Chemistry

The registered models of skcomplex.models.chemistry. The page of each shows its factory, its component types with their states, parameters, and laws as written, and, for the forms that have them, its equations as SymbolicAnalysis returns them, so it serves as the pattern for a model of your own.

Kinetics

• Bistability on a catalyst pellet: The surface concentration of a catalyst pellet, bistable through Langmuir-Hinshelwood kinetics.
• Brusselator ODE: The well-mixed Brusselator, which oscillates on a limit cycle when b > 1 + a**2.
• Chemical Langevin equation of the Schlögl reaction: The chemical Langevin equation of Schlögl's bistable reaction, whose noise switches between two states.
• Chemical Langevin equation of the enzyme network: The chemical Langevin equation of the enzyme reaction E + S <-> C -> E + P.
• Cubic autocatalysis: Cubic autocatalysis A + 2B -> 3B with the decay B -> C in a continuously fed reactor.
• Cyclic cellular automaton: Griffeath's cyclic cellular automaton, whose random levels organize into spiral waves.
• Hodgepodge machine: The hodgepodge machine, a model of a chemical reaction whose waves form spirals.
• Michaelis-Menten as ODEs and as a jump process: The enzyme reaction E + S <-> C -> E + P of Michaelis and Menten, as rate equations or as jumps.
• Oregonator: The scaled Oregonator, the reduction of the FKN mechanism of the Belousov-Zhabotinsky reaction.
• Protein corona binding on a nanoparticle: The corona that albumin, high-density lipoprotein, and fibrinogen form on a nanoparticle in plasma.
• Pulsed electrochemical reactor: A stirred electrochemical reactor whose electrode is driven by a train of current pulses.

Pattern formation

• Brusselator fields: The Brusselator reaction-diffusion model from small noise around its steady state (a, b / a).
• Gray-Scott: The Gray-Scott reaction-diffusion model, seeded in its middle, which grows spots that replicate.
• Schnakenberg: The Schnakenberg reaction-diffusion model, which forms Turing patterns from noise when Dv >> Du.