This is the 2D companion to the 3D nanopillar simulator: the same physical model, viewed as a side cross-section of the pillar row instead of a rendered 3D array. A dense field of blunt nanopillars kills bacteria without any chemical — a cell landing across several tips partially adheres and sags into the gaps, stretching its own membrane until the stretch is severe enough that the membrane tears open on its own.
ε(h) = (h / S)² areal strain from sagging by h
across a pillar spacing S
T(h) = T₀ + Y·ε(h) membrane tension, Y ≈ 240 mN/m
(lipid-bilayer areal modulus)
dh/dt = k·(w − Y·ε(h)) overdamped settling toward the
adhesion/tension balance point
Rupture when T(h) ≥ T_lysis ≈ 8 mN/m
- Pillar spacing S — wider spacing means more membrane must bridge each gap for the same sag, so strain grows faster with h. Tighter arrays are gentler per-pillar but contact more of the cell at once.
- Pillar height H — caps how far the membrane can physically sag before it bottoms out on the pillar base.
- Adhesion energy w — how strongly the membrane's lipids are drawn onto the pillar material; at the settling equilibrium the extra tension gained is exactly w.
- Baseline tension T₀ — the membrane's resting tension before contact; a cell already taut needs far less adhesion to cross the lysis threshold.
- Drag to pan, scroll to zoom — the cross-section is wider than one screen once several pillars and all five bacteria are laid out; the membrane line drawn over the pillar tips is the same sagging surface each cell individually pushes down, drawn here as a visible dip rather than an abstract number.
This is the working mechanism behind mechano-bactericidal insect-wing nanostructures and the antibacterial nanotextured titanium/silicon coatings engineered to mimic them — no antibiotic, no silver ion, just geometry.