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Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as driver mutations and are causally related to tumorigenesis.…

概率论 · 数学 2010-07-15 Rick Durrett , Jasmine Foo , Kevin Leder , John Mayberry , Franziska Michor

Automatic segmentation of medical images with DL algorithms has proven to be highly successful. With most of these algorithms, inter-observer variation is an acknowledged problem, leading to sub-optimal results. This problem is even more…

Drug gradients are believed to play an important role in the evolution of bacteria resistant to antibiotics and tumors resistant to anti-cancer drugs. We use a statistical physics model to study the evolution of a population of malignant…

种群与进化 · 定量生物学 2015-06-04 Philip Greulich , Bartlomiej Waclaw , Rosalind J. Allen

Paragangliomas are rare, primarily slow-growing tumors for which the underlying growth pattern is unknown. Therefore, determining the best care for a patient is hard. Currently, if no significant tumor growth is observed, treatment is often…

神经与进化计算 · 计算机科学 2024-04-10 E. M. C. Sijben , J. C. Jansen , P. A. N. Bosman , T. Alderliesten

Prostate radiotherapy is a well established curative oncology modality, which in future will use Magnetic Resonance Imaging (MRI)-based radiotherapy for daily adaptive radiotherapy target definition. However the time needed to delineate the…

图像与视频处理 · 电气工程与系统科学 2020-11-17 David Gillespie , Connah Kendrick , Ian Boon , Cheng Boon , Tim Rattay , Moi Hoon Yap

In this article we shall trace the historical development of tumour growth laws, which in a quantitative fashion describe the increase in tumour mass/volume over time. These models are usually formulated in terms of differential equations…

组织与器官 · 定量生物学 2013-02-11 P. Gerlee

Cell-based models provide a helpful approach for simulating complex systems that exhibit adaptive, resilient qualities, such as cancer. Their focus on individual cell interactions makes them a particularly appropriate strategy to study the…

定量方法 · 定量生物学 2022-11-30 Juan Uriel Legaria-Peña , Félix Sánchez-Morales , Yuriria Cortés-Poza

We investigate a new dynamical system that describes tumor-host interaction. The equation that describes the untreated tumor growth is based on non-extensive statistical mechanics. Recently, this model has been shown to fit successfully…

Cancer poses danger because of its unregulated growth, development of resistant subclones, and metastatic spread to vital organs. Although the major transitions in cancer development are increasingly well understood, we lack quantitative…

种群与进化 · 定量生物学 2014-08-27 Andrei R. Akhmetzhanov , Michael E. Hochberg

Understanding the dynamics of brain tumor progression is essential for optimal treatment planning. Cast in a mathematical formulation, it is typically viewed as evaluation of a system of partial differential equations, wherein the…

Background: Prostate cancer (PC) MRI-based risk calculators are commonly based on biological (e.g. PSA), MRI markers (e.g. volume), and patient age. Whilst patient age measures the amount of years an individual has existed, biological age…

计算机视觉与模式识别 · 计算机科学 2023-08-11 Alvaro Fernandez-Quilez , Tobias Nordström , Fredrik Jäderling , Svein Reidar Kjosavik , Martin Eklund

In biomedical studies it is of substantial interest to develop risk prediction scores using high-dimensional data such as gene expression data for clinical endpoints that are subject to censoring. In the presence of well-established…

应用统计 · 统计学 2011-11-24 Qi Long , Matthias Chung , Carlos S. Moreno , Brent A. Johnson

The aim is to create a method for accurately estimating the duration of post-cancer treatment, particularly focused on chemotherapy, to optimize patient care and recovery. This initiative seeks to improve the effectiveness of cancer…

计算机与社会 · 计算机科学 2025-04-24 Joyee Chakraborty , Mazahrul Islam Tohin , Danbir Rashid , Tanjil Ahmed Tanmoy , Md. Jehadul Islam Mony

We investigate the dynamics of a nonlinear system modeling tumor growth with drug application. The tumor is viewed as a mixture consisting of proliferating, quiescent and dead cells as well as a nutrient in the presence of a drug. The…

偏微分方程分析 · 数学 2015-06-22 Donatella Donatelli , Konstantina Trivisa

Quantitative molecular imaging is central to treatment response assessment in oncology, yet clinical practice remains largely dominated by patient-level or limited target-lesion criteria that ignore inter-lesion heterogeneity. This…

医学物理 · 物理学 2026-03-25 Fereshteh Yousefirizi , Jean-Mathieu Beauregard , Arman Rahmim

Spatial agent-based models are increasingly used to investigate the evolution of solid tumours subject to localised cell-cell interactions and microenvironmental heterogeneity. Here we present a non-technical step by step guide to…

定量方法 · 定量生物学 2023-11-08 Blair Colyer , Maciej Bak , David Basanta , Robert Noble

While current research has shown the importance of Multi-parametric MRI (mpMRI) in diagnosing prostate cancer (PCa), further investigation is needed for how to incorporate the specific structures of the mpMRI data, such as the regional…

机器学习 · 统计学 2021-11-04 Jin Jin , Lin Zhang , Ethan Leng , Gregory J. Metzger , Joseph S. Koopmeiners

Tissues are fractal due to its self-similar structure, and the fractal dimension change with the abnormalities such as in disease like cancer. The optical imaging of thin slices of tissue using transmission microscopy can produce an…

生物物理 · 物理学 2020-12-29 Liam Elkington , Prakash Adhikari , Prabhakar Pradhan

We present a two-dimensional continuum model of tumor growth, which treats the tissue as a composition of six distinct fluid phases; their dynamics are governed by the equations of mass and momentum conservation. Our model divides the…

种群与进化 · 定量生物学 2021-02-12 I. Lampropoulos , M. Kavousanakis

Proton therapy is a cancer treatment technique currently in growth worldwide. It offers advantages with respect to conventional X-ray and $\gamma$-ray radiotherapy, in particular, a better control of the dose deposition allowing to reach a…