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Oscillations and bifurcation structure of reaction-diffusion model for cell polarity formation
| Title: | Oscillations and bifurcation structure of reaction-diffusion model for cell polarity formation |
| Authors: | Kuwamura, Masataka Browse this author →KAKEN DB | | Izuhara, Hirofumi Browse this author →KAKEN DB | | Ei, Shin-ichiro Browse this author →KAKEN DB |
| Keywords: | Cell polarity oscillations | | Reaction-diffusion system | | Bistable nonlinearity |
| Issue Date: | 25-Feb-2022 |
| Publisher: | Springer |
| Journal Title: | Journal of mathematical biology |
| Volume: | 84 |
| Issue: | 4 |
| Start Page: | 22 |
| Publisher DOI: | 10.1007/s00285-022-01723-5 |
| Abstract: | We investigate the oscillatory dynamics and bifurcation structure of a reaction-diffusion system with bistable nonlinearity and mass conservation, which was proposed by (Otsuji et al., PLoS Comp Biol 3:e108, 2007). The system is a useful model for understanding cell polarity formation. We show that this model exhibits four different spatiotemporal patterns including two types of oscillatory patterns, which can be regarded as cell polarity oscillations with the reversal and non-reversal of polarity, respectively. The trigger causing these patterns is a diffusion-driven (Turing-like) instability. Moreover, we investigate the effects of extracellular signals on the cell polarity oscillations. |
| Rights: | This is a pre-print of an article published in Journal of mathematical biology. The final authenticated version is available online at: https://doi.org/10.1007/s00285-022-01723-5 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/88700 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 栄 伸一郎
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