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}
}