Naslov
Numerical Solution and Uncertainty Quantification of Bioheat Transfer Equation Using Neural Network Approach

Autori
Lojić Kapetanović, Ante ; Šušnjara, Anna ; Poljak, Dragan

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Engineering Modelling, SpliTech 2020 / - , 2020, 1-6

Skup
5th International Conference on Smart and Sustainable Technologies 2020

Mjesto i datum
Bol, Hrvatska, 23.09.2020. - 26.09.2020

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
bioelectromagnetism ; bioheat transfer equation ; numerical modelling ; physics-informed neural networks ; uncertainty quantification

Sažetak
The paper deals with a novel approach to carry out uncertainty quantification in modelling of bioheat transfer equation using neural networks and deep learning. The output uncertainty is achieved via Monte Carlo (MC) dropout procedure using Bayesian inference, while the input uncertainty propagation is achieved using MC simulation of the ensemble of physics-informed neural networks (PINNs). The proposed approach uses a neural network with integrated physical knowledge without need of any prior assumptions and mesh generation, respectively. Deterministic modelling is related to both analytical and numerical (finite element method) solution of bioheat transfer equation. The computational example considered in this work pertains to the solution of rather simple one-dimensional problem of bioheat transfer, as a kind of opener to the subject.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika, Interdisciplinarne biotehničke znanosti

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