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Laboratorio de Biología Estructural y Molecular BEM, Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425 Ñuñoa, Santiago, 7800003, Chile; Laboratorio de Biotecnología Vegetal y Ambiental Aplicada, Universidad Tecnológica Metropolitana, Santiago, Chile.

FtsZ is a bacterial protein that plays a crucial role in cytokinesis by forming the Z-ring. This ring acts as a scaffold to recruit other division proteins and guide the synthesis of septal peptidoglycan, which leads to cell constriction. In its native state, the FtsZ protein from Escherichia coli (EcFtsZ) is a multi-oligomer comprising dimers, trimers, tetramers, and hexamers in a dynamic self-association equilibrium depending on its concentration.

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We present a two-phase field model and a hybrid particle-phase field model to simulate dilute colloidal sedimentation and flotation near a liquid-gas interface (or fluid-fluid interface in general). Both models are coupled to the incompressible Stokes equation, which is solved numerically using a combination of sine and regular Fourier transforms to account for the no-slip boundary conditions at the boundaries. The continuum two-phase field model allows us to analytically solve the equilibrium interfacial profile using a perturbative approach, demonstrating excellent agreement with numerical simulations.

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