Haplo-identical Viral-Specific T-cells for Treatment of Cytomegalovirus and Adenovirus Infections After Hematopoietic Cell Transplantation

The investigators want to learn if CMV- and ADV-specific T-cells (cells that fight infections) isolated (selected) from a donor using an automated medical device can be a safe treatment for treating patients with CMV, and ADV after transplant.This study will test the effects and safety of giving VSTs produced here at St. Jude in treating the participant's infection. Primary objective To determine the efficacy of VSTs to achieve a ≥1 log10 reduction in CMV and/or ADV viral load in the peripheral blood 4 weeks after VST infusion. When the initial viral load is \<1 log10 above the threshold of detection, the objective is to achieve a reduction to below the threshold of detection. Secondary objectives * Determine the safety of VSTs when used to treat CMV and/or ADV viremia post-HCT. * Determine the proportion of patients who achieve a negative viral load at 3 months post-infusion. * Assess the persistence of response for 6 months post-infusion.

The study will have 2 cohorts. Cohort A will include haploidentical donor who is identical to the stem cell donor. Cohort B will include haploidentical donor who is different from the stem cell donor. Seropositive donors will be screened for the presence of CMV- and ADV-specific T-cells using a functional flow cytometry assay. The donor will be considered suitable if the percentage of CD3+/IFN-γ+ cells is greater than 0.01% of CD3+ T-cells. Donor leukocytes will be collected using the Spectra Optia system. CMV- and ADV-specific T-cells will be isolated from donor leukocytes by 'IFN-γ-capture' technology using the Prodigy device over a 24-36 hour period and infused.