Complexity Issues in Rearrangement Evolution
summary
Counts explicit evolutionary sequences for common rearrangements: one breakage–fusion–bridge yields 1 outcome, two yields 2, three breakpoints give 2^k choices (eight when k=3), and two tandem duplications produce 11 distinct configurations. Mixing mechanisms uses a backward reference reset and multiplies per-breakpoint choices to enumerate possibilities, assuming each event creates new breakpoints; the overall combinatorial space grows like 2^(n^2), far faster than exponential. Proposes mapping age-structured, non‑Markovian cell birth–death to path integral / Feynman diagram mapping to compute realistic clone growth.
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chapters (10)
- 0:00Start
- 0:56Breakage Fusion Bridge
- 4:51Tandem Duplication Process
- 13:282. Quantum Field Theory Methods for Cell Population Dynamics
- 15:34Aims for Cell Population Dynamics
- 16:27Non Markovian Dynamics
- 17:13Cell Population Growth
- 18:09Mutation Accumulation
- 19:07Quantum Field Theory vs Cell Populations
- 23:14Summary 2