A simple stochastic model for the evolution of protein lengths
Autor: | C. Destri, C. Miccio |
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Přispěvatelé: | Destri, C, Miccio, C |
Rok vydání: | 2007 |
Předmět: |
Continuous-time stochastic process
Stochastic modelling Molecular Sequence Data Quantitative Biology - Quantitative Methods Evolution Molecular Simple (abstract algebra) Computer Simulation Amino Acid Sequence Statistical physics Quantitative Biology - Populations and Evolution Quantitative Methods (q-bio.QM) Mathematics Random graph Discrete mathematics Stochastic Processes Quantitative Biology::Biomolecules Models Statistical Base Sequence Models Genetic Stochastic process Populations and Evolution (q-bio.PE) Proteins Scale invariance Recursive tree FIS/02 - FISICA TEORICA MODELLI E METODI MATEMATICI Models Chemical FOS: Biological sciences Statistical biophysics Sequence Analysis Random variable |
DOI: | 10.48550/arxiv.q-bio/0703054 |
Popis: | We analyse a simple discrete-time stochastic process for the theoretical modeling of the evolution of protein lengths. At every step of the process a new protein is produced as a modification of one of the proteins already existing and its length is assumed to be random variable which depends only on the length of the originating protein. Thus a Random Recursive Trees (RRT) is produced over the natural integers. If (quasi) scale invariance is assumed, the length distribution in a single history tends to a lognormal form with a specific signature of the deviations from exact gaussianity. Comparison with the very large SIMAP protein database shows good agreement. Comment: 12 pages, 4 figures |
Databáze: | OpenAIRE |
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