Research Article

On Development of Blood Clots in Conditions of Blood Flow

Pankratov EL*

Nizhny Novgorod State University, Gagarin avenue, Nizhny Novgorod, Russia

Submission: October 07, 2024; Published: October 24, 2024

*Corresponding author: Nizhny Novgorod State Agrotechnical University, Gagarin avenue, Nizhny Novgorod, Russia.

How to cite this article: Pankratov EL*. On Development of Blood Clots in Conditions of Blood Flow. Curr Trends Biomedical Eng & Biosci. 2024; 23(2): 556104. DOI:10.19080/CTBEB.2024.23.556104

Abstract

We introduce a model of evolution of blood clots in blood flow. The model is generalization of recently obtained experimental data. Also, we introduce an analytical approach for analysis of the above evolution.

Keywords: Prognosis of blood clots; Distribution of concentration of Metobolites; Analytical approach for analysis

Introduction

One of most distributed diseases is atherosclerosis. During evolution of the disease one can find formation of single or multiply depositions [1-5]. Future development of these depositions leads to deformation and narrowing of the vessel lumen up to its blockage. In this situation it is attracted an interest prognosis of development depositions. In this paper we introduce and analyzed a model of evolution of blood clots in blood flow. Also, we introduce an analytical approach for analysis of the above evolution.

Method of solution

In this section we formulate a model to describe generation of blood clots. After the formulation we analyzed the model. The flow of a viscous liquid is de-scribed by the Navier-Stokes equations [6]

Generation, decay and distribution of main metabolites could be described by the following equations

Spatio-temporal distributions of concentrations of metabolites and velocities of their transport was analyzed analytically by using the second-order approximation in the framework of method of averaging of function corrections. The ap-proximation is usually enough good approximation for to make qualitative anal-ysis and to obtain some quantitative results. All obtained results have been checked by comparison with results of numerical simulations.

Discussion

In this section we analyzed spatio-temporal distribution of concentrations of metabolites. Figures 1 and 2 shows typical dependences of the above concentrations on time and coordinate. These figures show, that concentrations of metabolites could be increased or decreased at different conditions of transport.

Conclusion

We introduce a model of evolution of blood clots in blood flow. The model gives a possibility to take into account changing of conditions of blood clots in space and time as well as nonlinearity of the considered process. Also, we intro-duce an analytical approach for analysis of the of blood clots.

References

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