rehman
Shahzad Bhatti
Abida Rehman
author_sort Hameed Ashraf
collection DOAJ
description Abstract The analysis of peristaltic-ciliary transport in the human female fallopian tube, specifically in relation to the growing embryo, is a matter of considerable physiological importance. This paper proposes a biomechanical model that incorporates a finite permeable tube consisting of two layers, where the Jeffrey fluid model characterizes the viscoelastic properties of the growing embryo and continuously secreting fluid. Jeffrey fluid entering with some negative pressure gradient forms the core fluid layer while continuously secreting Jeffrey fluid forms the peripheral fluid layer. The resulting partial differential equations are solved for closed-form solutions after employing the assumption of long wavelength. The analysis delineated that increasing the constant secretion velocity, Darcy number, and Reynolds number leads to a decrease in the appropriate residue time of the core fluid layer and a reduction in the size of the secreting fluid bolus in the peripheral fluid layer. Eventually, the boluses completely disappear when the constant secretion velocity exceeds 3.0 Progesterone ( $$P_4$$ P 4 ) and estradiol ( $$E_2$$ E 2 ) directly regulate the transportation of the growing embryo, while luteinizing hormone (LH) and follicle-stimulating hormone (FSH), prolactin, anti-mullerian hormone (AMH), and thyroid-stimulating hormone (TSH) have an indirect effects. Based on the number and size of blastomeres, the percentage of fragmentation, and the presence of multinucleated blastomeres two groups were formed in an in vitro experiment. Out of 50 patients, 26 (76.5%) were pregnant in a group of the good quality embryos, and only 8 (23.5%) were in a group of the bad quality embryos. The transport of growing embryo in the human fallopian tube and preimplantation development of human embryos in in vitro are constraint by baseline hormones FSH, LH, prolactin, $$E_{2}$$ E 2 , AMH, and TSH.
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spelling doaj.art-06dc8c9458ad4bb0b8cc65f4f5d09faf2024-01-21T12:22:46ZengNature PortfolioScientific Reports2045-23222024-01-0114111710.1038/s41598-024-51641-3Analysis of two layered peristaltic-ciliary transport of Jeffrey fluid and in vitro preimplantation embryo developmentHameed Ashraf0Imran Siddique1Ayesha Siddiqa2Ferdous M. O. Tawfiq3Fairouz Tchier4Rana Muhammad Zulqarnain5Hamood Ur Rehman6Shahzad Bhatti7Abida Rehman8Department of Mathematics, University of OkaraDepartment of Mathematics, University of SargodhaDepartment of Mathematics, University of OkaraMathematics Department, College of Science, King Saud UniversityMathematics Department, College of Science, King Saud UniversitySchool of Mathematical Sciences, Zhejiang Normal UniversityDepartment of Mathematics, University of OkaraLahore Institute of Fertility & Endocrinology, Hameed Latif HospitalPostgraduate Resident MD Pediatrics, The University of Child Health and Sciences (Children Hospital)Abstract The analysis of peristaltic-ciliary transport in the human female fallopian tube, specifically in relation to the growing embryo, is a matter of considerable physiological importance. This paper proposes a biomechanical model that incorporates a finite permeable tube consisting of two layers, where the Jeffrey fluid model characterizes the viscoelastic properties of the growing embryo and continuously secreting fluid. Jeffrey fluid entering with some negative pressure gradient forms the core fluid layer while continuously secreting Jeffrey fluid forms the peripheral fluid layer. The resulting partial differential equations are solved for closed-form solutions after employing the assumption of long wavelength. The analysis delineated that increasing the constant secretion velocity, Darcy number, and Reynolds number leads to a decrease in the appropriate residue time of the core fluid layer and a reduction in the size of the secreting fluid bolus in the peripheral fluid layer. Eventually, the boluses completely disappear when the constant secretion velocity exceeds 3.0 Progesterone ( $$P_4$$ P 4 ) and estradiol ( $$E_2$$ E 2 ) directly regulate the transportation of the growing embryo, while luteinizing hormone (LH) and follicle-stimulating hormone (FSH), prolactin, anti-mullerian hormone (AMH), and thyroid-stimulating hormone (TSH) have an indirect effects. Based on the number and size of blastomeres, the percentage of fragmentation, and the presence of multinucleated blastomeres two groups were formed in an in vitro experiment. Out of 50 patients, 26 (76.5%) were pregnant in a group of the good quality embryos, and only 8 (23.5%) were in a group of the bad quality embryos. The transport of growing embryo in the human fallopian tube and preimplantation development of human embryos in in vitro are constraint by baseline hormones FSH, LH, prolactin, $$E_{2}$$ E 2 , AMH, and TSH.https://doi.org/10.1038/s41598-024-51641-3
spellingShingle Hameed Ashraf
Imran Siddique
Ayesha Siddiqa
Ferdous M. O. Tawfiq
Fairouz Tchier
Rana Muhammad Zulqarnain
Hamood Ur Rehman
Shahzad Bhatti
Abida Rehman
Analysis of two layered peristaltic-ciliary transport of Jeffrey fluid and in vitro preimplantation embryo development
Scientific Reports
title Analysis of two layered peristaltic-ciliary transport of Jeffrey fluid and in vitro preimplantation embryo development
title_full Analysis of two layered peristaltic-ciliary transport of Jeffrey fluid and in vitro preimplantation embryo development
title_fullStr Analysis of two layered peristaltic-ciliary transport of Jeffrey fluid and in vitro preimplantation embryo development
title_full_unstemmed Analysis of two layered peristaltic-ciliary transport of Jeffrey fluid and in vitro preimplantation embryo development
title_short Analysis of two layered peristaltic-ciliary transport of Jeffrey fluid and in vitro preimplantation embryo development
title_sort analysis of two layered peristaltic ciliary transport of jeffrey fluid and in vitro preimplantation embryo development
url https://doi.org/10.1038/s41598-024-51641-3
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