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© © LC 2007 LC 2007 Treatment planning systems Treatment planning systems PD Dr. L. Cozzi PD Dr. L. Cozzi Oncology Institute of Southern Switzerland Oncology Institute of Southern Switzerland

Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

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Page 1: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

©© LC 2007LC 2007

Treatment planning systemsTreatment planning systems

PD Dr. L. CozziPD Dr. L. CozziOncology Institute of Southern SwitzerlandOncology Institute of Southern Switzerland

Page 2: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

‘‘adaptive’adaptive’

‘‘conventional’conventional’

‘‘conformal’conformal’

‘‘intensity modulated’intensity modulated’

RadiotherapyRadiotherapythe principle is the same now as it was 100 years ago: the principle is the same now as it was 100 years ago:

high dose to the volume of the patient containing tumour cellshigh dose to the volume of the patient containing tumour cellsand and no dose elsewhereno dose elsewhere

all modalities are nowadays used worldwide

all modalities are nowadays used worldwide

timetime1980s1980s 1990s1990s 2000s2000s1970s1970s

©© LC 2007LC 2007

Page 3: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Intensity modulated treatments IMRT (2000s, ..)Imaging:Imaging:33--D imagesD images: : CT, MRI, SPECT, PET.CT, MRI, SPECT, PET. It is possible to generate It is possible to generate both anatomical and functional tumour volumes. (as both anatomical and functional tumour volumes. (as conformal)conformal)

Target definition:Target definition:based on 3based on 3--D images: D images: better (and personalised) better (and personalised) determination of the Planning Target Volumedetermination of the Planning Target Volume (as conformal)(as conformal)

Beam arrangement:Beam arrangement:CTCT--basedbased. N fields, up to 6, with different entrances, even . N fields, up to 6, with different entrances, even not coplanar (beam axis not through an axial slice): BEV not coplanar (beam axis not through an axial slice): BEV (Beam’s Eye View) is used. (Beam’s Eye View) is used.

(Field shaping) Intensity Shaping:(Field shaping) Intensity Shaping:An An optimisationoptimisation process calculates, starting from Dose process calculates, starting from Dose Contstraints on the drawn volumes (PTV, OR or PRV), the fluence Contstraints on the drawn volumes (PTV, OR or PRV), the fluence per each fieldper each field

Dose calculation:Dose calculation:33--DD calculation. calculation. Heterogeneities are accounted for Heterogeneities are accounted for using CT using CT numbers. Doses are often calculated on fluence base.numbers. Doses are often calculated on fluence base.

©© LC 2007LC 2007

Page 4: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Image data Image data (CT, MRI, PET, …)(CT, MRI, PET, …)

Machine data Machine data (beam (beam dosimetrydosimetry, machine geometry), machine geometry)

Patient ModelsPatient Models Beam/Machine ModelsBeam/Machine Models

Segmentation and Segmentation and modelingmodeling Beam fitting and Beam fitting and modelingmodeling

Treatment plan Treatment plan

Treatment designTreatment design

Dose distributionDose distribution

CalculationCalculationEvaluationEvaluation

Treatment delivery aidsTreatment delivery aids

DocumentationDocumentation

©© LC 2007LC 2007

The treatment planning chainThe treatment planning chain

Page 5: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Treatment planningTreatment planningwhat shall be donewhat shall be done

1)1) InputInput CT slicesCT slices2)2) Creation of a Creation of a 3D study3D study from single CT slices from single CT slices 3)3) RegistrationRegistration between CT and MRI, PET, ... between CT and MRI, PET, ... image fusion algorithmsimage fusion algorithms4)4) ContouringContouring: targets and OARs : targets and OARs segmentation segmentation algorithmsalgorithms5)5) PlanningPlanning: define beam arrangement and calculate : define beam arrangement and calculate dose distribution dose distribution dose calculation algorithmsdose calculation algorithms6)6) EvaluationEvaluation: dose distribution visualisation, DVH, : dose distribution visualisation, DVH, dose statistics, TCP/NTCP, ... dose statistics, TCP/NTCP, ...

