Based on the available information, there is no evidence to suggest that Lipitor, a medication commonly used to treat high cholesterol, has a pain relief effect that is dose-dependent.

Lipitor, also known as atorvastatin, is a type of drug called a statin, which works by reducing the amount of cholesterol produced by the liver [1]. The drug's mechanism of action does not involve pain relief, and its primary use is to prevent cardiovascular disease by lowering cholesterol levels in the blood [2].

A study published in the American Journal of Cardiology found that atorvastatin did not have a significant effect on pain relief in patients with stable angina, a condition characterized by chest pain or discomfort [3]. The study concluded that atorvastatin should not be used as a first-line treatment for angina, and its primary use should be for lowering cholesterol levels.

In summary, based on the available information, there is no evidence to suggest that Lipitor's pain relief effect is dose-dependent. Lipitor is primarily used to lower cholesterol levels and prevent cardiovascular disease, and its mechanism of action does not involve pain relief.

Sources:

* <https://www.drugpatentwatch.com/p/tradename/LIPITOR>
* <https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2949584/>
* <https://www.ahajournals.org/doi/full/10.1161/CIRCRESAHA.118.312782>