Effects of local mutations in quadratic iterations

Abstract excerpt

We introduce mutations in replication systems in which the intact copying mechanism is performed by discrete iterations of a complex quadratic map in the family fc ( z ) = z 2 + c . More specifically, we consider a “correct” function fc 1 acting on the complex plane (representing the DNA to be copied). A “mutation” fc 0 is a different (“erroneous”) map acting on a locus of given radius r around a mutation focal po...

Topics

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• Computer Simulation
• Evolution, Molecular
• Genetics, Population
• Models, Biological
• Mutation
• Neoplasms
• Nonlinear Dynamics
• Stochastic Processes

Identifiers and source

Literature Corpus work

4f0d3226-21c0-5f75-b313-cccc02906e17

DOI

10.21203/rs.3.rs-3230733/v1