This calculator estimates the maximal specific rate of Gibbs energy production (qmaxG) from a thermodynamic perspective, as described by J.J. Heijnen.
The formula is derived assuming energy limitation and is based on the maximal electron transport rate adjusted for temperature:
qmaxG = 3 * (-ΔGCAT / γd) * exp[ - (69000 / R) * ( (1 / T) - (1 / 298) ) ]
Where:
- qmaxG: Maximal specific rate of Gibbs energy production (kJ C-mol⁻¹ X h⁻¹).
- 3: Maximal electron transport rate at 298 K (mol e⁻ C-mol⁻¹ X h⁻¹).
- (-ΔGCAT / γd): Catabolic Gibbs energy release per transferred mole of electrons (kJ/mol e⁻).
- T: Temperature (Kelvin).
- 69000: Activation energy-like term (J/mol).
- R: Ideal gas constant (8.314 J/mol·K).
- 298: Reference temperature (Kelvin).
This relation links the maximal rate of energy generation to the thermodynamic driving force per electron and the temperature-dependent capacity of the cell's electron transport system.