Effects of the obesity on optimal control schedules of chemotherapy on a cancerous tumor

A Dynamic Simulation of the Immune System Response to Inhibit and Eliminate Abnormal Cells

“…These processes were interrupted in the immune-unhealthy diet model, in which the interaction between the immune cells and abnormal cells failed to eliminate the abnormal cells and also led to a decrease in immune cells. Thereafter, the abnormal cells succeeded in coexisting with the normal cells; this type of coexistence might trigger cancer [5,20,22,24,26,40]. On the basis of the analysis and simulation of the IHDM and the IUNHDM, we can infer that the process of elimination or inhibition of abnormal cells by the immune system is affected by two main parameters, namely, η and µ.…”

“…Additionally, they presented the effects of obesity on the optimal control program of chemotherapy. This model differs from that of De Pillis and Radunskaya [23] by adding a dynamic equation related to stored fat [24]. Other studies have presented models regarding drug therapy which contribute to decision making and early cancer treatment [25].…”

Stability of Cancerous Chemotherapy Model with Obesity Effect

“…In 2015, Ku-Carrillo, Delgadillo, and Chen-Charpentier construct mathematics model for the effect of the obesity on cancer growth and on the immune system response [3]. And the next year, they do research on the effect of the obesity on optimal control schedules of chemotherapy on a cancerous tumor [4]. This paper orginized as follows.…”

Optimal sliding mode control of drug delivery in cancerous tumour chemotherapy considering the obesity effects

“…A mathematical model that considers the number of fat cells, without the effect of the drug injection, is fully described in [9]. Recently, a state‐space model considering fat cell interactions and drug injection was proposed in [10].…”

“…Moreover, the optimal controllers proposed in several papers are open loop and the applicability of such controllers are not assured [10, 19]. These papers aims to design an optimal sliding model controller to the recent fifth‐order state‐space model [10]. Such controller is not only robust to uncertainties but also proposes a closed‐loop strategy for chemotherapy.…”