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The past years have seen a considerable increase in cancer cases. However, a cancer diagnosis is often complex and depends on the types of images provided for analysis. It requires highly skilled practitioners but is often time-consuming…

Image and Video Processing · Electrical Eng. & Systems 2022-10-24 Solene Bechelli

In this paper, we present new efficiently solvable cases of the Minimum Uncovering Branching problem, an optimization problem with applications in cancer genomics introduced by Hujdurovi\'c, Husi\'c, Milani\v{c}, Rizzi, and Tomescu in 2018.…

Discrete Mathematics · Computer Science 2025-06-24 Narmina Baghirova , Esther Galby , Martin Milanič

The identification of cancer stem cells in vivo and in vitro relies on specific surface markers that should allow to sort cancer cells in phenotypically distinct subpopulations. Experiments report that sorted cancer cell populations after…

Populations and Evolution · Quantitative Biology 2013-08-29 C. A. M. La Porta , S Zapperi

In the Properly Colored Spanning Tree problem, we are given an edge-colored undirected graph and the goal is to find a properly colored spanning tree, i.e., a spanning tree in which any two adjacent edges have distinct colors. The problem…

Data Structures and Algorithms · Computer Science 2024-02-02 Yuhang Bai , Kristóf Bérczi , Gergely Csáji , Tamás Schwarcz

In the small phylogeny problem we, are given a phylogenetic tree and gene orders of the extant species and our goal is to reconstruct all of the ancestral genomes so that the number of evolutionary operations is minimized. Algorithms for…

Populations and Evolution · Quantitative Biology 2015-03-17 Jakub Kováč , Broňa Brejová , Tomáš Vinař

Statistical machine learning methods, especially nonparametric Bayesian methods, have become increasingly popular to infer clonal population structure of tumors. Here we describe the treeCRP, an extension of the Chinese restaurant process…

Populations and Evolution · Quantitative Biology 2014-08-14 Amit G. Deshwar , Shankar Vembu , Quaid Morris

In computational phylogenetics, the problem of constructing a supertree of a given set of rooted input trees can be formalized in different ways, to cope with contradictory information in the input. We consider the Minimum Flip Supertree…

Data Structures and Algorithms · Computer Science 2011-04-25 Sebastian Böcker

The automated detection of cancerous tumors has attracted interest mainly during the last decade, due to the necessity of early and efficient diagnosis that will lead to the most effective possible treatment of the impending risk. Several…

Image and Video Processing · Electrical Eng. & Systems 2023-10-13 Vasileios E. Papageorgiou , Pantelis Dogoulis , Dimitrios-Panagiotis Papageorgiou

Tumor cells acquire different genetic alterations during the course of evolution in cancer patients. As a result of competition and selection, only a few subgroups of cells with distinct genotypes survive. These subgroups of cells are often…

Applications · Statistics 2018-03-20 Li Zeng , Joshua L. Warren , Hongyu Zhao

We consider the reconciliation problem, in which the task is to find a mapping of a gene tree into a species tree, so as to maximize the likelihood of such fitting, given the available data. We describe a model for the evolution of the…

Populations and Evolution · Quantitative Biology 2023-11-09 Albert C. Soewongsono , Jiahao Diao , Tristan Stark , Amanda E. Wilson , David A. Liberles , Barbara R. Holland , Malgorzata M. O'Reilly

One strategy for reconstruction of phylogenetic networks is to solve the phylogenetic network problem, which involves inferring phylogenetic trees first and subsequently computing the smallest phylogenetic network that displays all the…

Combinatorics · Mathematics 2023-09-26 Laurent Bulteau , Louxin Zhang

In this article, we investigate different parsimony-based approaches towards finding recombination breakpoints in a multiple sequence alignment. This recombination detection task is crucial in order to avoid errors in evolutionary analyses…

Populations and Evolution · Quantitative Biology 2019-10-25 Mark Jones , Philippe Gambette , Leo van Iersel , Remie Janssen , Steven Kelk , Fabio Pardi , Celine Scornavacca

The application of natural language processing (NLP) to cancer pathology reports has been focused on detecting cancer cases, largely ignoring precancerous cases. Improving the characterization of precancerous adenomas assists in developing…

Machine Learning · Computer Science 2022-12-13 Yizhen Zhong , Jiajie Xiao , Thomas Vetterli , Mahan Matin , Ellen Loo , Jimmy Lin , Richard Bourgon , Ofer Shapira

The maximum common subtree isomorphism problem asks for the largest possible isomorphism between subtrees of two given input trees. This problem is a natural restriction of the maximum common subgraph problem, which is ${\sf NP}$-hard in…

Data Structures and Algorithms · Computer Science 2016-08-23 Andre Droschinsky , Nils M. Kriege , Petra Mutzel

Despite great advances, molecular cancer pathology is often limited to the use of a small number of biomarkers rather than the whole transcriptome, partly due to computational challenges. Here, we introduce a novel architecture of Deep…

Machine Learning · Statistics 2019-08-14 Behrooz Azarkhalili , Ali Saberi , Hamidreza Chitsaz , Ali Sharifi-Zarchi

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

In recent years the importance of finding a meaningful pattern from huge datasets has become more challenging. Data miners try to adopt innovative methods to face this problem by applying feature selection methods. In this paper we propose…

Machine Learning · Computer Science 2014-03-11 Mehdi Naseriparsa , Amir-masoud Bidgoli , Touraj Varaee

Motivation: Tumor classification using Imaging Mass Spectrometry (IMS) data has a high potential for future applications in pathology. Due to the complexity and size of the data, automated feature extraction and classification steps are…

Machine Learning · Statistics 2018-06-28 Jens Behrmann , Christian Etmann , Tobias Boskamp , Rita Casadonte , Jörg Kriegsmann , Peter Maass

A central task in the study of molecular sequence data from present-day species is the reconstruction of the ancestral relationships. The most established approach to tree reconstruction is the maximum likelihood (ML) method. In this…

Quantitative Methods · Quantitative Biology 2007-05-23 Asger Hobolth , Ruriko Yoshida

Perfect phylogenies are fundamental in the study of evolutionary trees because they capture the situation when each evolutionary trait emerges only once in history; if such events are believed to be rare, then by Occam's Razor such…

Discrete Mathematics · Computer Science 2019-04-30 Leo van Iersel , Mark Jones , Steven Kelk