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In this paper, we present a probabilistic analysis of a dynamical particle model for the self-adaptive immune response to cancer, as proposed by the first author in a previous work. The model is motivated by the interplay between immune…

概率论 · 数学 2025-08-06 Christian Kuehn , Quirin Vogel

In this work we present a flexible tool for tumor progression, which simulates the evolutionary dynamics of cancer. Tumor progression implements a multi-type branching process where the key parameters are the fitness landscape, the mutation…

种群与进化 · 定量生物学 2013-03-22 Johannes G. Reiter , Ivana Bozic , Krishnendu Chatterjee , Martin A. Nowak

In conventional radiotherapy, the probability of controlling tumor growth is quantified using Tumor Control Probability (TCP) models. Instead, the probability of experiencing a side effect after the irradiation of healthy tissues and organs…

This paper presents a realistic, stochastic, and local model that reproduces nonrelativistic quantum mechanics (QM) results without using its mathematical formulation. The proposed model only uses integer-valued quantities and operations on…

量子物理 · 物理学 2018-01-17 Antonio Sciarretta

The progression-free survival ratio (PFSr) is a widely used measure in personalized oncology trials. It evaluates the effectiveness of treatment by comparing two consecutive event times - one under standard therapy and one under an…

统计方法学 · 统计学 2025-12-23 Merle Munko , Simon Mack , Marc Ditzhaus , Stefan Fröhling , Dennis Dobler , Dominic Edelmann

Particle physics simulations are the cornerstone of nuclear engineering applications. Among them radiotherapy (RT) is crucial for society, with 50% of cancer patients receiving radiation treatments. For the most precise targeting of tumors,…

机器学习 · 计算机科学 2021-09-10 Oscar Pastor-Serrano , Zoltán Perkó

Quantum mechanical control of the position of a particle by using a trapping potential well is an important problem for the manipulation of a quantum particle. We study the probability of successful conveyance of a particle trapping in a…

量子物理 · 物理学 2025-01-07 Satoshi Morita , Yoshiaki Teranishi , Seiji Miyashita

This paper presents a simple model that mimics quantum mechanics (QM) results in terms of probability fields of free particles subject to self-interference, without using Schr\"{o}dinger equation or wavefunctions. Unlike the standard QM…

量子物理 · 物理学 2015-01-27 Antonio Sciarretta

We present a detailed comparison of the motion of a classical and of a quantum particle in the presence of trapping sites, within the framework of continuous-time classical and quantum random walk. The main emphasis is on the qualitative…

统计力学 · 物理学 2014-03-12 P. L. Krapivsky , J. M. Luck , K. Mallick

In this work, we combine a new form of the cell survival fraction developed in [29] with the Gompertz cell growth model. The result is an equation that models the cell growth/death under a radiation dose and can be applied in a conventional…

生物物理 · 物理学 2017-11-01 Diego Saldaña Ulloa

Evolutionary algorithms have long been used for optimization problems where the appropriate size of solutions is unclear a priori. The applicability of this methodology is here investigated on the problem of designing a nano-particle (NP)…

神经与进化计算 · 计算机科学 2020-11-11 Michail-Antisthenis Tsompanas , Larry Bull , Andrew Adamatzky , Igor Balaz

By means of a recently-proposed metric or structural derivative, called scale-q-derivative approach, we formulate differential equation that models the cell death by a radiation exposure in tumor treatments. The considered independent…

医学物理 · 物理学 2017-04-13 José Weberszpil , Oscar Sotolongo-Costa

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…

种群与进化 · 定量生物学 2018-03-26 Peter G. Hufton , Elizabeth Buckingham-Jeffery , Tobias Galla

Particle Therapy (PT) has emerged as a powerful tool in cancer treatment, leveraging the unique dose distribution of charged particles to deliver high radiation levels to the tumor while minimizing damage to surrounding healthy tissue.…

医学物理 · 物理学 2025-03-06 Luana Testa

Radiation therapy is one of the most common cancer treatments, and dose optimization and targeting of radiation are crucial since both cancerous and healthy cells are affected. Different mathematical and computational approaches have been…

生物物理 · 物理学 2025-11-07 Mirko Bagnarol , Gianluca Lattanzi , Jan Åström , Mikko Karttunen

Several Bayesian estimation based heuristics have been developed to perform quantum state tomography (QST). Their ability to quantify uncertainties using region estimators and include a priori knowledge of the experimentalists makes this…

量子物理 · 物理学 2021-09-16 Syed Muhammad Kazim , Ahmad Farooq , Junaid ur Rehman , Hyundong Shin

This paper presents a simple model that mimics quantum mechanics (QM) results without using complex wavefunctions or non-localities. The proposed model only uses integer-valued quantities and arithmetic operations, in particular assuming a…

综合物理 · 物理学 2017-01-04 Antonio Sciarretta

This paper proposes regenerative particle Thompson sampling (RPTS), a flexible variation of Thompson sampling. Thompson sampling itself is a Bayesian heuristic for solving stochastic bandit problems, but it is hard to implement in practice…

机器学习 · 计算机科学 2024-01-24 Zeyu Zhou , Bruce Hajek , Nakjung Choi , Anwar Walid

We present a model for the interaction dynamics of lymphocytes-tumor cells population. This model reproduces all known states for the tumor. Futherly,we develop it taking into account periodical immunotheraphy treatment with cytokines…

Exploratory cancer drug studies test multiple tumor cell lines against multiple candidate drugs. The goal in each paired (cell line, drug) experiment is to map out the dose-response curve of the cell line as the dose level of the drug…

机器学习 · 统计学 2021-03-23 Wesley Tansey , Christopher Tosh , David M. Blei
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