Computational Modeling of the Whole-Heart Electrical Activity (ppt; © Sinisa Sovilj)

1. Computational Modelling of the Whole-Heart Electrical Activity Siniša Sovilj, PhD University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, CROATIA

2. Računalno modeliranje električne aktivnosti srca dr.sc. Siniša Sovilj, dipl.ing. Sveučilište u Zagrebu, Fakultet elektrotehnike i računarstva

3. 1$ = 6 HRK UNSW UNIZG Osnovano 1949. 1669. Studenata 50.516 65.592 Zaposlenika 5300 8080 Fond (endowment) 1.520 M$ 328 M HRK ( 55 M$) Školarina 4000 $/kolegiju 50.000 $/god. 8000 HRK/god. (1333 $/god.) Smještaj 200-400$/tjedno 10-20 k$/god. 3000 kn/mjesečno Bruto plaća • Research associate • Assistant Prof. • Associate Prof. • Professor • 60-80 k$ • 80-100 k$ • 100-120 k$ • 125-140 k$ • 13.800 kn*12 =165.600 HRK (27.600 $) • • Neto plaća  -25%  -45%

4. Outline • Previous work • 0) single cell model • 1) simplified 2D model • 2) simplified 3D model • 3) realistic 3D model • Future work

12. Previous work • Prediction of postoperative AF

16. Previous work • Prediction of postoperative AF 0,00 5,00 10,00 15,00 20,00 25,00 30,00 35,00 40,00 1 2 3 4 5 6 7 8 9 AFprevelance% Postoperative day

18. 0) Single Cell model • FitzHugh-Nagumo (FHN) model                     1 2 1 2 1 SAN 1 m io e i e e ion i e i i ion m i e m m ion m n i n m m m o m V V V i t t V V V i t t V V V V B V B i k c V B a k c u A A V B V B i k c V B a k c u V V i t V Bu k d t A A e b A u                                                                                          non-SANm B

19. 0) Single Cell model • FitzHugh-Nagumo (FHN) model

20. 0) Single Cell model • FitzHugh-Nagumo (FHN) model                     1 2 1 2 1 SAN 1 m io e i e e ion i e i i ion m i e m m ion m n i n m m m o m V V V i t t V V V i t t V V V V B V B i k c V B a k c u A A V B V B i k c V B a k c u V V i t V Bu k d t A A e b A u                                                                                          non-SANm B

21. 1) Simplified 2D model   e σ / 0 σ / 0 e i b e b i V V on H V on V i H V on H V i n n B B                        n 0 n n J n   0 I LA RA II LF RA III LF LA GND V V V V V V V V V V X       

22. Transmembrane potential (Vm)

23. Transmembrane potential (Vm)

28. 2) Simplified 3D model

29. 𝑉𝐼 = 𝑉𝐿 − 𝑉𝑅 𝑉𝐼𝐼 = 𝑉𝐹 − 𝑉𝑅 𝑉𝐼𝐼𝐼 = 𝑉𝐹 − 𝑉𝐿 𝑎𝑉𝑅 = (2𝑉𝑅 − 𝑉𝐿 − 𝑉𝐹)/2 𝑎𝑉𝐿 = (2𝑉𝐿 − 𝑉𝑅 − 𝑉𝐹)/2 𝑎𝑉𝐹 = (2𝑉𝐹 − 𝑉𝑅 − 𝑉𝐿)/2 𝑉𝐶𝑇 = (𝑉𝐿 + 𝑉𝑅 + 𝑉𝐹)/3 𝑋 = 0.610 ∙ 𝐴 + 0.171 ∙ 𝐶 − 0.781 ∙ 𝐼 𝑌 = 0.655 ∙ 𝐹 + 0.345 ∙ 𝑀 − 1.000 ∙ 𝐻 𝑍 = 0.133 ∙ 𝐴 + 0.736 ∙ 𝑀 − 0.264 ∙ 𝐼 −0.374 ∙ 𝐸 − 0.231 ∙ 𝐶

31. Transmembrane potential (Vm) heart surface cross-section

38. Normal Anterior MI Inferior MI

39. Normal Anterior MI Inferior MI

43. 3) Realistic 3D model

44. Visual Human Project • Voxel size (torso): 0.9mm x 0.9mm x 3mm/slice

51. Segmentation • 0.9mm x 0.9mm x 6mm/slice

61. Heart • Heart + Aorta + Sup.&Inf. Vena Cava + Pulmonary Trunk

66. Heart

75. Mesh

76. Mesh

77. Mesh

78. Simulation

79. Simulation

80. Simulation

81. Simulation

82. Simulation

83. Simulation

84. Simulation

85. Simulation

86. Simulation

87. Simulation

88. Simulation

89. Simulation

90. Result

91. Conclusion • 3 torso-embedded whole-heart models • applications: new diagnostic tools (predictive, preventive, personalisied) Simplified 2D Simplified 3D Realistic 3D Tetrahedral Elements 8.174 21.106 298.728 DoF 28.403 51.680 682.768 Simul. Time (1 sec @ 1 ms) ~ 5 min ~ 1 h ~ 12 h * Intel Core i7-970 workstation, 24GB RAM, 100 Gflops

92. Future Work • realistic 3D model, finer geometry, details • induction of arrhythmias, defibrillation • inverse problem estimation (patient-specific) • more detailed cell models e.g. generic • coupling with other cardiac models: – electro-mechanical – cardiac flow models

93. Thank you!

Computational Modeling of the Whole-Heart Electrical Activity (ppt; © Sinisa Sovilj)

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