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1702624 Vol 4 · Issue 9 Download Paper

Modeling Gases Transfer between Placenta and Fetus across the Umbilical Cord

Boniface O. Kwach

Subject area: Science,Engineering and Technology  ·  Area of research: Mathematics

Abstract

This study presents a proposed mathematical model gases exchange across umbilical cord to provide a system of equations whose solution can be analyzed for equilibrium and stability. In this paper we use qualitative theory of differential equations to develop a four compartmental Mathematical model that takes into Umbilical cord by consideration exchange of gases, nutrients and wastes through the umbilical cord. AMS Subject classification: 34A30

Keywords

placenta, umbilical cord

References

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[5] Groome L.J., (1991). A theoretical analysis of the effect of placental metabolism on fetal oxygenation under conditions of limited oxygen availability. Bio-systems 26(1):45,56.

[6] Hill E.P., Power G.G. and Longo L.D., (1973). A mathematical model of carbon- dioxide transfer in the placenta and its interaction with oxygen.AM, J. Physiol,224(2):283-299

[7] Joel Olielo Odongo, Omolo Ongati, Boniface Otieno Kwach. Model for Nutrient Exchange across the Placenta (2015) International Journal of Engineering & Mathematical Sciences, Volume 8, Issue – 1, pp.28 - 35ISSN (Print) – 2319 - 4537, (Online) – 2319 - 4545.

[8] Kirschbaum T.H. and Shapiro N.Z., (1969). A mathematical model of placental Oxygen transfer. J Theor, 25:380-402

[9] Lardner T.J., (1975). A model for placental oxygen exchange. J. Biomech.8(2):131-134

[10] The Nakedscientist, Science Articles., (2005). The Placenta. A mathematical Model. University of Cambridge. http://www.thenakedscientists.com. Accessed in May, 2014.

[11] Bowen R., (2000). http://www.vivo.colostate.edu/hbooks/pathphys/reprod/placenta/transport.html. Accesed on 17th July, 2015.

[12] Sam Zimmerman, (2011). Developing A Model for Mother-Fetal Nutrient Relations: An Anthology "Pregnancy."Mayo Clinic.Web.29 Apr.2011.http://www.mayoclinic.com.

[13] Wilbur, Power, Lango, (1978). Modelled water and solute exchange in the human placenta. Am J PhsiolRegul Inter Comp Phsiol ; 235:R181-199

How to cite this paper

Boniface O. Kwach "Modeling Gases Transfer between Placenta and Fetus across the Umbilical Cord" Iconic Research And Engineering Journals Volume 4 Issue 9 2021 Page 48-50
Boniface O. Kwach "Modeling Gases Transfer between Placenta and Fetus across the Umbilical Cord" Iconic Research And Engineering Journals, vol. 4, no. 9, Mar. 2021
Boniface O. Kwach (2021). Modeling Gases Transfer between Placenta and Fetus across the Umbilical Cord. Iconic Research And Engineering Journals, 4(9).
Boniface O. Kwach "Modeling Gases Transfer between Placenta and Fetus across the Umbilical Cord" Iconic Research And Engineering Journals, vol. 4, no. 9, Mar. 2021.
@article{1702624,
      author = {Boniface O. Kwach},
      title = {Modeling Gases Transfer between Placenta and Fetus across the Umbilical Cord},
      journal = {Iconic Research And Engineering Journals},
      year = {2021},
      volume = {4},
      number = {9},
      pages = {48-50},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1702624.pdf},
      abstract = {This study presents a proposed mathematical model gases exchange across umbilical cord to provide a system of equations whose solution can be analyzed for equilibrium and stability. In this paper we use qualitative theory of differential equations to develop a four compartmental Mathematical model that takes into Umbilical cord by consideration exchange of gases, nutrients and wastes through the umbilical cord. AMS Subject classification: 34A30},
      keywords = {placenta, umbilical cord},
      month = {March},
  }