Shahrood University of Technology Journal of Solid and Fluid Mechanics 2251-9475 9 2 2019 06 22 Fuzzy optimal treatment of AIDS-related non-Hodgkin’s cancer Fuzzy optimal treatment of AIDS-related non-Hodgkin’s cancer 211 225 1560 10.22044/jsfm.2019.8170.2853 FA M. Nazari Assis. Prof., Mech. Eng., Shahrood Univ. of Tech., Shahrood, Iran. M. Farrokhi MSc student., Mech. Eng., Shahrood Univ. of Tech., Shahrood, Iran. M. Nazari PhD., Math. Sci., Shahrood Univ. of Tech., Shahrood, Iran. Journal Article 2019 03 07 The Aids-related non-Hodgkin’s lymphomas are the second most frequent cancer. A proposed treatment strategy should be implemented as short as possible. A long time treatment protocol not only devitalizes the immune system but also cause to drug resistance. It is observed in many cases that the immune system is able to diminish the tumor cells without any external treatment. Based on these, an extended model for cancer during the treatment has been proposed. A mixed chemo-immunotherapy proposed which the chemotherapy limits the tumor cell growth and the immunotherapy modifies the dynamics of the system. Hence, the equilibrium points of the system, their stabilities and the bifurcation of the system investigated. In order to obtain an optimal dose and considering the conditions of a patient the SDRE method combined with a fuzzy system. The simulation results show an efficient treatment should not only reduce the population of cancer cells but also must modify the dynamics of the system. The Aids-related non-Hodgkin’s lymphomas are the second most frequent cancer. A proposed treatment strategy should be implemented as short as possible. A long time treatment protocol not only devitalizes the immune system but also cause to drug resistance. It is observed in many cases that the immune system is able to diminish the tumor cells without any external treatment. Based on these, an extended model for cancer during the treatment has been proposed. A mixed chemo-immunotherapy proposed which the chemotherapy limits the tumor cell growth and the immunotherapy modifies the dynamics of the system. Hence, the equilibrium points of the system, their stabilities and the bifurcation of the system investigated. In order to obtain an optimal dose and considering the conditions of a patient the SDRE method combined with a fuzzy system. The simulation results show an efficient treatment should not only reduce the population of cancer cells but also must modify the dynamics of the system. https://jsfm.shahroodut.ac.ir/article_1560_fd53ce5bba23ed1af4655edaeed47bbe.pdf