Modelling Growth and Formation of Thrombus: A Multiphasic Approach
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Beschreibung
This thesis is dedicated towards the development of a multiphasic approach to model growth and formation of thrombus. It uses the Theory of Porous Media to develop the model and use theoretical understanding to model the growth.
Aortic Dissection (AD) has a high mortality rate. About 40% of the people with type B AD do not live for more than a month. Aortic Dissection begins when a tear occurs in the inner layer (intima) of the aortic wall. Moreover, a second blood-filled channel called a false lumen is created where thrombosis occurs. The prognosis of AD is quite challenging. Hence, we present a computational model for the formation and growth of thrombus. Because of the complex nature of biological systems, we use a macroscopic continuum-mechanical approach of the Theory of Porous Media.
The whole aggregate is divided into solid, liquid and nutrient constituents. The constituents are assumed to be materially incompressible and isothermal, and the whole aggregate is assumed to be fully saturated. Darcy's law describes the flow of fluid in the porous media. The volume fractions quantify the constituents. Therefore, the regions with thrombus formation are determined using the solid volume fraction. The balance equations of the constituents have coupling terms, which are responsible for the mass exchange and interactions between the phases. These terms play a crucial role in modelling the formation and growth of the thrombus.
We introduce the set of equations and numerical examples for thrombosis in typ.
Autor*in
Ishan Gupta
Themen in »Modelling Growth and Formation of Thrombus: A Multiphasic Approach«
Theory of Porous Media Biomechanics Thrombosis Formation Growth Multiphase