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Anatomy of the biliary tree, liver, and gall bladder (From Jiju Kurian Punnoose, 10/12/2007).
Source publication
We develop and extend earlier results related to mathematical modelling of the liver formation zone by the adoption of noninteger order derivative. The hidden uncertainties in the model are captured and controlled thanks to the Caputo derivative. The stationary states are investigated and the time-dependent solution is approximated using two recent...
Citations
... Stenosis may develop at more than one location of the cardiovascular system. Many researchers [1][2][3][4][5] indicated that the rheology of blood and the fluid dynamical properties of blood flow can play a significant role in the basic understanding, diagnosis and treatment of many cardiovascular, cerebrovascular and arterial diseases. To understand the effects of stenosis on blood flow in arteries, several studies have been conducted by Misra and Shit [6] and Misra et al. [7,8]. ...
A theoretical investigation concerning the effect of arterial constriction on the flow of blood through a porous vessel in the presence of externally applied magnetic field has been carried out. In this study blood is assumed to be homogeneous Newtonian fluid flowing through a large blood vessel. In order to solve the problem, Adomian’s decomposition method is employed for obtaining its analytical solution. The analytical expressions for stream function, axial velocity component, wall shear stress are obtained and the corresponding numerical solutions for a specific set of dimensionless parameters have shown graphically. The results obtained for different values of the parameters show that the flow is appreciably influenced by the presence of magnetic field as well as the porosity of fluid medium. Thus the method developed here can capture small changes in the complex flow domain.
