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The phrase "a markedly increased rate" is correct and usable in written English.
It can be used to describe a significant rise in the frequency or speed of an event or process.
Example: "The study revealed a markedly increased rate of recovery among patients who received the new treatment."
Alternatives: "a significantly higher rate" or "a noticeably elevated rate".
Exact(7)
Overall economic sentiment encouragingly not only rose for a seventh successive month in October but improved at a markedly increased rate to be at a 13-month high".
Here, we showed that P. falciparum-infected erythrocytes exhibit a markedly increased rate of choline entry compared with control erythrocytes.
In addition many cancer cells, including many breast tumours, exhibit a markedly increased rate of fatty acid synthesis [ 20].
In this paper we report a markedly increased rate of joint infections in adults in Iceland from 1990 to 2002.
The intra-domiciliary contacts of leprosy patients, especially MB patients, likely have a markedly increased rate of infection and absolutely have an increased risk of developing MB leprosy compared to the general population; among anti-PGL-I positive contacts this elevated risk is even higher [ 27, 28].
Macroalbuminuria is associated with a markedly increased rate of fall in eGFR (5.7%/year vs. 1.2%/year with AER <30 mg/24 h, P < 0.0001) and risk of eGFR <60 ml/min/1.73 m (adjusted hazard ratio 15.3, P < 0.0001), whereas microalbuminuria had weaker and less consistent effects on eGFR.
Similar(53)
In overall mortality, a slightly increased rate of a common cancer such as lung cancer may lead to more deaths than a more markedly increased rate of a rare cancer such as liver angiosarcoma.
Tamoxifen-induced Ras expression markedly increased rate of pHi recovery from an acid load.
A second example is the report of markedly increased rates of asthma in primitive villagers from the New Guinea highlands.
However, the residual peripheral T cells themselves showed markedly increased rates of apoptosis upon activation in vitro or in vivo, indicating that Nur77 is an important regulator of mature T cell apoptosis.
The high risk categories (score≥2) as determined by either CHADS2 or CHA2DS2-VASc had markedly increased rates of thromboembolism compared with the low or intermediate risk categories.
More suggestions(12)
a markedly increased ratio
a markedly increased proportion
a markedly increased percentage
a sharply increased rate
a greatly increased rate
a dramatically increased rate
a considerably increased rate
a substantially increased rate
a significantly increased rate
a vastly increased rate
a notably increased rate
a drastically increased rate
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com