Protein Aggregation & Fibril Growth
Nucleation kinetics, secondary nucleation & amyloid assembly
Kinetic Parameters
Monomer conc. c₀:
1.00
Primary nucleation kₙ:
0.50
Elongation k₊:
1.00
Secondary nucleation k₂:
0.30
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State
Free monomers:
100%
Fibrils:
0
Aggregated:
0%
Time:
0
Key Equations
Nucleation: dN/dt = kₙ·cⁿᶜ
Growth: dm/dt = 2k₊·M·P
Secondary: dP/dt += k₂·cⁿ₂·M
t₁/₂ ≈ (ln2/√(2k₊·k₂))·c₀⁻ⁿ (Knowles)