©© LC 2007LC 2007

Page 6: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Image fusion: example CT/MRImage fusion: example CT/MR

MR (purple) andMR (purple) andCT (grey) imagesCT (grey) images

before fusionbefore fusion MR and CTMR and CToverlaidoverlaid

Fused imageFused image

Volumes can be outlined on MRI and automatically overlaid on CTVolumes can be outlined on MRI and automatically overlaid on CT

©© LC 2007LC 2007

Page 7: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

CT: the artifacts problemCT: the artifacts problem

©© LC 2007LC 2007

it is generally possibleit is generally possibleto assign fixed HU to to assign fixed HU to a specified region, where a specified region, where the artifacts may stronglythe artifacts may stronglyaffect dose calculationaffect dose calculation

Page 8: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

DRR: Digital Reconstructed RadiographDRR: Digital Reconstructed Radiograph

The starting pointThe starting pointis the CTis the CTdatasetdataset

The result is a ’reconstructed’ radiographThe result is a ’reconstructed’ radiograph

©© LC 2007LC 2007

Page 9: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

DRR: different filteringDRR: different filtering

©© LC 2007LC 2007

Page 10: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Image Acquisition of Moving Targets

Rietzel et al, Med. Phys., 2005

no gating

gating

©© LC 2007LC 2007

Page 11: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Image Acquisition of Moving Targets

no gating

©© LC 2007LC 2007

Page 12: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Prospective

Patient Immobilized on

CT

RetrospectivePatient Immobilized

on CTX-ray on

RPM Respiratory Gating System

TriggersX-ray on

RPM System Collects Respiration Phase Data

Planning

Standard Geometric Planning

Advantage 4D Synchronizes Image Data With Respiratory

Cycle

4D CT Image Acquisition

©© LC 2007LC 2007

Page 13: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Respiration Waveform from RPM Respiratory Gating System

CT Scan

Axial scan trigger,1st couch position

Axial scan trigger, 2nd couch position

Exhalation

Scan Scan Scan

Inhalation

Axial scan trigger,3rd couch position

Prospective CT Image Acquisition

©© LC 2007LC 2007

Page 14: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

X-ray on

Exhalation

Inhalation

“Image acquired”signal to RPM system

1st couch position

Retrospective 4D CT Image AcquisitionRespiration Waveform from RPM Respiratory Gating System

2nd

couch position

3rd couch position

©© LC 2007LC 2007

Page 15: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

4D Data and images courtesy VUmc, Amsterdam, The Netherlands

Page 16: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Prospective Gating

Conventional CT Image Gated CT Image

Images Courtesy Medical College of Virginia, Richmond VA

Tumor

©© LC 2007LC 2007

Page 17: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Retrospective gating

4D Data and images courtesy VUmc, Amsterdam, The Netherlands

80% isodose: volume13 vs. 27 cc20% isodose: volume163 vs.471 cc

©© LC 2007LC 2007

Page 18: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

4D image registration• Sets of 3D CT scans - corresponding to different phases of breathing

- can be registered according to DICOM coordinates

• Sets of 3D PET scans can be co-registered with the corresponding 3D CT scans (based on scanner coordinates and/or aided by fiducials)

©© LC 2007LC 2007

Page 19: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

3D planning:3D planning:Photon dose calculation modelsPhoton dose calculation models

©© LC 2007LC 2007

Page 20: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

courtesy A. Ahnesjö

The physics behind photon dose calculationThe physics behind photon dose calculation

Pair production

Compton

Photoelectric

©© LC 2007LC 2007

Page 21: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Machine dataMachine data

Beam profiles, depth doses,Beam profiles, depth doses,Output factors, Wedge factors,Output factors, Wedge factors,Absolute Absolute dosimetrydosimetry for MUfor MUcomputation, … computation, …

MODELING MACHINE DATA:MODELING MACHINE DATA:CONFIGURATION PROCESSCONFIGURATION PROCESS

1)1) Dose calculation algorithm of TPS is able to compute dose distriDose calculation algorithm of TPS is able to compute dose distribution bution under arbitrary conditions from under arbitrary conditions from basidbasid data coming from configurationdata coming from configuration

2)2) Dose calculation algorithm is able to compute any allowed conditDose calculation algorithm is able to compute any allowed condition ion within certain accuracywithin certain accuracy

3)3) Dose calculation algorithm can compute dose distributions in patDose calculation algorithm can compute dose distributions in patient ient datasetdataset©© LC 2007LC 2007

Page 22: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Patient dataPatient data

To compute dose To compute dose distribution, patient distribution, patient data are required:data are required:

1)1) Patient anatomy in Patient anatomy in terms of ‘terms of ‘geometrygeometry’’

2)2) Patient anatomy in Patient anatomy in terms of ‘terms of ‘matter matter compositioncomposition’’

Patients composition: in principle, to use the “whole physics” (Patients composition: in principle, to use the “whole physics” (interactions), the interactions), the medium has to be known in terms of atomic composition medium has to be known in terms of atomic composition NOT POSSIBLENOT POSSIBLESolution: CT data give Solution: CT data give HounsfieldHounsfield NumbersNumbers, that can be related to , that can be related to mass or mass or electron densityelectron density of the mediumof the medium this is a crude approximation of the real this is a crude approximation of the real patient. patient. Cross sections of physical interactions are powers of the electrCross sections of physical interactions are powers of the electron density.on density.

