Modelling hair follicle growth dynamics as an excitable medium.
Modelling hair follicle growth dynamics as an excitable medium.
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DOI:
10.1371/journal.pcbi.1002804
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发表时间:
2012
影响因子:
4.3
通讯作者:
Baker RE
中科院分区:
文献类型:
--
作者:
Murray PJ;Maini PK;Plikus MV;Chuong CM;Baker RE
The hair follicle system represents a tractable model for the study of stem cell behaviour in regenerative adult epithelial tissue. However, although there are numerous spatial scales of observation (molecular, cellular, follicle and multi follicle), it is not yet clear what mechanisms underpin the follicle growth cycle. In this study we seek to address this problem by describing how the growth dynamics of a large population of follicles can be treated as a classical excitable medium. Defining caricature interactions at the molecular scale and treating a single follicle as a functional unit, a minimal model is proposed in which the follicle growth cycle is an emergent phenomenon. Expressions are derived, in terms of parameters representing molecular regulation, for the time spent in the different functional phases of the cycle, a formalism that allows the model to be directly compared with a previous cellular automaton model and experimental measurements made at the single follicle scale. A multi follicle model is constructed and numerical simulations are used to demonstrate excellent qualitative agreement with a range of experimental observations. Notably, the excitable medium equations exhibit a wider family of solutions than the previous work and we demonstrate how parameter changes representing altered molecular regulation can explain perturbed patterns in Wnt over-expression and BMP down-regulation mouse models. Further experimental scenarios that could be used to test the fundamental premise of the model are suggested. The key conclusion from our work is that positive and negative regulatory interactions between activators and inhibitors can give rise to a range of experimentally observed phenomena at the follicle and multi follicle spatial scales and, as such, could represent a core mechanism underlying hair follicle growth. Although the molecular interactions that regulate the follicle growth cycle have begun to be uncovered, the fundamental interactions that regulate periodicity remain elusive. In this study we develop a model in which we neglect biophysical effects (and hence morphological changes) by treating each follicle as a functional unit. We then describe caricature interactions at the follicle scale which have the property that a field of coupled follicles can be treated as an excitable medium. We perform a range of simulations that demonstrate qualitative agreement with experimental observations. Furthermore, the modelling results suggest a regulatory mechanism that might represent a key underlying principle in the regulation of hair growth.
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影响因子:
4.5
作者:
Lin KK;Kumar V;Geyfman M;Chudova D;Ihler AT;Smyth P;Paus R;Takahashi JS;Andersen B
通讯作者:
Andersen B
影响因子:
1.7
作者:
MCKEAN, HP
通讯作者:
MCKEAN, HP
DOI:
10.1038/sj.jidsp.5640241
发表时间:
1999-12-01
影响因子:
--
作者:
Paus, R;Müller-Röver, S;Botchkarev, VA
通讯作者:
Botchkarev, VA
DOI:
10.1126/science.1201647
发表时间:
2011-04-29
期刊:
Science (New York, N.Y.)
影响因子:
--
作者:
Plikus MV;Baker RE;Chen CC;Fare C;de la Cruz D;Andl T;Maini PK;Millar SE;Widelitz R;Chuong CM
通讯作者:
Chuong CM
影响因子:
6.5
作者:
Plikus, Maksim V.
通讯作者:
Plikus, Maksim V.