"with a slight increase" is correct and usable in written English.
You can use this phrase when referring to a small increase in something. For example, "Sales rose by five percent this month, with a slight increase from the previous month."
Cyber crime remained low, with a slight increase assessed at the third off-site.
Simulation results verify that the proposed PFCA algorithm can guarantee the user fairness with a slight increase of deployment cost.
The negative effects of co-pollutants can be palliated by combining surface modification with a slight increase in nZVI concentration.
In more affluent countries, breast-feeding actually was associated with a slight increase in the risk for eczema.
The latter feature has been accommodated with a slight increase in the clock speed of the graphics processing unit, but its effect is minimal.
The study, in The Journal of the American Medical Association, found that thinness was correlated with a slight increase in mortality, not that it caused such an increase.
3WJtriB fluorescence was retained within aptamer nanostructures upon annealing to either Waz or C10.36, with a slight increase of signal relative to free 3WJdB (Supplementary Fig. 4).
Over this time frame, the contrast was consistent, with a slight increase in brightness over the 11-day period (Supplementary Fig. 20).
In BM-DCs silenced for STIM1, OVA was degraded less, which correlated with a slight increase, yet not significant, in endosomal pH (Fig. 6d, e).
27 min: Great play from Lionel Messi, who splits the Brazil defence with a slight increase in tempo and a drop of the shoulder.
-- (C) Over the past three off-sites, petty crime has remained low, with a slight increase assessed at the third off-site.
