DRUG: Conditioning Chemotherapy
BIOLOGICAL: Cord blood graft
BIOLOGICAL: Blinatumomab
OTHER: Laboratory Biomarker Analysis
BIOLOGICAL: Pembrolizumab
DRUG: Fludarabine
RADIATION: Total-Body Irradiation
PROCEDURE: Donor Lymphocyte Infusion
DRUG: Cyclophosphamide
DRUG: Tacrolimus
DRUG: Mycophenolate Mofetil
PROCEDURE: Hematopoietic Cell Transplantation
DRUG: Melphalan
PROCEDURE: Bone Marrow Aspiration and Biopsy
PROCEDURE: Diagnostic Imaging
PROCEDURE: Biospecimen Collection
DRUG: CM4620
BIOLOGICAL: Inotuzumab Ozogamicin
BIOLOGICAL: Peripheral Blood Stem Cell Transplant
DRUG: Allopurinol 300 MG
DRUG: Fludarabine
DRUG: Cyclophosphamide
BIOLOGICAL: Bone Marrow Cell Transplant
RADIATION: Total Body Irradiation
DRUG: Sirolimus Pill
DRUG: Mycophenolate Mofetil
BIOLOGICAL: UCART22
BIOLOGICAL: CLLS52
DRUG: Decitabine
DRUG: Dexamethasone
DRUG: Palbociclib
DRUG: Sorafenib
GENETIC: KUR-502
RADIATION: Total-Body Irradiation
DRUG: Thiotepa
DRUG: Fludarabine
DRUG: Cyclophosphamide
DRUG: Busulfan
PROCEDURE: Allogeneic Bone Marrow Transplantation
DRUG: Tacrolimus
DRUG: Methotrexate
PROCEDURE: Naive T Cell-Depleted Hematopoietic Stem Cell Transplantation
PROCEDURE: Echocardiography
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspiration
PROCEDURE: Bone Marrow Biopsy
BIOLOGICAL: iC9-CAR19 cells
DRUG: Rimiducid
DRUG: Cyclophosphamide
DRUG: Fludarabine
DRUG: Venetoclax
DRUG: Dexamethasone
DRUG: Inotuzumab Ozogamicin
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspiration
PROCEDURE: Bone Marrow Biopsy
PROCEDURE: Bone Scan
DRUG: Calaspargase Pegol
PROCEDURE: Computed Tomography
DRUG: Cyclophosphamide
DRUG: Cytarabine
DRUG: Daunorubicin Hydrochloride
DRUG: Dexamethasone
DRUG: Doxorubicin Hydrochloride
BIOLOGICAL: Inotuzumab Ozogamicin
DRUG: Leucovorin Calcium
PROCEDURE: Magnetic Resonance Imaging
DRUG: Mercaptopurine
DRUG: Methotrexate
DRUG: Pegaspargase
PROCEDURE: Positron Emission Tomography
DRUG: Prednisolone
OTHER: Questionnaire Administration
RADIATION: Radiation Therapy
RADIATION: Radiation Therapy
DRUG: Thioguanine
DRUG: Vincristine Sulfate
DRUG: SAR443579
DRUG: Tecartus
DRUG: voruciclib monotherapy
DRUG: voruciclib and venetoclax
BIOLOGICAL: Fully human anti CD19 CAR-T Cell Dose
DRUG: Fludarabine
DRUG: Cyclophosphamide
BIOLOGICAL: Blinatumomab
DRUG: Ibrutinib
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspiration
DRUG: Calaspargase Pegol
DRUG: Cytarabine
PROCEDURE: Echocardiography
DRUG: Fludarabine Phosphate
DRUG: Hydrocortisone Sodium Succinate
PROCEDURE: Lumbar Puncture
DRUG: Methotrexate
PROCEDURE: Multigated Acquisition Scan
DRUG: Prednisolone
DRUG: Prednisone
DRUG: Revumenib
DRUG: Vincristine Sulfate
DRUG: Calaspargase pegol (S95015)
DRUG: Asparaginase Erwinia chrysanthemi
