1

Treadmilling Polymerization

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.

Filaments1212 → 12
Total Length19.433.00 → 19.43 μm
Network Span4.151.71 → 4.15 μm
Motors0
Crosslinks0
Energy6.99e-16
Snapshots31
Runtime0.8s

3D Network Viewer

Filaments cyan · Motors red · Crosslinks yellow
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Network Components
Actin filament
Myosin II motor
α-actinin crosslink
t = 0

Network Metrics & Energy

Bigraph Architecture

Bigraph architecture diagram

Composite Document

2

Actomyosin Contractility

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.

Filaments1515 → 15
Total Length7.616.00 → 7.61 μm
Network Span0.731.25 → 0.73 μm
Motors20
Crosslinks42
Energy5.78e+00
Snapshots31
Runtime2.4s

3D Network Viewer

Filaments cyan · Motors red · Crosslinks yellow
Drag to rotate · Scroll to zoom
Network Components
Actin filament
Myosin II motor
α-actinin crosslink
t = 0

Network Metrics & Energy

Bigraph Architecture

Bigraph architecture diagram

Composite Document

3

Vesicle Filopodial Protrusion

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.

Filaments1818 → 18
Total Length30.594.50 → 30.59 μm
Network Span5.411.22 → 5.41 μm
Motors0
Crosslinks0
Vesicle Vol0.7220.673 → 0.722
Mem Bending0.205
Energy2.90e-01
Snapshots36
Runtime2.4s

3D Network Viewer

Vesicle (translucent) wraps the network · Filaments cyan · Motors red · Crosslinks yellow
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Network Components
Actin filament
Myosin II motor
α-actinin crosslink
Lipid vesicle
t = 0

Network Metrics & Energy

Bigraph Architecture

Bigraph architecture diagram

Composite Document

4

Dendritic Crosslinked Mesh

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.

Filaments2525 → 25
Total Length20.287.50 → 20.28 μm
Network Span2.761.53 → 2.76 μm
Motors0
Crosslinks32
Energy3.63e-02
Snapshots31
Runtime1.9s

3D Network Viewer

Filaments cyan · Motors red · Crosslinks yellow
Drag to rotate · Scroll to zoom
Network Components
Actin filament
Myosin II motor
α-actinin crosslink
t = 0

Network Metrics & Energy

Bigraph Architecture

Bigraph architecture diagram

Composite Document