Unsupervised physics-informed neural network in reaction-diffusion biology models (Ulcerative colitis and Crohn's disease cases) A preliminary study

A Rebai, L Boukhris, R Toujani, A Gueddiche… - arXiv preprint arXiv …, 2023 - arxiv.org
We propose to explore the potential of physics-informed neural networks (PINNs) in solving
a class of partial differential equations (PDEs) used to model the propagation of chronic …

Integrable systems as fluid Models with physical applications

T Lyons - 2013 - arrow.tudublin.ie
In this thesis we begin with the development and analysis of hydrodynamical models as they
arise in the theory of water waves and in the modelling of blood flow within arteries. Initially …