Transition to Heterogeneity Corrections Why have accurate dose algorithms?

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Transition to Heterogeneity

Corrections

Eric E. Klein, M.S., Washington

University, St. Louis, MO

Craig Stevens, M.D., Ph.D., MD Anderson

Cancer Center, Houston, TX

AAPM 2005 Annual Meeting

Why have accurate dose algorithms?

Effectiveness of radiation therapy depends on maximum TCP and minimum NTCP. Both of these quantities are very sensitive to absorbed dose

We learn how to prescribe from clinical trials and controlled studies. Their outcome depends on the accuracy of reporting data

History of Prescriptive Changes

Brought Forth by Physics

TG-43 changes to S k

Calibration updates. based on NIST

Gamma Knife (Elekta) found a 8% discrepancy in 4 mm output. End result, Direct

Prescription change of 8%.

Change from LDR to HDR GYN

Brachytherapy. Depends on institution.

IMRT – Too early to advise if excessive hot spots (EUD concept) matters

Inhomogeneity Corrections

Clinical Examples

Orton et al (1998)

Developed benchmark test case

Reviewed 322 patients in RTOG 88-08

Results

Benchmark lung corrections

Measured: 1.14 (Co-60)-1.05 (24 MV)

Calculated: 1.17 (Co-60)-1.05 (24 MV)

Patients: 0.95-1.28, mean=1.05, SD=0.05

For lateral fields: mean=1.11, SD=0.08

Conclusion

Lung corrections lead to significant variations

Density corrections will help reduce these variations

1

Inhomogeneity Corrections

Clinical Examples

Mah & Van Dyk (1991)

reviewed 100 thoracic patients

Conclusions

Within lung, corrections are significant (0.95-1.24)

Target dose corrections are significant (0.95-1.21)

Substantial variation over patients (-5% to +21%)

Dose uniformity reduced in corrected distributions

In

∼∼∼∼

80% patients, probability of lung damage underestimated by >5% (up to 19%) if corrections not applied

Density

Determination

CT Based

Van Dyk IJORBP 1983

Assumed

Density

Dose Correction

Factor

“real” 1.40

% Difference from

“real density calculation

0

CT Measured

(total lung)

CT Measured

(average lung)

Age Related Best

Fit

Age Related Best

Fit (+ 1 SD)

Age Related Best

Fit (-1 SD)

Emphysema

Metastases

0.26

0.35

0.31

0.38

0.24

0.06

0.60

1.45

1.39

1.42

1.37

1.47

1.59

1.23

Dose Correction Factors Based on

Different Lung Density Assumptions

+4

-1

+2

-2

+5

+14

-12

TISSUE INHOMOGENEITY CORRECTIONS

FOR MEGAVOLTAGE PHOTON BEAMS

Report of Task Group 65 of the Radiation Therapy Committee of the American Association of Physicists in Medicine

Nikos Papanikolaou

Jerry J. Battista

Arthur L. Boyer

Constantin Kappas

Eric Klein

T. Rock Mackie

Jeff V. Siebers

Michael Sharpe

Jake Van Dyk

University of Arkansas, Little Rock, Arkansas, USA

London Regional Cancer Centre, London, Ont., Canada

Stanford University, Stanford, California, USA

University of Thessaly, Medical School, Larissa, Hellas

Mallinckrodt Institute of Radiology, St Louis, MO, USA

University of Wisconsin, Madison, Wisconsin, USA

Virginia Commonwealth University, Richmond, Virginia

Princess Margaret Hospital, Toronto, Canada

London Regional Cancer Centre, London, Ont., Canada

Physics of Photon Dose Calculation Problem

Incident photons

(spectrum)

Scattered photons

Scattered electrons

2

Magnitude of Effects

Photon scatter

Depth Field size

(cm) (cm)

Scatter (% of total dose)

Co-60 6 MV 18 MV

5

10

20

5 x 5

10 x 10

25 x 25

12

24

48

8

18

38

7

14

27

Range of scattered electrons

Range

Forward (cm)

Lateral (cm)

Co-60 6 MV 18 MV

0.5

0.2

Energy

1.5

0.4

3.0

0.8

Algorithms used for dose calculation

Measurement based

Algorithms

Model based

Algorithms

Rely on measured data in water, coupled with empirically derived correction factors to account for patient contour, internal anatomy and beam modifiers (Clarkson,

