Jesse, have a look at the three models (all of them are identical, just phrased differently, math-wise) shown here. Take the case where saturation is taking place. Follow the math. See where it takes you. Those models are DC-complete. Both saturation and active mode are completely handled in the exact same models. No changes. Everything just works right. It's just that most of us break it into two parts and use two different ideas. The link there puts everything into a single, slightly more complex, idea.
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