2013
DOI: 10.1002/wsbm.1221
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Toward a quantitative understanding of the Wnt/β‐catenin pathway through simulation and experiment

Abstract: Wnt signaling regulates cell survival, proliferation, and differentiation throughout development and is aberrantly regulated in cancer. The pathway is activated when Wnt ligands bind to specific receptors on the cell surface, resulting in the stabilization and nuclear accumulation of the transcriptional co-activator β-catenin. Mathematical and computational models have been used to study the spatial and temporal regulation of the Wnt/β-catenin pathway and to investigate the functional impact of mutations in ke… Show more

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Cited by 35 publications
(37 citation statements)
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“…the removal of spatial dependencies. In general, more recent models of the Wnt signaling pathway have been based on the Lee model [21-24], as discussed in recent reviews [25,26]. However, to understand the Wnt signaling pathway for human cells, it is logical to want to progress the existing Xenopus Wnt signaling model to one which is parameterized for a mammalian cell system [27].…”
Section: Introductionmentioning
confidence: 99%
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“…the removal of spatial dependencies. In general, more recent models of the Wnt signaling pathway have been based on the Lee model [21-24], as discussed in recent reviews [25,26]. However, to understand the Wnt signaling pathway for human cells, it is logical to want to progress the existing Xenopus Wnt signaling model to one which is parameterized for a mammalian cell system [27].…”
Section: Introductionmentioning
confidence: 99%
“…Recent Wnt signaling models have progressed towards spatial multi-compartmental models [25,28-31] taking into account spatial complexity of cellular signaling [32]. Schmitz et al [29,30] developed ODE models, based on a two compartment (nucleus and cytoplasm) model, to study the influence of nucleo-cytoplasmic shuttling of APC and β-catenin on Wnt signaling [29].…”
Section: Introductionmentioning
confidence: 99%
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“…They allow one to test conditions that may currently be difficult to attain or even unapproachable in the laboratory. During the past decade, a variety of mathematical or computational models have been applied to study the Wnt signaling pathway at different levels [27]. The first quantitative model of the canonical Wnt pathway was proposed by Lee et al by a system of coupled ODEs to describe how the key proteins in the pathway change over time in response to the Wnt stimulation [28].…”
Section: Introductionmentioning
confidence: 99%
“…However, critical cell-level, tissue-level and disease-relevant quantitative data (spatial and dynamic responses of signalling proteins to bioactive stimuli) essential for producing robust models capable of predicting reliably crypt development, the effects of perturbation of tumour suppressor genes, the activation of proto-oncogenes or crypt responses to anti-cancer therapeutics1415 are lacking.…”
mentioning
confidence: 99%