Modeling of liver deformation incorporating nonlinearity and viscoelasticity properties with optimized time step size

Teo, Phaik Hui (2013) Modeling of liver deformation incorporating nonlinearity and viscoelasticity properties with optimized time step size. Universiti Malaysia Sabah. (Unpublished)


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Mass Spring Model (MSM) is often used to model human liver due to its easy implementation and low computational complexity. It comprises of mass, spring damping and stiffness coefficients. This thesis focuses on development of a real-time human liver simulation which enabled an efficient implementation of liver mechanical response incorporating nonlinearity and viscoelasticity properties. Optimization of the computational problems is necessary to permit real-time liver simulation. In order to further speed up liver simulation, Adam Variable Step-Size Predictor-Corrector (AVSPC) method was preferred to solve the governing differential equations and considerably more accurate than RK4 method. AVSPC method with higher accuracy led to higher quality of liver simulation. A desirable feature of AVSPC method was that local truncation errors could be determined which improved accuracy of the answer at each step. Reduction of local truncation error was needed to maintain accuracy as well as prevented model states from rapid change. Optimized time step size 0.0063 was implemented in CHAI 3D to simulate real-time liver deformation caused by surgical indenter. Deformation of liver with higher deformation rate appeared to have higher stiffness and higher stress relaxation rate. In conclusion, this model was a plausibly significant liver tissue model which was suitable for real-time interaction, low computation, accurate, more realistic and acceptable to be used in near future.

Item Type: Academic Exercise
Uncontrolled Keywords: Mass Spring Model (MSM), Adam Variable Step-Size Predictor-Corrector (AVSPC), CHAI 3D
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Depositing User: Unnamed user with email
Date Deposited: 15 Nov 2016 06:59
Last Modified: 10 Oct 2017 08:37

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