A mathematical model for the keratin cycle of assembly and disassembly (bibtex)
by Sun, Chengjun, Leube, Rudolf, Windoffer, Reinhard and Portet, Stéphanie
Reference:
A mathematical model for the keratin cycle of assembly and disassembly (Sun, Chengjun, Leube, Rudolf, Windoffer, Reinhard and Portet, Stéphanie), In IMA Journal of Applied Mathematics, Oxford University Press, volume 80, 2015.
Bibtex Entry:
@ARTICLE{sun2013mathematical,
  author = {Sun, Chengjun and Leube, Rudolf and Windoffer, Reinhard and Portet,
	St{\'e}phanie},
  title = {A mathematical model for the keratin cycle of assembly and disassembly},
  journal = {IMA Journal of Applied Mathematics},
  year = {2015},
  volume = {80},
  pages = {100--114},
  number = {1}
  abstract = {We formulate a mathematical model to study the in vivo keratin organization
	in terms of repartition of the keratin material between three different
	structural states: soluble proteins, filament precursors and filamentous
	state. The model describes a cycle of assembly and disassembly of
	keratin material. A generic nucleation function and structural stability
	of filament precursors are assumed. It is established that the three
	structural states always coexist and that the repartition of keratin
	material never exhibits any cyclic behaviour. Under some conditions,
	it is shown that the choice of the nucleation function does not affect
	the qualitative behaviour of the system. However, it might change
	the stable repartition of the keratin material in the cell.},
  note = {First published online on May 24, 2013},
  doi = {10.1093/imamat/hxt030},
  publisher = {Oxford University Press},
url ={https://academic.oup.com/imamat/article-abstract/80/1/100/743676?redirectedFrom=fulltext}
}
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