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- Takahiro Harada, Hisa-Aki Tanaka, Michael J Hankins, István Z Kiss
- Physical review letters
- 2010

A theory for obtaining a waveform for the effective entrainment of a weakly forced oscillator is presented. Phase model analysis is combined with calculus of variation to derive a waveform with which entrainment of an oscillator is achieved with a minimum power forcing signal. Optimal waveforms are calculated from the phase response curve and a solution to… (More)

- Takahiro Harada, Shin-ichi Sasa
- Physical review. E, Statistical, nonlinear, and…
- 2006

The fluctuation-response relation is a fundamental relation that is applicable to systems near equilibrium. On the other hand, when a system is driven far from equilibrium, this relation is violated in general because the detailed-balance condition is not satisfied in nonequilibrium systems. Even in this case, it has been found that for a class of Langevin… (More)

(a) 77 fps (13ms), 32 IBL rays per sample (b) 25 fps (39ms), 32 IBL rays per sample (c) Foveated sampling (d) Other rendering results Figure 1: (a) Our method with 6.7M triangles Rungholt scene. 55K shaded samples. Inset picture was taken through the lens of the Oculus Rift HMD. (b) Na¨ıve ray tracing. 1M shaded samples. Visual quality in our method is… (More)

We demonstrate that a Langevin equation that describes the motion of a Brownian particle under non-equilibrium conditions can be exactly transformed to a special equation that explicitly exhibits the response of the velocity to a time dependent perturbation. This transformation is constructed on the basis of an operator formulation originally used in… (More)

- Takahiro Harada
- Physical review. E, Statistical, nonlinear, and…
- 2009

A direct connection between the magnitude of the violation of the fluctuation response relation (FRR) and the rate of energy dissipation is presented in terms of field variables of nonequilibrium systems. Here, we consider the density field of a colloidal suspension either in a relaxation process or in a nonequilibrium steady state driven by an external… (More)

- Takahiro Harada, Tomomi Yokogawa, Tomoshige Miyaguchi, Hiroshi Kori
- Biophysical journal
- 2009

In various kinds of cultured cells, it has been reported that the membrane potential exhibits fluctuations with long-term correlations, although the underlying mechanism remains to be elucidated. A cardiac muscle cell culture serves as an excellent experimental system to investigate this phenomenon because timings of excitations can be determined over an… (More)

- Takahiro Harada, Shin-ichi Sasa
- Mathematical biosciences
- 2007

A novel equality relating the rate of energy dissipation to a degree of violation of the fluctuation-response relation (FRR) in non-equilibrium Langevin systems is described. The FRR is a relation between the correlation function of the fluctuations and the response function of macroscopic variables. Although it has been established that the FRR holds in… (More)

- Makito Miyazaki, Takahiro Harada
- The Journal of chemical physics
- 2011

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… (More)

Fluctuations in the spontaneous beating activity of isolated cardiac cells were studied over a timescale of six decades. The beat dynamics of single cardiac cells were heterogeneous and intermittent. The interbeat intervals (IBIs) were power-law distributed in a long-time regime. Furthermore, for long timescales up to the experimental window, the… (More)

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