What is the test for a prison official to be held liable under the Eighth Amendment for failing to provide adequate medical care for an inmate?

In order to establish a violation of this duty, a prisoner must show that he was subjected to an objectively serious deprivation that amounts to a denial of "the minimal civilized measure of life's necessities." Farmer v. Brennan, 511 U.S. 825, 834, 114 S.Ct. 1970, 128 L.Ed.2d 811

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(1994) (quoting Rhodes v. Chapman, 452 U.S. 337, 346, 101 S.Ct. 2392, 69 L.Ed.2d 59 (1981)). A prisoner must also show that prison officials acted with sufficiently culpable states of mind in failing to satisfy their duties. Farmer, 511 U.S. at 834. Prison officials must have acted with deliberate indifference. Id. A prison official is liable under the Eighth Amendment only if he "knows of and disregards an excessive risk to inmate health or safety; the official must both be aware of facts from which the inference could be drawn that a substantial risk of serious harm exists, and he must also draw the inference." Id. at 837.