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Cell Co-culture Patterning Using Aqueous Two-phase Systems
Published on: March 26, 2013
Generic two-phase coexistence in a type-2 Schloegl model for autocatalysis on a square lattice: Analysis via
Zheren Shen1,2, Da-Jiang Liu1, James W Evans1,2,3
1Ames National Laboratory - USDOE, Ames, Iowa 50011, USA.
Abstract:
Schloegl's second model (also known as the quadratic contact process) on a square lattice involves spontaneous annihilation of particles at lattice sites at rate p, and their autocatalytic creation at unoccupied sites with n≥2 occupied neighbors at rate k_{n}. Kinetic Monte Carlo (KMC) simulation reveals that these models exhibit a nonequilibrium discontinuous phase transition with generic two-phase coexistence: the p value for equistability of coexisting populated and vacuum states, p_{eq}(S), depends on the orientation or slope, S, of a planar interface separating those phases. The vacuum state displaces the populated state for p>p_{eq}(S), and the opposite applies for p
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