Evidence map›Paper›PMID 20809365›Full record

ReviewTheory in biosciences = Theorie in den Biowissenschaften2011

Mathematical modeling of evolution. Solved and open problems.

Peter Schuster

Abstract readReview
PubMed Publisher
In one paragraph

Review in Theory in biosciences = Theorie in den Biowissenschaften, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.

0numbers the graph read from it
0cells of the map it votes in
18citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

18 citing papers in PubMed.

  1. Article
  2. RNA life on the edge of catastrophe.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
  3. Article
  4. Review
  5. Article
  6. Review
  7. Article
  8. Some mechanistic requirements for major transitions.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2016
    Article
  9. Article
  10. Article
  11. Molecular crowding and early evolution.Origins of life and evolution of the biosphere : the journal of the International Society for the Study of the Origin of Life · 2014
    Article
  12. Article
  13. Comprehensive experimental fitness landscape and evolutionary network for small RNA.Proceedings of the National Academy of Sciences of the United States of America · 2013
    Article
  14. Article
  15. Article
  16. Article
  17. Emerging modelling methodologies in medicine and biology, Introduction to the special issue.Theory in biosciences = Theorie in den Biowissenschaften · 2011
    Article
  18. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

1 author.

Peter SchusterInstitut für Theoretische Chemmie, Universität Wien, Währingerstraße 17, 1090, Wien, Austria. pks@tbi.univie.ac.at

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Evolution is a highly complex multilevel process and mathematical modeling of evolutionary phenomenon requires proper abstraction and radical reduction to essential features. Examples are natural selection, Mendel's laws of inheritance, optimization by mutation and selection, and neutral evolution. An attempt is made to describe the roots of evolutionary theory in mathematical terms. Evolution can be studied in vitro outside cells with polynucleotide molecules. Replication and mutation are visualized as chemical reactions that can be resolved, analyzed, and modeled at the molecular level, and straightforward extension eventually results in a theory of evolution based upon biochemical kinetics. Error propagation in replication commonly results in an error threshold that provides an upper bound for mutation rates. Appearance and sharpness of the error threshold depend on the fitness landscape, being the distribution of fitness values in genotype or sequence space. In molecular terms, fitness landscapes are the results of two consecutive mappings from sequences into structures and from structures into the (nonnegative) real numbers. Some properties of genotype-phenotype maps are illustrated well by means of sequence-structure relations of RNA molecules. Neutrality in the sense that many RNA sequences form the same (coarse grained) structure is one of these properties, and characteristic for such mappings. Evolution cannot be fully understood without considering fluctuations--each mutant originates form a single copy, after all. The existence of neutral sets of genotypes called neutral networks, in particular, necessitates stochastic modeling, which is introduced here by simulation of molecular evolution in a kind of flowreactor.

Indexed as

Evolution, MolecularModels, GeneticMutationSelection, Genetic

Identifiers

What OpenQuestion holds

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Read underepoch 390

Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.