DLCM is a lattice-based stochastic solver for multicellular systems that introduces elliptic projection to couple cell pressure with population curvature for surface tension effects.
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The authors prove existence of travelling pulses in a toxicity-extended Klausmeier model by constructing homoclinic orbits via geometric singular perturbation theory in an asymptotic scaling regime and validate against numerics.
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DLCM: a versatile multi-level solver for heterogeneous multicellular systems
DLCM is a lattice-based stochastic solver for multicellular systems that introduces elliptic projection to couple cell pressure with population curvature for surface tension effects.
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Far-from-equilibrium travelling pulses in sloped semi-arid environments driven by autotoxicity effects
The authors prove existence of travelling pulses in a toxicity-extended Klausmeier model by constructing homoclinic orbits via geometric singular perturbation theory in an asymptotic scaling regime and validate against numerics.