Aggregation-diffusion equations and gradient flows form a dynamic field of study at the intersection of mathematical analysis, statistical mechanics and applied physics.

New work describes vital aspects of diffusion processes in tissue development, including the roles that molecular diffusion gradients have on stem cell signaling pathways along with new modeling ...

Conclusions: Using ultra-high gradient diffusion MRI and a novel diffusion model, we detected distinct diffusion patterns in the tumor and peritumoral area not seen on conventional MRI. Lower VFW in ...

Based on this diffusion-based framework, they succeeded in demonstrating that the AN3 gradient could be achieved solely by pure diffusion process through plasmodesmata in developing leaf primordia.

Diffusion gradients allow cells being studied to remain in the microchamber without the chance of their being swept away.

Christian Stinner, Michael Winkler, Finite Time vs. Infinite Time Gradient Blow-up in a Degenerate Diffusion Equation, Indiana University Mathematics Journal, Vol. 57, No. 5 (2008), pp. 2321-2354 ...

Fred C. Pampel, Inequality, Diffusion, and the Status Gradient in Smoking, Social Problems, Vol. 49, No. 1 (February 2002), pp. 35-57 ...