Stochastic Gene Expression Model of Nuclear-to-Cell Ratio Homeostasis
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| Format: | Preprint |
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2024
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| _version_ | 1866908615528415232 |
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| author | Bai, Xuesong Fai, Thomas G. |
| author_facet | Bai, Xuesong Fai, Thomas G. |
| contents | Cell size varies between different cell types, and between different growth and osmotic conditions. However, the nuclear-to-cell volume ratio (N/C ratio) remains nearly constant. In this paper, we build on existing deterministic models of N/C ratio homeostasis and develop a simplified gene translation model to study the effect of stochasticity on the N/C ratio homeostasis. We solve the corresponding chemical master equation and obtain the mean and variance of the N/C ratio. We also use a Taylor expansion approximation to study the effects of the system size on the fluctuations of the N/C ratio. We then combine the translation model with a cell division model to study the effects of extrinsic noises from cell division on the N/C ratio. Our model demonstrates that the N/C ratio homeostasis is maintained when the stochasticity in cell growth is taken into account, that the N/C ratio is largely determined by the gene fraction of nuclear proteins, and that the fluctuations in the N/C ratio diminish as the system size increases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_19066 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic Gene Expression Model of Nuclear-to-Cell Ratio Homeostasis Bai, Xuesong Fai, Thomas G. Cell Behavior 92C37, 92C40, 92C45 Cell size varies between different cell types, and between different growth and osmotic conditions. However, the nuclear-to-cell volume ratio (N/C ratio) remains nearly constant. In this paper, we build on existing deterministic models of N/C ratio homeostasis and develop a simplified gene translation model to study the effect of stochasticity on the N/C ratio homeostasis. We solve the corresponding chemical master equation and obtain the mean and variance of the N/C ratio. We also use a Taylor expansion approximation to study the effects of the system size on the fluctuations of the N/C ratio. We then combine the translation model with a cell division model to study the effects of extrinsic noises from cell division on the N/C ratio. Our model demonstrates that the N/C ratio homeostasis is maintained when the stochasticity in cell growth is taken into account, that the N/C ratio is largely determined by the gene fraction of nuclear proteins, and that the fluctuations in the N/C ratio diminish as the system size increases. |
| title | Stochastic Gene Expression Model of Nuclear-to-Cell Ratio Homeostasis |
| topic | Cell Behavior 92C37, 92C40, 92C45 |
| url | https://arxiv.org/abs/2407.19066 |