Try the environmental tolerances of pH.
My idea is to obtain a pH coefficient from the pH tolerance of organisms and the environmental pH, which will be multiplied by the size/surface area of cells to obtain the Osmogulation Consumption/Maintain shape consumption.
This allows the coefficient to not have a significant impact on ATP consumption when the size is small.
This model should also be applicable to temperature.
Features:
1.The most suitable pH(x0) coefficient is the smallest and increases towards both ends.
2.The width of the adaptation zone(w/M) is negatively correlated with the decrease of the coefficient(1/w) in the adaptation zone.
3.Allowing small cells(s<S) to have the ability to design the most suitable pH(p), bringing the most suitable pH of large cells(s>S) closer to 7.
This reminds me of how bacteria secrete in extracellular digestive enzymes, and without phagocytic ability, they digest in extracellular.
The role of Siderophores seems to be to enrich trivalent iron ions as raw materials for protein synthesis, rather than the current energy production behavior of oxygen oxidation of divalent iron in games (iron bacteria). The trivalent iron ions would actually be more like phosphate and ammonia as growth and reproduction materials, or using trivalent iron ions instead of oxygen to oxidize glucose and sulfur (Iron respiration).