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspiration and Biopsy
DRUG: Calaspargase Pegol
DRUG: Cyclophosphamide
DRUG: Cytarabine
PROCEDURE: Diagnostic Imaging
BIOLOGICAL: Inotuzumab Ozogamicin
DRUG: Leucovorin Calcium
PROCEDURE: Lumbar Puncture
DRUG: Methotrexate
DRUG: Pegaspargase
DRUG: Vincristine
DIAGNOSTIC_TEST: NGS-MRD
DRUG: Myeloablative allogeneic HCT with a non-TBI conditioning regimen
BIOLOGICAL: 19-28z/IL-18 CAR T cells
DRUG: AVM0703
GENETIC: CD7.CAR/28zeta CAR T cells
DRUG: Dexamethasone
DRUG: Mitoxantrone
DRUG: PEG asparaginase
DRUG: Bortezomib
DRUG: Vorinostat
DRUG: Mercaptopurine
DRUG: Methotrexate
DRUG: Blinatumomab
DRUG: Ziftomenib
BIOLOGICAL: CD19/CD22 CAR T-Cells
DRUG: Fludarabine
DRUG: Cyclophosphamide
DRUG: Cyclophosphamide
DRUG: Cytarabine
DRUG: Daunorubicin Hydrochloride
DRUG: Mercaptopurine
DRUG: Methotrexate
DRUG: Pegaspargase
DRUG: Prednisone
DRUG: Venetoclax
DRUG: Vincristine Sulfate
DRUG: Busulfan
DRUG: Busulfan
DRUG: Fludarabine
RADIATION: Total-body irradiation
DRUG: Cyclophosphamide
DRUG: Melphalan
PROCEDURE: PBSC Hematopoietic Stem Cell Transplantation (HSCT)
PROCEDURE: Bone Marrow Hematopoietic Stem Cell Transplantation
DRUG: Post-transplant Cyclophosphamide
DRUG: Mesna
DRUG: Tacrolimus
DRUG: Mycophenolate Mofetil
OTHER: Patient-Reported Outcomes
BIOLOGICAL: NKX019
BIOLOGICAL: Anti-CD19/CD20/CD22 CAR T-Cells
DRUG: Cyclophosphamide
DRUG: Fludarabine Phosphate
BIOLOGICAL: Anti-Thymocyte Globulin
DRUG: Cyclophosphamide
BIOLOGICAL: Cytokine-treated Veto Cells
DRUG: Fludarabine
PROCEDURE: Peripheral Blood Stem Cell Transplantation
RADIATION: Total-Body Irradiation
DRUG: MRX-2843
DRUG: Blinatumomab
DRUG: Asciminib
DRUG: Chimeric Antigen Receptor (CAR) T-Cell Product (Autologous)
DEVICE: Alpha/Beta T-cell and B-cell depleted HCT
DRUG: Blinatumomab
BIOLOGICAL: Tisagenlecleucel
PROCEDURE: Allogeneic Hematopoietic Stem Cell Transplantation
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspiration
PROCEDURE: Bone Marrow Biopsy
BIOLOGICAL: CD19CAR-CD28-CD3zeta-EGFRt-expressing Tn/mem-enriched T-lymphocytes
BIOLOGICAL: Cetuximab
PROCEDURE: Computed Tomography
DRUG: Cyclophosphamide
PROCEDURE: Echocardiography
DRUG: Fludarabine
PROCEDURE: Leukapheresis
PROCEDURE: Magnetic Resonance Imaging
PROCEDURE: Multigated Acquisition Scan
PROCEDURE: Positron Emission Tomography
PROCEDURE: Allogeneic Hematopoietic Stem Cell Transplantation
DRUG: Cyclophosphamide
DRUG: Cyclosporine
BIOLOGICAL: Filgrastim
DRUG: Fludarabine
DRUG: Mycophenolate Mofetil
DRUG: Mycophenolate Sodium
RADIATION: Total-Body Irradiation
DRUG: Treosulfan
PROCEDURE: Bone Marrow Aspiration
PROCEDURE: Bone Marrow Biopsy
PROCEDURE: Echocardiography
PROCEDURE: Biospecimen Collection
PROCEDURE: Computed Tomography
