Abstract:
:The Wnt/beta-catenin signalling pathway is evolutionarily conserved across many species and plays important roles during embryogenesis. The Lee-Heinrich model (to recognize the contributions of R. Heinrich we will refer to the work proposed by Lee et al. [Lee, E., Salic, A., Krüger, R., Heinrich, R., Kirschner, M.W. (2003) The roles of APC and axin derived from experimental and theoretical analysis of the Wnt pathway. PloS Biol. 1, 116-132] as the Lee-Heinrich model) describes this pathway by use of coupled ordinary differential equations. Here, we extend this model by introducing negative feedback loops of the pathway using time-delay differential equations. Single- and multiple-parameter perturbations suggest a very robust behaviour of this pathway that can also demonstrate oscillatory behaviour. These findings are of biological significance as Wnt pathway components show oscillations during vertebrate somitogenesis.
journal_name
FEBS Lettjournal_title
FEBS lettersauthors
Wawra C,Kühl M,Kestler HAdoi
10.1016/j.febslet.2007.07.043subject
Has Abstractpub_date
2007-08-21 00:00:00pages
4043-8issue
21eissn
0014-5793issn
1873-3468pii
S0014-5793(07)00816-2journal_volume
581pub_type
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