Existence of non-zero stable tissue-damage equilibrium under differentiation-bias tuning

Ascertain whether, in the presented 12-variable hematopoiesis–inflammation ordinary differential equation model, varying the differentiation-bias ratio tau_Q:tau_U across all values guarantees the existence of a non-zero stable fixed point for the tissue-damage variable K under aseptic conditions (no pathogens).

Background

In the aseptic death scenario, the authors explore model behavior without pathogenic insult by increasing the ratio tau_Q:tau_U, which biases immature white blood cell differentiation toward the pro-inflammatory phenotype. They observe some simulations that stabilize and others that sustain heavy tissue damage throughout the runtime.

They explicitly note uncertainty about whether this differentiation-bias metric universally results in a non-zero stable fixed point for tissue damage, indicating an open question about the global parameter–equilibrium relationship and stability conditions within the model.