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Anomalous transport and nonlinear reactions in spiny dendrites.
Fedotov S, Al-Shamsi H, Ivanov A, Zubarev A. Fedotov S, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Oct;82(4 Pt 1):041103. doi: 10.1103/PhysRevE.82.041103. Epub 2010 Oct 6. Phys Rev E Stat Nonlin Soft Matter Phys. 2010. PMID: 21230234
The main assumption is that the longer a particle survives inside spine, the smaller becomes the transition probability from spine to dendrite. We extend a linear model presented in Fedotov [Phys. Rev. Lett. 101, 218102 (2008)] and derive the nonlinear Master equations for …
The main assumption is that the longer a particle survives inside spine, the smaller becomes the transition probability from spine to dendri …
Subdiffusion, chemotaxis, and anomalous aggregation.
Fedotov S. Fedotov S. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Feb;83(2 Pt 1):021110. doi: 10.1103/PhysRevE.83.021110. Epub 2011 Feb 18. Phys Rev E Stat Nonlin Soft Matter Phys. 2011. PMID: 21405821
Random death process for the regularization of subdiffusive fractional equations.
Fedotov S, Falconer S. Fedotov S, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052139. doi: 10.1103/PhysRevE.87.052139. Epub 2013 May 29. Phys Rev E Stat Nonlin Soft Matter Phys. 2013. PMID: 23767519
The Gibbs-Boltzmann distribution is radically changed by even small spatial perturbations to the anomalous exponent [S. Fedotov and S. Falconer, Phys. Rev. E 85, 031132 (2012)]. To rectify this problem we propose the inclusion of the random death process in t …
The Gibbs-Boltzmann distribution is radically changed by even small spatial perturbations to the anomalous exponent [S. Fedotov
130 results