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The problem of comparing trees representing the evolutionary histories of cancerous tumors has turned out to be crucial, since there is a variety of different methods which typically infer multiple possible trees. A departure from the…

Data Structures and Algorithms · Computer Science 2019-04-03 Giulia Bernardini , Paola Bonizzoni , Gianluca Della Vedova , Murray Patterson

Two genomes over the same set of gene families form a canonical pair when each of them has exactly one gene from each family. Different distances of canonical genomes can be derived from a structure called breakpoint graph, which represents…

Data Structures and Algorithms · Computer Science 2023-04-04 Marilia D. V. Braga , Leonie R. Brockmann , Katharina Klerx , Jens Stoye

During the course of evolution, an organism's genome can undergo changes that affect the large-scale structure of the genome. These changes include gene gain, loss, duplication, chromosome fusion, fission, and rearrangement. When gene gain…

Genomics · Quantitative Biology 2012-07-31 Birte Kehr , Knut Reinert , Aaron E. Darling

We consider the problem of detecting multiple changepoints in large data sets. Our focus is on applications where the number of changepoints will increase as we collect more data: for example in genetics as we analyse larger regions of the…

Methodology · Statistics 2015-03-17 R. Killick , P. Fearnhead , I. A. Eckley

The accurate segmentation and tracking of cells in microscopy image sequences is an important task in biomedical research, e.g., for studying the development of tissues, organs or entire organisms. However, the segmentation of touching…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 Tim Scherr , Katharina Löffler , Moritz Böhland , Ralf Mikut

Single cell segmentation is critical and challenging in live cell imaging data analysis. Traditional image processing methods and tools require time-consuming and labor-intensive efforts of manually fine-tuning parameters. Slight variations…

Quantitative Methods · Quantitative Biology 2019-04-24 Weikang Wang , David A. Taft , Yi-Jiun Chen , Jingyu Zhang , Callen T. Wallace , Min Xu , Simon C. Watkins , Jianhua Xing

Although recovering an Euclidean distance matrix from noisy observations is a common problem in practice, how well this could be done remains largely unknown. To fill in this void, we study a simple distance matrix estimate based upon the…

Machine Learning · Statistics 2014-09-18 Luwan Zhang , Grace Wahba , Ming Yuan

Background: Regions with copy number variations (in germline cells) or copy number alteration (in somatic cells) are of great interest for human disease gene mapping and cancer studies. They represent a new type of mutation and are…

Genomics · Quantitative Biology 2012-05-07 Wentian Li , Annette Lee , Peter K Gregersen

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

Genomic aberrations, such as somatic copy number alterations, are frequently observed in tumor tissue. Recurrent aberrations, occurring in the same region across multiple subjects, are of interest because they may highlight genes associated…

Statistics Theory · Mathematics 2014-03-11 Vonn Walter , Fred A. Wright , Andrew B. Nobel

Neuroblastoma is one of the most common cancers in infants, and the initial diagnosis of this disease is difficult. At present, the MYCN gene amplification (MNA) status is detected by invasive pathological examination of tumor samples. This…

Image and Video Processing · Electrical Eng. & Systems 2022-05-24 Zihan Zhang , Xiang Xiang , Xuehua Peng , Jianbo Shao

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)…

Neural and Evolutionary Computing · Computer Science 2020-11-11 Michail-Antisthenis Tsompanas , Larry Bull , Andrew Adamatzky , Igor Balaz

Background: Intra-tumour heterogeneity (ITH) is the result of ongoing evolutionary change within each cancer. The expansion of genetically distinct sub-clonal populations may explain the emergence of drug resistance and if so would have…

Quantitative Methods · Quantitative Biology 2015-06-16 Roland F Schwarz , Anne Trinh , Botond Sipos , James D Brenton , Nick Goldman , 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

In addition to variation in terms of single nucleotide polymorphisms (SNPs), whole regions ranging from several kilobases up to a megabase in length differ in copy number among individuals. These differences are referred to as Copy Number…

Genomics · Quantitative Biology 2007-09-27 Philip M. Kim , Jan O. Korbel , Xueying Chen , Mark B. Gerstein

In this paper, we consider a tree inference problem motivated by the critical problem in single-cell genomics of reconstructing dynamic cellular processes from sequencing data. In particular, given a population of cells sampled from such a…

Methodology · Statistics 2025-07-16 Elodie Maignant , Tim Conrad , Christoph von Tycowicz

A central problem in comparative genomics consists in computing a (dis-)similarity measure between two genomes, e.g. in order to construct a phylogeny. All the existing measures are defined on genomes without duplicates. However, we know…

Quantitative Methods · Quantitative Biology 2008-12-18 Sébastien Angibaud , Guillaume Fertin , Irena Rusu , Annelyse Thevenin , Stéphane Vialette

Genome rearrangement has been an active area of research in computational comparative genomics for the last three decades. While initially mostly an interesting algorithmic endeavor, now the practical application by applying rearrangement…

Computational Complexity · Computer Science 2025-07-23 Luís Cunha , Thiago Lopes , Uéverton Souza , Leonard Bohnenkämper , Marília D. V. Braga , Jens Stoye

Genome rearrangements are events where large blocks of DNA exchange places during evolution. The analysis of these events is a promising tool for understanding evolutionary genomics, providing data for phylogenetic reconstruction based on…

Computational Complexity · Computer Science 2023-11-30 Luís Cunha , Ignasi Sau , Uéverton Souza

The Hausdorff Distance (HD) is widely used in evaluating medical image segmentation methods. However, existing segmentation methods do not attempt to reduce HD directly. In this paper, we present novel loss functions for training…

Image and Video Processing · Electrical Eng. & Systems 2019-04-24 Davood Karimi , Septimiu E. Salcudean