The original D(t) imbalance model (Papers 36–40) successfully unified acute critical illnesses (DKA, cytokine storm, MODS, etc.) using a first-order, memoryless differential equation. However, chronic, degenerative, and cumulative diseases (Alzheimer’s, COPD, Parkinson’s, silicosis) require historical dependency – damage built up over years. This paper extends D(t) with a fractional-order derivative and a power-law memory kernel, keeping the 9-Keel framework intact while covering a new class of diseases without rewriting the theory. This study is a pure theoretical analysis and does not involve clinical diagnosis, treatment, or medical guidance.
FOO SENG ANG (Wed,) studied this question.