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"description based on" is correct and can be used in written English.
It is used when describing something using information or characteristics that are based on a particular source or factor. Example: The airline's pricing strategy is often a description based on factors such as demand, competition, and seasonality.
Exact(60)
Optimal daily energy profiles for each storage unit are calculated using a Fourier series description based on one day ahead energy forecasts.
When fully developed the model will complement the current energy-based methods of predicting structure by providing an equally powerful description based on the traditional chemical concepts of atoms and bonds.
A detailed system description based on [29] can be found in [30].
Data description based on ontology is necessary to facilitate classification and contextualization.
The description based on these features is used in the recognition step as neural network inputs.
Furthermore, we provide an illustrative problem description based on a realistic image processing example.
A qualitative description based on the concept of configurational diffusion was performed.
It is a historical description based on experienced memories and historical references.
This protocol has been synthesized from a formal description based on graph grammars.
An effective medium description based on S-parameters is introduced to describe the acoustic metamaterial.
This atomistic approach is compared with a description based on linear elasticity theory of interface dislocations.
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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