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S462

ESTRO 36

_______________________________________________________________________________________________

Purpose or Objective

Artificial neural networks (ANNs) were used in the last

years for the development of models for the prediction of

radiation-induced toxicity following RT. In fact, ANNs are

powerful tools for pattern classification in light of their

ability to model extremely complex functions and huge

numbers of data. However, their major counterpoint is

that in some specific cases they might not deliver realistic

results due to their missing critical capacity. The objective

of this study was to develop a method for assessing

reliability of ANNs response over the entire range of

possible input variables. In particular, in this study the

method was applied to the selection of an ANN for the

prediction of late faecal incontinence (LFI) following

prostate cancer RT.

Material and Methods

The analysis was carried out on 664 patients (pts) of two

multicentre trials. The following information was

available for each pt: i) self completed pt reported

questionnaire (PRO) for LFI determination, ii) clinical data

(co-morbidity, previous abdominal surgery and use of

drugs), iii) dosimetric data (DVH and mean dose).

Several feed-forward ANNs with a proper balance between

complexity and number of training cases were developed,

with input variables and hidden neurons ranging between

3 and 5. Once the best ANNs were obtained, a method was

developed and applied to verify the reliability of their

response over the entire range of possible input variables.

The method consists in the development of a virtual

library of variables covering all the possible

ranges/permutations of continuous/discrete inputs. These

are all classified and penalties (pen) are assigned if ANN

outputs are not coherent with the real world expectance

(i.e., decreasing LFI probability with increasing dose to

the rectum).

Results

More than 1,000,000 different ANN configurations (i.e.,

architecture and internal weights and thresholds) were

developed. For the 200 ANNs showing the best

performance, area under the ROC curve (AUC), sensitivity

(Se), specificity (Sp) and pen were quantified. The best

ANN in terms of classification capability (i.e. AUC=0.79,

Se=74%, Sp=72%) was an ANN with 5 inputs (i.e., mean

dose, use of antihypertensive, previous presence of

haemorrhoids, previous colon disease, hormone therapy)

and 5 hidden neurons. However, the application of the

method to investigate its coherence with the real life

classification expectancy resulted in pen=3, indicating

that this wasn’t the most 'intelligent” ANN to select. The

best ANN with pen=0 was a less complex ANN (i.e. 3 inputs,

5 hidden neurons), resulting in AUC=0.67, Se=70%, Sp=57%.

Conclusion

A new method consisting in the development of a virtual

library of cases was established to evaluate ANN reliability

after its training process. Application of this method to

the development of an ANN for LFI prediction following

prostate cancer RT allowed us to select an ANN with the

best generalization capability.

PO-0852 External validation of a TCP model predicting

PSA relapse after post-prostatectomy Radiotherapy

S. Broggi

1

, A. Galla

2

, B. Saracino

3

, A. Faiella

3

, N. Fossati

4

,

D. Gabriele

5

, P. Gabriele

2

, A. Maggio

6

, G. Sanguineti

3

, N.

Di Muzio

7

, A. Briganti

4

, C. Cozzarini

7

, C. Fiorino

1

1

IRCCS San Raffaele Scientific Institute, Medical Physics,

Milano, Italy

2

Candiolo Cancer Center -FPO- IRCCS, Radiotherapy,

Candiolo Torino, Italy

3

Regina Elena National Cancer Institute, Radiotherapy,

Roma, Italy

4

IRCCS San Raffaele Scientific Institute, Urology, Milano,

Italy

5

University of Sassari, Radiotherapy, Sassari, Italy

6

Candiolo Cancer Institute -FPO- IRCCS, Medical Physics,

Candiolo Torino, Italy

7

IRCCS San Raffaele Scientific Institute, Radiotherapy,

Milano, Italy

Purpose or Objective

A Poisson-based TCP model of 5-year biochemical

recurrence-free survival (bRFS) after post-prostatectomy

radiotherapy (RT) was previously introduced: best

parameters values were obtained by fitting a large (n=894

≥pT2, pN0, hormone-naïve patients) multi-centric

population including data from five prospective /

Institutional series; a satisfactory internal validation was

performed. Current investigation dealt with an

independent external validation on a large group of

patients pooled from two independent Institutional

databases with a minimum follow-up of 3 years.

Material and Methods

Based on the original model, bRFS may be expressed as: K

x (1-exp(-αeff D))

CxPSA

where: D is the prescribed dose; αeff

is the radiosensitivity factor; C is the number of clonogens

for pre-RT PSA=1ng/ml, assuming PSA to be proportional

to tumor burden; K (equal to 1-BxPSA) is the fraction of

patients who relapse due to clonogens outside the treated

volume, depending on pre-RT PSA and Gleason Score (GS).

The model works well when grouping patients according

to their GS value: best-fit values of αeff (range: 0.23-

0.26), C (10

7

) and B (0.30-0.50) were separately derived

for patients with GS<7, GS=7 and GS>7. For current

external validation, data of 352 ≥pT2, pN0, hormone-naïve

patients treated with conventionally fractionated

adjuvant (175) or salvage (177) intent after radical

prostatectomy were available from two Institutions not

previously involved in the training data set analysis. The

predicted risk of 5-year bRFS was calculated for each

patient, taking into account the slope and off-set of the

model, as derived from the original calibration plot. Five-

year bRFS data were compared against the predicted

values in terms of overall performance, calibration and

discriminative power.

Results

The median follow-up time, pre-RT PSA and D were 83

months (range: 36-216 months), 0.28 ng/mL (0.01-9.01

ng/mL) and 70.2Gy (66–80Gy); the GS distribution was:

GS<7: 118; GS=7: 185; GS>7: 49. The performances of the

model were excellent: the calibration plot showed a

satisfactory agreement between predicted and observed

rates (slope: 1.02; R

2

=0.62, Figure 1). A moderately high

discriminative power (AUC=0.68, 95%CI:0.62-0.73) was

found, comparable to the AUC for the original data set

(0.69, 95%CI:0.66-0.73). The predicted 5-year bRFS for the

whole population assessed as the weighted average of the

values referred to the three groups (i.e.: GS<7, =7, >7)

was 67%, compared to an observed 5-year bRFS equal to

68% ± 5% (95%CI). The agreement was slightly worse in the

GS<7 group (70% vs 79% ± 7%) compared to GS=7 (66% vs

66% ± 7%) and GS>7 (62% vs 51% ± 14%).