Bringing an old proof to modern problems
A physically consistent and self-adaptive numerical modelling approach opens the door to more accurate and reliable computational simulations of clinical and biological processes.
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A mathematical proof established more than 140 years ago provided the key for a KAUST-led team to develop a computational method for accurately simulating complex biophysical processes, such as the spread of disease and the growth of tumors.
Reaction-diffusion equations are widely used to model the dynamics of complex systems by providing a macroscopic mathematical description of the interplay between local interactions and random motion.
“Reaction-diffusion equations play a crucial role in many clinical applications, including computational epidemiology — an interdisciplinary field that combines mathematics and computational science — to enhance our understanding and control of the spatiotemporal spread of diseases in real time,” says Rasha Al Jahdali from the KAUST research team.
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Rasha Aljahdali
- Postdoctoral Research Fellow, Applied Mathematics and Computational Sciences
