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The phrase "as a function of time following" is correct and usable in written English.
It is typically used in scientific or technical contexts to describe how a variable changes over time after a specific event or point in time.
Example: "The temperature of the substance was measured as a function of time following the reaction to determine the rate of heat release."
Alternatives: "over time after" or "in relation to time after".
Exact(29)
A case study of the visualisation of the extent of wetting of the packing as a function of time following start-up is presented.
The purpose of the modeling work was to map hydrocarbon concentration contours in the water column and on the seafloor as a function of time following dispersant application.
This article describes the results from Laser-Induced Fluorescence (LIF) measurements of the sputtered Mg particles from an MgO surface as a function of time following a discharge pulse in an ac plasma display panel (PDP) cell.
In addition to the packed column study, preliminary batch experiments were conducted to study the effects of PCE volumetric fraction in the range of 0.5 20% on density, viscosity, and IFT modification as a function of time following contact with aqueous isobutanol (∼ 10 vol.%).
That is, the total activity remains constant as a function of time following injection when Ki/V 0) = β.
The CFU declined as a function of time following the formula: Y(%CFU) = 6.9 × 10-0.044X (R2= 0.74).
Similar(31)
Relationship between ruminal pH and diet was modeled in function of time following feed distribution.
Many reports about the HPA axis during sepsis represent "snapshot" measurements of HPA axis function, rather than a methodical assessment as a function of time, and are mostly performed following ACTH stimulation tests [ 21].
Considering centre frequency of the filter bandwidth as a function of time, (15) can be rewritten in the following form: (20).
The change in volume is monitored in the manometer tube as a function of time and the data is treated under the following assumptions: 1.
Performance decrements (SDLP increment) as a function of time are seen after both drug and placebo treatment, following a similar pattern over distance/time traveled.
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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