Turing pattern obtained with the 5-variable Selkov model in two space dimensions.

<p>Stationary pattern in [<i>ATP</i>] achieved after 10 min from an initial condition randomly distributed around the Turing-unstable fixed point. White corresponds to [<i>ATP</i>] = 2.47 mM and black to 1.1 mM. The simulation was done for η = 1.3, ν = 0.0175, ε = 0.0005, α = 15, <i>K</i>₁ = 1500, <i>K</i>₃ = 1, and <i>d</i>₁ = <i>d</i>₂ = 0.01.</p

Behaviors predicted by the 5-variable Selkov model for different parameter values.

<p>(a) Glycolytic oscillations in <i>S</i>₁ (solid curve) and <i>S</i>₂ (dashed curve) for η = 0.15, ν = 0.00345, ε = 10⁻⁶, α = 15, <i>K</i>₁ = 1500, <i>K</i>₃ = 1. (b) Linear growth rate of the unstable modes as a function of the square of the wavenumber, <i>k</i> for η = 1.215, ν = 0.03, ε = 0.0003, α = 15, <i>K</i>₁ = 1500, <i>K</i>₃ = 1, and <i>d</i>₁ = <i>d</i>₂ = 0.01. Inset: Evolution of [<i>S</i>₁] in the spatially homogeneous case for the same parameter values. (c) Turing space (shadowed domain) as a function of the (dimensionless) input and output rates of <i>ATP</i> (ν) and <i>ADP</i> (η), for the same parameter values as in (b). (d) Predicted value of the wave-length of the most unstable mode at each point in the Turing space of (c).</p