Title: Biofilm Rheology: Properties, Applications, and Uncertainty

Abstract: Biofilms—communities of bacteria encased in a self-produced extracellular matrix—exhibit unique mechanical properties that are essential to their formation, persistence, and adaptation to environmental conditions. These properties emerge dynamically as biofilms interact with their physical and chemical surroundings. Recent advances have provided deeper insights into the structural composition of the biofilm matrix and...

FAST-SLOW ANALYSIS OF A MODEL FOR THE STIMULATION OF ENZYMATIC ACTIVITY BY A COMPETITIVE INHIBITOR

Competitive inhibitors can, paradoxically, stimulate an enzymatic reaction at low to moderate doses. Competitive inhibition of an enzyme occurs when an inhibitor binds to the enzyme’s binding site and blocks the enzyme’s target molecule from binding. We recently proposed a detailed but straightforward mass action model for competitive inhibition of phosphoglycerate kinase 1 (PGK1) by Terazosin (TZ)...

Title: Automorphic representations and L-functions for GL(1) over Q

Title: Never pure and rarely linear: Unraveling the patterns and dynamics of inherited retinal degenerations with mathematical models

Abstract: "Blindness is seldom a binary condition. This is true even of forms of vision loss that arise through genetic mutations. Rather, blindness varies by pattern and by degree. For example, mutations in some genes typically cause loss in peripheral vision, while other genes typically cause loss of central vision. Stargardt disease, caused by mutations in the...