©© LC 2007LC 2007

Algorithms have limitations that shall be knownAlgorithms have limitations that shall be known

Page 23: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Grade 1:Grade 1:

2D2D--planningplanning

Grade 2:Grade 2:

3D3D--planningplanning

In practice:In practice:

Grade 0:Grade 0:

CTVOI on slicedose on slice CT

VOI on patient volumedose on patient volume

©© LC 2007LC 2007

Page 24: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

No electron transport Electron transport(local energy deposition, TERMA) (non-local energy deposition, DOSE)

- Linear attenuation - Superposition/Convolution: 1-D - Ratio of TAR: EPL, (Pencil Beam)

eff SSD, isodose shift - FFT techniques- Power law (Batho)

- EqTAR - Superposition/Convolution3-D - dSAR (Collapsed Cone, MGS, AAA)

- DVOL - Monte Carlo- 3D Beam Subtraction

Electron transport

Leve

l of

anat

omy

sam

pled

©© LC, AFC,GN 2007LC, AFC,GN 2007©© LC, AFC,GN 2007LC, AFC,GN 2007

AAPM report 85, 2004

Dose calculation algorithm Dose calculation algorithm classificationsclassifications

Page 25: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Lung

inse

rt

Lung

inse

rt

ρρ =0.

2 g/

cm=0

.2 g

/cm

33

Large field 13x13 cmLarge field 13x13 cm22 Small field 3x13 cmSmall field 3x13 cm22

©© LC, AFC,GN 2007LC, AFC,GN 2007

Page 26: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

©© LC, AFC,GN 2007LC, AFC,GN 2007

Energy fluencedose dep. kernel absorbed dose

Superposition

Pencil beam is a convolution/superpos.PB calculates in homogeneous mediaCorrective methods are necessaryVarian: Matho, Mod. batho, ETAR

TMS, OMP: EPL type

these approximations are used to generate Pencil Beams

Absorbed dose is given by superposition of pencil beams

TERMA

dose dep. kernel absorbed dose

Too time consuming!

Page 27: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Phase Space ModelPhase Space Model

•• Initial Phase SpaceInitial Phase Space–– Source to bottom of jawsSource to bottom of jaws–– Models accelerator headModels accelerator head

•• Modified Phase SpaceModified Phase Space–– Bottom of jaws to patient Bottom of jaws to patient

surfacesurface–– Models beam modifiersModels beam modifiers

IPS

MPS

©© LC 2007LC 2007

Page 28: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Phase Space ModelPhase Space Model

•• MultipleMultiple--Source ModelSource Model–– Photon SourcesPhoton Sources

•• Primary sourcePrimary source–– TargetTarget

•• ExtraExtra--focal (secondary) sourcefocal (secondary) source–– Flattening filter, beam limiting Flattening filter, beam limiting

devicesdevices–– Electron ContaminationElectron Contamination

•• Flattening filter, beam limiting Flattening filter, beam limiting devicesdevices

•• Beam modifiersBeam modifiers•• Source parametersSource parameters

–– Initial energy spectrumInitial energy spectrum–– Mean radial energyMean radial energy–– Fluence intensityFluence intensity

©© LC 2007LC 2007

Page 29: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Beam Modifiers

• Beam modifiers affect– Fluence

• Block, MLC, DW, IMRT– Fluence and Spectral Characteristics

• Hard wedges

• Head scatter changes– Secondary source modifications– Electron source modifications

©© LC 2007LC 2007

Page 30: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Beam ModelBeam Model