PROCEDURE: Positron Emission Tomography
DRUG: Daratumumab / Hyaluronidase Injection
DRUG: Daratumumab / Hyaluronidase Injection
DRUG: Daratumumab / Hyaluronidase Injection
DRUG: Daratumumab / Hyaluronidase Injection
GENETIC: Dose Level 1, VNX-101
GENETIC: Dose Level 2, VNX-101
GENETIC: Dose Level 3, VNX-101
GENETIC: Dose Level 4, VNX-101
DRUG: Cyclophosphamide
DRUG: Fludarabine
DRUG: Fludarabine Phosphate
BIOLOGICAL: Granulocyte Colony-Stimulating Factor
PROCEDURE: Hematopoietic Cell Transplantation
PROCEDURE: Intensity-Modulated Radiation Therapy
DRUG: Mycophenolate Mofetil
DRUG: Tacrolimus
BIOLOGICAL: Zilovertamab vedotin
BIOLOGICAL: Allogeneic Natural Killer Cell Line NK-92
BIOLOGICAL: Anti-Thymocyte Globulin
DRUG: Busulfan
DRUG: Clofarabine
DRUG: Cyclophosphamide
DRUG: Fludarabine Phosphate
OTHER: Laboratory Biomarker Analysis
DRUG: Melphalan
BIOLOGICAL: Rituximab
RADIATION: Total-Body Irradiation
PROCEDURE: Umbilical Cord Blood Transplantation
BIOLOGICAL: Blinatumomab
DRUG: Cyclophosphamide
DRUG: Cytarabine
DRUG: Dexamethasone
DRUG: Doxorubicin Hydrochloride
BIOLOGICAL: Inotuzumab Ozogamicin
OTHER: Laboratory Biomarker Analysis
DRUG: Mercaptopurine
DRUG: Methotrexate
BIOLOGICAL: Ofatumumab
DRUG: Prednisone
BIOLOGICAL: Rituximab
DRUG: Vincristine Sulfate
DRUG: Blinatumomab
BIOLOGICAL: BEAM-201
DRUG: Venetoclax
DRUG: Azacitidine
DRUG: Cytarabine
DRUG: Methotrexate
DRUG: Hydrocortisone
DRUG: Leucovorin
DRUG: Dexamethasone
DRUG: Vincristine
DRUG: Doxorubicin
DRUG: Dexrazoxane
DRUG: Calaspargase Pegol
DRUG: Erwinia asparaginase
DRUG: Fludarabine
DRUG: Cyclophosphamide
BIOLOGICAL: PRGN-3007
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspiration
DRUG: Busulfan
DRUG: Cyclophosphamide
PROCEDURE: Echocardiography
DRUG: Fludarabine
PROCEDURE: Haploidentical Hematopoietic Cell Transplantation
BIOLOGICAL: Lapine T-Lymphocyte Immune Globulin
PROCEDURE: Lumbar Puncture
PROCEDURE: Matched Unrelated Donor Hematopoietic Cell Transplantation
DRUG: Melphalan
DRUG: Methotrexate
PROCEDURE: Multigated Acquisition Scan
DRUG: Mycophenolate Mofetil
PROCEDURE: Myeloablative Conditioning
OTHER: Quality-of-Life Assessment
OTHER: Questionnaire Administration
BIOLOGICAL: Rituximab
PROCEDURE: T-Cell Depletion Therapy
DRUG: Tacrolimus
DRUG: Thiotepa
RADIATION: Total-Body Irradiation
BIOLOGICAL: ADCT-602
BIOLOGICAL: CD19/CD22-CAR-transduced T cells
DRUG: cyclophosphamide
DRUG: fludarabine
DRUG: Busulfan
DRUG: Fludarabine
PROCEDURE: PBSC Hematopoietic Stem Cell Transplantation (HSCT)
DRUG: Post-Transplant Cyclophosphamide
DRUG: Mesna
DRUG: Tacrolimus
DRUG: Mycophenolate Mofetil
OTHER: Patient Reported Outcomes
DRUG: Melphalan
RADIATION: Total-body irradiation
DRUG: Cyclophosphamide
