Reaction-subdiffusion model of morphogen gradient formation

Modelling the Bicoid gradient

(2010) O. Grimm et al.   DEVELOPMENT

Reaction-subdiffusion and reaction-superdiffusion equations for evanescent particles performing continuous-time random walks

(2010) E. Abad et al.   PHYSICAL REVIEW E

Non-Markovian random walks and nonlinear reactions: Subdiffusion and propagating fronts

(2010) Sergei Fedotov   PHYSICAL REVIEW E

Bacterial Chromosomal Loci Move Subdiffusively through a Viscoelastic Cytoplasm

(2010) Stephanie C. Weber et al.   PHYSICAL REVIEW LETTERS

Scaling of morphogen gradients by an expansion-repression integral feedback control

(2010) D. Ben-Zvi et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Development of anomalous diffusion among crowding proteins

(2010) Margaret R. Horton et al.   Soft Matter

How Subdiffusion Changes the Kinetics of Binding to a Surface

(2009) Irwin M. Zaid et al.   BIOPHYSICAL JOURNAL

Fgf8 morphogen gradient forms by a source-sink mechanism with freely diffusing molecules

(2009) Shuizi Rachel Yu et al.   NATURE

Morphogen profiles can be optimized to buffer against noise

(2009) Timothy E. Saunders et al.   PHYSICAL REVIEW E

Survival probability of a subdiffusive particle in ad-dimensional sea of mobile traps

(2009) R. Borrego et al.   PHYSICAL REVIEW E

Fractional Brownian Motion Versus the Continuous-Time Random Walk: A Simple Test for Subdiffusive Dynamics

(2009) Marcin Magdziarz et al.   PHYSICAL REVIEW LETTERS

Elucidating the Origin of Anomalous Diffusion in Crowded Fluids

(2009) Jedrzej Szymanski et al.   PHYSICAL REVIEW LETTERS

Morphogen Gradient Formation

(2009) O. Wartlick et al.   Cold Spring Harbor Perspectives in Biology

Crowding Effects on Diffusion in Solutions and Cells

(2008) James A. Dix et al.   Annual Review of Biophysics

Fluorescence Recovery after Photobleaching: The Case of Anomalous Diffusion

(2008) Ariel Lubelski et al.   BIOPHYSICAL JOURNAL

Theoretical and experimental approaches to understand morphogen gradients

(2008) Marta Ibañes et al.   Molecular Systems Biology

Continuous-time random walks with internal dynamics and subdiffusive reaction-diffusion equations

(2008) S. Eule et al.   PHYSICAL REVIEW E

Turing instability in reaction-subdiffusion systems

(2008) A. Yadav et al.   PHYSICAL REVIEW E

Stationary Fronts in anA+B→0Reaction under Subdiffusion

(2008) Daniela Froemberg et al.   PHYSICAL REVIEW LETTERS

Random Time-Scale Invariant Diffusion and Transport Coefficients

(2008) Y. He et al.   PHYSICAL REVIEW LETTERS