•• BeamletsBeamlets–– Field divided into beamletsField divided into beamlets–– Beamlet size corresponds to Beamlet size corresponds to

calculation gridcalculation grid–– Beamlets diverge along Beamlets diverge along

fanlinesfanlines–– Uniform fluence within Uniform fluence within

beamletbeamlet–– Dose calculated along the Dose calculated along the

beamletbeamlet–– Beamlet kernel convolution Beamlet kernel convolution

performed for each sourceperformed for each source

©© LC 2007LC 2007

Page 31: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Patient Model

• Voxels– Patient divided into 3D voxels– Voxels have divergent geometry– Mean electron density

computed for each voxel• Based on patient CT data

– Voxel dose obtained by superposition of beamlet contributions

©© LC 2007LC 2007

Page 32: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Dose CalculationDose Calculation

Focal and extra focal photonsFocal and extra focal photons

©© LC 2007LC 2007

Page 33: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Beamlet ParametersBeamlet Parameters

•• Photon fluencePhoton fluence ΦΦββ–– Describes beam radial eDescribes beam radial energy spectrumnergy spectrum–– Assumed to be uniform within beamletAssumed to be uniform within beamlet ββ

•• Energy deposition density functionEnergy deposition density function IIββ((z,z,ρρ))–– Polyenergetic function: Based on energy Polyenergetic function: Based on energy

spectrum, superposition of prespectrum, superposition of pre--calculated calculated monoenergetic energy deposition density monoenergetic energy deposition density functions functions

•• Scatter kernelScatter kernel KKββ(x,y,z,(x,y,z,ρρ))–– Models lateral energy scatteringModels lateral energy scattering

©© LC 2007LC 2007

Page 34: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Energy Distribution due to PhotonsEnergy Distribution due to Photons

Energy deposited in a point for each beamlet Energy deposited in a point for each beamlet ββ is obtained by is obtained by convolutionconvolution

ΦΦββ fluence intensity of the pencil beamfluence intensity of the pencil beamIIββ(z,(z,ρρ)) energy deposition density functionenergy deposition density functionKKββ(x,y,z,(x,y,z,ρρ)) lateral scatter kernellateral scatter kernel

Applies to homogeneous mediumApplies to homogeneous medium

∫∫∈

−−××Φ=)(Area)v,u(

,ph dudv),z,yv,xu(K),z(I)z~,y~,x~(Eβββββ ρρ

©© LC 2007LC 2007

Page 35: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Depth Density ScalingDepth Density Scaling

Energy deposition density functionEnergy deposition density function–– Accounts for tissue heterogeneity by Accounts for tissue heterogeneity by

employing the concept of radiological scalingemploying the concept of radiological scaling–– New calculation depth determinedNew calculation depth determined–– Depth scaled according to heterogeneityDepth scaled according to heterogeneity

( )water

zzIzIρ

ρρ ββ,0,0)(),( ′=

dttzz

water∫=′0

),0,0(ρ

ρwhere ρ electron density

©© LC 2007LC 2007

Page 36: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Scatter Kernel ModelScatter Kernel Model

•• Monoenergetic scatter kernelsMonoenergetic scatter kernels–– Monte Carlo precalculated data for differentMonte Carlo precalculated data for different

•• EnergiesEnergies•• MaterialsMaterials

•• Polyenergetic scatter kernelsPolyenergetic scatter kernels–– Weighted sum of monoenergetic kernelsWeighted sum of monoenergetic kernels–– Scaled according to the densityScaled according to the density–– Used for the beamlet convolutionUsed for the beamlet convolution

©© LC 2007LC 2007

Page 37: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Lateral Density Scaling ofLateral Density Scaling ofPhoton Scatter KernelsPhoton Scatter Kernels

Energy scaling at each location by the average density between Energy scaling at each location by the average density between the calculation point and the origin of the pencil beamthe calculation point and the origin of the pencil beam

∑=

−=5

0

),,(1)'(),,(),,(k

yxrk

water

dker

zczyxzyxK ρμβ ρ

ρ

WhereWhere rrdd = = RadiologicalRadiological distance distance fromfrom kernelkernel originorigin (0,0,z) to (0,0,z) to ((x,y,zx,y,z) ) alongalong rayray R R thatthat passespasses throughthrough ((x,yx,y))

td)t(),y,x(rR water

d

rr

∫= ρρρ

©© LC 2007LC 2007

Page 38: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Dose CalculationDose Calculation

Contaminating Electron DoseContaminating Electron Dose

©© LC 2007LC 2007

Page 39: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Electron Contamination

• Electrons produced in– Flattening filter– Ionization chamber– Collimator jaws– Beam modifiers– Air

• Depends strongly on – Photon energy spectrum– Field size

©© LC 2007LC 2007

Page 40: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Energy Distribution due to Energy Distribution due to ElectronsElectrons

