The fencing problem and Coleochaete cell division
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  • 作者:Yuandi Wang ; Mingya Dou ; Zhigang Zhou
  • 关键词:Fencing problem ; Mathematical model ; Differential equation ; Cell division ; 34B60 ; 49S05 ; 92B05
  • 刊名:Journal of Mathematical Biology
  • 出版年:2015
  • 出版时间:March 2015
  • 年:2015
  • 卷:70
  • 期:4
  • 页码:893-912
  • 全文大小:830 KB
  • 参考文献:1. Besson S, Dumais J (2011) Universal rule for the symmetric division of plant cells. Proc Natl Acad Sci USA 108(15):6294-299 CrossRef
    2. Croft HT, Falconer KJ, Guy RK (1991) A26-Dividing up a piece of land by a short fence. Unsolved problems in intuitive mathematics, vol II, Unsolved problems in geometry Springer-Verlag, New York, pp 37-8
    3. Dupuy L, Mackenzie J, Haseloff J (2010) Coordination of plant cell division and expansion in a simple morphogenetic system. Proc Natl Acad Sci USA 107(6):2711-716 CrossRef
    4. Goldberg M (1969) Elementary problems: E2185. Am Math Mon 76(7):825-25 CrossRef
    5. Graham LE (1984) Coleochaete and the origin of land plants. Am J Bot 71(4):603-08 CrossRef
    6. Jiang WS, Zhang FD (1988) The origin of terrestrial plant life history. Plants 3:45-6 (in Chinese)
    7. Karol KG, McCourt RM, Cimino MT, Delwiche CF (2001) The closest living relatives of land plants. Science 294(14):2351-3 CrossRef
    8. Klamkin MS (1974) Minimal curve for fixed area. Am Math Mon 81:903-04 CrossRef
    9. Klamkin MS (1992) Book reviews. SIAM Rev 34(2):335-38 CrossRef
    10. Li SH, Bi LJ (eds) (1998) Chinese freshwater algae chi, vol 5. Science Press, Beijing, pp 82-6 (in Chinese)
    11. Miori C, Peri C, Gomis SS (2004) On fencing problems. J Math Anal Appl 300(2):464-76 CrossRef
    12. Shi BL, Wang YD (2012) Evolution modeling on growth image of cells. Comput Simul 29(12):307-11 (in Chinese)
    13. Wiener N (1914) The shortest line dividing an area in a given ratio. Proc Cam Philos Soc 18:56-8
  • 刊物类别:Mathematics and Statistics
  • 刊物主题:Mathematics
    Mathematical Biology
    Applications of Mathematics
  • 出版者:Springer Berlin / Heidelberg
  • ISSN:1432-1416
文摘
The findings in this study suggest that the solution of a boundary value problem for differential equation system can be used to discuss the fencing problem in mathematics and Coleochaete, a green algae, cell division. This differential equation model in parametric expression is used to simulate the two kinds of cell division process, one is for the usual case and the case with a “dead-daughter cell.

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