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Optimal treatment strategy for a tumor model under immune suppression.

Kim KS, Cho G, Jung IH - Comput Math Methods Med (2014)

Bottom Line: We propose a mathematical model describing tumor-immune interactions under immune suppression.To do this we have developed a system of 11 ordinary differential equations including the movement, interaction, and activation of NK cells, CD8(+)T-cells, CD4(+)T cells, regulatory T cells, and dendritic cells under the presence of tumor and cytokines and the immune interactions.Using optimal control theory and numerical simulations, we obtain appropriate treatment strategies according to the ratio of the cost for two therapies, which suggest an optimal timing of each administration for the two types of models, without and with immunosuppressive effects.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Pusan National University, Busan 609-735, Republic of Korea.

ABSTRACT
We propose a mathematical model describing tumor-immune interactions under immune suppression. These days evidences indicate that the immune suppression related to cancer contributes to its progression. The mathematical model for tumor-immune interactions would provide a new methodology for more sophisticated treatment options of cancer. To do this we have developed a system of 11 ordinary differential equations including the movement, interaction, and activation of NK cells, CD8(+)T-cells, CD4(+)T cells, regulatory T cells, and dendritic cells under the presence of tumor and cytokines and the immune interactions. In addition, we apply two control therapies, immunotherapy and chemotherapy to the model in order to control growth of tumor. Using optimal control theory and numerical simulations, we obtain appropriate treatment strategies according to the ratio of the cost for two therapies, which suggest an optimal timing of each administration for the two types of models, without and with immunosuppressive effects. These results mean that the immune suppression can have an influence on treatment strategies for cancer.

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Tumor and immune response to chemotherapy and immunotherapy.
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fig1: Tumor and immune response to chemotherapy and immunotherapy.

Mentions: If a tumor cell formed in our body, firstly by innate immune response, NK cells kill the tumor cells. By the adaptive immune response, after dendritic cells knew about tumor cell's information, dendritic cells convey information about tumor to other T cells. CD4+T cells and CD8+T cells activated each other by cytokine IL-2. By influence of immune suppression, regulatory T cells and tumor cell limit functions of other T cells by cytokine IL-10 and TGF-β. Next, CD8+T cells directly kill tumor cells by adaptive immune response [1] (see Figure 1).


Optimal treatment strategy for a tumor model under immune suppression.

Kim KS, Cho G, Jung IH - Comput Math Methods Med (2014)

Tumor and immune response to chemotherapy and immunotherapy.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4129922&req=5

fig1: Tumor and immune response to chemotherapy and immunotherapy.
Mentions: If a tumor cell formed in our body, firstly by innate immune response, NK cells kill the tumor cells. By the adaptive immune response, after dendritic cells knew about tumor cell's information, dendritic cells convey information about tumor to other T cells. CD4+T cells and CD8+T cells activated each other by cytokine IL-2. By influence of immune suppression, regulatory T cells and tumor cell limit functions of other T cells by cytokine IL-10 and TGF-β. Next, CD8+T cells directly kill tumor cells by adaptive immune response [1] (see Figure 1).

Bottom Line: We propose a mathematical model describing tumor-immune interactions under immune suppression.To do this we have developed a system of 11 ordinary differential equations including the movement, interaction, and activation of NK cells, CD8(+)T-cells, CD4(+)T cells, regulatory T cells, and dendritic cells under the presence of tumor and cytokines and the immune interactions.Using optimal control theory and numerical simulations, we obtain appropriate treatment strategies according to the ratio of the cost for two therapies, which suggest an optimal timing of each administration for the two types of models, without and with immunosuppressive effects.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Pusan National University, Busan 609-735, Republic of Korea.

ABSTRACT
We propose a mathematical model describing tumor-immune interactions under immune suppression. These days evidences indicate that the immune suppression related to cancer contributes to its progression. The mathematical model for tumor-immune interactions would provide a new methodology for more sophisticated treatment options of cancer. To do this we have developed a system of 11 ordinary differential equations including the movement, interaction, and activation of NK cells, CD8(+)T-cells, CD4(+)T cells, regulatory T cells, and dendritic cells under the presence of tumor and cytokines and the immune interactions. In addition, we apply two control therapies, immunotherapy and chemotherapy to the model in order to control growth of tumor. Using optimal control theory and numerical simulations, we obtain appropriate treatment strategies according to the ratio of the cost for two therapies, which suggest an optimal timing of each administration for the two types of models, without and with immunosuppressive effects. These results mean that the immune suppression can have an influence on treatment strategies for cancer.

Show MeSH
Related in: MedlinePlus