Abstract
The potential of Physics-Informed Neural Networks (PINNs) in addressing intricate real-world challenges exceeds the capabilities of traditional deep learning methods by merging data-driven and physics-driven approaches. PINNs offer advantages in handling computationally and temporally demanding problems that were conventionally approached using techniques like Finite Difference Method (FDM). This study focuses on analyzing heat transfer within cardiac tissue to deepen our understanding of the mechanism from ablation catheters or implants to surrounding blood and tissue layers. Accurately estimating temperature increases is crucial for designing reliable catheters and mitigating overheating risks. By defining the geometry and boundary conditions to simulate catheter-induced heating, we compare the results with state-of-the-art solutions such as FDM. PINN models demonstrate high accuracy, validated against FDM, with notable benefits including reduced reliance on handcrafted features, adaptability to complex domains, and efficient training and inference. These results can guide future investigations of the behavior of cardiac tissue under varied conditions.
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References
Bergman, T.L.: Fundamentals of Heat and Mass Transfer. John Wiley & Sons (2011)
Bergman, T.L., Lavine, A.S., Incoropera, F.P., DeWitt, D.P.: Introduction to Heat Transfer. John Wiley & Sons (2011)
He, Z., Ni, F., Wang, W., Zhang, J.: A physics-informed deep learning method for solving direct and inverse heat conduction problems of materials. Materials Today Communications 28 (2021)
Palma, R., Perez-Aparicio, J.L., Taylor, R.L.: Non-linear finite element formulation applpied to thermoelectric materials under hyperbolic heat condcution model. Comput. Methods Appl. Mech. Eng. 213, 93–103 (2012)
Alifanov, O.M.: Inverse Heat Transfer Problems. Springer Science & Business Media (2012)
Tanaka, M., Matsumoto, T., Takakuwa, S.: Dual reciprocity BEM for time-stepping approach to the transient heat conduction problem in nonlinear materials. Comput. Methods Appl. Mech. Eng. 195(37–40), 4953–4961 (2006)
Yan, L., Yang, F.L., Fu, C.L.: A meshless method for solving an inverse spacewise-dependent heat source problem. J. Comput. Phys. 228(1), 123–136 (2009)
LeCun, Y., Bengio, Y., Hinton, G.: Deep learning. Nature 521(7553), 436–444 (2015)
Pasrija, P., Jha, P., Upadhyaya, P., Khan, M., Chopra, M.: Machine learning and artificial intelligence: a paradigm shift in big data-driven drug design and discovery. Current Topics in Medical Chemistry 22(20), 1692–1727 (2022)
Cuomo, S., Di Cola, V.S., Giampaolo, F.: Scientific machine learning throgh phsics informed neural networks: where we are and what’s next. J. Sci. Comput. 92(3), 88 (2022)
Raissi, M., Perdikaris, P., Karniadakis, G.E.: Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. J. Comput. Phys. 378, 686–707 (2019)
Baydin, A.G., Pearlmutter, B.A., Radul, A.A., Siskind, J.M.: Automatic differentiation in machine learning: a survey. J. Mach. Learn. Res. 18, 1–43 (2018)
Bowman, B., Oian, C., Kurz, J., Khan, T., Gil, E., Gamez, N.: Physics-informed neural networks for the heat equation with source term under various boundary conditions. Algorithms 16(9) (2023)
Pu, J., Li, J., Chen, Y.: Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method. Nonlinear Dyn. 105, 1723–1739 (2021)
Kadeethum, T., Jorgensen, T.M., Nick, H.M.: Phisics-informed neural networks for solving nonlinear diffusivity and Biot’s equations. PloS One 15(5) (2020)
Cai, S., Wang, Z., Wang, S., Perdikaris, P., Karniadakis, G.E.: Physics-informed nerual networks for heat transfer problems. J. Heat Transfer 143(6), 060801 (2021)
Lagergren, J.H., Nardini, J.T., Baker, R.E., Simpson, M.J., Flores, K.B.: Biologically-informed neural networks guide mechanistic modeling from sparse experimental data. PloS Computational Biology 16(12) (2020)
Buoso, S., Joyce, T., Kozerke, S.: Personalising left-ventricular biophysical models of the heart using parametric physics informed neural networks. Medical Image Analysis 71 (2021)
Chabiniok, R., et al.: Multiphysics and multiscale modelling, data-model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics. Interface Focus 6(2) (2016)
Zangooei, H., Mirbozorgi, S.A., Mirbozorgi, S.: Thermal analysis of heat transfer from catheters and implantable devices to the blood flow. Micromachines. 12(3), 230 (2021)
Li, J.-R., Greengard, L.: On the numerical solution of the heat equation I: fast solvers in free space. J. Comput. Phys. 226(2), 1891–1901 (2007)
Recktenwald, G.W.: Finite-difference approximations to the heat equation. Mechanical Engineering (2004)
Acknowledgements
This research is funded by the project that has received funding from the European Union’s Horizon Europe research and innovation programme under grant agreement No 101080905 (STRATIFYHF). This research is also supported by Ministry of Science, Technological Development and Innovation of the Republic of Serbia, contract numbers [451–03-47/2023–01/200107 (Faculty of Engineering, University of Kragujevac) and 451–03-47/2023–01/200378 (Institute for Information Technologies, University of Kragujevac)].
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Geroski, T., Pavić, O., Dašić, L., Filipović, N. (2024). Bridging the Gap: Physics-Driven Deep Learning for Heat Transfer Model of the Heart Tissue. In: Trajanović, M., Filipović, N., Zdravković, M. (eds) Disruptive Information Technologies for a Smart Society. ICIST 2024. Lecture Notes in Networks and Systems, vol 860. Springer, Cham. https://doi.org/10.1007/978-3-031-71419-1_14
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