9 papers
A Revision of the Bernoulli Equation as a Controller of the Fick's Diffusion Equation in Drug Delivery Modeling
Ali Esmaeili, Saeed Ranjbar
Mathematical equations can be used as effectual tools in drug delivery systems modeling and are also highly helpful to have a theoretical understanding of controlled drug release a…
A novel quantitative indicator of the left ventricular contraction based on volume changes of the left ventricular myocardial segments
Mersedeh Karvandi, Saeed Ranjbar
Ejection fraction (EF) is commonly measured by echocardiography, by dividing the volume ejected by the heart (stroke volume) by the volume of the filled heart (end-diastolic volume…
Inverse Galois Problem and Significant Methods
Fariba Ranjbar, Saeed Ranjbar
The inverse problem of Galois Theory was developed in the early 1800 s as an approach to understand polynomials and their roots. The inverse Galois problem states whether any finit…
Left ventricular myocardium of heart as a 3D scheme
Saeed Ranjbar, Mersedeh Karvandi
In this paper it will be shown that according to the scheme theory in algebraic geometry, human heart as an elastic body can be represented as a 3D scheme, on account of algebraic…
A novel mathematical technique to assess of the mitral valve dynamics based on echocardiography
Mersedeh Karvandi, Saeed Ranjbar, Seyed Ahmad Hassantash +1
Purpose: The mechanics of the mitral valve leaflet as a nonlinear, inelastic and anisotropic soft tissue results from an integrated response of many mathematical/physical indexes'…
A Novel Mathematical/Numerical Formula for Assessing Right Ventricular Torsion Using Echocardiographic Imaging
Saeed Ranjbar
Recently, the ventricular torsional parameters have received special attention because of their significant role in the ventricular systolic and diastolic function. Right ventricul…