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The Application Of 0-1D Blood Circulation Model In The Study Of Liver Blood Supply

Posted on:2021-07-12Degree:MasterType:Thesis
Country:ChinaCandidate:T ZhengFull Text:PDF
GTID:2480306500475494Subject:Computational Mathematics
Abstract/Summary:PDF Full Text Request
In liver surgery,we need to pay close attention to the blood pressure and flowrate in patients.Only when the blood pressure and flowrate are controlled in a reasonable range,can we ensure the success of the operation.At present,medical equipment is usually used in clinical operation to monitor the blood pressure and flow changes of patients in real time.In recent years,with the increase of theoretical reserve and the improvement of calculation methods,it is possible to simulate human blood circulation by means of calculation.The purpose of this study is to establish a 0-1D system model to simulate the circulation state of blood flow between the heart and liver,and to estimate the model parameters of various systems by using blood pressure and other experimental data that can be easily measured,so as to better simulate and observe the characteristics of blood flow and blood pressure distribution in the human body.The main research work and results are summarized as follows:1.In this paper,the 1-D hemodynamic system consisting of the mass conservation equation and the momentum equation are introduced.The finite element expression of the equations is derived,and the conditions for the existence of the solutions of the finite element method are proved.2.Based on the establishment of the single segment blood vessel model and the bifurcation model,the solution of the blood vessel equations is discussed when the end of the blood vessel is coupled with different boundary condition models.Numerical examples are introduced to simulate the blood transmission under several different boundary conditions,and the simulation results shows consistancy with the real situation.3.According to the hemodynamic equations,the estimation method of blood vessel parameters is derived,and the rationality of the parameter estimation method is verified by an example,and the estimation results shows consistancy with the real situation.4.This paper introduces a liver model which is composed of a tree of hepatic artery,a tree of portal vein and a tree of hepatic vein.The equations of the model are deformed to estimate the liver related parameters.An example is introduced to estimate the parameters,and the results shows consistancy with the real situation.5.This paper introduces the heart model which is composed of the ventricular elastic chamber model and the heart valve model.The equations of the model are deformed to estimate the heart related parameters.An example to estimate the heart related parameters,and the results shows consistancy with the real situation.In this paper,a 01-D system model is used to simulate the circulation of blood flow between the heart and liver.The simulation results are in good agreement with the actual situation.In addition,the parameter estimation methods of each sub model are derived,and the rationality of the parameter estimation methods is verified by an example.Further research on this topic will be able to provide more powerful data support and effective decision-making basis for clinical operations.
Keywords/Search Tags:Blood circulation simulation, Hemodynamics, Finite element method, Liver model, Heart model
PDF Full Text Request
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