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Treatment Planning and Protons Treatment Planning and Protons Radhe Mohan PhD Radhe Mohan, PhD 1 SWAAPM Meeting, Houston, TX October 9 - 10, 2009

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Page 1: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Treatment Planning and ProtonsTreatment Planning and Protons

Radhe Mohan PhDRadhe Mohan, PhD

1

SWAAPM Meeting, Houston, TXOctober 9 - 10, 2009

Page 2: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

2

Page 3: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

The more you learn, the more you realizeThe more you learn, the more you realize how little you know …

Attributed to Socrates by Platoy

3

Page 4: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

OutlineOutline

Characteristics of protonsCharacteristics of protonsDose calculationsUncertaintiesPassively scattered protons strategiesy p gScanning beam and IMPT strategiesLimitation of the concept of PTVLimitation of the concept of PTVPlan robustnessSome clinical resultsProton therapy research at MDACC

4

py

Page 5: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Characteristics of ProtonsCharacteristics of Protons

Loose energyPristine Bragg peak due Loose energy continuouslyDeposit less energy

Pristine Bragg peak due to a pencil beam of

protons in homogeneous Deposit less energy per unit pathlength in plateau and more

p gphantom

p ateau a d o enear the end of the range

Dos

e

Have a finite range –they stop

D

5Depth

Page 6: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

To Make Protons Useful for Radiotherapy …

Thin pencil beams must be spread laterally and longitudinally

Page 7: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

The Passive Scattering Mode of Proton Beam DeliveryBeam Delivery

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Page 8: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Dose Calculations for Passively Scattered Proton Therapy

SOBP is decomposed into pencils and

Proton Therapy

SOBP is decomposed into pencils and layers of energyIntegral of each pencil across a planeIntegral of each pencil across a plane for each energy is its depth doseLateral dose distribution approximated by multiple Gaussians to account for MCS, nuclear i i

Xinteractions, etc.Ray tracing used to approximately account for inhomogeneities

2400

2600

2800

2400

2600

2800

account for inhomogeneitiesEmpirical corrections and fitting of parameters leads to acceptable 1600

1800

2000

2200

1600

1800

2000

2200

8

parameters leads to acceptable accuracy in most situations

50 100 150 200 250 300

1200

1400

Y distance [pixels]50 100 150 200 250 300

1200

1400

Y distance [pixels]

Page 9: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Uncertainties in Proton TherapyUncertainties in Proton Therapy

Inter-and intra-fractional variationsInter-and intra-fractional variationsDosimetric : CT numbers, high-Z artifacts,

i t t i dconversion to stopping powers, dose computation approximationsAssumption of Radiobiological Effectiveness (RBE) to be 1.1…

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Page 10: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Proton Therapy of Moving Lung TumorsProton Therapy of Moving Lung Tumors

Prescription Dose Line

Treatment planned based on single free-breathing CT

The same treatment plan calculated on 10 phases of

10

image (perceived dose distribution)

pthe 4D CT image

Dong

Page 11: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Inter-Fractional Variations

IMRT: 7 beams plan

Original Plan After Two weeks of Radiotherapy

p

Proton: 3 beams planProton: 3 beams plan

11Zhang

Page 12: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Vulnerability of Protons to UncertaintiesVulnerability of Protons to Uncertainties

Protons more sensitive to uncertainties thanProtons more sensitive to uncertainties than photonsI t i d l (i th 1980 )Importance recognized early (in the 1980s)

Limited by tools by today’s standard (repeat CTs, 4D CT) t bt i tit ti i f ti b t4D CT) to obtain quantitative information about the consequences and find solutions

Rudimentary early solutions were developedRudimentary early solutions were developed …

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Page 13: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Accounting for UncertaintiesAccounting for Uncertainties

Margins, Apertures and g , pCompensators

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Page 14: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Beam Specific Margins for UncertaintiesBeam-Specific Margins for Uncertainties -

