Comput Math Methods Med - Delay differential model for tumour-immune response with chemoimmunotherapy and optimal control.

Tópicos

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Resumo

We present a delay differential model with optimal control that describes the interactions of the tumour cells and immune response cells with external therapy. The intracellular delay is incorporated into the model to justify the time required to stimulate the effector cells. The optimal control variables are incorporated to identify the best treatment strategy with minimum side effects by blocking the production of new tumour cells and keeping the number of normal cells above 75% of its carrying capacity. Existence of the optimal control pair and optimality system are established. Pontryagin's maximum principle is applicable to characterize the optimal controls. The model displays a tumour-free steady state and up to three coexisting steady states. The numerical results show that the optimal treatment strategies reduce the tumour cells load and increase the effector cells after a few days of therapy. The performance of combination therapy protocol of immunochemotherapy is better than the standard protocol of chemotherapy alone.

Resumo Limpo

present delay differenti model optim control describ interact tumour cell immun respons cell extern therapi intracellular delay incorpor model justifi time requir stimul effector cell optim control variabl incorpor identifi best treatment strategi minimum side effect block product new tumour cell keep number normal cell carri capac exist optim control pair optim system establish pontryagin maximum principl applic character optim control model display tumourfre steadi state three coexist steadi state numer result show optim treatment strategi reduc tumour cell load increas effector cell day therapi perform combin therapi protocol immunochemotherapi better standard protocol chemotherapi alon

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