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Radiotherapy Treatment Planning: Objectives, Formulations and Clinical Implications Michael J Zelefsky M.D Memorial Sloan-Kettering Cancer Center New York, N.Y

Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

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Page 1: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Radiotherapy Treatment Planning:Objectives, Formulations and

Clinical Implications

Michael J Zelefsky M.DMemorial Sloan-Kettering Cancer Center

New York, N.Y

Page 2: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

New Challenges for RT Treatment Planning

• New treatment delivery systems such as IMRT have compelled physicians and physicists to more carefully consider the dose distribution over the normal tissues.

• 3D-CRT and IMRT have facilitated dose escalation strategies, placing greater demands on treatment planning.

Page 3: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

PTV

Conventional Forward Planning and 3D-CRTDefine PTV dose,treatment beams,

and specify parametersof each beam

Dose Calculation

Assess dose distribution and adjust

beam parameters until satisfactory

plan is derived

PTV

Organ at risk

Page 4: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

PTV

Organ at risk

PTV

Inverse PlanningSpecify beam directions

and dose distribution

Computes intensity-

modulatedbeams

Page 5: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Computer-aidedoptimization

derives desired treatment plan

PTV

Organ at risk

PTV

Organ at risk

••• •••

a n a..+..n..+..zz

Intensity Modulated Radiation Therapyl Inverse treatment planning

l Delivery of intensity modulated beams

Page 6: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Rectum

ProstatePTV

Bladder

RectumProstate

PTV

Bladder

Comparison of 3DComparison of 3D--CRT and IMRT CRT and IMRT Prostate Cancer Treatment Plans Prostate Cancer Treatment Plans

3D3D--CRTCRT IMRTIMRT

Page 7: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Per

cen

t G

rad

e 2-

3 R

ecta

l To

xici

ty

0 12 24 36 48 60 72 84 96Months

5

10

15

20

81 Gy 3D-CRT (61)

81 Gy IMRT (189)

p = 0.003

Grade 0-1 757/772 (98%)Grade 2 11/772 (1.5%) Grade 3 4/772 (0.5%)

Incidence of Grade 2-3* Rectal Toxicity in Prostate Cancer Patients Treated to 81 Gy by 3D-CRT and IMRT

*One case of grade 3 rectal bleeding in each treatment group

Page 8: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Normal Tissue Considerations

• Dose-volume constraints for each normal organ need to be established to minimize treatment-related toxicities.

• These constraints ultimately need to be incorporated into the treatment plan and balanced with target coverage parameters.

Page 9: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Correlation of Mean DVH With Rectal Bleeding at >30 Months After 3D-CRT

75.6 Gy

Prescription Dose (%)

0 20 40 60 80 100

Rec

tal V

olu

me

(%)

0

20

40

60

80

100

No Rectal Bleeding (82)Rectal Bleeding (36)

p=0.0001

Page 10: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

0

20

40

60

80

100

0 2000 4000 6000 8000Dose (cGy)

Vo

lum

e (%

)

PTV Rectal Wall Bladder Wall

47 Gy

53%

Incorporating Rectal Constraints in the Treatment Plan

Page 11: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Target Dose Constraints

• Homogeneity factors considered

• Penalties assigned for overdosage (lower penalty) and underdosage (greater penalty)

• Dose painting reported by the UCSF group to selectively intensify dose to regions of the target

• Inhomogeneity may be more preferable!

Page 12: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

P Pul

target

w (D-P )2

uu

w (D-P )2l l

organ at risk

Dc

wc(D-Dc)2

MSKCC OBJECTIVE FUNCTION

“Beamlets”

Greater penalty applied for target underdosage

Page 13: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Dose-Volume Constraint Templates

Page 14: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Prostate Cancer IMRT Planning at MSKCC

l A coplanar, non-collinear, 5-field arrangement is used

Dose constraints and penalties for 81 Gy plan:Dose constraints and penalties for 81 Gy plan:

PTV minus rectum overlap:PTV minus rectum overlap: Prescription dose = 100%Prescription dose = 100%Minimum dose = 98%, penalty = 50Minimum dose = 98%, penalty = 50Maximum dose = 102%, penalty = 50Maximum dose = 102%, penalty = 50

PTV plus rectum overlap: PTV plus rectum overlap: Prescription dose = 95%Prescription dose = 95%Minimum dose = 93%, penalty = 10Minimum dose = 93%, penalty = 10Maximum dose = 96%, penalty = 20Maximum dose = 96%, penalty = 20

Rectal wall:Rectal wall: Maximum dose = 95%, penalty = 20Maximum dose = 95%, penalty = 2070% of rectal volume receives < 40%70% of rectal volume receives < 40%maximum dose, penalty = 20maximum dose, penalty = 20

Bladder wall:Bladder wall: Maximum dose = 98%, penalty = 35Maximum dose = 98%, penalty = 3570% of bladder volume receives < 40%70% of bladder volume receives < 40%maximum dose, penalty = 20maximum dose, penalty = 20

Page 15: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Nasopharynx Cancer - Comparison of Conventional and IMRT Treatment Plans

Prescription:Gross disease: ≥ 70 GyMicro. disease: ≥ 54 GyBID after 36 Gy

Constraints:Min PTV isodose - 100%Max PTV isodose - 120%Max cord dose - 40 GyMax brainstem dose - 45 Gy

Conventional IMRT

e- e-

< 50 Gy 60-65 Gy > 70Gy

Prescription:Gross disease: 70 Gy Micro. disease: 54 Gy

Laterals to 70 Gy

Posterior e- strips

Page 16: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Nasopharynx IMRTNasopharynx IMRTPlan Goals versus ConstraintsPlan Goals versus Constraints

Structure Max/Pen. Min/Pen. Vol. Max. Dose Vol.

