scholarly journals Codon usage is a stochastic process across genetic codes of the kingdoms of life

2016 ◽  
Author(s):  
Bohdan B. Khomtchouk ◽  
Claes Wahlestedt ◽  
Wolfgang Nonner

DNA encodes protein primary structure using 64 different codons to specify 20 different amino acids and a stop signal. To uncover rules of codon use, ranked codon frequencies have previously been analyzed in terms of empirical or statistical relations for a small number of genomes. These descriptions fail on most genomes reported in the Codon Usage Tabulated from GenBank (CUTG) database. Here we model codon usage as a random variable. This stochastic model provides accurate, one-parameter characterizations of 2210 nuclear and mitochondrial genomes represented with > 104 codons/genome in CUTG. We show that ranked codon frequencies are well characterized by a truncated normal (Gaussian) distribution. Most genomes use codons in a nearuniform manner. Lopsided usages are also widely distributed across genomes but less frequent. Our model provides a universal framework for investigating determinants of codon use.


Parasitology ◽  
2004 ◽  
Vol 128 (3) ◽  
pp. 245-251 ◽  
Author(s):  
L. PEIXOTO ◽  
V. FERNÁNDEZ ◽  
H. MUSTO

The usage of alternative synonymous codons in the completely sequenced, extremely A+T-rich parasitePlasmodium falciparumwas studied. Confirming previous studies obtained with less than 3% of the total genes recently described, we found that A- and U-ending triplets predominate but translational selection increases the frequency of a subset of codons in highly expressed genes. However, some new results come from the analysis of the complete sequence. First, there is more variation in GC3 than previously described; second, the effect of natural selection acting at the level of translation has been analysed with real expression data at 4 different stages and third, we found that highly expressed proteins increment the frequency of energetically less expensive amino acids. The implications of these results are discussed.



Biosystems ◽  
2007 ◽  
Vol 90 (2) ◽  
pp. 362-370 ◽  
Author(s):  
Takaaki Kamatani ◽  
Tetsuya Yamamoto




2021 ◽  
Author(s):  
El ghazi Imad

Abstract We prove in this short paper that the stochastic process defined by: $$Y_{t} := \frac{X_{t+1}}{\mathbb{E}\left[ X_{t+1}\right]},\; t\geq a > 1,$$ is an increasing process for the convex order,where Χt a random variable taking values in N with probability P(Χt = n) = n-t/(𝛇(t)) and 𝛇(t) = +∞∑k=1(1/kt), ∀t > 1.



2018 ◽  
Vol 7 (4.10) ◽  
pp. 497
Author(s):  
Y. Suresh Kumar ◽  
N. Seshagiri Rao ◽  
B. V AppaRao

The present work is related to a three species ecosystem including a mutualism interaction between two species and a predator, where the predator is depending on both the mutual species. All three species in this model are considered in limited resources. The sustainability of the system (local stability) is discussed through the perturbed technique at the possible existing each equilibrium points. Using Lyapunov's technique the global stability of the system is also described. Further the nature of the system is observed by introducing the stochastic process to the species and the numerical simulations are studied to know the interaction among the species. 





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