24 citations · 24 across the 1 of their papers we have counts for
3 papers
cond-mat.stat-mech2013★ 24 cited
Nonlinear degradation enhanced transport of morphogens performing subdiffusion
Sergei Fedotov, Steven Falconer
We study a morphogen gradient formation under nonlinear degradation and subdiffusive transport. In the long time limit we obtain the nonlinear effect of degradation enhanced diffus…
cond-mat.stat-mech2012
Random death process for the regularization of subdiffusive anomalous equations
Sergei Fedotov, Steven Falconer
Subdiffusive fractional equations are not structurally stable with respect to spatial perturbations to the anomalous exponent (Phys. Rev. E 85, 031132 (2012)). The question arises…
cond-mat.stat-mech2011
Subdiffusive master equation with space dependent anomalous exponent: `Black Swan' effects
Sergei Fedotov, Steven Falconer
We derive the fractional master equation with space dependent anomalous exponent. We analyze the asymptotic behavior of corresponding lattice model both analytically and by Monte C…