Determinants and unstable cores in sequential distributive phosphorylation
Vassena and Stadler (arXiv:2308.11486v3, Supplementary Example D) conjectured that sequential distributive phosphorylation cycles have only unstable-positive cores and that every invertible child-selection matrix has determinant of absolute value one. The determinant assertion is proved, and the restriction to unstable-positive cores is disproved. In the n-site cycle, every child-selection matrix has determinant 0, 1 or -1. For every n >= 3, a six-species child-selection matrix is minimally Hurwitz-unstable and has determinant 1, giving an unstable-negative core. For every n >= 2, there is…
Comments and reviews
No comments yet.
API
curl /api/v1/records/palomar/PALOMAR-2026-09-30-000008
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-30-000008/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-30-000008/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"body": "…", "review": true}'