Imrt

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Optimisation of Irradiation Directions in IMRT Planning Rick Johnston Matthias Ehrgott Department of Engineering Science University of Auckland M. Ehrgott, R. Johnston Optimisation of Irradiation Directions in IMRT Planning, OR Spectrum 25(2):251-264, 2003

Model Formulation ,[object Object],Voxels Bixels gantry

Angle Discretisation ,[object Object],[object Object],[object Object]

MOMIP Model ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],To study effect of direction optimisation consider weighted sum min  1 T 1 +  2 T 2 + ... +  K T K Extension of multicriteria model by Hamacher/Küfer

Solution Methods ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Integrated Methods ,[object Object],[object Object],[object Object],MIP SOLVER 1

[object Object],Isodose curve pictures obtained with prototype software developed at ITWM, Kaiserslautern

Integrated Methods ,[object Object],[object Object],[object Object],LOCAL SEARCH 2

Two-phase Methods ,[object Object],[object Object],[object Object],Fully irradiate every voxel in the tumour Avoid damage to healthy organs Benefits: SET COVERING 3

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Two-Phase Methods ,[object Object],4 Optimal solution of LP relaxation 10-40 beams used

Results ,[object Object],[object Object],[object Object]

Comparison Objective 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 Problem 1 3 heads Problem 1 4 heads Problem 2 3 heads Problem 2 4 heads Problem 3 3 heads Set Covering LP relaxation Local Search Mixed Integer

Objective vs. Time Objective 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0 2000 4000 6000 8000 10000 12000 Time (s) Local search improvement Set Covering Local Search LP relaxation Mixed Integer

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