arXiv subjects

Ryo Okabe

Publications and source records attributed to Ryo Okabe.

3 recordsLinked to original sources

arXiv2026

IEPDYN: Integral-equation formalism of population dynamics

We propose the integral-equation formalism of population dynamics (IEPDYN) to describe the population dynamics of distinct configurational states. According to classical reaction dynamics theory, the probability density associated with a given state obeys the Liouville equation, including influx from and efflux to neighboring states. By introducing a Markov approximation for the crossing of boundaries separating the states, tractable integral equations governing the state populations are derived. Once the time-dependent quantities appearing in these equations are evaluated, the population dynamics on long timescales can be obtained. Because these quantities depend only on a few states in the local neighborhood of a given state, they can be computed using a set of short-timescale molecular dynamics (MD) simulations. The IEPDYN method is formulated in continuous time and therefore does not rely on a coarse-grained timescale (lag time). Consequently, kinetic quantities obtained from IEPDYN are free from lag-time dependence, which has been discussed as a limitation in other approaches. We apply the IEPDYN method to the binding and unbinding kinetics of CH$_4$/CH$_4$, Na$^+$/Cl$^-$, and 18-crown-6-ether (crown ether)/K$^+$ in water. For both kinetics, the time constants estimated from the IEPDYN method are almost comparable to those obtained from brute-force MD simulations. The required timescale of each MD trajectory in the IEPDYN method is approximately two orders of magnitude shorter than that in the brute-force MD approach in the crown ether/K$^+$ system. This reduction in the trajectory timescale enables applications to complex binding and unbinding systems whose characteristic timescales are far beyond those directly accessible by brute-force MD simulations.

physics.chem-ph↗

arXiv2025

Characterizing the embedded states of a fluorescent probe within a lipid bilayer using molecular dynamics simulations

The physicochemical properties of lipid bilayers (membranes) are closely associated with various cellular functions and are often evaluated using absorption and fluorescence spectroscopies. For instance, by employing fluorescent probes that exhibit spectra reflective of the surrounding membrane environment, one can estimate the membrane polarity. Thus, elucidating how such probes are embedded within the membranes would be beneficial for enabling a deeper interpretation of the spectra. Here, we apply molecular dynamics (MD) simulation with an enhanced sampling method to investigate the embedded state of 6-propionyl-2-dimethylaminonaphthalene (Prodan) within a membrane composed of 1,2-dioleoyl-sn-glycero-3-phosphocholine (DOPC), as well as its variation upon the addition of ethanol as a cosolvent to the aqueous phase. In the absence of ethanol, it is found that the bulky moieties of Prodan (propionyl and dimethylamine groups) prefer to be oriented toward the membrane center owing to the voids existing near the center. The structural change in the membrane induced by the addition of ethanol causes a reduction in the void population near the center, resulting in a diminished orientation preference of Prodan.

cond-mat.soft↗

arXiv2024

A methodology of quantifying membrane permeability based on returning probability theory and molecular dynamics simulation

We propose a theoretical approach to estimate the permeability coefficient of substrates (permeants) for crossing membranes from donor (D) phase to acceptor (A) phase by means of molecular dynamics (MD) simulation. A fundamental aspect of our approach involves reformulating the returning probability (RP) theory, a rigorous bimolecular reaction theory, to describe permeation phenomena. This reformulation relies on the parallelism between permeation and bimolecular reaction processes. In the present method, the permeability coefficient is represented in terms of the thermodynamic and kinetic quantities for the reactive (R) phase that exists within the inner region of membranes. One can evaluate these quantities using multiple MD trajectories starting from phase R. We apply the RP theory to the permeation of ethanol and methylamine at different concentrations (infinitely dilute and 1 mol% conditions of permeants). Under the 1 mol% condition, the present method yields a larger permeability coefficient for ethanol ($0.12 \pm 0.01 ~\mathrm{cm~s^{-1}}$) than for methylamine ($0.069\pm 0.006~\mathrm{cm~s^{-1}}$), while the values of the permeability coefficient are satisfactorily close to those obtained from the brute-force MD simulations [$0.18\pm 0.03 ~\mathrm{cm~s^{-1}}$ and $0.052 \pm 0.005 ~\mathrm{cm~s^{-1}}$ for ethanol and methylamine, respectively]. Moreover, upon analyzing the thermodynamic and kinetic contributions to the permeability, we clarify that a higher concentration dependency of permeability for ethanol, as compared to methylamine, arises from the sensitive nature of ethanol's free-energy barrier within the inner region of the membrane against ethanol concentration.

cond-mat.soft↗