The goal of this interventional study is to determine the strength of cobolimab and dostarlimab that is most tolerated in children and young adults who have advanced solid tumors. This study also aims: (a) to check if it is safe to use cobolimab and dostarlimab combination in children and young adults, (b) to see how to manage the side effects that may occur, and (c) the effect of this treatment in participants
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Part 1- Number of participants with Dose Limiting Toxicities (DLTs)
Timeframe: Up to 42 days
Part 1- Number of participants with treatment-emergent adverse events (TEAEs), serious adverse events (SAEs), immune-mediated adverse events (imAEs) and adverse events (AEs) leading to discontinuation occurring during the study
Timeframe: Up to approximately 46 months
Part 1- Serum concentration of Cobolimab
Timeframe: 1±0.5 hours (h) post-dose on Cycle 1 Day 1; 168±12 h post-dose Cycle 1Day 8; Pre-dose and 1±0.5 h post-dose on Cycle 2 Day 1; Cycle 4 Day 1 and Cycle 6 Day 1(Each cycle is of 21 days)
Part 1- Serum concentration of Dostarlimab
Timeframe: 1±0.5 h post start of cobolimab infusion on Cycle 1 Day 1; Pre-dose on Cycle 2 Day 1; Cycle 4 Day 1 and Cycle 6 Day 1(Each cycle is of 21 days)
Part 1- Recommended Phase 2 Dose (RP2D) of Cobolimab and Dostarlimab combination
Timeframe: Up to approximately 12 months
Part 2- Confirmed Objective Response Rate (ORR)
Timeframe: Up to approximately 46 months
Part 2- Number of participants with TEAEs, SAEs, imAEs, TEAEs leading to death and AEs leading to discontinuation
Timeframe: Up to approximately 46 months
Part 2-Number of participants with changes in laboratory parameters, vital signs and cardiac parameters
Timeframe: Up to approximately 46 months