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The phrase "associated with a progressive decrease of" is correct and usable in written English.
It can be used in contexts where you want to describe a relationship between two variables, indicating that one is linked to a gradual reduction in the other.
Example: "The study found that increased physical activity is associated with a progressive decrease of body fat percentage over time."
Alternatives: "linked to a gradual decline in" or "connected to a steady reduction of".
Exact(4)
In this patient, behavioral recovery occurred in the space of two weeks and was associated with a progressive decrease of bistability and a concurrent recovery of causality and complexity.
LmnaE82K transgenic mice developed a progressive LV dilation and dysfunction associated with a progressive decrease of contractile function, evidenced by decreased LV percent fractional shortening (FS %) which exhibited a significance from 2 months of age compared with NTG mice (Table 1 and Table S1, P<0.01).
These results contrast with those observed in MODY1 (HNF4andand MODY3 (HNF1associatedated with a progressive decrease of insulin secretion and severe deterioration of hyperglycemia (7, 8).
Induction of diabetes with STZ was associated with a progressive decrease of EDR and an increase of the aortic and mesenteric media thickness already significant after 4 weeks and peaking at week 6.
Similar(56)
Furthermore, aging is associated with a progressive decrease in the amount of deep sleep, as indexed both by reductions in slow wave sleep (stages 3 and 4) and slow wave activity (SWA) in the electroencephalogram (EEG) within non-rapid eye movement (non-REM) sleep.
T2DM emerges when these change are associated with a progressive decrease in the secretory capacity of pancreatic beta cells (relative insulinopenia).
Combinations of one or two of the parameters were associated with a progressive decrease in OR values for prostate cancer risk.
The results suggest that increasing the dietary proportion of kale was associated with a progressive decrease in dry matter intake but with minimal effects on rumen pH, total volatile fatty acid concentration and individual volatile fatty acid proportions.
Infection by human immunodeficiency virus-1 (HIV-1) is associated with a progressive decrease in CD4 T-cell numbers and the consequent collapse of host immune defenses.
Combinations of one or two parameters were associated with a progressive decrease in the ORs for prostate cancer risk (OR=0.54 0.25) with correspondingly increased BCC risk (OR=1.60 2.54).
Infection by HIV-1 is associated with a progressive decrease in CD4 T-cell numbers and the consequent collapse and demise of host immune defenses.
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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