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2411.12123

Optimisation of neoadjuvant pembrolizumab therapy for locally advanced MSI-H/dMMR colorectal cancer using data-driven delay integro-differential equations

Georgio Hawi, Peter S. Kim, Peter P. Lee

correctmedium confidence
Category
math.DS
Journal tier
Specialist/Solid
Processed
Sep 28, 2025, 12:56 AM

Audit review

The paper defines and solves the constrained optimization with a TCR threshold at t = 126 days (Eq. 4.6), yielding Treatments 3, 4, and 5 as the multi-dose optima for thresholds 86.25%, 86%, and 85%, respectively, and Treatment 6 as the optimal one-shot at 84% (Table 12). The candidate solution mistakenly enforces the threshold on efficacy (not TCR), so it selects Treatment 5 for all thresholds in (a), which conflicts with the paper’s results. Parts (b) and (c) of the candidate solution match the paper’s conclusions about the one-shot regimen’s efficiency and comparability to FDA regimens. The paper’s occasional wording mix-up around “threshold efficacies” likely caused the confusion, but the analysis and table clearly use a TCR threshold.

Referee report (LaTeX)

\textbf{Recommendation:} minor revisions

\textbf{Journal Tier:} specialist/solid

\textbf{Justification:}

A careful, data-driven modeling and optimization study with clinically relevant endpoints. The numerical exploration and the resulting suggested regimens are plausible and well supported. The only substantive issue is a small wording inconsistency near Eq. (4.6) that could mislead readers about whether the threshold is imposed on TCR or efficacy; clarifying this would remove ambiguity without affecting the results.