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspirate
DRUG: Cyclophosphamide
DRUG: Cyclosporine
PROCEDURE: Diagnostic Imaging
PROCEDURE: Echocardiography
DRUG: Fludarabine Phosphate
PROCEDURE: Multigated Acquisition Scan
DRUG: Mycophenolate Mofetil
OTHER: Survey Administration
DRUG: Thiotepa
RADIATION: Total-Body Irradiation
PROCEDURE: Umbilical Cord Blood Transplantation
PROCEDURE: TCRαβ+/CD19+ depleted Haploidentical HSCT
DRUG: Zoledronate
BIOLOGICAL: BAFFR-CAR T cells
DRUG: DSP-5336
BIOLOGICAL: Cohort 1
BIOLOGICAL: Cohorts 2
BIOLOGICAL: Cohort 3
BIOLOGICAL: OrcaGraft (Orca-Q)
DRUG: Ruxolitinib
DRUG: Cyclophosphamide
DRUG: Cytarabine
DRUG: Mercaptopurine
DRUG: Vincristine
DRUG: Pegaspargase
DRUG: Rituximab
DRUG: Methotrexate (Intrathecal Administration)
DRUG: Methotrexate (Intravenous Administration)
DRUG: Dexamethasone
DRUG: Doxorubicin
DRUG: Thioguanine
DRUG: Methotrexate Oral Product
DRUG: Dasatinib
DRUG: Methotrexate
DRUG: Prednisone
BIOLOGICAL: Rituximab
DRUG: Venetoclax
BIOLOGICAL: Blinatumomab
PROCEDURE: Bone Marrow Aspiration and Biopsy
PROCEDURE: Lumbar Puncture
PROCEDURE: Biospecimen Collection
DEVICE: CliniMACS
DRUG: LP-118
DRUG: Ponatinib
DRUG: Vincristine
DRUG: Dexamethasone
DRUG: Methotrexate
BIOLOGICAL: Blinatumomab
BIOLOGICAL: Inotuzumab Ozogamicin
DRUG: Tagraxofusp
DRUG: Fludarabine
DRUG: Cytarabine
DRUG: Dexamethasone
DRUG: Vincristine
DRUG: Azacitidine
DRUG: Methotrexate
DRUG: Cytarabine IT
DRUG: Hydrocortisone
DRUG: Daratumumab
DRUG: Cyclophosphamide
DRUG: Doxorubicin
DRUG: Etoposide
DRUG: Prednisone
BIOLOGICAL: Rituximab
BIOLOGICAL: Tafasitamab
DRUG: Vincristine
PROCEDURE: Bone Marrow Aspiration
PROCEDURE: Bone Marrow Biopsy
PROCEDURE: Computed Tomography
PROCEDURE: Lumbar Puncture
PROCEDURE: Biospecimen Collection
BIOLOGICAL: Autologous, humanized anti-CD22 CAR T cell therapy (CART22-65s)
BIOLOGICAL: Autologous, humanized anti-CD19 CAR T cell therapy (huCART19)
DRUG: TURALIO(R)
DRUG: Etoposide
DRUG: BCNU
DRUG: AraC
DRUG: Melphalan
PROCEDURE: Peripheral blood stem cell transplantation
BIOLOGICAL: G-CSF
DRUG: Cyclophosphamide
RADIATION: Total Body Irradiation
BIOLOGICAL: Azer-cel
DRUG: Fludarabine
DRUG: Cyclophosphamide
DRUG: IL-2
DRUG: Bendamustine
BIOLOGICAL: Murine CART19
DRUG: VIP943 (QW)
DRUG: VIP943 (BIW)
DRUG: Inotuzumab ozogamicin
DRUG: Methotrexate
DRUG: Hydrocortisone
DRUG: Cytarabine
DRUG: Diphenhydramine
DRUG: Acetaminophen
DRUG: Methylprednisolone
BIOLOGICAL: Orca-Q
DRUG: Fludarabine
OTHER: Laboratory Biomarker Analysis
DRUG: Melphalan
RADIATION: Total Marrow Irradiation
DEVICE: Miltenyi CliniMACS Prodigy ® system
GENETIC: Autologous CD5.CAR/28zeta CAR T cells
GENETIC: Allogeneic CD5.CAR/28zeta CAR T cells
DRUG: Siltuximab
DRUG: revumenib
DRUG: cobicistat
