The use of the normal tissue non-complication probability (NTCP0) in the safety evaluations as a new alternative of assessing the side-effects of the radiation oncology treatments

Frometa-Castillo, Terman; Pyakuryal, Anil; Narayanasamy, Ganesh; Wals-Zurita, Amadeo; Mesbahi, Asghar

doi:10.1080/09553002.2022.2110299

Cited by 2 publications

(2 citation statements)

References 9 publications

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“…The radiation oncology treatment is a stochastic process (SP) that involves the tumor control (TC) , normal tissue non-complication (NTC0) and normal tissue complications, which are independent stochastic variables (SVs), and associated respectively to probabilistic metrics TCP, NTCP0 and NTCPi (i=1..nc, nc: Number of complications). NTCP0 has been recently introduced in the radiotherapy, as described in [8][9][10].…”

Section: Product Of Probabilities (Pps)mentioning

confidence: 99%

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Use of the Bayesian statistics and the product of probabilities in the ionizing radiation field

Frometa-Castillo,

Pyakuryal,

Narayanasamy

2024

Radiation Physics and Chemistry

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Section: Product Of Probabilities (Pps)mentioning

confidence: 99%

“…In [8] and [10] we have developed a new formulation of the NTCP for multiple organs at risks or End-points, which we have called as the total NTCP (TNTCP=1-NTCP0), and expressed as…”

Section: Product Of Probabilities (Pps)mentioning

confidence: 99%

Use of the Bayesian statistics and the product of probabilities in the ionizing radiation field

Frometa-Castillo,

Pyakuryal,

Narayanasamy

2024

Radiation Physics and Chemistry

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Use of the Bayesian statistics and the product of probabilities in the ionizing radiation field

Castillo

Pyakuryal

Narayanasamy

et al. 2023

Preprint

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Nowadays, the probability of the intersection (PI) of two or more stochastic events or processes is calculated as the product of probabilities (PPs). The Bayes’ theorem (BT) is widely used in the ionizing radiation field. We will show the PI is not only obtained as the PPs; but the minimum of their probabilities; and demonstrate that terms P(B|A) and P(A|B) in the BT are not new probabilistic metrics, but the own respective probabilities of B and A events. Mathematical derivations based on strong probabilistic foundations, and with their respective illustrations were our methodology. There are demonstrations of: 1) The two ways for determining the PI; and 2) Incoherencies of the BT. The tumor control probability (TCP) and normal tissue non-complication probability (NTCP0) of the radiation oncology treatments to patients with more than one target, calculated respectively as the product of TCP, and NTCP0 of each treatment, are excellent-practical examples in the determination of the PI using PPs. Given previously explained conditions of the BT terms; the use of this theorem should be re-considered. The current determination of the PI using the PPs is not valid for stochastic variables belonging to a stochastic event or process.

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The use of the normal tissue non-complication probability (NTCP0) in the safety evaluations as a new alternative of assessing the side-effects of the radiation oncology treatments

Cited by 2 publications

References 9 publications

Use of the Bayesian statistics and the product of probabilities in the ionizing radiation field

Use of the Bayesian statistics and the product of probabilities in the ionizing radiation field

Use of the Bayesian statistics and the product of probabilities in the ionizing radiation field

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