Geodesic
Mathematical simulation and numerical solution of radiation therapy planning problems with help of physical and biological objective functions
Matematičeskoe modelirovanie, Tome 19 (2007) no. 10, pp. 67-75

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Purpose of the paper is creating of algorithm and computer program for effective numerical calculation of optimal tumor radiation intensity profiles with substantial number of port pixels and tumor and risk organs volume voxels. Developed algorithm, using physical objective functions, is based into multicriterion consideration of radiation intensity profile optimization problem and numerical methods for quadratic programming problems solving. Developed algorithm, using biological objective functions, is also based into multicriterion consideration of radiation intensity profile optimization problem and numerical methods for nonlinear programming problems solving. On basis of developed algorithms authors created computer programs which provides optimal tumor radiation intensity profiles calculation with acceptable accuracy for acceptable computation time. 
@article{MM_2007_19_10_a5,
     author = {S. G. Klimanov and V. A. Klimanov and A. V. Kryanev},
     title = {Mathematical simulation and numerical solution of radiation therapy planning problems with help of physical and biological objective functions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {67--75},
     publisher = {mathdoc},
     volume = {19},
     number = {10},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_10_a5/}
}
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%J Matematičeskoe modelirovanie
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S. G. Klimanov; V. A. Klimanov; A. V. Kryanev. Mathematical simulation and numerical solution of radiation therapy planning problems with help of physical and biological objective functions. Matematičeskoe modelirovanie, Tome 19 (2007) no. 10, pp. 67-75. http://geodesic.mathdoc.fr/item/MM_2007_19_10_a5/