Contents & References of Simulation of the beating heart, taking into account the action of the diaphragm and the flow field
List:
1- First chapter 1
1-1- Introduction 2
1-1-1- Heart anatomy 4
1-1-1-1-Right atrium 7
1-1-1-2-Right ventricle 7
1-1-1-3-left atrium 8
1-1-1-4-left ventricle 8
1-1-1-5-coronary arteries 9
1-1-1-6-stimulation-conduction device of the heart 9
1-1-1-7-cardiac cycle 12
1-1-1-8-electrocardiogram 16
1-1-1-9-blood flow in the body 18
1-1-2- blood viscosity 19
1-1-2-1-cardiac output 20
1-1-2-2-heart layers 21
1-1-2-3-Myocardial layer 21
2- Chapter Two 23
2-1- Review of past researches 24
3- Chapter Three 51
Description of equations of hyperelastic and viscoelastic materials and equations governing fluid flow field]34,38,42,43 [ 52
3-1- Introduction 52
3-1-1- Hyperelastic material 52
3-1-1-1-Isotropy 53
3-1-1-2-strain energy density function 53
3-1-2- Proposed hyperelastic models 60
3-1-2-1-Neo-Hockin model 60
3-1-2-2-Money-Rivelin model 61
3-1-2-3-Arruda-Boyce model 61
3-1-2-4-Marlowe model 62
3-1-2-5-Ogden model 62
3-1-2-6-polynomial model 63
3-1-2-7-reduced polynomial model 63
3-1-2-8-van der Waals model 64
3-1-2-9-Joh model 65
3-1-2-10-thermal expansion 65
3-1-3- viscoelastic material 65
3-1-3-1-history 67
3-1-3-2-small strain 67
3-1-3-3-large strain 69
3-1-4- viscohyperelastic material 70
3-2- Experimental tests 71
3-2-1- Uniaxial test 75
3-3- Arbitrary Lagrange-Euler method 76
3-4- Fluid flow equations 78
3-4-1- Moving network method 79
3-4-2- How to update Moving grid 79
3-4-3- smoothing by spring elements 80
3-4-3-1-smoothing based on penetration 81
3-4-4- governing equations of structure-fluid interaction[39] 84
3-4-4-1-solution algorithms[38] 85
3-5- Blood models] 43[89
4- Chapter four 91
4-1- Modeling the left side of the heart and left ventricle in Mimics software 92
4-1-1- First step: Simulation of real geometry 93 4-1-2- Reconstruction of real geometry 95 4-1-3 Image processing and three-dimensional volume production 95 4-1-4 Checking how the boundary conditions are 100 4-1-5 Checking the input boundary condition 103 4-1-6 Checking the boundary condition Output 107
4-1-7- Simulation limitations 109
4-1-8- Choosing a hyperelastic model for modeling the soft tissue of the heart (myocardium) 113
Neo-Hockin model 114
4-1-9- Moony-Rivlen model with two variables 115
4-1-10- Moni-Rioline model with five variables 116
4-1-11- Conclusion 118
120 5-1 Preliminary results obtained in Mimics software 121 5-1-1 Calculation of cardiac ejection fraction 123 5-2 Network study 126 5-2-1 Conclusion 133 5-3 Blood flow field in ventricle Left side of the human heart 134 5-3-1- Blood flow field in the left ventricle with a fixed wall at a constant speed in the mitral valve (inlet of the left ventricle) in the 50% phase 135 5-3-2- Blood flow field in the left ventricle with a fixed wall at a variable speed in the mitral valve (inlet of the left ventricle) in the 50% phase 137 5-4- Structure-fluid in the left ventricle 142
5-4-1- Network study 143
5-4-2- Investigating the structure-fluid interaction in the left ventricle unilaterally 145
5-4-3- Investigating the structure-fluid interaction in the left ventricle bilaterally 151
6- Chapter 169 6-1 Summary and recommendations 170 Source: [1] Taylor C.A., Hughes T.J. and Zarins C.K. "Finite Element Modeling of Blood Flow in Arteries." Computer Methods in Applied Mechanics and Engineering, Vol. 158, (pp. 155–196), 1998.
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[8] Alishahi, Marzieh. Thesis entitled Simulation of blood flow in occluded flexible vessel, Shiraz University. (1388).
[9] Sajjadi, Sayeda Zahra Begum. Dissertation titled geometric simulation of beating heart, Shiraz University. (1390).
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