Michael Sims, a Missouri inmate, appeals the district court’s 1 adverse grant of summary judgment in his 42 U.S.C. § 1983 action. Mr. Sims filed suit against Correctional Medical Services (CMS) and various medical personnel at three Missouri prisons, alleging defendants were deliberately indifferent to his medical needs. We conclude that although Mr. Sims may have established that he had a serious medical condition, he has not shown that the defendant doctors were deliberately indifferent to his medical needs. See Estelle v. Gamble, 429 U.S. 97, 107, 97 S.Ct. 285, 50 L.Ed.2d 251 (1976) (where medical personnel saw inmate 17 times in 3 months and treated back strain with bed rest, muscle relaxants, and pain relievers, their failure to x-ray inmate’s broken back or implement other diagnostic techniques or treatment was not deliberate indifference); Bel *668 lecourt v. United States, 994 F.2d 427, 431 (8th Cir. 1993) (fact that prison doctor misdiagnosed inmate’s condition, that method of physical examination and treatment may not have followed community standards, or that doctor disagreed with inmate’s suggested course of treatment did not amount to deliberate indifference).

Because Mr. Sims did not show deliberate indifference by medical personnel, we also conclude that CMS and the defendant health care administrator cannot be liable. See Boyd v. Knox, 47 F.3d 966, 968 (8th Cir. 1995) (supervisor can be liable under § 1983 when corrective inaction constitutes deliberate indifference); Sanders v. Sears, Roebuck & Co., 984 F.2d 972, 976 (8th Cir. 1993) (corporations acting under color of state law can be liable only if policy, custom, or action by those who represent official policy inflicted injury actionable under § 1983).

Accordingly, we affirm. See 8th Cir. R. 47B.