"I have been increasing the max pressure gradually. When I have tried to set a higher max pressure too fast, I experience headaches in the morning. I also feel that if I base the max pressure on the # CPAP Recorded AHI (7.87) rather than the # Manual Filtered AHI (4.46), I may set the max pressure too high. Can you comment on this please?"
It is prudent to increase the pressure in small steps. I think 1 cm steps are reasonable, but if you are having issues, then do less than that. Pressure is typically adjusted based on when you are having apnea events. You can expand the scale by clicking on the area of interest and using the up and down arrow keys, or repeatedly left clicking. What I am seeing with the level of detail I can see, is that the large majority of your OA events are occurring at the maximum pressure of 9.6 cm. I would expect the machine would go higher but it is being limited by your 9.6 cm max pressure setting. The machine can go up to 20 cm, but that is a high pressure and not usually comfortable. The trick is to reduce the OA events with as little pressure as possible. Everyone is different, but I can pretty much stop my OA events at a pressure of 11 cm.
Can you estimate what the optimal max pressure should be, judging from the median (8.64) or 95% (9.56) measures? I realize the max pressure of 9.6 in the attached daily example is too low and acts as a ceiling for the 95% and 99.5% measures.
It is not currently possible to estimate it because your maximum pressure is being limited. If you had a higher maximum pressure the 95% pressure number is a rough estimate of what fixed pressure you could use in CPAP mode.
Is the goal for the 99.5% measure to never reach the max pressure?
The real objective is to reduce the frequency of OA events to a reasonable number. The overall AHI treatment objective is to be less than 5 for AHI, but many people can achieve less than 1.0 for AHI.
Can you tell from the Time at Pressure chart approximately how much higher the max pressure should be set? In the graph, Time at Pressure for 9.6 (max pressure) = 44 minutes.
I don't use that time at pressure chart at all. I just look at the pressure when each OA event occurs.
"Can you help me understand why the proportion of apneas is inverted between the in-lab with no CPAP (more central apneas) and the at-home with CPAP (more obstructive apneas)?"
No, the numbers you got on the sleep study are very strange compared to your CPAP treatment numbers. Normally what happens is that CA events are low in the sleep study, but then emerge when CPAP treatment at pressure is started. Your pattern seems to be the reverse. Your very high CA index in the study is a red flag. It is usually very hard to treat central apnea with a CPAP as the CPAP reduces obstructive apnea with pressure, and pressure often makes central apnea worse. I don't understand what you have. Your CPAP reported central apnea is quite good, but your obstructive apnea is too high. So, I don't understand it, but the numbers indicate you can reduce your OA frequency with more pressure. Or, if they are being induced by the head neck position, a soft collar may help too.
"Are at-home CPAP machines usually accurate in distinguishing between obstructive and central apneas?"
Both my sleep study and that of my wife's were done with at home kits - Phillips Alice NightOne. We have no reason to think that they were inaccurate. I was diagnosed with an AHI of around 37, and my wife at 83. Interestingly her AHI under treatment with a ResMed S9 is 0.58. I suffer from central apnea and I cannot get that low. But, with my latest adjustments I am getting 0.86 for AHI.
"Can you tell from flow rate patterns with some certainty when you are awake or asleep?"
That is not easy to do. If you expand the flow rate chart so you can see each breath you should see that each breath is regular and almost identical to each other when you are asleep. Another clue is the leak rate chart. Leaks generally occur when you are asleep. If you see the leak rate chart trending around zero it is a hint that you may be awake.
All in all, I would stick with my previous suggestion to increase the maximum and minimum pressure to see if things improve. I expect they will. Do it in steps that you are comfortable with. Post your Daily report with the increased settings and I can comment. The first chart you posted with the pressure, flow, etc is enough. At this point you are mainly interested in the event chart and what the pressure is at when events occur.