Skip to main content

Bridging the Gap: Physics-Driven Deep Learning for Heat Transfer Model of the Heart Tissue

  • Conference paper
  • First Online:
Disruptive Information Technologies for a Smart Society (ICIST 2024)

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
€32.70 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Austria)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 154.07
Price includes VAT (Austria)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 197.99
Price includes VAT (Austria)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Bergman, T.L.: Fundamentals of Heat and Mass Transfer. John Wiley & Sons (2011)

    Google Scholar 

  2. Bergman, T.L., Lavine, A.S., Incoropera, F.P., DeWitt, D.P.: Introduction to Heat Transfer. John Wiley & Sons (2011)

    Google Scholar 

  3. 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)

    Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. Alifanov, O.M.: Inverse Heat Transfer Problems. Springer Science & Business Media (2012)

    Google Scholar 

  6. 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)

    Article  MathSciNet  Google Scholar 

  7. 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)

    Article  MathSciNet  Google Scholar 

  8. LeCun, Y., Bengio, Y., Hinton, G.: Deep learning. Nature 521(7553), 436–444 (2015)

    Article  Google Scholar 

  9. 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)

    Article  Google Scholar 

  10. 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)

    Article  Google Scholar 

  11. 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)

    Article  MathSciNet  Google Scholar 

  12. 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)

    MathSciNet  Google Scholar 

  13. 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)

    Google Scholar 

  14. 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)

    Article  Google Scholar 

  15. 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)

    Google Scholar 

  16. 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)

    Google Scholar 

  17. 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)

    Google Scholar 

  18. 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)

    Google Scholar 

  19. 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)

    Google Scholar 

  20. 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)

    Article  Google Scholar 

  21. 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)

    Article  MathSciNet  Google Scholar 

  22. Recktenwald, G.W.: Finite-difference approximations to the heat equation. Mechanical Engineering (2004)

    Google Scholar 

Download references

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)].

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tijana Geroski .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

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

Download citation

Publish with us

Policies and ethics