In this episode, they describe the process of ventilation and gas exchange and the bodily adaptations that support these ...

Abstract: Reaction-diffusion based tumor growth models have been widely used in the literature for modeling the growth of brain gliomas. Lately, recent models have started integrating medical images ...

Diffusion models have emerged as a powerful approach in generative AI, producing state-of-the-art results in image, audio, and video generation. In this in-depth technical article, we’ll explore how ...

Abstract: The problem of estimating the reaction coefficient of a system governed by a reaction-diffusion partial differential equation is tackled. An estimator relying on boundary measurements only ...

This paper concerns numerical solution of the diffusion equation with strong anisotropy on meshes not aligned with the anisotropic vector field. In order to resolve the numerical pollution for ...

Today, computational sciences have become indispensable. The advancement of high-performance computing infrastructure has triggered new questions, and as a result, computational sciences have led to ...

In the AI ecosystem, diffusion models are setting up the direction and pace of technological advancement. They are revolutionizing the way we approach complex generative AI tasks. These models are ...

Diffusion and wave propagation are both fundamental transport mechanisms, but they have intrinsically different dynamics, governing equations, and applications. Over the past decade, studies have ...

In the practical problems such as nuclear waste pollution and seawater intrusion etc., many problems are reduced to solving the convection-diffusion equation, so the research of convection-diffusion ...

The diffusion equation is a partial differential equation which is used to describe the macroscopic behavior of many particles in Brownian motion. Stemming from the stochastic movements and collisions ...