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Evolutionary innovations often require exponential time to discover new biological functions, especially for longer genetic sequences. However, a regeneration process can enable evolution to find these functions on polynomial time scales.

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Area of Science:

  • Evolutionary biology
  • Theoretical biology
  • Computational biology

Background:

  • Understanding the timescale of evolutionary innovations is a fundamental question in biology.
  • Previous studies focused on the fixation time of single mutations.
  • The time required for evolutionary trajectories to discover new functions remains largely unexplored.

Purpose of the Study:

  • To investigate the time scale required for populations to evolve new biological functions by exploring fitness landscapes.
  • To determine how the length of genetic sequences (L) influences the time needed for adaptation.
  • To identify mechanisms that permit evolution to operate on tractable (polynomial) time scales.

Main Methods:

  • Developed a theoretical framework to estimate evolutionary time as a function of sequence length (L).
  • Analyzed adaptation dynamics on various fitness landscapes.
  • Investigated the impact of a regeneration process on evolutionary timescales.

Main Results:

  • Adaptation on many fitness landscapes requires time that scales exponentially with sequence length (L).
  • This exponential scaling occurs even with broad selection gradients and uniformly distributed targets.
  • A specific regeneration process was shown to facilitate adaptation on polynomial time scales.

Conclusions:

  • Evolutionary search for new functions can be computationally intractable (exponential time) for longer sequences.
  • Regeneration processes represent a potential mechanism for accelerating evolutionary innovation.
  • This work provides insights into the efficiency and constraints of evolutionary trajectories.