UPSI Digital Repository (UDRep)
|
|
|
Abstract : Universiti Pendidikan Sultan Idris |
The research aim's is to produce distinguishable shapes of red blood cells (RBC) by utilizing partial differential equations (PDE). This work employs the solution of a fourth-order elliptic PDE in alliance with a group of boundary conditions as a technique to design the shapes, known as the PDE method. This method can generate various surfaces based on a boundary representation with fewer parameters. Furthermore, it is easy to modify the shape of PDE-based surfaces because it is characterized by data scattered around the boundaries. The findings showed that the PDE method is suitable in designing a normal RBC's shape. In addition, two equations have been obtained from the data regarding the normal RBC's radius and height. These equations can be utilized to transform the parametric design of RBC to abnormal cells by changing the value of some parameters. In conclusion, the PDE method is capable to create smooth parametric surface representations of any given blood cells shape, as well as surfaces of complex geometries which then can be easily modified. ? 2021 RIGEO. All Rights Reserved. |
References |
Ahmad, A., Ahmat, N., Adnan, M. Fair Transition Spiral'Using a Single Rational Quadratic B6zier Curve (2020) Journal of Computer Science & Computational Mathematics, 10 (1), pp. 7-12 Ahmad, A. Constructing C-shape transition curve that satisfy G 2 Hermite Interpolation Data (2020) Journal of Science and Mathematics Letters, 8 (2), pp. 39-50 Ahmat, N., González Castro, G., Ugail, H. Automatic shape optimisation of pharmaceutical tablets using Partial Differential Equations (2014) Computers and Structures, 130, pp. 1-9. DOI: 10.1016/j.compstruc.2013.09.001 Ahmat, N., Ugail, H., Castro, G.G. Method of modelling the compaction behaviour of cylindrical pharmaceutical tablets (2011) International Journal of Pharmaceutics, 405 (1-2), pp. 113-121. DOI: 10.1016/j.ijpharm.2010.12.006 Ahmat, N., Ugail, H., González Castro, G. Elastic-plastic contact law for simulation of tablet crushing using the biharmonic equation (2012) International Journal of Pharmaceutics, 427 (2), pp. 170-176. DOI: 10.1016/j.ijpharm.2012.01.053 Al-Dahoud, A., Ugail, H. A method for location based search for enhancing facial feature detection (2017) Advances in Intelligent Systems and Computing, 513, pp. 421-432. DOI: 10.1007/978-3-319-46562-3_27 Alder, L., Tambe, A. (2019) Acute Anemia [online]. Arbin, N., Idris, M.S., Ariffin, L.M., Hamzah, F.M., Sabri, S.R.M. On linear and oblong leaves shape model (2017) Far East Journal of Mathematical Sciences, 102 (12), pp. 2971-2977. DOI: 10.17654/MS102122971 Angelov, B., Mladenov, I.M. On the geometry of red blood cell (2000) Geometry, Integrability and Quantization II, pp. 27-46 Ismail, N.B., Ahmat, N. Spoon design using partial differential equations (2018) AIP Conference Proceedings, 1974, art. no. 020105 Mladenov, I.M., Hadzhilazova, M.Ts., Djondjorov, P.A., Vassilev, V.M. On some deformations of the Cassinian oval (2011) AIP Conference Proceedings, 1340, pp. 81-89. DOI: 10.1063/1.3582761 Kleinbongard, P., Schulz, R., Rassaf, T., Lauer, T., Dejam, A., Jax, T., Kumara, I., Gharini, P., Kabanova, S., Özüyaman, B., Schnürch, H.-G., Gödecke, A., Weber, A.-A., Robenek, M., Robenek, H., Bloch, W., Rösen, P., Kelm, M. Red blood cells express a functional endothelial nitric oxide synthase (2006) Blood, 107 (7), pp. 2943-2951 DOI: 10.1182/blood-2005-10-3992 Raven, P.H., Johnson, G.B., Mason, K.A., Losos, J.B., Singer, S.R. The components of blood (2014) Biology, pp. 1018-1021 Sheng, Y., Willis, P., González Castro, G., Ugail, H. Facial geometry parameterisation based on partial differential equations (2011) Mathematical and Computer Modelling, 54 (5), p. 15361548 Ugail, H. Partial Differential Equations for Geometric Design (2011) Partial Differential Equations for Geometric Design Ugail, H., Bloor, M.I.G., Wilson, M.J. Techniques for interactive design using the PDE method (1999) ACM Transactions on Graphics, 18 (2), pp. 195-212. DOI: 10.1145/318009.318078 Vayo, W. Differential geometry and the red blood cell (2007) PAMM, 7 (1), pp. 1151101-1151102 Zulkifly, M.I.E., Wahab, A.F. Visualization of intuitionistic fuzzy B-Spline space curve and its properties (2019) EDUCATUM JSMT, 6 (1), pp. 41-46
|
This material may be protected under Copyright Act which governs the making of photocopies or reproductions of copyrighted materials. You may use the digitized material for private study, scholarship, or research. |