Energy deposited in a point for each beamletEnergy deposited in a point for each beamlet ββ is obtained by is obtained by convolutionconvolution

∫∫∈

−−××Φ=)(Area)v,u(

,cont,cont,cont,cont dudv),z,yv,xu(K),z(I)z~,y~,x~(Eβ

ββββ ρρ

ΦΦcontcont,,ββ Fluence of cont. electrons is determined by convolving the Fluence of cont. electrons is determined by convolving the photon fluence with a ’sum of Gaussians’photon fluence with a ’sum of Gaussians’--kernelkernel KKfl,efl,e

IIcont,cont,ββ((z,z,ρρ)) Determined from measured data and tabulatedDetermined from measured data and tabulated

KKcont,cont,ββ((x,y,zx,y,z,,ρρ)) lateral scatter kernellateral scatter kernel

⎥⎦

⎤⎢⎣

⎡ +−= 2

22

2 221

EE,cont

yxexpKσπσβ

©© LC 2007LC 2007

Page 41: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Dose CalculationDose Calculation

Superposition / Conversion to DoseSuperposition / Conversion to Dose

©© LC 2007LC 2007

Page 42: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Absorbed energy is obtained by superposition ofAbsorbed energy is obtained by superposition ofthe separate energy contributions from all sourcesthe separate energy contributions from all sources

–– Primary photonsPrimary photons

–– ExtraExtra--focal photonsfocal photons

–– Contaminating electronsContaminating electrons

( )∑ ++=β

βββ )z~,y~,x~(E)z~,y~,x~(E)z~,y~,x~(E)z~,y~,x~(E ,cont,ph,ph 21

SuperpositionSuperposition

©© LC 2007LC 2007

Page 43: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Convolution/SuperpositionConvolution/Superposition

•• ConvolutionConvolution

–– Primary photon beamPrimary photon beam

–– ExtraExtra--focal photon beamfocal photon beam

–– Contaminating electronsContaminating electrons

•• SuperpositionSuperposition

–– Sums convolution resultsSums convolution results

–– Produces final energy Produces final energy depositiondeposition

©© LC 2007LC 2007

Page 44: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

ConversionConversion to Doseto Dose

AssumptionAssumption::Different Different heterogeneitiesheterogeneities cancan bebe modifiedmodified as as scaledscaledwaterwater

)z~,y~,x~()z~,y~,x~(E)z~,y~,x~(D water

ρρ

=

©© LC 2007LC 2007

Page 45: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

CT: electron density calibrationCT: electron density calibrationcalibration curve:calibration curve:

CT number CT number vsvs electron densityelectron density

the calibration curve is used tothe calibration curve is used tohave tissue density corrections in have tissue density corrections in

dose calculationdose calculation

Rel. electron density vs HURel. electron density vs HU

ρρee=1 @ HU=0=1 @ HU=0

Mass density vs HUMass density vs HU

ρρ=1 @ HU=0=1 @ HU=0

©© LC 2007LC 2007

Page 46: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Dose CalculationDose Calculation

MU CalculationMU Calculation

©© LC 2007LC 2007

Page 47: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

MU Calculation

• Based on– Output factor measurements– Calibration calculations made for the reference field size– Collimator back-scatter factor

• Final MUs calculated from– Prescribed Dose– Plan Normalization– Field weight– Field normalization

©© LC 2007LC 2007

Page 48: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

PracticalPractical demosdemos::

•• SupportiveSupportive toolstools ((e.ge.g. DRR, BEV). DRR, BEV)•• BeamBeam modifiersmodifiers ((wedgeswedges and MLC)and MLC)•• DensityDensity on/offon/off•• Standard Standard vsvs advanceadvance plansplans•• System System configurationconfiguration

©© LC 2007LC 2007

Page 49: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

3D view of the drawn STRUCTURES3D view of the drawn STRUCTURES + BEAMS+ BEAMSThe BEV: Beam’sThe BEV: Beam’s--EyeEye--ViewView

The

Room

’s-Ey

e-Vi

ewTh

e Be

am’s-

Eye-

View

©© LC 2007LC 2007

Page 50: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Open beamOpen beam ... BEV with organs at risk ...... BEV with organs at risk ...

