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Motivation: As cancer researchers have come to appreciate the importance of intratumor heterogeneity, much attention has focused on the challenges of accurately profiling heterogeneity in individual patients. Experimental technologies for…

Genomics · Quantitative Biology 2018-02-07 Theodore Roman , Lu Xie , Russell Schwartz

In cancer research, clustering techniques are widely used for exploratory analyses and dimensionality reduction, playing a critical role in the identification of novel cancer subtypes, often with direct implications for patient management.…

Despite initial success, cancer therapies often fail due to the emergence of drug-resistant cells. In this study, we use a mathematical model to investigate how cancer evolves over time, specifically focusing on the state of the tumor when…

Probability · Mathematics 2023-08-01 Kevin Leder , Zicheng Wang

Changing base composition during the evolution of biological sequences can mislead some of the phylogenetic inference techniques in current use. However, detecting whether such a process has occurred may be difficult, since convergent…

Populations and Evolution · Quantitative Biology 2007-05-23 Elizabeth S. Allman , John A. Rhodes

We discuss how quantum information distribution can improve the performance of some quantum computation tasks. This distribution can be naturally implemented with different types of quantum cloning procedures. We give two examples of tasks…

Quantum Physics · Physics 2007-05-23 Ernesto F. Galvao , Lucien Hardy

Major efforts to sequence cancer genomes are now occurring throughout the world. Though the emerging data from these studies are illuminating, their reconciliation with epidemiologic and clinical observations poses a major challenge. In the…

Populations and Evolution · Quantitative Biology 2010-11-18 Ivana Bozic , Tibor Antal , Hisashi Ohtsuki , Hannah Carter , Dewey Kim , Sining Chen , Rachel Karchin , Kenneth W. Kinzler , Bert Vogelstein , Martin A. Nowak

Statistically resolving the underlying haplotype pair for a genotype measurement is an important intermediate step in gene mapping studies, and has received much attention recently. Consequently, a variety of methods for this problem have…

Machine Learning · Computer Science 2007-10-29 Matti Kääriäinen , Niels Landwehr , Sampsa Lappalainen , Taneli Mielikäinen

Recently, much attention has been given to understanding recombination events along a chromosome in a variety of field. For instance, many population genetics problems are limited by the inaccuracy of inferred evolutionary histories of…

Quantitative Methods · Quantitative Biology 2017-10-31 Jacqueline Kane , Joseph Rusinko , Katherine Thompson

Cancer results from a sequence of genetic and epigenetic changes which lead to a variety of abnormal phenotypes including increased proliferation and survival of somatic cells, and thus, to a selective advantage of pre-cancerous cells. The…

Populations and Evolution · Quantitative Biology 2011-12-05 Erik A. Martens , R. Kostadinov , Carlo C. Maley , Oskar Hallatschek

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

Healthcare data from patient or population cohorts are often characterized by sparsity, high missingness and relatively small sample sizes. In addition, being able to quantify uncertainty is often important in a medical context. To address…

Machine Learning · Statistics 2025-03-28 H. C. Donker , D. Neijzen , J. de Jong , G. A. Lunter

Mutation rate variation across loci is well known to cause difficulties, notably identifiability issues, in the reconstruction of evolutionary trees from molecular sequences. Here we introduce a new approach for estimating general…

Probability · Mathematics 2011-09-30 Elchanan Mossel , Sebastien Roch

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

Interpretability of deep learning is widely used to evaluate the reliability of medical imaging models and reduce the risks of inaccurate patient recommendations. For models exceeding human performance, e.g. predicting RNA structure from…

Quantitative Methods · Quantitative Biology 2022-08-31 Mara Graziani , Niccolò Marini , Nicolas Deutschmann , Nikita Janakarajan , Henning Müller , María Rodríguez Martínez

In this work, we study and analyze different feature selection algorithms that can be used to classify cancer subtypes in case of highly varying high-dimensional data. We apply three different feature selection methods on five different…

Machine Learning · Computer Science 2021-10-01 Vaibhav Sinha , Siladitya Dash , Nazma Naskar , Sk Md Mosaddek Hossain

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

We present an efficient phylogenetic reconstruction algorithm allowing insertions and deletions which provably achieves a sequence-length requirement (or sample complexity) growing polynomially in the number of taxa. Our algorithm is…

Probability · Mathematics 2013-02-25 Constantinos Daskalakis , Sebastien Roch

Genetic information is encoded in a linear sequence of nucleotides, represented by letters ranging from thousands to billions. Mutations refer to changes in the DNA or RNA nucleotide sequence. Thus, mutation detection is vital in all areas…

B-cell repertoires are characterized by a diverse set of receptors of distinct specificities generated through two processes of somatic diversification: V(D)J recombination and somatic hypermutations. B cell clonal families stem from the…

Populations and Evolution · Quantitative Biology 2024-03-19 Natanael Spisak , Gabriel Athènes , Thomas Dupic , Thierry Mora , Aleksandra M. Walczak

We present an example of quantum computational tasks whose performance is enhanced if we distribute quantum information using quantum cloning. Furthermore we give achievable efficiencies for probabilistic cloning the quantum states used in…

Quantum Physics · Physics 2009-11-10 Ting Gao , Fengli Yan , Zhixi Wang