ETAR)

Use measured data to derive the model parameters. Once initialized, the model can very accurately predict the dose based on the physical laws of radiation transport

(convolution, MC)

O’Connor’s Scaling Theorem

• Dose at A = Dose at B

• d x

ρ and w x

ρ are equal

Local Energy Deposition - No Electron Transport

Equivalent Tissue Air Ratio (ETAR)

ICF

=

T ( d ' ,

T ( d , r )

)

• Uses O’Connor’s scaling theorem d & r are depth & radius of equivalent d ' &

= r are scaled versions of d & r

ρ ijk w ijk

= i j k w ijk i j k field

3

Inhomogeneity Corrections

Measured and Calculated Data

• Mackie et al

(1985)

• Effects of electron transport

– High energy

• Predicted by convolution

Non Local Energy Deposition - Electron Transport

Convolution - Point Kernel

D

= dxdydz

Φ

3 D

( , , ) K pt

( , , )

Convolution: Dose Computation

muscle ρρρρ =1 gr/cm 3 lung ρρρρ =0.25 gr/cm 3

4

Convolution Lung Calculation

Convolution/Superposition Homogeneous Scatter Homogeneous Primary and Scatter

Planning Study @ WUSM

12 patients

• Homogenous plan

• Heterogeneous plan calculated using CMS

XiO Superposition/Convolution with same:

– MU

– Block margin

• Review of Doses to Isocenter (ICRU Ref.

Point), minimum PTV coverage, and

Critical Organs

15

18

19

20

21

10

12

13

14

Depth

(cm)

2

3

5

6

7

9

One Validation Test for Algorithm

Meas.Dose

(cGy)

100.4

95.9

88.5

84.6

81.9

76.9

74.5

70.1

68.0

66.2

64.4

58.8

55.8

53.4

51.1

80.5

77.0

75.2

73.5

71.7

65.7

62.6

59.4

56.2

Conv

-Xio

99.1

95.5

89.1

87.4

85.8

82.3

XiO conv / dose

0.988

0.996

1.007

1.033

1.047

1.070

1.080

1.099

1.106

1.110

1.113

1.118

1.122

1.111

1.101

74.2

69.8

67.7

65.8

63.9

58.5

56.3

53.8

51.3

Superp-

Xio

98.7

95.2

87.5

84.6

81.9

76.7

XiO sup

/dose

1.017

1.007

1.011

1.000

1.001

1.003

1.004

1.004

1.004

1.006

1.008

1.005

0.991

0.993

0.995

Tissue density

Lung density

Tissue density

Normal Tissue Dose

Normal Tissue % dose Increased

Cord Max dose

Esophagus Max dose

Global Hot Spot

2.0

5.5

8.9

5

Current Practice: Prescription

Heterogeneous plan used for up-front MU

Great care is taken to have weight points in tissue media (even of not isocenter)

Dose prescribed to 95% isodose

i.e., 7095cGy @ 95%, 7468cGy @

Isocenter

Limited to 6 MV, Thorax only

Continue running Homogeneous Plans, but now using Hetero. MUs

T2 N0 RLL

Homogeneous Heterogeneous

T2, N2 (SubCarinal) RLL

Homogeneous Heterogeneous

6

Thanks

• Kenneth Forster, Ph.D.

• Steven Frank, M.D.

• Paul Keall, Ph.D.

• Radhe Mohan, Ph.D.

• Michael Gillin, Ph.D.

Premise

• The most radioresistant tumor cell is the one that is not irradiated.

– Or not in the high dose region

• Would you choose a less accurate dose calc today?

Possible Rationales for NOT accounting for heterogeneity

• We're going to use Monte Carlo calculations in a few years, let's wait

• It's too hard to change.

• We've never used them before.

Responses/conclusions

• Monte Carlo is very similar to convolutionsuperposition with heterogeneity

• Implementing hetero corrections is not hard.

• And they're more accurate!

• But block margin, weighting, and energy will be chosen more accurately

7

How different are MC from

CS or PB?

• Not much!!

But isn't it difficult?

• NOPE!

History

• 5 years ago

– transferred CT info to simulator films by hand.

