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PreprintCC BYChemRxiv

Hyperfine dynamics as an internal control of reactive-oxygen-species output in a triplet-born flavin–superoxide radical pair

6 affiliations
  1. 1CONICET
  2. 2Facultad de Ciencias Exactas y Naturales (FCEN)
  3. 3Universidad de Belgrano
  4. 4Departamento de Física Médica
  5. 5Instituto Balseiro
  6. 6Johns Hopkins University Applied Physics Laboratory

Abstract

When reduced flavin is activated by molecular oxygen it forms a spin-correlated radical pair—a flavin semiquinone and superoxide (O₂•⁻)—born in the triplet manifold, because ground-state O₂ is a triplet. Its singlet/triplet recombination gates the branching of reactive oxygen species, and the pair is realised in the electron-transfer flavoprotein, whose output is field-dependent. Radical-pair theory almost always treats the hyperfine tensor as fixed and the field as the variable. We invert that: with the field held fixed, what upper bound does a time-dependent active-site hyperfine coupling place on the singlet yield? We pose a coefficient inverse problem with the principal-axis components Aₖ,ₐ(t) as the control and solve it for the genuine triplet-born flavin pair (two ¹⁴N at I = 1, three protons; dimension 288) at a 200 ns lifetime. A time-dependent coupling raises the yield to ΦS = 0.290 at 50 µT, against 0.241 for the best constant coupling in the same admissible set (1.20×) and 0.203 for the molecule’s own couplings (1.43×); the reduced models give larger gains, so they overestimate the effect. The optimum places 76% of its modulation in the first 0.5 µs and is smooth and numerically near-singular, unlike the bang–bang optimum of the external-field problem. These are coherent yields obtained over a control set far larger than conformational motion can access—an upper bound on an upper bound—with spin relaxation, the dipolar coupling and the superoxide g-anisotropy left unmodelled. The falsifiable quantity is the dynamic-over-static gain, not the absolute yield.

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BibTeX
@misc{castello2026hyperfine,
  title = {{Hyperfine dynamics as an internal control of reactive-oxygen-species output in a triplet-born flavin–superoxide radical pair}},
  author = {Pablo R. Castello and Pablo Jiménez and Carlos F. Martino},
  howpublished = {ChemRxiv},
  year = {2026},
  month = oct,
  doi = {10.26434/chemrxiv.15009742/v1},
  url = {https://chemrxiv.org/doi/full/10.26434/chemrxiv.15009742/v1},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - Hyperfine dynamics as an internal control of reactive-oxygen-species output in a triplet-born flavin–superoxide radical pair
AU  - Pablo R. Castello
AU  - Pablo Jiménez
AU  - Carlos F. Martino
PY  - 2026
DA  - 2026/10/01
PB  - ChemRxiv
DO  - 10.26434/chemrxiv.15009742/v1
UR  - https://chemrxiv.org/doi/full/10.26434/chemrxiv.15009742/v1
AB  - When reduced flavin is activated by molecular oxygen it forms a spin-correlated radical pair—a flavin semiquinone and superoxide (O₂•⁻)—born in the triplet manifold, because ground-state O₂ is a triplet. Its singlet/triplet recombination gates the branching of reactive oxygen species, and the pair is realised in the electron-transfer flavoprotein, whose output is field-dependent. Radical-pair theory almost always treats the hyperfine tensor as fixed and the field as the variable. We invert that: with the field held fixed, what upper bound does a time-dependent active-site hyperfine coupling place on the singlet yield? We pose a coefficient inverse problem with the principal-axis components Aₖ,ₐ(t) as the control and solve it for the genuine triplet-born flavin pair (two ¹⁴N at I = 1, three protons; dimension 288) at a 200 ns lifetime. A time-dependent coupling raises the yield to ΦS = 0.290 at 50 µT, against 0.241 for the best constant coupling in the same admissible set (1.20×) and 0.203 for the molecule’s own couplings (1.43×); the reduced models give larger gains, so they overestimate the effect. The optimum places 76% of its modulation in the first 0.5 µs and is smooth and numerically near-singular, unlike the bang–bang optimum of the external-field problem. These are coherent yields obtained over a control set far larger than conformational motion can access—an upper bound on an upper bound—with spin relaxation, the dipolar coupling and the superoxide g-anisotropy left unmodelled. The falsifiable quantity is the dynamic-over-static gain, not the absolute yield.
ER  -