Dynamics of periodic pattern formation

Modeling Periodic Aspect of Limb Pattern Formation

Dynamics of pattern formation in bacterial swarms

To gain a more thorough understanding of the dynamics of swarming bacteria, a nonlabeled cell tracking algorithm was used to study the velocity field of flagellated bacteria, Serratia marcescens, swarming on a soft agar plate. The average velocities for local regions regularly arranged over the entire flow field were investigated. The velocity field of the bacteria typically featured the combin...

Pattern Formation and Dynamics in Nonequilibrium Systems

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Non-equilibrium Ordering Dynamics and Pattern Formation

Bloch waves, periodic feature maps, and cortical pattern formation.

Perturbation methods are used to solve the eigenvalue problem for cortical pattern formation in the presence of long-range neural connections. Such connections have a crystallinelike structure that breaks Euclidean symmetry to the discrete symmetry of a planar lattice group. Conditions for marginal stability are derived with the associated eigenmodes identified as Bloch waves.