I actually made a mod for Skyrim called “Skyrim Heart Rate”, that tried to do just that. The idea was to bring two new player variables to the game. “Heart Rate” and “Long Term Stamina”.
The player’s heart rate was affected by actions. This means that running sprinting and fighting raised your heart rate. Your heart rate didn’t rise instantly, it rised with a speed dependent on the action. Depending on what you were doing, the heart rate could rise to different levels. For example running may have made your heart rate rest at 140 BPM, and sprinting may have made it rest at 180 BPM. Of course you could also make it fall again, by taking a break, walk, or sit down for the biggest effect.
Then I introduced Long Term Stamina (I’ll call it LTS). LTS was dependent on heart rate, and only heart rate. This means, that when your heart rate was very high, LTS would drain quickly. LTS was a giant pool, so it would take you some time, to drain it all. If you wanted to recover it, you would have to take a break, to get your heart rate down, so your LTS would rise again. Then it would be a good idea to walk to your next location instead of running. That way you could still regenerate some LTS along the way.
Heart rate had a big impact on stamina regeneration, and a minor impact on total stamina. This is to simulate the concept of warming up. If you went into combat with a low heart rate, your in-game stamina would drain quickly, and take some time to regenerate. Of course you would get warmed up during the fight, and you would be at peak performance after a bit of activity. So a high heart rate would give you a bonus to total stamina and stamina regeneration.
LTS had a major impact on total stamina, and had some side-effects. Being at full LTS would give you a bonus to total stamina and a slight bonus to attack speed. As LTS falls, your total stamina would start to suffer, and at the lower levels, your vision would start to get blurry, your running speed would decrease, and your weapon speed as well. I was in the process of implementing dropping your weapon upon impact, falling in extreme sircumstances and other side effects, when I moved, and didn’t have a place for my gaming rig.
I plan to release a similar mod for KCD if the stamina model doesn’t suit me.

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