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

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 tools ...

The research team has shown that a transcriptional co-activator ANGUSTIFOLIA3 (AN3) forms a signaling gradient along the leaf proximal-to-distal axis to determine cell-proliferation domain. In an ...

Gradients of molecular signaling factors play an essential role in numerous events in embryonic development, from patterning limb and organ formation to the intricate shaping of the brain and ...

This paper deals with the phenomenon of gradient blow-up of nonnegative classical solutions of the Dirichlet problem for (*) ${\mathrm{u}}_{\mathrm{t}}={\mathrm{u ...

https://doi.org/10.1525/sp.2002.49.1.35 • https://www.jstor.org/stable/10.1525/sp.2002.49.1.35 Copy URL This study investigates the inverse relationship between ...