Chemical Reaction Network
Stoichiometric matrix, null-space fluxes & steady-state concentrations
Network
Network:
Glycolysis (simplified)
Brusselator
Circadian oscillator
Lotka reactions
k₁ (rate 1):
1.0
k₂ (rate 2):
1.0
k₃ (rate 3):
2.0
Input flux v_in:
1.0
dc/dt = S·v(c)
Steady state: S·v* = 0
S ∈ ℝ^{m×n} stoich. matrix
Flux modes: null(S)
Conservation: l^T·c = const
Σ stoich invariants
Pause
Flux balance analysis finds steady-state flux distributions satisfying S·v=0. The null space of S contains all valid flux modes. Living cells operate near steady state; FBA is foundational to metabolic engineering.