Quantitative Mathematical Model of Neuronal Morphogenesis

(1)神经元极化是通过轴突顶端产生的牵引力实现的。我们分析了合作者提供的显微图像，以估计神经元产生的牵引力。通过这次合作研究，我们在世界上首次展示了从胞外分子到牵引力的信号转换。关于估算细胞牵引力的算法的手稿正在提交中。(2)利用前人建立的神经元极化的定量数学模型，研究了神经元发育过程中观察到的不规则事件的意义。我们发现从胞体到轴突尖端的不规则运输是神经元极化所必需的。(3)建立了Rho家族GTP酶(CDC42/rac1/RhoA)驱动细胞运动的定量数学模型。用增量贝叶斯方法从形态变化估计机械力。

（1） Neuronal polarization is achieved by the traction force generated at the neurite tip. We analyzed microscopic images given by our collaborators to estimate the traction force generated by neurons. By this collaborative research, we showed the signal conversion from extracellular molecule to traction force for the first time in the world. The manuscript about the algorithm to estimate cellular traction force is under submission. （2） Using quantitative mathematical model of neuronal polarization, which we developed in the previous work, we study the significance of irregular events observed during neuronal development. We showed that irregular transport from soma to neurite tip is necessary for neuronal polarization. （3） We developed the quantitative mathematical model of cell motility driven by Rho family GTPases （Cdc42/Rac1/RhoA）. Mechanical force was estimated from morphological change by incremental Bayes method.