DRUG: Fludarabine
DRUG: Busulfan
DRUG: Melphalan
DRUG: Rituximab
DRUG: Levetiracetam
DRUG: Blinatumomab
DRUG: Low-intensity chemotherapy regimen
DRUG: SOC chemotherapy regimen
PROCEDURE: Haploidentical Bone Marrow/Kidney
DRUG: Dasatinib
DRUG: Akt/ERK Inhibitor ONC201
PROCEDURE: Allogeneic Hematopoietic Stem Cell Transplantation
BIOLOGICAL: Basiliximab
DRUG: Fludarabine Phosphate
DRUG: Indium In 111-DOTA-Basiliximab
DRUG: Melphalan
BIOLOGICAL: Palifermin
RADIATION: Total Lymphoid Irradiation
RADIATION: Total Marrow Irradiation
BIOLOGICAL: Yttrium Y 90 Basiliximab
DRUG: Relatlimab
DRUG: Nivolumab
DRUG: Azacitidine
DRUG: Venetoclax
DRUG: Inotuzumab ozogamicin
DRUG: Dasatinib
DRUG: Dexamethasone
DRUG: Methotrexate
DRUG: Vincristine
DRUG: Ponatinib
DRUG: Methotrexate for Injection
PROCEDURE: Allogenic Stem Cell Transplantation
DRUG: LP-118
BIOLOGICAL: CD19x22 CAR T
DRUG: BMF-500
DRUG: CD19CAR-CD3Zeta-4-1BB-Expressing Autologous T-Lymphocyte Cells
DRUG: Blinatumomab
DRUG: Inotuzumab Ozogamicin
DRUG: Hyper-CVAD
DRUG: Mini-hyper-CVD
DRUG: Venetoclax
DRUG: Standard Chemotherapy
BIOLOGICAL: CD19-CAR(Mem) T-cells
DRUG: Cyclophosphamide
DRUG: Fludarabine
DRUG: Mesna
DEVICE: CliniMACS
PROCEDURE: Leukapheresis
BIOLOGICAL: Blinatumomab
DRUG: Cytarabine
DRUG: Methotrexate
DRUG: Ponatinib
BIOLOGICAL: autologous hematopoietic stem cells added to planned CAR T
DRUG: 1A46 Injection
DRUG: AZD0486
DRUG: ABL001
DRUG: Dasatinib
DRUG: Prednisone
DRUG: Blinatumomab
DRUG: Cyclophosphamide
DRUG: Vincristine
DRUG: Blinatumomab
DRUG: Methotrexate
DRUG: Cytarabine
DRUG: Mercaptopurine
DRUG: Prednisone
DRUG: Pegfilgrastim
DRUG: Inotuzumab ozogamicin
DRUG: Rituximab
DRUG: Dexamethasone
BIOLOGICAL: Autologous Humanized CD19-Directed Chimeric Antigen Receptor T-Cells (huCART19)
DRUG: Fludarabine
DRUG: Cyclophosphamide
RADIATION: Total Body Irradiation
DRUG: Cyclosporine A
DRUG: Mycophenylate mofetil
BIOLOGICAL: Umbilical cord blood
BIOLOGICAL: AUTO1
DRUG: 131-I Apamistamab
BIOLOGICAL: CAR T-cell
DRUG: BMF-219
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspiration
PROCEDURE: Bone Marrow Biopsy
PROCEDURE: Dual-Energy Computed Tomography
PROCEDURE: Echocardiography
DRUG: Fludarabine
PROCEDURE: Magnetic Resonance Imaging
DRUG: Melphalan
PROCEDURE: Multigated Acquisition Scan
BIOLOGICAL: Partially Engineered T-regulatory Cell Donor Graft TRGFT-201
DRUG: Tacrolimus
DRUG: Thiotepa
RADIATION: Total Marrow and Lymphoid Irradiation
DRUG: Inotuzumab Ozogamicin
DRUG: AKR1C3-activated Prodrug OBI-3424
DRUG: EAGD T-cell infusion (Phase I)
DRUG: EAGD T-cell infusion (Expansion)
DEVICE: CliniMACS Cell Processing System for TCRαβ + T Cell and CD45RA Depleted Peripheral Stem Cell Addback
RADIATION: Total-Body Irradiation
DRUG: Thiotepa
