Stochastic modeling in nanoscale biophysics: Subdiffusion within proteins
By Samuel C. Kou. 2008
203 citations recorded by the source corpus.
Advances in nanotechnology have allowed scientists to study biological processes on an unprecedented nanoscale molecule-by-molecule basis, opening the door to addressing many important biological problems. A phenomenon observed in recent nanoscale single-molecule biophysics experiments is subdiffusion, which largely departs from the classical Brownian diffusion theory. In this paper, by incorporating fractional Gaussian noise into the generalized Langevin equation, we formulate a model to describe subdiffusion. We conduct a detailed analysis of the model, including (i) a spectral analysis of the stochastic integro-differential equations introduced in the model and (ii) a microscopic derivation of the model from a system of interacting particles. In addition to its analytical tractability and clear physical underpinning, the model is capable of explaining data collected in fluorescence studies on single protein molecules. Excellent agreement between the model prediction and the single-molecule experimental data is seen.
Subfields: Atomic and Molecular Physics, and Optics, Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b1d6e3d6538d4b943d609dd2499478b5658cf279
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In Atomic and Molecular Physics, and Optics
In Modeling and Simulation
In Statistical and Nonlinear Physics
Citations in the corpus
- Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview (2018, background): “These experimental studies cover an extremely broad and diverse range of important practical applications in engineering, physics, biology and finance, including electron transport in Xerox photocopier [91], visco-elastic materials [7, 27], thermal diffusion in fractal domains [84], column experimen”
- Stochastic models of intracellular transport (2013, background): “The reasons are two-fold: (i) there are already a number of comprehensive reviews of such models (Kou, 2008; Mandelbrot and Ness, 1968; Metzler and Klafter, 2000; Scher and Montroll, 1975; Tothova et al., 2011), and (ii) it is still unclear to what extent intracellular diffusion is anomalous in the…”