MLC shieldingMLC shielding Block shieldingBlock shielding

Beam shapingBeam shaping

©© LC 2007LC 2007

Page 51: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

MLC optionsMLC options

0.6 cm marginInside

0.6 cm marginOutside

0.6 cm marginMiddle

©© LC 2007LC 2007

Page 52: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

0.6 cm marginMiddle

0.6 cm marginMiddleOptim coll rot

MLC optionsMLC options

©© LC 2007LC 2007

Page 53: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

MLC optionsMLC options

©© LC 2007LC 2007

Page 54: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

Block optionsBlock options

ApertureAperture

ShieldingShielding

ApertureAperture

©© LC 2007LC 2007

Page 55: Treatment planning systems - SASRO · 2018. 2. 22. · dose dep. kernel absorbed dose Superposition Pencil beam is a convolution/superpos. PB calculates in homogeneous media Corrective

3D target volume3D target volume Box Box –– open fieldsopen fields

Box Box -- MLCMLC Box Box -- BlocksBlocks

Case: Prostate, 4field box. The 90% isodoseCase: Prostate, 4field box. The 90% isodose

©© LC 2007LC 2007

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Open beam Wedged beam

Dose Profile shape

Wedge material absorbepart of the dose:

Transmission factor WF:D(wedge)D(open)

for specified MU

Inhomogeneous dose in the beam

Standard hard wedgesStandard hard wedges

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©© LC 2007LC 2007

Standard hard wedgesStandard hard wedges

1515°° 3030°°

4545°° 6060°°

WF=0.770WF=0.770 WF=0.625WF=0.625

WF=0.493WF=0.493 WF=0.405WF=0.405

105%105%93%93%

115%115%

85%85%

125%125%

80%80%

160%160%

70%70%

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©© LC 2007LC 2007

Standard hard wedgesStandard hard wedges

1515°° 3030°°

4545°° 6060°°

WF=0.770WF=0.770 WF=0.625WF=0.625

WF=0.493WF=0.493 WF=0.405WF=0.405

105%105%93%93%

115%115%

85%85%

125%125%

80%80%

160%160%

70%70%

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80%80%

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Standard hard wedgesStandard hard wedges

WF=0.770WF=0.770 WF=0.625WF=0.625

WF=0.493WF=0.493 WF=0.405WF=0.405

105%105%93%93%

115%115%

85%85%

125%125% 160%160%

70%70%

1515°° 3030°°

4545°° 6060°°

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Dynamic (virtual) wedgesDynamic (virtual) wedges

Wedge profile using openWedge profile using openfields with dynamic movementfields with dynamic movement

of the jaws.of the jaws.Mechanical hard wedge absent.Mechanical hard wedge absent.Generally only for one of the Generally only for one of the

two couple of jaws two couple of jaws (overtravel)(overtravel)

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open AP field open lat field sum AP + lat fields

wedge AP fieldwedge AP field wedge lat fieldwedge lat field sum AP + lat wedge fieldssum AP + lat wedge fields

100%

95%

105%

100%

120%

80%

The usage of wedgesThe usage of wedges

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Configuration of a TPSConfiguration of a TPS

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Measurements characterising Linac beams, modifiers Measurements characterising Linac beams, modifiers and accessoriesand accessories

Processing tools to generate phase space and Processing tools to generate phase space and parametersparameters

QA tools to guarantee at commissioning and over QA tools to guarantee at commissioning and over time the quality of TPS datatime the quality of TPS data

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ExampleExample of of MeasurementMeasurement RequirementsRequirementsOpen Open FieldField

•• DepthDepth DoseDose–– AlongAlong CAXCAX–– Mandatory:Mandatory: 4x4cm4x4cm22, 6x6cm, 6x6cm22, 10x10cm, 10x10cm22, 20x20cm, 20x20cm22, , LargestLargest

FieldField SizeSize–– RecommendedRecommended:: SmallestSmallest FieldField SizeSize, 8x8cm, 8x8cm22, 30x30cm, 30x30cm22

•• ProfilesProfiles–– ddmaxmax, 5cm, 10cm, 20cm, 30cm, 5cm, 10cm, 20cm, 30cm–– Same Same FieldField SizesSizes as as forfor DepthDepth DoseDose–– MeasureMeasure at least 35mm at least 35mm pastpast thethe 50% of 50% of thethe dose on CAXdose on CAX

•• Diagonal Diagonal ProfilesProfiles–– Same Same depthsdepths as as ProfilesProfiles; ; LargestLargest FieldField SizeSize

•• Output Output FactorsFactors–– 5cm 5cm depthdepth ((notnot at at ddmaxmax))

