  We present a continuum model trained on molecular dynamics (MD) simulations
for cellular membranes composed of an arbitrary number of lipid types. The
model is constructed within the formalism of dynamic density functional theory
and can be extended to include features such as the presence of proteins and
membrane deformations. This framework represents a paradigm shift by enabling
simulations that can access length scales on the order of microns and time
scales on the order of seconds, all while maintaining near fidelity to the
underlying MD models. These length and time scales are significant for
accessing biological processes associated with signaling pathways within cells.
Membrane interactions with RAS, a protein implicated in roughly 30% of human
cancers, are considered as an application. Simulation results are presented and
verified with MD simulations, and implications of this new capability are
discussed.
