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Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 20 > No. 1

 
   

Modeling of Atherosclerosis and Thrombosis Using a One-Dimensional System With Pressure Parameter

PP: 267-283
doi:10.18576/amis/200118        
Author(s)
Nazirova Elmira, Dilafruz Nurjabova, Zulfiya Ismailova, Makhmudova Mokhiniso Mizrof kizi, Dildora Yuldasheva, Abror Nazirov, Xulkar Yunusova, Tangirbergenov Aymurat,
Abstract
In this present paper, the process of plaque formation in blood vessel walls (atherosclerosis) and blood clot formation (thrombosis) is analysed using the one-dimensional modelled system. It will help to describe the processes in the blood flow and the interaction of its components with the arterial walls, as a result of which plaques and blood clots occur. Most of the attention is paid to the mathematical modelling of diffusion, adhesion, and metabolic processes associated with the formation of deposits on the walls of blood vessels. One is working on the tool that enables one to track real-time changes in the vascular system while the process is going on and the results are being analysed. It is hoped that this work will help improve the reliability of diagnostics and the prognosis of cardiovascular diseases with the subsequent improvement of the prevention and recurrent drugs. This research is dedicated to a better understanding of the diagnosis and prognosis of cardiovascular diseases, which will increase the effectiveness of the protective and therapeutic measures against atherosclerosis and thrombosis. Cardio vascular disease (CVD) is one of the leading causes of mortality around the world and the ability to detect and predict it is still scarce in the early stages of atherosclerosis and thrombosis. The approach proposed in this contribution is a one dimensional mathematical model to numerically simulate the formation of a plaque and development of a thrombus in a blood vessel advised by a computational monitoring tool. In this model, blood flow dynamics lipid diffusion- adsorption processes, and blood coagulation reactions are coupled together in a same system in order to describe the interplay between hemodynamics and bio-chemical aspects. Compared to traditional 2D and 3D models this leads to a less computationally challenging model, and therefore it could allow real or near-real time simulation which could be useful for diagnosis. The model test its prediction by using secondary data from the published biomedical literature together with an experimentally obtained simulation data set. Computational simulations also show how different velocity profiles of blood promote lipid accumulation and platelet activation, resulting in occlusion of the vessel. It also includes information on hormonal and lipid profile, in an attempt to analysis their influence on cardio vascular risk. These findings confirm that the proposed framework can be implemented as a lightweight predictive tool for early diagnosis, treatment monitoring and personalized monitoring of vascular diseases

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