•• Absolute Absolute DosimetryDosimetry–– ReferenceReference Dose [Gy] at Dose [Gy] at CalibrationCalibration DepthDepth forfor

•• ReferenceReference MU (MU (usuallyusually 100MU)100MU)•• ReferenceReference FieldField SizeSize ((usuallyusually 10x10)10x10)

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ExampleExample of of MachineMachine ParametersParameters

•• Parameters Parameters havehave a a significantsignificant effecteffect on on thethe optimizationoptimizationof of machinemachine parametersparameters

•• ContainsContains initialinitial guessesguesses forfor somesome treatmenttreatment unitunitparametersparameters::–– Photon Photon energyenergy spectrumspectrum–– Radial Radial energyenergy–– LocationLocation of of virtualvirtual secondarysecondary sourcesource and and thethe last last collimatingcollimating

devicedevice–– IntensityIntensity, , energyenergy and and sizesize of of thethe virtualvirtual secondarysecondary sourcesource–– Material of Material of thethe flatteningflattening filterfilter–– Initial Initial guessguess forfor thethe intensityintensity profileprofile

•• AutomaticallyAutomatically usedused as as inputinput in in thethe configurationconfiguration•• PossiblePossible to to modifymodify themthem

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ManufacturerManufacturer TPSTPS DOSE CALCULATION ALGORITHMDOSE CALCULATION ALGORITHM

3D3D--LineLine Ergo++Ergo++ PB + EPL inhomog {EqTAR under test} {MC (Tuebingen) wip}PB + EPL inhomog {EqTAR under test} {MC (Tuebingen) wip}

BrainLABBrainLAB iPlaniPlan PB + EPL inhomogPB + EPL inhomog

CMSCMS XiO, MonacoXiO, Monaco XiO: FFTC Clarkson or MGS ; Monaco: MC (Tuebingen)XiO: FFTC Clarkson or MGS ; Monaco: MC (Tuebingen)

DosisoftDosisoft ISOgrayISOgray Point kernel superp + voxelic inhomogPoint kernel superp + voxelic inhomog

IMPAC IMPAC ((Elekta)Elekta) MOSAIQMOSAIQ ’’Dose engine’:Dose engine’: MC (Tuebingen)MC (Tuebingen)

RaySearchRaySearch RayDoseRayDose ’’Dose engine’:Dose engine’: CC or PB (SingularValueDecomposition) + EPL inhCC or PB (SingularValueDecomposition) + EPL inh

ElektaElekta PrecisePlanPrecisePlan TAR/SAR (preTAR/SAR (pre--PB) {MC wip}PB) {MC wip}

MultidataMultidata RTSuiteRTSuite 3D prism PL, Clarkson3D prism PL, Clarkson

NOMOSNOMOS CORVUSCORVUS PB or MC (Peregrine)PB or MC (Peregrine)

NucletronNucletron OncentraOncentraMPMP PB + EPL inhomog or Collapsed ConePB + EPL inhomog or Collapsed Cone

PerMedicsPerMedics OdysseyOdyssey PB + EPL inhomogPB + EPL inhomog

PhilipsPhilips Pinnacle3Pinnacle3 Collapsed ConeCollapsed Cone

ProwessProwess PantherPanther Collapsed Cone or TMR + EPL inhomogCollapsed Cone or TMR + EPL inhomog

RadionicsRadionics XknifeXknife TMRTMR

SiemensSiemens KonRadKonRad [IMRT only] PB (+FFT) + EPL inhomog[IMRT only] PB (+FFT) + EPL inhomog

TomoTherapyTomoTherapy HiHi--ArtArt Convol/superpos + inhomog correct.Convol/superpos + inhomog correct.

VarianVarian EclipseEclipse PB + EPL, EqTAR inhomog or AAA {MC wip}PB + EPL, EqTAR inhomog or AAA {MC wip}©© LC 2007LC 2007

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From conventional radiotherapy to From conventional radiotherapy to conformation and to intensity modulationconformation and to intensity modulation. .

The Head & Neck caseThe Head & Neck case

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Conventional treatment of head and neck cancer

Field displacement was found geometrically.Field matching is always difficult and risky: hot and cold spots are present at the level of field junction.

NO!NO! YESYES

but...but...

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Beam matchingBeam matching: : adjacent fields can cause dosimetric problems!!adjacent fields can cause dosimetric problems!!

