The mean and noise of stochastic gene transcription with cell division
Life growth and development are driven by continuous cell divisions. Cell division is a stochastic and complex process. In this paper, we study the impact of cell division on the mean and noise of mRNA numbers by using a two-state stochastic model of transcription. Our results show that the steady-s...
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AIMS Press
2018-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018058 |
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| author | Qi Wang Lifang Huang Kunwen Wen Jianshe Yu |
| author_facet | Qi Wang Lifang Huang Kunwen Wen Jianshe Yu |
| author_sort | Qi Wang |
| collection | DOAJ |
| description | Life growth and development are driven by continuous cell divisions. Cell division is a stochastic and complex process. In this paper, we study the impact of cell division on the mean and noise of mRNA numbers by using a two-state stochastic model of transcription. Our results show that the steady-state mRNA noise with symmetric cell division is less than that with binomial inheritance with probability 0.5, but the steady-state mean transcript level with symmetric division is always equal to that with binomial inheritance with probability 0.5. Cell division except random additive inheritance always decreases mean transcript level and increases transcription noise. Inversely, random additive inheritance always increases mean transcript level and decreases transcription noise. We also show that the steady-state mean transcript level (the steady-state mRNA noise) with symmetric cell division or binomial inheritance increases (decreases) with the average cell cycle duration. But the steady-state mean transcript level (the steady-state mRNA noise) with random additive inheritance decreases (increases) with the average cell cycle duration. Our results are confirmed by Gillespie stochastic simulation using plausible parameters. |
| format | Article |
| id | doaj-art-4c07cf2dc60d4cb48746bfc651182dfd |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-4c07cf2dc60d4cb48746bfc651182dfd2025-01-24T02:41:03ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-09-011551255127010.3934/mbe.2018058The mean and noise of stochastic gene transcription with cell divisionQi Wang0Lifang Huang1Kunwen Wen2Jianshe Yu3Center for Applied Mathematics, Guangzhou University, Guangzhou 510006, ChinaSchool of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510275, ChinaCenter for Applied Mathematics, Guangzhou University, Guangzhou 510006, ChinaCenter for Applied Mathematics, Guangzhou University, Guangzhou 510006, ChinaLife growth and development are driven by continuous cell divisions. Cell division is a stochastic and complex process. In this paper, we study the impact of cell division on the mean and noise of mRNA numbers by using a two-state stochastic model of transcription. Our results show that the steady-state mRNA noise with symmetric cell division is less than that with binomial inheritance with probability 0.5, but the steady-state mean transcript level with symmetric division is always equal to that with binomial inheritance with probability 0.5. Cell division except random additive inheritance always decreases mean transcript level and increases transcription noise. Inversely, random additive inheritance always increases mean transcript level and decreases transcription noise. We also show that the steady-state mean transcript level (the steady-state mRNA noise) with symmetric cell division or binomial inheritance increases (decreases) with the average cell cycle duration. But the steady-state mean transcript level (the steady-state mRNA noise) with random additive inheritance decreases (increases) with the average cell cycle duration. Our results are confirmed by Gillespie stochastic simulation using plausible parameters.https://www.aimspress.com/article/doi/10.3934/mbe.2018058asymmetric cell divisioncell cyclepartitionmean and noise |
| spellingShingle | Qi Wang Lifang Huang Kunwen Wen Jianshe Yu The mean and noise of stochastic gene transcription with cell division Mathematical Biosciences and Engineering asymmetric cell division cell cycle partition mean and noise |
| title | The mean and noise of stochastic gene transcription with cell division |
| title_full | The mean and noise of stochastic gene transcription with cell division |
| title_fullStr | The mean and noise of stochastic gene transcription with cell division |
| title_full_unstemmed | The mean and noise of stochastic gene transcription with cell division |
| title_short | The mean and noise of stochastic gene transcription with cell division |
| title_sort | mean and noise of stochastic gene transcription with cell division |
| topic | asymmetric cell division cell cycle partition mean and noise |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018058 |
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