Back
 AM  Vol.7 No.17 , November 2016
Application of Simplex Method in the Radiotherapy Treatment
Abstract: This work presents an application of the Simplex Method for solving an optimal planning problem for cancer treatment by radiotherapy. Linear Programming can aid the optimal planning for radiation therapy, where the concern is to apply a high enough radiation in the tumor while saving significantly healthy regions or critical organs.
Cite this paper: Salvador, T. , Carvalho, S. and Coelho, M. (2016) Application of Simplex Method in the Radiotherapy Treatment. Applied Mathematics, 7, 2229-2240. doi: 10.4236/am.2016.717177.
References

[1]   Péricles Crisostomo de, S. (2008) Programação linear no planejamento do tratamento de cancerporradiocirurgia. Master’s Thesis, Universidade Estadual Paulista (UNESP), São Paulo.

[2]   Rodrigo SartoreloSalemi, V. (2010) Programação Linear aplicada a criação de planejamentosotimizadosemradioterapia. Master’s Thesis, Programa de Pós-Graduaçãoem Biometria, IB, UNESP, São Paulo.

[3]   David Moreira, F. (2009) Método de pontosinteriores no planejamentoótimo do tratamento de cancerporradioterapia. Master’s Thesis, Universidade Estadual Paulista (UNESP), São Paulo.

[4]   Allen, H. (2003) Designing Radiotherapy Plans with Elastic Constraints and Interior Point Methods. Health Care Management Science, 6, 5-16.
https://doi.org/10.1023/A:1021970819104

[5]   Cecília Bollini Barboza, C. (2003) Planejamento do tratamentoporradioterapiaatravés de métodos de pontosinteriores. Master’s Thesis, Dissertação de Mestrado, ICMC-USP-São Carlos.

[6]   Johns, H.E. and Cunningham, J.R. (1974) Physics of Radiology.

[7]   Barbosa, C. and Oliveira, A.R.L. (2006) Planejamento do tratamentoporradioterapia, através de métodos de pontosinteriores. Pesquisa Operacional.
https://doi.org/10.1590/S0101-74382006000100001

[8]   Andrea Camila dos Santos, M. (2011) O método de pontosinteriores no planejamento da radioterapia. Universidade Estadual Paulista (UNESP), São Paulo.

[9]   Carvalho, S.M.S. and Oliveira, R. (2014) Predispatch of Hydroelectric Power Systems with Modifications in Network Topologies. Applied Mathematics, 5, 2271-2283.
https://doi.org/10.4236/am.2014.515221

[10]   Mageras, G.S. and Mohan, R. (1993) Application of Fast Simulated Annealing to Optimization of Conformal Radiation Treatments. Medical Physics, 20, 639-647.
https://doi.org/10.1118/1.597012

 
 
Top