In the first three steps of Aerobic Cellular Respiration, ATP and alternate energy carriers have been generated as follows:
So the question remains: how do we ultimately produce 38 ATP? To answer that question we look to The Electron Transport Chain. This last step of Cellular Respiration takes places along the Inner Membrane of the Mitochondria, and is where the alternate energy carriers NADH and FADH2 are converted into ATP.
As we learned in the earlier steps, when NAD+ is Reduced to form NADH it also gains high energy electrons (same in FADH2). These high energy electrons are shuttled along membrane proteins called Protein Complexes (I, II, III and IV) until they reach their final receptor: Oxygen (forming water). Each subsequent protein complex has a higher electronegativity, allowing the electrons to be pulled from the previous carrier (ex. from the NADH to complex I, and then from complex I to II, etc... With every transfer of electrons, a Redox Reaction occurs with one molecule being Oxidized (loses electron) and the other being Reduced (gains electron). Because of this, the ATP produced here is called Oxidatitive Phospholylation (as opposed to Substrate-level Phosphorylation in Glycolysis and the Krebs Cycle).
Protein Complexes I, III and IV are Transmembrane Proteins that are actually Protein Pumps. Each time an electron is passed through these complexes, they pump out an H+ ions from the Matrix into the Intermembrane Space (space between Inner and Outer membranes). NADH attaches at Protein Complex I and its electrons pass through III and IV pumping H+ ions into this space, creating an Electrochemical Gradient. FADH2 on the other hand attaches at Protein Complex II (a peripheral protein that is NOT a pump), and its electrons then pass to complex III and IV, pumping H+ ions at each site.
Now that this electrochemical gradient has been set up, we have a large number of H+ ions in the inner membrane space, causing a build up of potential energy. Since this gradient is able to harness this energy, we call it the Proton Motive Force. ATP is produced by a specialized protein pump appropriately named ATP Synthase. The flow of H+ through ATP Synthase is called Chemiosmosis. As this occurs, ADP is combined with an inorganic phosphate group to produce ATP!
To calculate the number of ATP produced we must look at how much H+ ions each energy carrier pumped into the innermembrane space. Since NADH began at Protein Complex I and passed through III and IV, it produces 3 ATP. FADH2 begins at Protein Complex II and then passes through III and IV, it only produces 2 ATP (as it bypassed Complex I).
In the first three steps of Aerobic Cellular Respiration we produced 4 ATP, 10 NADH and 2 FADH2. During The Electron Transport Chain and subsequent Chemiosmosis, these 10 NADH are converted into 30 ATP and the 2 FADH2 are converted to 4 ATP. Adding these to the earlier 4 ATP, we get a total of 38 ATP!
p.177-182# 3-10
Cristae increase the surface area of the Inner Membrane, allowing for thousands of protein complexes and ATP Synthase proteins to exist in a single Mitochondria!