Phosphatase-Coupled Universal Kinase Assay and Kinetics for First-Order-Rate Coupling Reaction

Phosphatase-Coupled Universal Kinase Assay and Kinetics for First-Order-Rate Coupling Reaction

Kinases use adenosine-5'-triphosphate (ATP) as the donor substrate and generate adenosine-5'-diphosphate (ADP) as a product. An ADP-based phosphatase-coupled kinase assay is described here. In this assay, CD39L2, a nucleotidase, is added into a kinase reaction to hydrolyze ADP to AMP and phosphate. The phosphate is subsequently detected using malachite green phosphate-detection reagents. As ADP...

SnapShot: Lipid Kinase and Phosphatase Reaction Pathways

A Universal Catalyst for First-Order Optimization

We introduce a generic scheme for accelerating first-order optimization methods in the sense of Nesterov, which builds upon a new analysis of the accelerated proximal point algorithm. Our approach consists of minimizing a convex objective by approximately solving a sequence of well-chosen auxiliary problems, leading to faster convergence. This strategy applies to a large class of algorithms, in...

Smoluchowski Reaction Kinetics for Reactions of Any Order

In 1917, Marian von Smoluchowski presented a simple mathematical description of diffusioncontrolled reactions on the scale of individual molecules. His model postulated that a reaction would occur when two reactants were sufficiently close and, more specifically, presented a succinct relationship between the relative proximity of two reactants at the moment of reaction and the macroscopic react...

Reaction rate theory for supramolecular kinetics: application to protein aggregation

Thomas C. T. Michaelsa, Lucie X. Liua, Samo Curkc, Peter G. Bolhuisd, Anđela Šarićc and Tuomas P. J. Knowlesa,e aDepartment of Chemistry, University of Cambridge, Lensfield Road, Cambridge, CB2 1EW, UK; bPaulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA; cDepartment of Physics and Astronomy, Institute for the Physics of Living Systems, University C...