We analyze 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 modi¿cation of one of the proteins already existing, and its length is assumed to be a random variable that depends only on the length of the originating protein. Thus a random recursive tree is produced over the natural numbers. If quasi scale invariance is assumed, the length distribution in a single history tends to a log-normal form with a speci¿c signature of the deviations from exact Gaussianity. Comparison with the very large Similarity Matrix of Proteins database shows good agreement.

Destri, C., Miccio, C. (2007). Simple stochastic model for the evolution of protein lengths. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 76(1) [10.1103/PhysRevE.76.011924].

Simple stochastic model for the evolution of protein lengths

DESTRI, CLAUDIO;
2007

Abstract

We analyze 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 modi¿cation of one of the proteins already existing, and its length is assumed to be a random variable that depends only on the length of the originating protein. Thus a random recursive tree is produced over the natural numbers. If quasi scale invariance is assumed, the length distribution in a single history tends to a log-normal form with a speci¿c signature of the deviations from exact Gaussianity. Comparison with the very large Similarity Matrix of Proteins database shows good agreement.
Articolo in rivista - Articolo scientifico
Statistical biophysics
English
30-lug-2007
76
1
011924
open
Destri, C., Miccio, C. (2007). Simple stochastic model for the evolution of protein lengths. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 76(1) [10.1103/PhysRevE.76.011924].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/4504
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