期刊
JOURNAL OF MATHEMATICAL BIOLOGY
卷 79, 期 4, 页码 1319-1355出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00285-019-01396-7
关键词
Pollen tube tip growth; Reaction-diffusion model; Oscillation; Spatiotemporal patterns
资金
- National Science Foundation [ATD-1222718, DMS-1715651]
- University of California, Riverside [AES-CE RSAP A01869]
- National Institute of General Medical Sciences [GM100130]
- China Scholarship Council
A reaction-diffusion model is proposed to describe the mechanisms underlying the spatial distributions of ROP1 and calcium on the pollen tube tip. The model assumes that the plasma membrane ROP1 activates itself through positive feedback loop, while the cytosolic calcium ions inhibit ROP1 via a negative feedback loop. Furthermore it is proposed that lateral movement of molecules on the plasma membrane are depicted by diffusion. It is shown that bistable or oscillatory dynamics could exist even in the non-spatial model, and stationary and oscillatory spatiotemporal patterns are found in the full spatial model which resemble the experimental data of pollen tube tip growth.
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