| Citation: |
Haichao Fang, Qiwen Sun. THE DYNAMICS OF GENE TRANSCRIPTION INDUCED BY VARIATION IN TRANSCRIPTION KINETICS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2955-2971. doi: 10.11948/20230072
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THE DYNAMICS OF GENE TRANSCRIPTION INDUCED BY VARIATION IN TRANSCRIPTION KINETICS
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Abstract
In single cells, the process of gene transcription generally demonstrates complicated and stochastic behaviors. The stochasticity of transcription brings about large variations in the number of mRNA molecules, even in a homogeneous intracellular environment. Randomly switching between periods of active and inactive gene expression is considered to be the main cause of the high variation of the mRNA distributions. Many studies have revealed that the transcription system will enter a steady state after several transcription cycles in the last three decades. Changes in the intracellular or intercellular environment give rise to changes in transcription parameters, resulting in perturbations of a homeostatic state. In this paper, we mainly studied the dynamic behaviors of the mean mRNA level and the noise following the occurrence of the variation in transcription kinetics. We defined three quantities that are used to determine the monotonicity of the average transcription level. When the mean level is not monotonous, the value may reach the potential thresholds, thereby changing the fate of cells. This is extremely significant for researching gene expression regulation.
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References
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Haichao Fang, Qiwen Sun. THE DYNAMICS OF GENE TRANSCRIPTION INDUCED BY VARIATION IN TRANSCRIPTION KINETICS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2955-2971. doi: 10.11948/20230072
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Figure 1.
Stochastic gene transcription induced by parameter changes. (A) The promoter is activated by binding transcription factors to the regulation region, and transcription starts when RNA polymerase binds to a promoter, and then moves along the template and produces an RNA chain. (B) Transcription is regulated frequently by RNA polymerase and other regulatory factors, leading to variations in transcription kinetics. (C) The variation in parameters enables the transcription system to deviate from the original equilibrium state.
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Figure 2.
The planes
$ \Delta =0 $ $ \Theta=0 $ $ \Lambda=0 $ $ m(t) $ $ (\Delta, \Theta, \Lambda) $ -
Figure 3.
The dynamic behaviors of
$ m(t) $ $ (\Delta, \Theta, \Lambda) $ $ m(t) $ $ (\Delta, \Theta, \Lambda) $ $ (\Delta, \Theta, \Lambda) $ $ \Lambda $ $ (0, 0, 0) $ -
Figure 4.
The temporal profiles of the mean transcription level
$ m(t) $ $ \eta^2(t) $ $ m(t) $ $ \eta^2(t) $ -
Figure 5.
The temporal profile of the mean transcription level
$ m(t) $ $ (\Delta, \Theta, \Lambda)=(814.3, -0.1804, -58.9184)\in{\rm VIII} $ $ m(t) $ $ 278.1 $ $ 299.1 $ $ t=1.6 $ $ 262.4 $