Quantitative Mathematical Model of Neuronal Morphogenesis

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（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.