A generalized model for predicting different morphologies of bacterial swarming on a porous solid surface

In this study, we develop a comprehensive two-phase model to analyze the dynamics of bacterial swarming on porous substrates. The two distinct phases under consideration are the cell and aqueous phases. We use the thin-film approximation, as the characteristic height of the swarm is significantly lower than its characteristic radius. Our model incorporates surfactant generation by microorganisms, drag forces between the cell and aqueous phases, osmotic influx, and Marangoni stresses. The disjoining pressure is included to account for substrate wettability, and a precursor film is used to address the contact line singularity. Several morphologies of bacterial swarms, such as arrested, circular, modulated, branching, droplet, fingering, and dendrite, have been observed experimentally. The model developed is capable of predicting all these shapes for realistic parameter values. An increase in the wettability of the substrate leads to faster expansion, while increased surface tension helps redistribute biomass radially. The role of biomass growth and surfactant production rate, surfactant diffusivity, and osmotic influx on the morphology of bacterial swarms are explained.