Proximal Margin

Protons

Proximal Margin

CTV Lateral Margin =Lateral Margin PTV Margin

14

Distal Margin

Page 15: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Compensator “Smearing” to Account for Lateral P iti Ch i I h itiPosition Changes in Inhomogeneities

15 Urie, et al, Phys. Med. Biol., 1983.

Page 16: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Scanning Beams and Intensity Modulated Proton TherapyIntensity Modulated Proton Therapy

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Page 17: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Scanning Beams and IMPTScanning Beams and IMPTBeam 174 MeV

3.2mBeam Profile Monitor

Beamlet

Scanning Magnets

Helium Chamber

S t P iti M itSpot Position MonitorDose Monitor 1, 2 20 cm

17

Isocenterσ = 0.8 cm

Page 18: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Scanning Beams and IMPTScanning Beams and IMPT

Range of energies (72 – 221 MeV for Hitachi)Range of energies (72 – 221 MeV for Hitachi)Spots positioned by magnetic steeringDiscrete spot scanning or raster scanning Spots from placed in layers in the target for p p y geach of multiple fieldsSpot intensities determined usingSpot intensities determined using optimization techniques

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Page 19: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Layer-by-Layer Scanning of Proton Beamlets for IMPTProton Beamlets for IMPT

19 Spot positionMovie.10Movie.10 Cumulative dosedoseMovie.9Movie.9

Page 20: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Dose Calculations for Intensity Modulated Proton TherapyProton Therapy

Beamlets are assumed to be GaussianBeamlets are assumed to be GaussianApproximations related to

Scattering from beam line componentsNuclear interactions

Contributions from thousands of “spots” of specified energies and intensities constituting the scanned beam are summedMinor inaccuracies can add up to significant p gdiscrepancies

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Page 21: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Intensity Modulated Proton TherapyIntensity Modulated Proton Therapy

Three possible IMPT optimization strategiesThree possible IMPT optimization strategiesSingle field uniform dose (SFUD)

Robustness similar to PSPTRobustness similar to PSPT

3D IMPTIn-between robustnessIn between robustness

Distal edge trackingMost vulnerable to uncertaintiesost u e ab e to u ce ta t es

No need for compensatorNormally no apertureNormally, no aperture

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Page 22: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Accounting for Uncertainties in IMPTAccounting for Uncertainties in IMPT

No such thing as smearing - consequences ofNo such thing as smearing - consequences of lateral variations in inhomogeneities ignoredF SFUD di t l d i l iFor SFUD, distal and proximal margins = those for PSPTFor 3D IMPT and DET, no current solutionFuture solution- Robust optimizationp

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Page 23: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Evaluation of Proton Plans

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Page 24: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

The PTV Concept is Not Valid for ProtonsThe PTV Concept is Not Valid for Protons

Main reason: Planning margins to CTV areMain reason: Planning margins to CTV are different in different directions and for different beamsdifferent beamsThen how do we

Evaluate plans using DVHsCompare proton plans with photon plansAdd proton dose distributions to photon dose distributions

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Page 25: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

PTV Concept is Not Adequate Even for PhotonsEven for Photons

PTV

CTVCTV

DVH for PTV represents the “worst” case scenarioDVH for CTV represents the “best” case scenariao

25

p

Levegrun et al, IJROPB 2000: No prostate dose response

Page 26: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

One Solution

“Uncertainty” (or “Worst Case”) Analysis

26

Page 27: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Parallel Opposed Prostate – TransversePrescription (75 6 CGE) Isodose

5 mm Post.Prescription (75.6 CGE) Isodose

Range –3.5%g

Range +3.5%

Nominal

275 mm Ant.

