The Dynamics of Complex Adaptation
summary
Argues that complex adaptations with k mutations succeed when the combination’s selective advantage exceeds local recombination so it avoids breakup, gives the quantitative condition recombination rate < s, and shows stochastic crossing is dominated by one lucky lineage whose total progeny or area ~ 1/(mu s) must produce ~1/s successful double mutants, yielding a characteristic waiting time ~ sqrt(1/(mu s)); applies to cancer (k≥2), HIV recombination ≈1%, and bacterial parameter estimates like N≈10^6.
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chapters (17)
- 0:00Intro
- 1:09Why do we care?
- 2:50Problems
- 3:08Start with the second problem
- 5:01Selection vs recombination numbers
- 8:16Selection vs stochasticity Trajectories of mutant lineages (t)
- 9:06Now address first problem
- 11:14Asexual dynamical regimes already complicated
- 11:49First guess
- 14:12Deterministic for very large population sizes
- 16:45Single-mutant lineage
- 18:13Distribution of total progeny
- 20:50Most likely path to success: one big lineage
- 21:29Range of behaviors over different population sizes
- 23:39When is complex adaptation likely?
- 28:20Putting it all together
- 29:35Conclusion
