Average is when driving about 55m/h your inside tire temp goes up to about 45degrC/112degrF when AmbiŽnt temp is 18 degrC/65degrF.
this makes the pressure rise by about 10 to 11% .
Exessive braking can heat up the tires inside temp more up to 100 degr C/212 degr F even incidentially , wich highens up the pressure more , a good 20% even.
Also sunshine on the black tire can rise the inside temp and by that pressure.
Maximum load of tires is determined by tiremakers to give the tires rubber not to high temp so it hardens and crackes in next bendings.
For lower speed less cicles a minute , so more heatproduction a cycle is allowed to have still no overheating of rubber.
Made several tabels to look back in , and will give one here.
Idea is to first determine the pressure filled cold and AmbiŽnt temp at that filling. Then determine AmbiŽnt temp when driving , and if speed that 55m/h add 112-65= about 47 degrF to that AmbiŽnt temp to get the warm inside tire temp , and read the warm pressure of tire in the list.
If your TMPS gives higher pressure or temp, you have to low pressure, so to much deflection so to much heatproduction. Then highen up the cold pressure to get lower inside tire temp and by that lower temp of rubber.
I estimated the highest temp the rubber is allowed to be about 130 degr C/??F , and mind the rubber is warmer then the tire inside gascompound, otherwise it can not transport the energy if there is no temp difference.
Lower temp inside tire is not a problem, but if pressure is to high , you will get bumping.
trick is to keep pressure between the damage and bumping border, best close to the bumping border to give as much possible reserve, so to the highest pressure border.
If you provide me with the needed data , I can calculate that for you.
Use my made spreadsheet for that , in wich I use a saver formula then the officially used by the tiremakers, and add a standard reserve of 10% to the weighed axle loads.
Here 2 lists, can make more if wanted.