Each cell divides or dies every step according to two families of mutation. Oncogenes such as RAS and MYC act like a stuck gas pedal โ activating one raises a cell's division probability. Tumor-suppressor genes such as TP53 and RB act like brakes that trigger apoptosis when DNA damage is detected โ losing one lets a damaged cell keep dividing instead of dying. A cell that has acquired both is a fully transformed clone: fast division, near-immune to apoptosis. Microsatellite instability (MSI) is a broken DNA-repair proofreading system โ it doesn't change either rate directly, it multiplies how often new driver mutations appear at each division, seeding more of both.
P(divide) = 0.07 ยท (3.2 if onco) ยท (2.8 if supp) ยท (1.5 if both)
P(apoptosis) = 0.025 ยท (0.12 if supp) ยท (1.15 if onco&!supp)
P(new driver) = rate_slider ยท 0.03 ยท MSIร
- Oncogene activation โ chance a dividing cell's daughter gains a RAS/MYC-style driver, pushing the division rate up.
- Suppressor loss โ chance a daughter loses TP53/RB-style protection, collapsing its apoptosis rate.
- MSI mutation rate โ multiplies both mutation chances; a genomically unstable clone accumulates drivers far faster.
- Colors โ green cells are unmutated tissue, amber have only an active oncogene, purple have only lost a suppressor, red have both and are the malignant clone actually driving tumor growth.
Real-world relevance: this two-hit pattern โ a gas-pedal mutation plus a lost brake โ is why cancer is rarely caused by one mutation alone, and why liquid biopsies that sequence circulating tumor DNA look specifically for these driver combinations to flag malignancy early.