Modeling the shape of red blood cell using the PDE Method

This study aims to model the shape of a normal red blood cell (RBC) and two shapes of sickle cells using the partial differential equation (PDE). The development of this technique was based on the use of an elliptic PDE and a set of four periodic boundary conditions. The PDE method can generate surfaces of geometries from a small number of parameters. Furthermore, the shape of the surfaces generated by the PDE method is based on a boundary representation and can easily be modified since it is characterized by data distributed around the boundaries. In this study, the shapes of the generated PDE-based representation of a normal RBC and sickle cell has been sketched by using MATLAB program. The fmdings showed that the PDE method is suitable for representing the shape of a normal RBC and sickle cells. Besides that, the data regarding the radius and height from the normal RBC and one of the sickle cells, are then used to obtain four equations. These equations can be utilized for future prediction in designing both normal RBC and sickle cells. In conclusion, the PDE method can generate smooth parametric surface representations of any given shape of blood cells. The study implicates that the PDE method is capable of generating surfaces of complex geometries.