• CT not in Rx position

– "at least" 1cm from tumor edge to block edge

– dose calculated to midplane in a homogeneous patient

Now

• GTV contoured on Rx planning CT, with

FDG PET to identify LN

• CTV based on the literature (8mm).

• PTV

– tumor motion measured in ALL patients (ITV).

– Set up uncertainty measured (2SD=7mm)

• then block edge (~7mm)

• GTV to block edge 8+7+7=22mm

• Rx 95% of PTV gets Rx dose.

8

Now

• Able to do this on a service with

– 8 attendings

– 2 physicists

– 6 dosimetrists (that rotate)

– 12 Rx machines

• About 100 therapists

– All while implementing IMRT and other new technologies

But we've never done it before.

• But the changes to the isocenter are small, while coverage of the PTV becomes MUCH better.

Planning Characteristics

• GTV -> CTV 8 mm (Giraud et al., 2000)

• CTV -> PTV 10 mm

• PTV -> Block edge 10 mm

• Beam geometries and prescription (60-66

Gy) were those used for initial treatment.

• All beams 6MV x-rays

Planning Assumptions

• Plan 1: calculate dose to iso, homogeneous

• Plan 1H: monitor units from 1, heterogeneous

• Plan 3: adjust beam weights so that 95% of

PTV treated to target dose.

9

Case 1

• T1

• Goal 66Gy

1

1H

Case 1

1H

3

Case 1

AP

PA total

123

178

301

Monitor units

Plan 1 Plan 1H Plan 3

123

178

301

160

135

295

10

Why?

• Tumor more anterior

• Lung posterior

• Therefore, weighting should be more AP

1

1H

Case 2 18MV

1

1H

Case 2 18MV Patient Characteristics

• 29 patients with 30 tumors

• Stage I or Stage II

• CTV range: 15-359 cm 3

• PTV range: 73-760 cm 3

11

Planning Characteristics

• GTV -> CTV 8 mm (Giraud et al., 2000)

• CTV -> PTV 10 mm

• PTV -> Block edge 10 mm

• Beam geometries and prescription (60-66

Gy) were those used for initial treatment.

Planning Assumptions

• Plan 1: calculate dose to iso, homogeneous

• Plan 2: monitor units from 1, heterogeneous

• Plan 3: adjust beam weights so that 95% of

PTV treated to target dose.

Summary

• Monte Carlo is very similar to convolutionsuperposition with heterogeneity

• Hetero plans are close to Monte Carlo

– On average PTV coverage is better.

– Case-by-case can be quite different

• And it's not hard.

• But block margin, weighting, and energy will be chosen more accurately

TG-65 Recommendations

The physicist needs to understand the algorithm(s) within the TPS and MU calculation programs.

The physicist is strongly advised to test the planning system to ascertain if the system can predict common trends.

The physicist is advised to measure benchmark data for their own beam and compare with the calculated (planning system or hand calculations) data. If possible, the physicist may also use Monte Carlo calculations to support measured data.

12

TG-65 Recommendations

• The physicist should maintain an open dialogue with clinicians and be clear on limitations of the TPS. For each clinical site

(eg. left breast, right lung, larynx etc), there should be 5-10 treatment plans generated, with & without inhomogeneity corrections.

The dose prescription should be the same for both cases.

TG-65 recommends energies of 12 MV or less for lung radiotherapy.

TG-65 Recommendations

• The physicist should understand the dose calculation resolution grid, due to volumetric averaging.

Smith et al.

MedPhys, 17: 135

1990:

The Influence of

Grid Size on

Accuracy in

Radiotherapy Dose

Plotting

TG-65 Recommendations

• The physicist should keep abreast of new algorithms. The vendors should provide clear documentation of the inhomogeneity correction methods implemented.

• When physicists teach residents, tissue inhomogeneity effects on doses should be discussed.

• The physicist should finally confirm that the method to calculate treatment time or monitor units, whether it is derived by the treatment planning software, or with an alternative method, is accurate to deliver the planned absolute dose to the point of interest.

Implementation Recommendations

In addition, planning volume margins may be affected according the algorithms’ ability to calculate penumbra in the presence of inhomogeneous media, particularly lung.

Classic beam arrangements may need to be scrutinized due to the impact of increased exit dosing observed with corrections applied .

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