Three MEDYAN-style mechanochemical simulations wrapped as process-bigraph Processes. Each scenario explores a distinct cytoskeletal regime — treadmilling polymerization, actomyosin contractility, and dendritic crosslinked meshes — with semi-flexible filaments, force-sensitive Brownian-ratchet kinetics, Hill-style myosin motors, and alpha-actinin tethers.
ATP-driven actin treadmill near steady state
Twelve actin filaments seeded near critical G-actin concentration. Plus (barbed) ends polymerize while minus (pointed) ends slowly depolymerize, producing the characteristic ATP-actin treadmill. No motors or crosslinkers — the network is a passive sea of semi-flexible polymers under Brownian-ratchet kinetics.
Myosin II minifilaments compact a crosslinked actin gel
Fifteen filaments embedded in alpha-actinin crosslinkers and driven by myosin II minifilament motors that walk toward plus ends with Hill-style force-velocity (stall force Fs = 8 pN). The Brownian-ratchet polymerization slows under load while motor pulling drives global network compaction — the hallmark mode of cellular force generation.
Polymerizing actin pushes a deformable membrane outward
Eighteen actin filaments seeded radially inside a closed icosphere vesicle. Plus-end polymerization drives each tip into the membrane, where contact forces transmit Brownian-ratchet feedback: the membrane locally bulges outward into filopodia-like protrusions while the lipid bilayer (modeled as edge-spring elasticity plus Laplacian bending) resists global expansion. This is the canonical mechano-chemical coupling that generates lamellipodia, filopodia, and microvilli in real cells.
Dense passive crosslinker network under net polymerization
Twenty-five short filaments grow into a densely crosslinked mesh. With high alpha-actinin density and no motors, the network behaves as a passive elastic gel — bending forces compete with crosslinker tethering and net plus-end growth. This regime models lamellipodial / dendritic networks in migrating cells.