DRUG: Fludarabine
DRUG: Tacrolimus
BIOLOGICAL: Allogeneic CD34+-enriched and CD45RA-depleted PBSCs
DRUG: Methotrexate
DRUG: Cyclophosphamide
BIOLOGICAL: Peripheral Blood Stem Cell
DRUG: Cyclosporine
DRUG: Sirolimus
DRUG: Busulfan
PROCEDURE: Bone Marrow Aspiration and Biopsy
PROCEDURE: Echocardiography
PROCEDURE: Multigated Acquisition Scan
PROCEDURE: Biospecimen Collection
OTHER: Ossium HPC Marrow, Bone Marrow Transplant
OTHER: Pre-transplant conditioning - Myeloablative (MAC)
OTHER: Pre-transplant conditioning - Reduced Intensity (RIC)
OTHER: Post-transplant treatment
BIOLOGICAL: PIT565
DRUG: SLS009
DRUG: venetoclax
DRUG: azacitidine
PROCEDURE: Allogeneic Bone Marrow Transplantation
DRUG: Bendamustine
BIOLOGICAL: Filgrastim-sndz
DRUG: Fludarabine
BIOLOGICAL: Inotuzumab Ozogamicin
DRUG: Melphalan
PROCEDURE: Peripheral Blood Stem Cell Transplantation
BIOLOGICAL: Rituximab
DRUG: Tacrolimus
DRUG: Cyclophosphamide
DRUG: Vincristine
DRUG: Dexamethasone
BIOLOGICAL: Inotuzumab Ozogamicin
DRUG: Methotrexate
DRUG: Cytarabine
DRUG: Methylprednisolone
BIOLOGICAL: Rituximab
DRUG: Prednisone
DRUG: Mercaptopurine
DRUG: Doxorubicin
BIOLOGICAL: Rapcabtagene autoleucel single agent
DRUG: Ibrutinib
BIOLOGICAL: Chimeric Antigen Receptor T-Cell Therapy
DRUG: Cyclophosphamide
DRUG: Fludarabine Phosphate
OTHER: Laboratory Biomarker Analysis
OTHER: Questionnaire Administration
DRUG: Bleximenib
DRUG: CD22CART infusion
DRUG: Tisagenlecleucel
DRUG: Palbociclib
DRUG: Dexamethasone
DRUG: Bortezomib
DRUG: Doxorubicin
DRUG: etoposide
DRUG: cyclophosphamide
RADIATION: total marrow irradiation
PROCEDURE: allogeneic hematopoietic stem cell transplantation
PROCEDURE: allogeneic bone marrow transplantation
DRUG: Fludarabine Phosphate
DRUG: Melphalan
RADIATION: Intensity-Modulated Radiation Therapy
RADIATION: Total Marrow Irradiation
PROCEDURE: Allogeneic Hematopoietic Stem Cell Transplantation
PROCEDURE: Peripheral Blood Stem Cell Transplantation
PROCEDURE: Allogeneic Bone Marrow Transplantation
DRUG: Tacrolimus
DRUG: Mycophenolate Mofetil
OTHER: Laboratory Biomarker Analysis
PROCEDURE: Allogeneic Hematopoietic Stem Cell Transplantation
PROCEDURE: Biospecimen Collection
DRUG: Granulocyte Colony-Stimulating Factor
DRUG: Hematopoietic Cell Transplantation Conditioning Regimen
BIOLOGICAL: Multi-peptide CMV-Modified Vaccinia Ankara Vaccine
PROCEDURE: Pheresis
DRUG: Placebo Administration
DRUG: Stem Cell Mobilization Therapy
DRUG: Hyper CVAD Protocol (Standard of Care Multi-Agent Chemotherapy)
DRUG: Calaspargase Pegol
DRUG: Rituximab
DRUG: Fludarabine
DRUG: Cyclophosphamide
DRUG: CD70-CAR T cell infusion (Autologous)
DRUG: Mesna
BIOLOGICAL: huCART19-IL18
DRUG: PRT2527
DRUG: Zanubrutinib
DRUG: Venetoclax
DRUG: Azacitidine
