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Guiding self-organized pattern formation in cell polarity establishment
A study of how single C. elegans cells establish the polarity required for cell division reveals a general principle for pattern formation in living systems controlled by biochemical cues, including a general criterion for controlling biological pattern-forming systems.
Parameter-space topology of models for cell polarity
Reaction–diffusion systems have been widely successful in the theoretical description of biological patterning phenomena, giving rise to numerous models based on differing mechanisms, mathematical
How Active Mechanics and Regulatory Biochemistry Combine to Form Patterns in Development.
The multifaceted role of mechanics in pattern formation is highlighted, from protein and cell sorting to the generation of tissue shape and on to mechanochemical feedback, where signaling proteins can establish patterns via coupling to the activity of the cytoskeleton.
Pulsatory Patterns in Active Fluids
This study provides a simple generic mechanism for oscillatory patterns in active fluids by showing that pulsatory patterns arise in thin active films in which two chemical species regulate active stress.
Steady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimension
We investigate the motion of a run-and-tumble particle (RTP) in one dimension. We find the exact probability distribution of the particle with and without diffusion on the infinite line, as well as
Minimal Model of Cellular Symmetry Breaking.
It is shown that coupling of the active surface to a passive bulk fluid enables spontaneous polarization and the formation of a contractile ring on the surface via mechanochemical instabilities.
Active elastic dimers: self-propulsion and current reversal on a featureless track.
A Brownian inchworm model of a self-propelled elastic dimer in the absence of an external potential that connects three key nonequilibrium features -- position-velocity correlations, a nonzero mean internal force, and a drift velocity.
Classical Langevin dynamics of a charged particle moving on a sphere and diamagnetism: A surprise
It is generally known that the orbital diamagnetism of a classical system of charged particles in thermal equilibrium is identically zero —the Bohr-van Leeuwen theorem. Physically, this null result
Steady state of an active Brownian particle in a two-dimensional harmonic trap.
We find an exact series solution for the steady-state probability distribution of a harmonically trapped active Brownian particle in two dimensions in the presence of translational diffusion. This