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Dosage effects in morphogenetic gradients of transcription factors: insights from a simple mathematical model

机译:转录因子的形态发生梯度的剂量效应:简单数学模型见解

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The classical Hill equation is the simplest way to model sharp transcriptional responses (TR) to changing concentrations of a regulator. Such steep sigmoidal transitions of the TR are often involved in the creation of boundaries or domains during development. Here, I use the Hill function to explore the response of a promoter to a gradient of a transcription factor (TF). Specifically, I examine how various sources of nonlinearity (such as that imposed by the number of TF-binding sites) and the nonlinearity of the gradient itself influence TR and modulate its robustness to variations in the dosage of morphogen. This qualitative analysis underscores how nonlinearities can modulate the robustness of TR and is a convenient way to convey concepts in a teaching setting.
机译:经典的希尔方程是模拟对调节器浓度变化的剧烈转录反应(TR)的最简单方法。TR的这种陡峭的S形转变通常涉及开发过程中边界或域的创建。在这里,我使用希尔函数来探索启动子对转录因子(TF)梯度的反应。具体来说,我研究了各种非线性源(如TF结合位点的数量所施加的非线性)和梯度本身的非线性如何影响TR,并调节其对形态发生剂剂量变化的鲁棒性。这种定性分析强调了非线性如何调节TR的稳健性,并且是在教学环境中传达概念的一种便捷方式。

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