PRESENTATION A MATHEMATICAL MODEL FOR PREVENTION OF BONE METASTASES PROGRESSIVE BY USING OPTIMAL CONTROL

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NIKBAKHT M.; FAKHARZADEH JAHROMI A.; HEYDARI A.

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Paper Information

Journal: Journal of Operational Research in its Applications Year:2016 | Volume:12 | Issue:4 (47) Page(s): 47-60

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Title

PRESENTATION A MATHEMATICAL MODEL FOR PREVENTION OF BONE METASTASES PROGRESSIVE BY USING OPTIMAL CONTROL

Author(s)

NIKBAKHT M. | FAKHARZADEH JAHROMI A. | HEYDARI A. | Issue Writer Certificate

Keywords

OPTIMAL CONTROL

MATHEMATICAL MODEL

BONE METASTASES

PSO

DRUG THERAPY

Abstract

Bone metastases occur when cancer cells extend to bone from another parts of the body like lung, breast and prostate and begin to growth. In this paper, we have extend the MATHEMATICAL MODEL of BONE METASTASES because of breast cancer. The presented model is given by a system of partial differential equations that characterize the relation between osteoclast, RANKL, OPG, PTHrP, tumor and drug. The purpose of presentation of this model is to find out the best DRUG THERAPY for minimizing the tumor size by using OPTIMAL CONTROL theory. The presentation model (OPTIMAL CONTROL system) is solved by using PSO algorithm. Simulation results indicate that by using drug, according to optimal administration results for BONE METASTASES treatment, tumor density is decreased toward BONE METASTASES model without using drug.

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References

SOLVING A CLASS OF OPTIMAL CONTROL PROBLEMS WITH THE USE OF THE HYBRID GENETIC ALGORITHM

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APA: Copy

NIKBAKHT, M., FAKHARZADEH JAHROMI, A., & HEYDARI, A.. (2016). PRESENTATION A MATHEMATICAL MODEL FOR PREVENTION OF BONE METASTASES PROGRESSIVE BY USING OPTIMAL CONTROL. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 12(4 (47)), 47-60. SID. https://sid.ir/paper/164445/en

Vancouver: Copy

NIKBAKHT M., FAKHARZADEH JAHROMI A., HEYDARI A.. PRESENTATION A MATHEMATICAL MODEL FOR PREVENTION OF BONE METASTASES PROGRESSIVE BY USING OPTIMAL CONTROL. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2016;12(4 (47)):47-60. Available from: https://sid.ir/paper/164445/en

IEEE: Copy

M. NIKBAKHT, A. FAKHARZADEH JAHROMI, and A. HEYDARI, “PRESENTATION A MATHEMATICAL MODEL FOR PREVENTION OF BONE METASTASES PROGRESSIVE BY USING OPTIMAL CONTROL,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 12, no. 4 (47), pp. 47–60, 2016, [Online]. Available: https://sid.ir/paper/164445/en

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