Go-and-Back method: effective estimation of the hidden motion of proteins from single-molecule time series |
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Authors: | Miyazaki Makito Harada Takahiro |
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Institution: | Department of Physics, Graduate School of Science, Kyoto University, Kyoto, Japan. miyazaki@chem.scphys.kyoto-u.ac.jp |
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Abstract: | We present an effective method for estimating the motion of proteins from the motion of attached probe particles in single-molecule experiments. The framework naturally incorporates Langevin dynamics to compute the most probable trajectory of the protein. By using a perturbation expansion technique, we achieve computational costs more than 3 orders of magnitude smaller than the conventional gradient descent method without loss of simplicity in the computation algorithm. We present illustrative applications of the method using simple models of single-molecule experiments and confirm that the proposed method yields reasonable and stable estimates of the hidden motion in a highly efficient manner. |
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