📒 Saa 2013

Modeling the ATP Production in Mitochondria1



Bertram, Pedersen, Luciani, and Sherman (BPLS) model is the simplification of Magnus and Keizer’s with some refinements introduced by Cortassa, 2003.

  • 4 state variables (NADH, ATP, Ca, ΔΨ)
  • some inaccuracies in the BPLS expressions while transcripting math expressions
    • ANT: adenine nucleotide translocator
    • Uni: calcium uniporter


The issues are fixed by the authers, hence the enhanced BPLS (eBPLS) model.

  • Glycolysis from fructose-1,6-bisphosphate (FBP), as a parameter to pyruvate dehydrogenase (PDH) rate
  • The same 4 state variable as those of BPLS
  • Normalized (dimensionless) quantities for evaluation of freqency response



Frequency response to oscillating cytosolic calcium with different amplitudes
Frequency response Under different concentrations of FBP

Discussion and conclusion

  • Simplifications from KM model, corrections for BPLS model.
  • The inertia of the system tends to increase considerably for high concentrations of cytosolic calcium and FBP.

My point of view

  • Seems not so physiologically sane for the ATP level dropped to zero sometimes.

  1. Saa A, Siqueira KM. Modeling the ATP production in mitochondria. Bull Math Biol. 2013 Sep;75(9):1636–51. ↩︎