DRUG: Venetoclax
BIOLOGICAL: Blinatumomab
DRUG: Cyclophosphamide
DRUG: Cytarabine
DRUG: Dexamethasone
BIOLOGICAL: Inotuzumab Ozogamicin
OTHER: Laboratory Biomarker Analysis
DRUG: Mercaptopurine
DRUG: Methotrexate
DRUG: Prednisone
BIOLOGICAL: Rituximab
DRUG: Vincristine
DRUG: Duvelisib
BIOLOGICAL: Dilanubicel
DRUG: Cyclophosphamide
DRUG: Fludarabine
DRUG: Thiotepa
RADIATION: Total-Body Irradiation
PROCEDURE: Umbilical Cord Blood Transplantation
OTHER: Laboratory Biomarker Analysis
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspirate
PROCEDURE: Bone Marrow Biopsy
PROCEDURE: Multigated Acquisition Scan
PROCEDURE: Electrocardiography
PROCEDURE: Computed Tomography
DRUG: Ascentage Pharma HQP1351 bioavailable inhibitor
DRUG: Blinatumomab
BIOLOGICAL: Anti-CD19 CAR-T cells
DRUG: Darzalex Faspro (Daratumumab and hyaluronidase-fihj)
DEVICE: JH-DSA Semi-Quant Screen and Response Score
DRUG: Cyclophosphamide
DRUG: Cytarabine
DRUG: Dexamethasone
DRUG: Doxorubicin Hydrochloride
DRUG: Mercaptopurine
DRUG: Methotrexate
DRUG: Nelarabine
DRUG: Pegaspargase
DRUG: Prednisone
DRUG: Venetoclax
DRUG: Vincristine Sulfate
DRUG: Vactosertib
DRUG: Fludarabine Phosphate
DRUG: Cyclophosphamide
DRUG: IL-2
DRUG: Natural Killer Cells
DRUG: Obinutuzumab
DRUG: Liposomal ARA-C
DRUG: Ifosfamide
DRUG: Carboplatin
DRUG: Etoposide
DRUG: Bortezomib
DRUG: Clofarabine
DRUG: Cyclophosphamide
DRUG: Dexamethasone
DRUG: Etoposide
BIOLOGICAL: Ofatumumab
BIOLOGICAL: Pegfilgrastim
BIOLOGICAL: Rituximab
DRUG: Vincristine Sulfate Liposome
DRUG: CD19 Directed CAR T Cell
PROCEDURE: Biospecimen Collection
BIOLOGICAL: Blinatumomab
PROCEDURE: Bone Marrow Aspiration and Biopsy
DRUG: Cyclophosphamide
DRUG: Cytarabine
DRUG: Dasatinib
DRUG: Dexamethasone
DRUG: Doxorubicin Hydrochloride
PROCEDURE: Echocardiography
PROCEDURE: Electrocardiography
PROCEDURE: Lumbar Puncture
DRUG: Mesna
DRUG: Methotrexate
PROCEDURE: Multigated Acquisition Scan
DRUG: Ponatinib Hydrochloride
DRUG: Prednisone
DRUG: Vincristine Sulfate
GENETIC: Dose Escalation Phase:CD19.CAR/28 and CD19.CAR/28137 T cells
GENETIC: Expansion Phase: CD19.CAR/28 and CD19.CAR/28137 T cells
DRUG: Autologous Anti-CD19 CAR-expressing T Lymphocytes
PROCEDURE: Biospecimen Collection
PROCEDURE: Bone Marrow Aspiration and Biopsy
DRUG: Cyclophosphamide
DRUG: Fludarabine
PROCEDURE: Leukapheresis
OTHER: Questionnaire Administration
DRUG: Allogeneic donor-derived T-cells transduced with bivalent lentiviral vector (CD19/CD22-BBz) chimeric antigen receptor (CAR)
DRUG: Treg CD34+HSPC (Orca-T)
DEVICE: Magnetic-Activated Cell Sorter (CliniMACS, Miltenyi)
BIOLOGICAL: HSCT with TBI Regimen
BIOLOGICAL: HSCT with Non-TBI Regimen
DRUG: Blinatumomab
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