Page 28: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Some Clinical ResultsSome Clinical Results

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Page 29: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Planning Study (23 patients) to Design Randomized PSPT vs IMRT NSCLC TrialRandomized PSPT vs. IMRT NSCLC Trial

0 001

(%)

Aut oPl an Dosi mpl an Pr ot onpl an

0 820. 00

0. 0790. 015

0. 0010. 001

0. 230. 4010. 0010. 0

0. 00030. 005

60708090

100

ativ

e Vo

lume

0. 9

0. 820. 450. 079

0. 0

0. 4010. 069

01020304050

[Gy]

or

Rela

0

PTVD

at95

%V

PTVD

2cc

Lung

Vat 5

Gy

Lung

Vat 2

0Gy

MLD

Cor d

Dose

at1%

V

EsoD

1/3G

y

Hear

t D1/

3Dose

Dose-volume indices are averaged over 23 patient

29

Page 30: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

D-V Indices of the First 5 Patients Enrolled on R d i d PSPT IMRT NSCLC T i lRandomized PSPT vs. IMRT NSCLC Trial

8000

Aut oPl an Cl i ni cal Phot on Cl i ni cal Pr ot on

6000

7000

3000

4000

5000

Dose

[cG

y]

1000

2000

3000Do

0

1000

PTVD95 LungV20 MLD Cor dD1% EsoD1/ 3 Hear t D1/ 3

30Dose-volume indices are averaged over 5 patient

Page 31: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Proton Therapy vs. 3D CRT & IMRT of Locally Advanced NSCLCLocally Advanced NSCLC

Median Total DoseMedian Total Dose3D CRT & IMRT: 63 GyProton therapy: 74 CGEProton therapy: 74 CGE

Esophagitis Gr ≥ 3 Tx Related Pneumonitis Gr ≥ 3

40.00%45.00%

Esophagitis Gr ≥ 3

30 00%

35.00%

Tx Related Pneumonitis Gr ≥ 3

3D CRTIMRTP t

25.00%30.00%35.00%

20.00%25.00%30.00%

Protons

10.00%15.00%20.00%

5 00%

10.00%15.00%

310.00%5.00%

0.00%5.00%

Page 32: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Reduction of Bone Marrow Toxicity inReduction of Bone Marrow Toxicity inReduction of Bone Marrow Toxicity in Reduction of Bone Marrow Toxicity in Patients with LA NSCLC treated with Patients with LA NSCLC treated with Concurrent ChT/ PBT compared to IMRTConcurrent ChT/ PBT compared to IMRTConcurrent ChT/ PBT compared to IMRTConcurrent ChT/ PBT compared to IMRT

Ritsuko Komaki,M.D,

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Page 33: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Tumor Volume and BM toxicityTumor Volume and BM toxicity

GTV (cc)GTV (cc) NN % of % of >>2 Grade 2 Grade Hemoglobin Hemoglobin

EventsEvents

P valueP value % of % of >>2 Grade 2 Grade PlateletsPlateletsEventsEvents

P valueP value

(%)(%) (%)(%)

>>100100 PBT = 19PBT = 19IMRT= 64IMRT= 64

1 (5%) 1 (5%) 24 (38%)24 (38%)

<0.001<0.001 1 (5%)1 (5%)3 (5%)3 (5%)

0.0290.029IMRT= 64 IMRT= 64 24 (38%) 24 (38%) 3 (5%)3 (5%)

>>200200 PBT = 7PBT = 7IMR 43IMR 43

0 (0%)0 (0%)19 (44)19 (44)

0.0010.001 1 (14%)1 (14%)2 (5%)2 (5%)

0.0560.056IMR= 43IMR= 43 19 (44)19 (44) 2 (5%)2 (5%)

>>300300 PBT = 5PBT = 5 0 (0%)0 (0%) 0.720.72 0 (0%)0 (0%) 0.3070.307IMR= 30IMR= 30 14 (47)14 (47) 2 (7%)2 (7%)

>>400400 PBT = 3PBT = 3 0 (0%)0 (0%) 0.1980.198 0 (0%)0 (0%) 0.7540.754IMR= 26IMR= 26

( )( )7 (27%)7 (27%)

