Combinatorial optimisation in radiotherapy treatment planning

Altobelli, Emma; Amichetti, Maurizio; Langiu, Alessio; Marzi, Francesca; Mignosi, Filippo; Pisciotta, Pietro; Placidi, Giuseppe; Rossi, Fabrizio; Russo, Giorgio; Schwarz, Marco; Smriglio, Stefano; Vennarini, Sabina

doi:10.3934/medsci.2018.3.204

Cited by 4 publications

(2 citation statements)

References 44 publications

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“…In all these approaches it is essential to express the problem in form of an equation or a model [40][41][42][43][44][45][46]. Due to the complexity of the natural phenomena, several criteria can be used to obtain the best mathematical modeling for a given problem [47][48][49][50][51]. Our purpose is to study the effect of an independent variable on one or more dependent variables, and to assess the possible existence of a relationship between them.…”

Section: Mathematical Modeling and Statistical Analysismentioning

confidence: 99%

The Role of Swab Tests to Decrease the Stress by COVID-19 on the Health System using AI, MLR & Statistical Analysis

Nejad

Violini

Pirouz

2020

Preprint

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Objectives: The outbreak of the new Coronavirus (COVID-19) pandemic has prompted investigations on various aspects. This research aims to study the possible correlation between the numbers of swab tests and confirmed cases of infection, with special attention to the sickness level. Study Design: The study is carried out with reference to the Italian case, but the result is of more general importance, in particular for countries with limited availability of ICUs (intensive care units). Methods: The statistical analysis shows correlation between the number of swab tests and those of daily positive cases, mild cases admitted to hospital, intensive care cases, recovery, and death rate, and provides a basis to carry on an AI study. The results were validated using a multivariate linear regression (MLR) approach. Results: Our main result is the identification of a significant statistical effect of reduction of the pressure on the Health system as result of the increase of the tests. The relevance of this result is not confined to the COVID-19 outbreak, because the high demand of hospitalizations and ICU treatments due to this pandemic has an indirect effect on the possibility of guaranteeing an adequate treatment for other high-fatality disease, such as e.g. cardiological, and oncological. Conclusions: Our results show that swab testing may play a major role to decrease the stress on the Health system of a country. Therefore, this case study is relevant in particular for the planning of the control of the pandemic in countries with a limited capacity of admission to ICU s units.

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Section: Mathematical Modeling and Statistical Analysismentioning

confidence: 99%

The Role of Swab Tests to Decrease the Stress by COVID-19 on the Health System using AI, MLR & Statistical Analysis

Nejad

Violini

Pirouz

2020

Preprint

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“…The treatment planning presents several computational bottlenecks, such as the accurate computation of beams dose profiles [5], [6] and the development of treatments including the set of irradiation directions, called fields (or angles) and fluences, that provide the best outcome for patients [7], [8].…”

Section: Introductionmentioning

confidence: 99%

Optimizing Nozzle Travel Time in Proton Therapy

Spezialetti

Filippo

Lorenzo

et al. 2022

2022 IEEE 35th International Symposium on Computer-Based Medical Systems (CBMS)

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Proton therapy is a cancer therapy that is more expensive than classical radiotherapy but that is considered the gold standard in several situations. Since there is also a limited amount of delivering facilities for this techniques, it is fundamental to increase the number of treated patients over time. The objective of this work is to offer an insight on the problem of the optimization of the part of the delivery time of a treatment plan that relates to the movements of the system. We denote it as the Nozzle Travel Time Problem (NTTP), in analogy with the Leaf Travel Time Problem (LTTP) in classical radiotherapy.In particular this work: (i) describes a mathematical model for the delivery system and formalize the optimization problem for finding the optimal sequence of movements of the system (nozzle and bed) that satisfies the covering of the prescribed irradiation directions; (ii) provides an optimization pipeline that solves the problem for instances with an amount of irradiation directions much greater than those usually employed in the clinical practice; (iii) reports preliminary results about the effects of employing two different resolution strategies within the aforementioned pipeline, that rely on an exact Traveling Salesman Problem (TSP) solver, Concorde, and an efficient Vehicle Routing Problem (VRP) heuristic, VROOM.

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