Viral Specific T-cells for Treatment of Viral Infections After Solid Organ Transplant

Inclusion Criteria: * Blood adenovirus PCR ≥1,000 * Blood CMV PCR ≥ 500 * Blood EBV PCR ≥ 1,000 * Plasma BKV PCR \>1,000 * Plasma JC Virus PCR \> 1,000 * Evidence of invasive adenovirus infection. Adenovirus infection will be defined as the presence of adenoviral positivity as detected by PCR or culture from one site such as stool or blood or urine or nasopharynx. Adenovirus disease will be defined as the presence of adenoviral positivity as detected by culture or PCR from more than 2 sites such as stool or blood or urine or nasopharynx. * Evidence of invasive CMV infection, e.g. pneumonitis, retinitis, colitis. * Evidence of EBV-associated lymphoproliferation (EBV-LPD) defined as proven EBV-LPD by biopsy or probable EBV-LPD defined as an elevated EBV DNA level in the blood associated with clinical symptoms (adenopathy or fever or masses on imaging) but without biopsy confirmation. * Evidence of symptomatic BK virus infection, which may include symptomatic hemorrhagic cystitis, BK viruria or BK nephropathy * Evidence of PML or other CNS infection due to JC virus * Clinical status must allow tapering of steroids to \< 0.5mg/kg prednisone or other steroid equivalent, or a clinically acceptable steroid dose at the discretion of the PI * Age \> 1 day * Must be able to receive VST infusion in Cincinnati Exclusion Criteria: * Uncontrolled bacterial or fungal infection