PTV 105%/50 95%/50 -- 120% (84 Gy) D95 > 95%

Cord 40%/50 -- -- 57% (40 Gy)

Brain Stem 50%/50 -- -- 65% (45 Gy)

Cochlea 45% 20 77% (54 Gy)

Parotid 70%/50 -- --

Parotid 23% 20 30%

Mean Dose 37% (26 Gy)

Page 17: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Set Constraints

Optimize

NT dose Too high

PTV Too high

No significant Change

↑ NT Constraint

Or ↓ Penalty

Both PTV & NT

acceptable

Both PTV & NT

unacceptable

Change NT Constraint

Change NT penalty

STOP

Strategy for Determining Optimization Parameters

Page 18: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

0

20

40

60

80

100

0 20 40 60 80 100 120

Dose (% of Prescription)

% V

olu

me

Five Fields, Parameter Set 1

Bladder Wall Optimization Parameters:Maximum Dose: 95%, Penalty: 50Dose Volume: ≤ 30% Vol. to ≥ 34% of Rx., Penalty: 20

PTVV95: 90%V100: 65%Bladder

V47Gy: 53%

Page 19: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

0

20

40

60

80

100

0 20 40 60 80 100 120

Dose (% of Prescription)

% V

olu

me

Bladder Wall Optimization Parameters:Maximum Dose: 95%, Penalty: 50Dose Volume: ≤ 30% Vol. to ≥ 55% of Rx., Penalty: 20

Five Fields, Parameter Set 2

PTVV95: 96%V100: 83%Bladder:

V47Gy: 61%

Page 20: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

0

20

40

60

80

100

0 20 40 60 80 100 120

Dose (% of Prescription)

% V

olu

me

Seven Fields, Parameter Set 3

PTVV95: 93%V100: 81%Bladder

V47Gy: 53%

Bladder Wall Optimization Parameters:Maximum Dose: 95%, Penalty: 50Dose Volume: ≤ 30% Vol. to ≥ 38% of Rx., Penalty: 20

Page 21: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Optimization of Treatment Plans

• Current approach balances dose constraints and limitations applied to the normal tissues and target coverage

• Penalties applied for plans where constraints are exceeded

• Not routine for rewards to be applied for discriminating and selecting plans that achieve lower doses to normal tissues.

Page 22: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

PTVGR GTV

40 47 55 63 70 Gy

Cochlea

Optimization Parameters and Target-NormalTissue Proximity

0

20

40

60

80

100

0 20 40 60 80

Dose (Gy)

% V

olum

e

PTV

Lt. Cochlea

Page 23: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

PTVGR PTVEL

40 47 55 63 70 Gy

Cochlea

Optimization Parameters and Target-NormalTissue Proximity

0

20

40

60

80

100

0 20 40 60 80

Dose (Gy)

% V

olum

e

PTV

Lt. Cochlea

Page 24: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

PTVGR PTVEL

40 47 55 63 70 Gy

Cochlea

0

20

40

60

80

100

0 20 40 60 80

Dose (Gy)

% V

olum

e

Optimization Parameters and Target-NormalTissue Proximity

PTV

Lt. Cochlea

Page 25: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

• Software captures and stack the axial ultrasound images and the position of the needles.

• Prostate and normal organs are reconstructed in 3-dimensions.

• Genetic algorithm determines the optimal seed coordinates to satisfy dose-volumes constraints for urethra, rectum and target.

Intraoperative Conformal Planning for Prostate Brachytherapy at

MSKCC using a Genetic Algorithm

Page 26: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Genetic Algorithm-I

• Optimization code with operating mechanism that relies on “natural selection”.

• “Member of the population” represents a specific seed-loading pattern

• Each seed represents a “chromosome”

• Algorithm evaluates each seed arrangement according to an objective function using dose constraints and weighting factors for normal tissues and target

Page 27: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Genetic Algorithm-II

• “Members of the population” evaluated to how the seed-loading pattern meet the criteria of the objective function.

• “Best fit” individual preferentially selected to serve as “parents” for next generation.

• Iterative process continues until best fit solution found after 6000 generations

Page 28: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Intraoperative Conformal Planning for Seed Implants at MSKCC

• Inverse planning system which incorporates a genetic algorithm for optimization

• Target Constraints– Minimum dose of 144 Gy

• Urethra <125% of prescription dose• Rectum < 100% of prescription dose

Page 29: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Target Coverage According to Technique

75

80

85

90

95

100

%V100 %V90 D90

CT Pre-PlanUltrasound ManualIntraoperative 3D

%

P < 0.001

(Zelefsky et al IJROBP -2000)

Page 30: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Urethral Dose According to Technique

0

50

100

150

200

250

300

350

ave urethral dose max urethral dose

CT Pre-PlanUltrasound ManualIntraoperative 3D

% o

f p

resc

rip

tio

n

P < 0.001

(Zelefsky et al IJROBP -2000)

Page 31: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Conclusions

• New treatment delivery systems have placed increased challenges for radiotherapy treatment planning

• Optimization strategies currently rely on dose constraints and penalties for exceeding pre-determined dose limitations.

• In the future, new paradigms such as biologic-based variables will need to incorporated into such strategies.

Page 32: Radiotherapy Treatment Planning: Objectives, Formulations ... · radiotherapy treatment planning • Optimization strategies currently rely on dose constraints and penalties for exceeding

Conclusions

• Because of variations in the proximity of normal tissues to target, the same constraints for each patient will not consistently identify the “best plans”.

• While these dose-volume constraints are not exact and will not lead to the optimal solutions, new optimization strategies which select the most feasible solution will likely impact upon improving conformality and treatment outcome.