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Due to the inherent symmetry structures and the electric properties in the microtubule (MT), we treat the MT as a one-dimensional ferroelectric system and describe the nonlinear dynamics of dimer electric dipoles in one protofilament of the MT by virtue of the double-well potential. Consequently, the physical problem has been mapped onto the pseudo-spin system, and the mean-field approximation has been taken to obtain some physical results, including the expression for the phase transition temperature Tc and the estimated value of Tc (≈ 312 K).