A conceptual framework for modeling a latching mechanism for cell cycle regulation
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912153715343360 |
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| author | Gandhi, Punit Wang, Yangyang |
| author_facet | Gandhi, Punit Wang, Yangyang |
| contents | Two identical van der Pol oscillators with mutual inhibition are considered as a conceptual framework for modeling a latching mechanism for cell cycle regulation. In particular, the oscillators are biased to a latched state in which there is a globally attracting steady-state equilibrium without coupling. The inhibitory coupling induces stable alternating large-amplitude oscillations that model the normal cell cycle. A homoclinic bifurcation within the model is found to be responsible for the transition from normal cell cycling to endocycles in which only one of the two oscillators undergoes large-amplitude oscillations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A conceptual framework for modeling a latching mechanism for cell cycle regulation Gandhi, Punit Wang, Yangyang Dynamical Systems 34C14, 34C15, 34C23, 34C37, 92C37 Two identical van der Pol oscillators with mutual inhibition are considered as a conceptual framework for modeling a latching mechanism for cell cycle regulation. In particular, the oscillators are biased to a latched state in which there is a globally attracting steady-state equilibrium without coupling. The inhibitory coupling induces stable alternating large-amplitude oscillations that model the normal cell cycle. A homoclinic bifurcation within the model is found to be responsible for the transition from normal cell cycling to endocycles in which only one of the two oscillators undergoes large-amplitude oscillations. |
| title | A conceptual framework for modeling a latching mechanism for cell cycle regulation |
| topic | Dynamical Systems 34C14, 34C15, 34C23, 34C37, 92C37 |
| url | https://arxiv.org/abs/2412.09437 |