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Identifiability and sensitivity analyses for a chronic myelogenous leukemia model with t cell interaction

We perform a local sensitivity study taking into account the variation of the parameters and initial conditions applied to a model governing the chronic myelogenous leukemia (CML) evolution, a cancer of the white blood cells. The interaction mechanism between naïve T cells, effector T cells, and CML cancer cells in the body is modeled by a system of ordinary differential equations which defines rates of variation for the three cell populations. Using QR factorization with column pivoting to the relative sensitivity matrix, we compute the relative identifiability and sensitivity of the parameters and establish orderings with respect to their identifiability. Numerical simulations corresponding to three scenarios (CML cells under control, high CML cell counts, and reduction and relapse or rebound CML) are presented.