| Abstract: |
| We present and analyse a mathematical model describing tumor-immune interactions.
The model incorporates the effects of adoptive cellular immunotherapy and includes a delay term accounting for the time lag in the adaptive immune response following tumor recognition.We also consider a non-autonomous extension modelling time-dependent targeted therapy. We investigate the qualitative behaviour of the model, including well-posedness, equilibrium states and their stability, and analyse how the delay and therapy influence the system dynamics. In particular, we show that the delay may induce stability switches, while time-dependent therapies can significantly affect the long-term behaviour of the solutions. Numerical simulations are presented to illustrate the theoretical results and to investigate the impact of the targeted therapy, supported by parameter estimation from experimental data.
This is joint work with Laid Boudjellal and Maria Joana Torres. |
|