{"artifact_id":"L1-903","layer":"L1","title":"Cancer as Evolution — Adaptive Therapy","domain":"Oncology","sub_domain":"Evolutionary Dynamics","physics_fingerprint":{"title":"Cancer as Evolution — Adaptive Therapy","domain":"Oncology","chapter":"Ch.13 Life Sciences & Aging","sub_domain":"Evolutionary Dynamics","forward_model":"Competing sensitive/resistant clones under drug schedule u(t): dx_s/dt = r_s x_s(1−N/K) − d·u·x_s, dx_r/dt = r_r x_r(1−N/K); control to delay competitive release.","challenge_blurb":"Treat the tumor as an evolving population — schedule therapy to keep it controllable forever instead of selecting for resistance.","challenge_group":"life","challenge_short":"Curing Cancer","grand_challenge":true,"governing_equation":"dx_s/dt = r_s x_s(1−N/K) − d·u(t)·x_s;  dx_r/dt = r_r x_r(1−N/K)"},"observable_profile":{"unit":"months time-to-progression","floor":12.0,"metric":"TTP_months","sota_reference":"Adaptive therapy (Gatenby/Zhang prostate-cancer trial)"},"size_tiers":{"clone_count":[2,10,100],"horizon_months":[12,36,120]},"hardness_fn":{"type":"grand_challenge","metric":"TTP_months","baseline":"Maximum-tolerated-dose (continuous)","delta_tier":50},"initiator_dataset":[{"name":"Adaptive-therapy prostate PSA trajectories","weight":0.5,"ipfs_cid":null,"license_hash":null},{"name":"ctDNA clonal-dynamics longitudinal panel","weight":0.3,"ipfs_cid":null,"license_hash":null},{"name":"PDX drug-response time series","weight":0.2,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":5000.0,"chain_hash":null,"chain_tx_hash":null,"chain_block":null}