⟨KELLER-SEGEL CHEMOTAXIS⟩
Chemotactic sensitivity χ
5.0
Cell diffusion D_ρ
0.2
Signal diffusion D_c
1.0
Signal degradation α
0.5
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χ:
-
Max density:
-
Total mass M:
-
Time:
-
⚠ BLOWUP DETECTED ⚠
Keller-Segel system:
∂ₜρ = D_ρ∇²ρ − χ∇·(ρ∇c), ∂ₜc = D_c∇²c + ρ − αc. Chemotaxis = directed cell motion up chemical gradients. Critical mass threshold: if M > 8π/χ (2D), finite-time blowup (aggregation collapse). Color: cell density (blue→orange→white = low→high).