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Examination of effects of GSK3β phosphorylation, β-catenin phosphorylation, and β-catenin degradation on kinetics of Wnt signaling pathway using computational method

机译:用计算方法检验GSK3β磷酸化,β-catenin磷酸化和β-catenin降解对Wnt信号通路动力学的影响

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Background Recent experiments have explored effects of activities of kinases other than the well-studied GSK3β, in wnt pathway signaling, particularly at the level of β-catenin. It has also been found that the kinase PKA attenuates β-catenin degradation. However, the effects of these kinases on the level and degradation of β-catenin and the resulting downstream transcription activity remain to be clarified. Furthermore, the effect of GSK3β phosphorylation on the β-catenin level has not been examined computationally. In the present study, the effects of phosphorylation of GSK3β and of phosphorylations and degradation of β-catenin on the kinetics of the wnt signaling pathway were examined computationally. Methods The well-known computational Lee-Heinrich kinetic model of the wnt pathway was modified to include these effects. The rate laws of reactions in the modified model were solved numerically to examine these effects on β-catenin level. Results The computations showed that the β-catenin level is almost linearly proportional to the phosphorylation activity of GSK3β. The dependence of β-catenin level on the phosphorylation and degradation of free β-catenin and downstream TCF activity can be analyzed with an approximate, simple function of kinetic parameters for added reaction steps associated with effects examined, rationalizing the experimental results. Conclusion The phosphorylations of β-catenin by kinases other than GSK3β involve free unphorphorylated β-catenin rather than GSK3β-phosphorylated β-catenin*. In order to account for the observed enhancement of TCF activity, the β-catenin dephosphorylation step is essential, and the kinetic parameters of β-catenin phosphorylation and degradation need to meet a condition described in the main text. These findings should be useful for future experiments.
机译:背景技术最近的实验已经探索了除了研究透彻的GSK3β以外的激酶活性在wnt信号通路中的作用,特别是在β-catenin水平上。还发现激酶PKA减弱了β-连环蛋白的降解。然而,这些激酶对β-连环蛋白的水平和降解以及所产生的下游转录活性的影响尚待阐明。此外,尚未通过计算检查GSK3β磷酸化对β-连环蛋白水平的影响。在本研究中,通过计算检查了GSK3β的磷酸化以及β-catenin的磷酸化和降解对wnt信号通路动力学的影响。方法修改了wnt通路的著名计算Lee-Heinrich动力学模型,以包括这些影响。数值求解了改进模型中的反应速率定律,以检验这些对β-连环蛋白水平的影响。结果计算表明,β-连环蛋白水平几乎与GSK3β的磷酸化活性成线性比例关系。 β-catenin水平对游离β-catenin磷酸化和降解以及下游TCF活性的依赖性可以通过动力学参数的近似,简单函数来分析,以增加与所检查的效果相关的反应步骤,从而使实验结果合理化。结论GSK3β以外的激酶使β-catenin磷酸化涉及游离的未磷酸化的β-catenin,而不是GSK3β磷酸化的β-catenin*。为了说明观察到的TCF活性增强,必不可少的是β-catenin的去磷酸化步骤,β-catenin磷酸化和降解的动力学参数必须满足正文中所述的条件。这些发现对于将来的实验应该是有用的。

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