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During the last decades, medical observations and multiscale data concerning tumor growth are mounting. At the same time, contemporary imaging techniques well established in clinical practice, provide a variety of information on real-time,…

Tissues and Organs · Quantitative Biology 2017-12-11 Markos Antonopoulos , Georgios Stamatakos

The dynamics of tumour evolution are not well understood. In this paper we provide a statistical framework for evaluating the molecular variation observed in different parts of a colorectal tumour. A multi-sample version of the Ewens…

Populations and Evolution · Quantitative Biology 2010-04-26 A. D. Barbour , Simon Tavaré

We propose a supervised machine learning approach for boosting existing signal and image recovery methods and demonstrate its efficacy on example of image reconstruction in computed tomography. Our technique is based on a local nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2013-12-02 Joseph Shtok , Michael Zibulevsky , Michael Elad

It is increasingly common clinically for cancer specimens to be examined using techniques that identify somatic mutations. In principle these mutational profiles can be used to diagnose the tissue of origin, a critical task for the 3-5% of…

Methodology · Statistics 2020-07-14 Saptarshi Chakraborty , Colin B. Begg , Ronglai Shen

Tumours develop in an evolutionary process, in which the accumulation of mutations produces subpopulations of cells with distinct mutational profiles, called clones. This process leads to the genetic heterogeneity widely observed in tumour…

Applications · Statistics 2017-02-07 Francesco Marass , Florent Mouliere , Ke Yuan , Nitzan Rosenfeld , Florian Markowetz

Identifying subgroups and properties of cancer biopsy samples is a crucial step towards obtaining precise diagnoses and being able to perform personalized treatment of cancer patients. Recent data collections provide a comprehensive…

Genomics · Quantitative Biology 2021-04-23 Stefan Groha , Caroline Weis , Alexander Gusev , Bastian Rieck

Cancer cell mutations occur when cells undergo multiple cell divisions, and these mutations can be spontaneous or environmentally-induced. The mechanisms that promote and sustain these mutations are still not fully understood. This study…

Dynamical Systems · Mathematics 2021-10-27 Maher Alwuthaynani , Raluca Eftimie , Dumitru Trucu

We study the spatial evolutionary dynamics of solid tumors as they obtain additional driver mutations. We start with a cancer clone that expands uniformly in three dimensions giving rise to a spherical shape. We assume that cell division…

Populations and Evolution · Quantitative Biology 2013-08-08 Tibor Antal , P. L. Krapivsky , M. A. Nowak

Cancer is a complex disease that is characterized by uncontrolled growth and division of cells. It involves a complex interplay between genetic and environmental factors that lead to the initiation and progression of tumors. Recent advances…

Biomolecules · Quantitative Biology 2025-02-07 Reza Bozorgpour

In this study, we develop consistent estimators for key parameters that govern the dynamics of tumor cell populations when subjected to pharmacological treatments. While these treatments often lead to an initial reduction in the abundance…

Applications · Statistics 2024-03-21 Kevin Leder , Ruping Sun , Zicheng Wang , Xuanming Zhang

Explicit accounting for copy number alterations can dramatically improve mutation frequency estimates, leading to more accurate phylogeny reconstructions and subclone characterizations.

Computational systems and methods are often being used in biological research, including the understanding of cancer and the development of treatments. Simulations of tumor growth and its response to different drugs are of particular…

Recent experimental evidence suggests that acute myeloid leukemias may originate from multiple clones of malignant cells. Nevertheless it is not known how the observed clones may differ with respect to cell properties such as proliferation…

Tissues and Organs · Quantitative Biology 2014-10-07 Thomas Stiehl , Natalia Baran , Anthony D. Ho , Anna Marciniak-Czochra

The inverse geometric approach to the modeling of the growth of circular objects revealing required features, such as the velocity of the growth and fractal behavior of their contours, is presented. It enables to reproduce some of the…

Medical Physics · Physics 2007-05-23 Branislav Brutovsky , Denis Horvath , Vladimir Lisy

The use of high-fidelity computational simulations promises to enable high-throughput hypothesis testing and optimisation of cancer therapies. However, increasing realism comes at the cost of increasing computational requirements. This…

Neural and Evolutionary Computing · Computer Science 2022-12-05 Richard J. Preen , Larry Bull , Andrew Adamatzky

For a genomically unstable cancer, a single tumour biopsy will often contain a mixture of competing tumour clones. These tumour clones frequently differ with respect to their genomic content (copy number of each gene) and structure (order…

Genomics · Quantitative Biology 2015-04-28 Andrew McPherson , Andrew Roth , Gavin Ha , Sohrab P. Shah , Cedric Chauve , S. Cenk Sahinalp

A primary goal of modern cancer research is to characterize tumour growth and evolution, to improve clinical forecasting and individualized treatment. Agent-based models support this endeavour but existing models either oversimplify spatial…

Quantitative Methods · Quantitative Biology 2023-01-20 Maciej Bak , Blair Colyer , Veselin Manojlović , Robert Noble

Most cancers in humans are large, measuring centimeters in diameter, composed of many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as a result of the mutations that occur during each cell division.…

Populations and Evolution · Quantitative Biology 2016-02-17 Bartlomiej Waclaw , Ivana Bozic , Meredith E. Pittman , Ralph H. Hruban , Bert Vogelstein , Martin A. Nowak

Computer simulations of complex population genetic models are an essential tool for making sense of the large-scale datasets of multiple genome sequences from a single species that are becoming increasingly available. A widely used approach…

Populations and Evolution · Quantitative Biology 2026-04-23 Parul Johri , Fanny Pouyet , Brian Charlesworth

Computer-aided tumor detection has shown great potential in enhancing the interpretation of over 80 million CT scans performed annually in the United States. However, challenges arise due to the rarity of CT scans with tumors, especially…

Image and Video Processing · Electrical Eng. & Systems 2024-09-11 Qi Chen , Yuxiang Lai , Xiaoxi Chen , Qixin Hu , Alan Yuille , Zongwei Zhou