2018
DOI: 10.1103/physreve.98.032140
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Kinetic model for fluorescence microscopy experiments in disordered media with binding sites and obstacles

Abstract: A model is proposed that describes the diffusion of molecules in a disordered medium with binding sites (traps) and obstacles (barriers). The equations of the model are obtained using the subordination method. As the parent process, random walks on a disordered lattice are taken, described by the random barriers model. As the leading process, the renewal process that corresponds to the multiple-trapping model is taken. Theoretical expressions are derived for the curves obtained in experiments using fluorescenc… Show more

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Cited by 4 publications
(2 citation statements)
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References 24 publications
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“…Several methods have been proposed to infer diffusion parameters for several anomalous diffusion models. For the case of diffusion in disordered (fractal) media, Shkilev [70] proposes estimators that can be applied to SPT, FCS and FRAP. For the case of fractional Brownian motion, techniques to infer both the anomalous diffusion coefficient (α) and the generalized diffusion coefficient (D α ) have been proposed.…”
Section: Inferring Anomalous Diffusionmentioning
confidence: 99%
“…Several methods have been proposed to infer diffusion parameters for several anomalous diffusion models. For the case of diffusion in disordered (fractal) media, Shkilev [70] proposes estimators that can be applied to SPT, FCS and FRAP. For the case of fractional Brownian motion, techniques to infer both the anomalous diffusion coefficient (α) and the generalized diffusion coefficient (D α ) have been proposed.…”
Section: Inferring Anomalous Diffusionmentioning
confidence: 99%
“…However, this new context requires new solutions, since the nucleus is a complex environment where anomalous diffusion and interactions of different nature, like electrostatic, mechanical, chemical or volume exclusion interactions, are constantly happening between biomolecules. To resolve this issue, new computational models of chromatin (Figure 61a and b) and their relation with the dynamics of chromatin loci and transcription factors 200 , new algorithms to analyze the data 201 , like Bayesian approaches for connecting the dots of the trajectories 202 or new analytical tools to study molecules motion under weak ergodic conditions 85 (Figure 61c), are being developed. In our project, we provided a benchmark for the connection between experimental data obtained from localization-based microscopy and complex state of the art modelling of chromatin.…”
Section: Single Molecule Tracking (Smt) For Studying Transcription An...mentioning
confidence: 99%