The phrase "a faster rate with" is correct and usable in written English.
It can be used when discussing the speed or efficiency of a process or action in relation to something else.
Example: "The new software operates at a faster rate with improved algorithms."
Alternatives: "an increased speed with" or "a quicker pace with".
PG-based gels delivered the drug at a faster rate with the incorporation of the enhancer.
"We should be growing at a faster rate with a more diverse group of industries that make this their world capital," said Senator Charles E. Schumer.
Trait impulsive action does not consistently predict higher levels of cocaine intake (eg, current study; Besson et al, 2013), although HI rats acquire cocaine self-administration at a faster rate with higher intake levels than LI rats when trained on submaximal doses of cocaine (Anastasio and Cunningham, unpublished observations; Belin et al, 2008; Dalley et al, 2007) (but, see Besson et al, 2013).
Dynamic light scattering (DLS) studies reveal that for a fixed degree of polymerization (DP) of the PMMA block the hydrodynamic diameter of the micelles in methanolic water (water 95 vol%) increases at a faster rate with the DP of the PDMAEMA block when it is much greater than that of the PMMA block compared to when it is less than or close to that of the latter.
Technology is developing at a faster rate, with ever more devices becoming more connected, and at ever greater speeds.
In this figure, it can be seen that pressure in the fractures drops at a faster rate with respect to rock matrix pressure.
Machining using vertical CNC end mill is popular in the modern material removal industries because of its ability to remove the material at a fast rate with a reasonably good surface quality.
Intriguingly, certain cell types from Bok −/− mice were shown to die at a faster rate compared with WT controls when treated with Brefeldin A, a drug that induces Golgi/ER stress.
U.S. exports to Asia is greater than that to Europe or North America, and overall, U.S. trade with Asia is growing at a faster rate than with any other region in the world.
Cellular uptake study demonstrates that nanosized particles accumulate in the cells at a faster rate, and with a higher surface area.
To determine whether glaucoma patients with progressive optic disc change have subsequent visual field progression earlier and at a faster rate compared with those without disc change.
