Application of DDE numerical methods in determination of leukocyte oscillation period

Dishmema, Elfrida and Dara, Frederika (2018) Application of DDE numerical methods in determination of leukocyte oscillation period. Journal of Natural Sciences and Mathematics of UT, 3 (5-6). pp. 180-188. ISSN 2671-3039

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Abstract

Differential equations are one of the most frequently used tools of mathematics for studying processes in natural and physical sciences. During recent years’ considerable interest has been given to numerical solution of delay differential equations (DDEs). This is because of the appearance of such equations in various areas such as economy, neural networks, ecology, medicine, engineering and many other areas. DDEs describe mathematical models for systems in which the rate of change depends not only on the current study period but also on their history in the past. Techniques for solving ordinary differential equations (ODEs) and DDEs are based on numerical approaches of the solution. Nowadays, there are known a large number of methods for building numerical approximations of the initial value problem in DDEs and ODEs. We deal with the study of a particular problem of Chronic Myelogenous Leukemia (CML). We created a mathematical model with DDEs, conducted the analysis, studied the efficiency of numerical methods and highlighted the advantages and disadvantages of any method. This analysis can help better understand the dynamics of this disease, leading to improved treatment

Item Type:	Article
Subjects:	Q Science > Q Science (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	05 Jun 2019 08:34
Last Modified:	05 Jun 2019 08:34
URI:	http://eprints.unite.edu.mk/id/eprint/160

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