Two matched photon fields

Dos

e in

tens

ity

with a gap with an overlap

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Beam matchingBeam matching: : adjacent fields can cause dosimetric problems!!adjacent fields can cause dosimetric problems!!

Cold spotCold spot

Hot spotHot spot

Best matching photons+electronsBest matching photons+electrons

Beam penumbrae are physics: no way to change them....Beam penumbrae are physics: no way to change them....

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Conformal treatmentConformal treatment in head and neck:in head and neck:the possibility to the possibility to avoid beam matchingavoid beam matching

Acute Mucositisat end RT

Conformal(5-field)

Conventional(phot+elec)

Grade 1 17% 7%Grade 2 48% 36%Grade 3 34% 57%

Acute Dermitisat end RT

Conformal(5-field)

Conventional(phot+elec)

Grade 1 26% 14%Grade 2 59% 65%Grade 3 15% 21%

Late MucositisConformal

(5-field)Conventional(phot+elec)

Grade 0 68% 58%Grade 1 21% 27%Grade 2 11% 12%Grade 3 0% 3%

Late DermitisConformal

(5-field)Conventional(phot+elec)

Grade 0 82% 54%Grade 1 14% 34%Grade 2 4% 11%Grade 3 0% 0%

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IMRT 5 IMRT 5 fldfld ConformalConformal 5 5 fldfld

PTVIIPTVII

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IMRT 5 IMRT 5 fldfld ConformalConformal 5 5 fldfld

PTVIIPTVII

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IMRT 5 IMRT 5 fldfld ConformalConformal 5 5 fldfld

PTVIIPTVII

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IMRT 5 IMRT 5 fldfld ConformalConformal 5 5 fldfld

PTVIIPTVII

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From conventional radiotherapy to From conventional radiotherapy to conformation and to intensity modulationconformation and to intensity modulation. .

The Breast caseThe Breast case

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THE THE CONVENTIONALCONVENTIONAL TREATMENTTREATMENT

RT in RT in BreastBreast Cancer: Cancer: thethe techniquestechniques

AdvancedAdvanced--stagestage: : breastbreast + + supraclavicularsupraclavicular nodesnodes

• 2 tangential fields• 1-2 opposed ap fields

Two Two tangentstangents

AnteroAntero--posteriorposterior

FieldField matchingmatching!!!!

Problems:- field matching- high dose to

apex of lung

2 mm gap2 mm overlap

The The tangentstangents

The The AnteroAntero--posteriorposterior

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FieldFieldmatchingmatching!!!!

PhotonsPhotons//photons

photons

FieldField matchingmatching!!!!

PhotonsPhotons//ele

ctrons

electrons

THE THE CONVENTIONALCONVENTIONAL TREATMENTTREATMENT

RT in RT in BreastBreast Cancer: Cancer: thethe techniquestechniques

• 2 tangential

• 1-2 supraclav+axilla

• 1 electron IMN

AdvancedAdvanced--stagestage: : breast+supraclavicularbreast+supraclavicular nodes+internalnodes+internal mammarymammary nodesnodes

coldtriangle

The electron

The electron fieldfield

The The tangentstangents

The The AnteroAntero--posteriorposterior

Problems:- field matching(especiallyphotons/electrons- high dose heartand lung- geographycal miss in an internal quadrant where you likely have/had disease

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60º 200º200º 180º180º

A A conformalconformal exampleexample

A three field technique without matchingA three field technique without matching

EarlyEarly--stagestage: whole breast only: whole breast only

60º 200º200º 180º180º

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Another Another conformalconformal exampleexample

A two nonA two non--coplanar field technique without matchingcoplanar field technique without matching

EarlyEarly--stagestage: whole breast only: whole breast only

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2F-NC

ComparingComparing conformalconformal examplesexamples EarlyEarly--stagestage: : wholewhole breastbreast onlyonly

2F

3F-C

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2F-NC 3F-C 2F

ResultsResults: : comparison 2F (conv), 3F, 2Fcomparison 2F (conv), 3F, 2F--NCNC

50%50%70%90%100%

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Why IMRTWhy IMRT? examples for chest wall or IMC? examples for chest wall or IMCMore than conventional: 3 fields IMRTConventional: 2 tangential fields

50%70%90%120%

Electrons Gantry 0 shif/overlap

Electrons Gantry matched with photons IMRT

Electrons Gantry 0

Electrons Gantry “half” matched

AdvancedAdvanced--stagestage: breast + nodal areas: breast + nodal areas

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