Non-homogeneous Random Walks, Subdiffusive Migration of Cells and Anomalous Chemotaxis

A toy model of fractal glioma development under RF electric field treatment

(2012) A. Iomin   EUROPEAN PHYSICAL JOURNAL E

Density-dependent dispersal and population aggregation patterns

(2012) Vicenç Méndez et al.   JOURNAL OF THEORETICAL BIOLOGY

Fronts in anomalous diffusion-reaction systems

(2012) V. A. Volpert et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Mean-field descriptions of collective migration with strong adhesion

(2012) Stuart T. Johnston et al.   PHYSICAL REVIEW E

On a fractional linear birth–death process

(2011) Enzo Orsingher et al.   BERNOULLI

Integrin  5 1 facilitates cancer cell invasion through enhanced contractile forces

(2011) C. T. Mierke et al.   JOURNAL OF CELL SCIENCE

Propagation of a subdiffusion reaction front and the “aging” of particles

(2011) V. P. Shkilev   JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS

Collective behavior of brain tumor cells: The role of hypoxia

(2011) Evgeniy Khain et al.   PHYSICAL REVIEW E

Subdiffusion, chemotaxis, and anomalous aggregation

(2011) Sergei Fedotov   PHYSICAL REVIEW E

Non-Markovian models for migration-proliferation dichotomy of cancer cells: Anomalous switching and spreading rate

(2011) Sergei Fedotov et al.   PHYSICAL REVIEW E

Fractional chemotaxis diffusion equations

(2010) T. A. M. Langlands et al.   PHYSICAL REVIEW E

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

From Microscopic to Macroscopic Descriptions of Cell Migration on Growing Domains

(2009) Ruth E. Baker et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Anomalous reaction-transport processes: The dynamics beyond the law of mass action

(2008) Daniel Campos et al.   PHYSICAL REVIEW E

Probabilistic approach to a proliferation and migration dichotomy in tumor cell invasion

(2008) Sergei Fedotov et al.   PHYSICAL REVIEW E

Reaction-subdiffusion equations for theA⇌Breaction

(2008) F. Sagués et al.   PHYSICAL REVIEW E

Anomalous dynamics of cell migration

(2008) P. Dieterich et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA