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PreprintCC BY-NCbioRxiv

DiffDose: Differentiable Programming for Personalized Dose-Regimen Optimal Control

  1. 1McGill University

Abstract

Dose-regimen design requires choosing how much drug to give, when to give it, and how treatment should vary across patients. Mechanistic pharmacokinetic-pharmacodynamic (PK/PD) and quantitative systems pharmacology (QSP) models can predict treatment responses, but optimizing dosing inputs depends on model-specific sensitivity derivations or derivative-free search. Here, we introduce DiffDose, a differentiable programming framework for mechanistic open-loop dose-regimen optimization that uses automatic differentiation (AD) to handle clinically interpretable dose amounts and administration times as differentiable controls. We evaluate our method in three settings: fixed-schedule dose-amplitude optimization in OptiDose PK/PD benchmarks; dose-timing optimization in a chemotherapy-induced neutropenia model with state-dependent delay; and individualized mosunetuzumab dosing in a QSP virtual population. Across these examples, AD produced gradients consistent with references, reduced model-specific derivative work, and shortened benchmark time to solution. DiffDose thereby turns mechanistic PK/PD and QSP models from tools that evaluate prespecified regimens into gradient-based engines for individualized regimen design.

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BibTeX
@misc{hajhashemi2026diffdose,
  title = {{DiffDose: Differentiable Programming for Personalized Dose-Regimen Optimal Control}},
  author = {S. Hajhashemi and A. Emad and M. Craig},
  howpublished = {bioRxiv},
  year = {2026},
  month = sep,
  doi = {10.64898/2026.09.07.749974},
  url = {https://www.biorxiv.org/content/10.64898/2026.09.07.749974v1},
  note = {CC BY-NC},
}
RIS
TY  - UNPB
TI  - DiffDose: Differentiable Programming for Personalized Dose-Regimen Optimal Control
AU  - S. Hajhashemi
AU  - A. Emad
AU  - M. Craig
PY  - 2026
DA  - 2026/09/07
PB  - bioRxiv
DO  - 10.64898/2026.09.07.749974
UR  - https://www.biorxiv.org/content/10.64898/2026.09.07.749974v1
AB  - Dose-regimen design requires choosing how much drug to give, when to give it, and how treatment should vary across patients. Mechanistic pharmacokinetic-pharmacodynamic (PK/PD) and quantitative systems pharmacology (QSP) models can predict treatment responses, but optimizing dosing inputs depends on model-specific sensitivity derivations or derivative-free search. Here, we introduce DiffDose, a differentiable programming framework for mechanistic open-loop dose-regimen optimization that uses automatic differentiation (AD) to handle clinically interpretable dose amounts and administration times as differentiable controls. We evaluate our method in three settings: fixed-schedule dose-amplitude optimization in OptiDose PK/PD benchmarks; dose-timing optimization in a chemotherapy-induced neutropenia model with state-dependent delay; and individualized mosunetuzumab dosing in a QSP virtual population. Across these examples, AD produced gradients consistent with references, reduced model-specific derivative work, and shortened benchmark time to solution. DiffDose thereby turns mechanistic PK/PD and QSP models from tools that evaluate prespecified regimens into gradient-based engines for individualized regimen design.
ER  -