( )( )2 (8%)2 (8%)

>>500500 PBT = 2PBT = 2 0 (0%)0 (0%) 0.3960.396 0 (0%)0 (0%) 0.3660.366

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>>500500 PBT 2PBT 2IMR = 19IMR = 19

0 (0%)0 (0%)7 (37%)7 (37%)

0.3960.396 0 (0%)0 (0%)1 (5%)1 (5%)

0.3660.366

Page 34: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Tumor Volume and BM toxicityTumor Volume and BM toxicity

GTV GTV (cc)(cc)

NN % of % of >>2 2 Grade Grade

NeutrophilNeutrophil

P P valuevalue

% of % of >>2 2 Grade Grade WBCWBC

P P valuevalue

% of % of >>2 2 Grade Abs. Grade Abs.

LymphocyteLymphocyte

P valueP value

Neutrophil Neutrophil EventsEvents

(%)(%)

WBCWBCEvents Events

(%)(%)

Lymphocyte Lymphocyte EventsEvents

(%)(%)

>>100100 PBT = 19PBT = 19IMRT=62 IMRT=62

554444

0.0280.028 26266767

0.0140.014 1001009797

<0.001<0.001

>>200200 PBT = 7PBT = 7IMRT= 42IMRT= 42

004343

0.270.27 14146363

0.1820.182 1001009898

0.0010.001

>>300300 PBT = 5PBT = 5IMRT = 29IMRT = 29

004848

0.3280.328 20206363

0.2740.274 1001009696

<0.006<0.006

>>400400 PBT = 3PBT = 3IMRT= 25IMRT= 25

004040

0.7040.704 33335757

0.4280.428 1001009696

0.6120.612

34>>500500 PBT = 2PBT = 2

IMRT = 18IMRT = 1800

33330.8130.813 5050

44440.5790.579 100100

1001000.8810.881

Page 35: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Current Research at MDACC (In Collaboration with MGH)(In Collaboration with MGH)

Reduction in uncertainties andReduction in uncertainties and accounting of residual uncertainties

Stopping powers improvementStopping powers improvementGating and breath-holdAdaptive replanningp p gDose calculation accuracy

IMPT developmentpRobust optimizationEvaluation of robustness of treatmentEvaluation of robustness of treatment plansDose accumulation

35

Dose accumulationTrials and studies

Page 36: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

SummarySummary

Abundant room for improvement ofAbundant room for improvement of efficiency, cost-effectiveness, accuracy and quality of treatmentsand quality of treatmentsA boon and a bain for physicistsEven in the current state of the art PT has the potential to be significantly superior for certain sites

LungPediatrics…

36Future potential is great

Page 37: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

However, Be Mindful of Irrational Exuberance LestExuberance Lest …

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Page 38: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Parachute use to prevent death and major trauma l t d t it ti l h ll t ti i frelated to gravitational challenge: systematic review of

randomised controlled trials – Smith et al, BMJ 2003;327:1459-14612003;327:1459-1461

Conclusion:As with many interventions intended to prevent ill health, the effectiveness of parachutes has not been subjected to rigorous evaluation by usingbeen subjected to rigorous evaluation by using randomised controlled trials. Advocates of evidence based medicine have criticised the adoption of interventions evaluated by using only observational data. We think that everyone might benefit if the mostWe think that everyone might benefit if the most radical protagonists of evidence based medicine organised and participated in a double blind,

38

randomised, placebo controlled, crossover trial of the parachute.

Page 39: Mohan - SWAAPM - Treatment Planning and Protons V4chapter.aapm.org/swaapm/Past/Fall2009/2009_Fall_Papers/Z... · 2012-05-03 · Radhe Mohan PhDRadhe Mohan, PhD 1 SWAAPM Meeting, Houston,

Thank YouThank You

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