Formulation of the protein synthesis rate with sequence information

Translation is a central biological process by which proteins are synthesized from genetic information contained within mRNAs. Here, we investigate the kinetics of translation at the molecular level by a stochastic simulation model. The model explicitly includes RNA sequences, ribosome dynamics, the...

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Main Authors: Wenjun Xia, Jinzhi Lei
Format: Article
Language:English
Published: AIMS Press 2018-03-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2018023
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author Wenjun Xia
Jinzhi Lei
author_facet Wenjun Xia
Jinzhi Lei
author_sort Wenjun Xia
collection DOAJ
description Translation is a central biological process by which proteins are synthesized from genetic information contained within mRNAs. Here, we investigate the kinetics of translation at the molecular level by a stochastic simulation model. The model explicitly includes RNA sequences, ribosome dynamics, the tRNA pool and biochemical reactions involved in the translation elongation. The results show that the translation efficiency is mainly limited by the available ribosome number, translation initiation and the translation elongation time. The elongation time is a log-normal distribution, with the mean and variance determined by the codon saturation and the process of aa-tRNA selection at each codon binding site. Moreover, our simulations show that the translation accuracy exponentially decreases with the sequence length. These results suggest that aa-tRNA competition is crucial for both translation elongation, translation efficiency and the accuracy, which in turn determined the effective protein production rate of correct proteins. Our results improve the dynamical equation of protein production with a delay differential equation that is dependent on sequence information through both the effective production rate and the distribution of elongation time.
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spelling doaj-art-e1bc8e686cbd43b0981d4f982b6b90052025-01-24T02:40:44ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-03-0115250752210.3934/mbe.2018023Formulation of the protein synthesis rate with sequence informationWenjun Xia0Jinzhi Lei1Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaZhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, ChinaTranslation is a central biological process by which proteins are synthesized from genetic information contained within mRNAs. Here, we investigate the kinetics of translation at the molecular level by a stochastic simulation model. The model explicitly includes RNA sequences, ribosome dynamics, the tRNA pool and biochemical reactions involved in the translation elongation. The results show that the translation efficiency is mainly limited by the available ribosome number, translation initiation and the translation elongation time. The elongation time is a log-normal distribution, with the mean and variance determined by the codon saturation and the process of aa-tRNA selection at each codon binding site. Moreover, our simulations show that the translation accuracy exponentially decreases with the sequence length. These results suggest that aa-tRNA competition is crucial for both translation elongation, translation efficiency and the accuracy, which in turn determined the effective protein production rate of correct proteins. Our results improve the dynamical equation of protein production with a delay differential equation that is dependent on sequence information through both the effective production rate and the distribution of elongation time.https://www.aimspress.com/article/doi/10.3934/mbe.2018023rna translationefficiencydelay differential equationnoncoding rna
spellingShingle Wenjun Xia
Jinzhi Lei
Formulation of the protein synthesis rate with sequence information
Mathematical Biosciences and Engineering
rna translation
efficiency
delay differential equation
noncoding rna
title Formulation of the protein synthesis rate with sequence information
title_full Formulation of the protein synthesis rate with sequence information
title_fullStr Formulation of the protein synthesis rate with sequence information
title_full_unstemmed Formulation of the protein synthesis rate with sequence information
title_short Formulation of the protein synthesis rate with sequence information
title_sort formulation of the protein synthesis rate with sequence information
topic rna translation
efficiency
delay differential equation
noncoding rna
url https://www.aimspress.com/article/doi/10.3934/mbe.2018023
work_keys_str_mv AT wenjunxia formulationoftheproteinsynthesisratewithsequenceinformation
AT jinzhilei formulationoftheproteinsynthesisratewithsequenceinformation