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Phase I dose-escalation trials must be guided by a safety model in order to avoid exposing patients to unacceptably high risk of toxicities. Traditionally, these trials are based on one type of schedule. In more recent practice, however,…

Methodology · Statistics 2020-08-18 Burak Kürsad Günhan , Sebastian Weber , Tim Friede

Comparing both, the more conventional Gompertz tumor growth law (GL) and the ``Universal'' law (UL), recently proposed and applied to cancer,we have investigated the growth law's implications on various radiotherapy regimen. According to…

Medical Physics · Physics 2007-05-23 P. Castorina , T. S. Deisboeck , P. Gabriele , C. Guiot

The Darwin approximation is investigated for its possible use in simulation of electromagnetic effects in large size, high frequency capacitively coupled discharges. The approximation is utilized within the framework of two different fluid…

Plasma Physics · Physics 2015-06-11 Denis Eremin , Torben Hemke , Ralf Peter Brinkmann , Thomas Mussenbrock

Radiation therapy is crucial in cancer treatment. Experienced experts typically iteratively generate high-quality dose distribution maps, forming the basis for excellent radiation therapy plans. Therefore, automated prediction of dose…

Image and Video Processing · Electrical Eng. & Systems 2025-01-23 Linjie Fu , Xia Li , Xiuding Cai , Yingkai Wang , Xueyao Wang , Yali Shen , Yu Yao

Non-extensive statistical physics has allowed to generalize mathematical functions such as exponential and logarithms. The same framework is used to generalize sum and product so that the operations allow a more fluid way to work with…

Biological Physics · Physics 2009-08-19 O. Sotolongo-Grau , D. Rodriguez-Perez , J. C. Antoranz , Oscar Sotolongo-Costa

Drug discovery is lengthy and expensive, with traditional computer-aided design facing limits. This paper examines integrating quantum computing across the drug development cycle to accelerate and enhance workflows and rigorous…

The primary objective of phase I oncology studies is to establish the safety profile of a new treatment and determine the maximum tolerated dose (MTD). This is motivated by the development of cytotoxic agents based on the underlying…

Applications · Statistics 2023-02-10 Yiding Zhang , Zhixing Xu , Hui Quan , Ji Lin

In this article, I present a novel and computational-efficient approach for treatment-response modeling of tumor progression-free survival (PFS) probability using the physical phenomenon of a quantum particle walking on a one-dimensional…

Biological Physics · Physics 2023-08-03 Nam Nguyen

The majority of cancer-related fatalities are due to metastatic disease. In chemoradiotherapy, chemotherapeutic agents are administered along with radiation to increase damage to the primary tumor and control systemic disease such as…

Optimization and Control · Mathematics 2016-11-16 Hamidreza Badri , Ehsan Salari , Yoichi Watanabe , Kevin Leder

We determine how prediction methods combine with optimization methods in two-stage knowledge-based planning (KBP) pipelines to produce radiation therapy treatment plans. We trained two dose prediction methods, a generative adversarial…

Medical Physics · Physics 2019-11-01 Aaron Babier , Rafid Mahmood , Andrea L. McNiven , Adam Diamant , Timothy C. Y. Chan

We analyse the Hamiltonian structure of a system of first-order ordinary differential equations used for modeling the interaction of an oncolytic virus with a tumour cell population. The analysis is based on the existence of a Jacobi Last…

Populations and Evolution · Quantitative Biology 2019-09-19 Anindya Ghose-Choudhury , Partha Guha

In the present article the diffusion equation is used to model the spatio-temporal dynamics of a tumor, taking into account the heterogeneous of the medium. This approach makes it possible to take into account the complex geometric shape of…

Biological Physics · Physics 2023-02-07 Maxim V. Polyakov , Valeria V. Ten

In this study, we present a stochastic simulation model designed to explicitly incorporate cell cycle length, overcoming limitations associated with classical compartmental models. Our approach employs a delay mechanism to represent the…

Populations and Evolution · Quantitative Biology 2025-04-01 Peter Boldog , Gergely Röst

We developed simulation methodology to assess eventual therapeutic efficiency of exogenous multiparametric changes in a four-component cellular system described by the system of ordinary differential equations. The method is numerically…

Tissues and Organs · Quantitative Biology 2018-06-05 Denis Horváth , Branislav Brutovsky

We use a stochastic birth-death model for a population of cells to estimate the normal tissue complication probability (NTCP) under a particular radiotherapy protocol. We specifically allow for interaction between cells, via a nonlinear…

Populations and Evolution · Quantitative Biology 2018-03-26 Peter G. Hufton , Elizabeth Buckingham-Jeffery , Tobias Galla

Background: Inverse probability of treatment weighting (IPTW) is used for confounding adjustment in observational studies. Newer weighting methods include energy balancing (EB), kernel optimal matching (KOM), and tailored-loss covariate…

Methodology · Statistics 2026-01-15 Etienne Peyrot , Raphaël Porcher , Francois Petit

We describe a visual computing approach to radiation therapy (RT) planning, based on spatial similarity within a patient cohort. In radiotherapy for head and neck cancer treatment, dosage to organs at risk surrounding a tumor is a large…

Medical Physics · Physics 2019-10-14 A. Wentzel , P. Hanula , T. Luciani , B. Elgohari , H. Elhalawani , G. Canahuate , D. Vock , C. D. Fuller , G. E. Marai

Chemotherapy treatment for cancer is a complex optimisation problem with a large number of interacting variables and constraints. A number of different probabilistic algorithms have been applied to it with varying success. In this paper we…

Artificial Intelligence · Computer Science 2022-05-18 Alexander Brownlee , Martin Pelikan , John McCall , Andrei Petrovski

A new alternate method for evaluating linear response theory is formally developed, and results are presented. This method involves the time-evolution of the system using TDHF and is constructed directly on top of a static Hartree-Fock…

Nuclear Theory · Physics 2009-11-11 A. S. Umar , V. E. Oberacker

Dose-finding studies in oncology often include an up-and-down dose transition rule that assigns a dose to each cohort of patients based on accumulating data on dose-limiting toxicity (DLT) events. In making a dose transition decision, a key…

Methodology · Statistics 2025-01-30 Zhiwei Zhang