Physics-informed neural networks (PINNs) have been proposed to learn the solution of
partial differential equations (PDE). In PINNs, the residual form of the PDE of interest and its …

In this study, we consider Murray's and Glioma's tumor growth models based on
reactiondiffusion equation. Mathematical modeling of tumor development are involved with …

We work with a well-known model of reaction–diffusion type for brain tumour growth and
accomplish full 3-dimensional (3d) simulations of the tumour in time on two types of imaging …

This thesis concerns the application of methods and techniques from the theory of inverse
problems and differential equations to study models arising in the areas of mathematical …

The concentration of glioblastomas multiforme (GBM) tumour equation is numerically solved
in terms of net rates of proliferation and invasion. The GBM tumour cells concentration …

Physics-informed neural networks (PINNs) have become popular as part of the rapidly
expanding deep learning field in recent years. However, their origins date back to the early …

A tumour, also called neoplasm, refers to an abnormal growth of normal tissue, caused by
genetic and epigenetic events–with the actual tumour forming when cells divide more than …

In this paper, the concentration of glioblastomas multiforme (GBM) tumour equation is
numerically solved in terms of net rates of proliferation and invasion. The GBM tumour cells …