Cover page and Table of Contents: PDF (size: 362KB)
Full Text (PDF, 362KB), PP.9-18
Views: 0 Downloads: 0
Biological system modeling, Differential equations, Human biliary system, Disease
The objective of this paper is to develop an understanding of the diseases related with gallbladder, liver, and biliary tract. The study focuses on human biliary system that is how bile flows in the human body. This can be done by developing an understanding of gallbladder and bile flowing in the body and related organs very briefly. Gallstone is an important disease of gallbladder and is closely related to pressure drop. A small model for the human biliary system is also analyzed in this study. The cylindrical model of gallbladder and ducts in contraction and extension phase is used for the study. The amount of substances present in the organ varies in these cases. With the help of this study it is concluded that the flux decreases on increasing the radius and length of the cylinder. It is observed that the behavior of flow of bile in gallbladder is similar to the flow of bile in the ducts.
Dharna Satsangi, Arun K. Sinha, "Anatomy and Diseases of Human Biliary System: An Analysis by Mathematical Model", International Journal of Modern Education and Computer Science(IJMECS), vol.4, no.8, pp.9-18, 2012. DOI:10.5815/ijmecs.2012.08.02
G.E. Burget (1925), "The regulation of the flow of bile".
Cz. M. Rodkiewicz (1978), "Empirical relationships for the flow of bile".
Cz. M. Rodkiewicz,W.J.Otto (1979), "On the Newtonian behavior of bile".
Norman A. Mazer and Martin C. Carey (1984), "Mathematical model of biliary lipid secretion: a quantitative analysis of physiological and biochemical data from man and other species".
T V Taylor and C P Armstrong (1987), "Migration of gallstones".
Dieter Jungst,Thomas Lang,Peter Huber, Volker Lange and Gustav Paumgartner (1993), " Effect of phospholipids and bile acids on cholesterol nucleation time and vesicular/micellar cholesterol in gallbladder bile of patients with cholesterol stones".
Dieter Jungst, Anna Niemeyer, Iris Muller,Benedikta Zundt, Gunther Meyer, Martin Wilhelmi, Reginald del Pozo (2001), "Mucin and phospholipids determine viscosity of gallbladder bile in patients with gallstones".
Quang Dang, Hans Gregersen, birgitte duch and Ghassan s. Kassab (2004), "Indicial response functions of growth and remodeling of common bile duct postobstruction".
N.C.Bird, R.C.Ooi, X.Y.Luo,S.B.Chin and A.G.Johnson (2006), "Investigation of the functional three-dimensional anatomy of the human duct: A single Helix?".
W.G.Li,X.Y.Luo,A.G.Johnson,N.A.Hill,N.Bird,S.B.Chin (2007)," One dimensional Models of the Human Biliary System".
Li, W.G., Luo, X.Y., Chin, S.B., Hill, N.A., Johnson, A.G. and Bird, N.C. (2008), "Non-Newtonian bile flow in elastic cystic duct:one- and three- dimensional modeling".