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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

Understanding which phenotypic traits are consistently correlated throughout evolution is a highly pertinent problem in modern evolutionary biology. Here, we propose a multivariate phylogenetic latent liability model for assessing the…

Populations and Evolution · Quantitative Biology 2015-09-17 Gabriela B. Cybis , Janet S. Sinsheimer , Trevor Bedford , Alison E. Mather , Philippe Lemey , Marc A. Suchard

In this survey article, a variety of systems modeling tumor growth are discussed. In accordance with the hallmarks of cancer, the described models incorporate the primary characteristics of cancer evolution. Specifically, we focus on…

Dynamical Systems · Mathematics 2023-03-21 Marvin Fritz

Recently, it has become feasible to generate large-scale, multi-tissue gene expression data, where expression profiles are obtained from multiple tissues or organs sampled from dozens to hundreds of individuals. When traditional clustering…

Quantitative Methods · Quantitative Biology 2021-10-29 Pau Erola , Johan LM Björkegren , Tom Michoel

Background. A large number of algorithms is being developed to reconstruct evolutionary models of individual tumours from genome sequencing data. Most methods can analyze multiple samples collected either through bulk multi-region…

Genomics · Quantitative Biology 2019-03-26 Daniele Ramazzotti , Alex Graudenzi , Luca De Sano , Marco Antoniotti , Giulio Caravagna

With the advanced imaging technology, digital pathology imaging of tumor tissue slides is becoming a routine clinical procedure for cancer diagnosis. This process produces massive imaging data that capture histological details in high…

Applications · Statistics 2020-12-10 Esteban Fernández Morales , Cong Zhang , Guanghua Xiao , Chul Moon , Qiwei Li

Defining and separating cancer subtypes is essential for facilitating personalized therapy modality and prognosis of patients. The definition of subtypes has been constantly recalibrated as a result of our deepened understanding. During…

Machine Learning · Computer Science 2022-07-21 Zheng Chen , Ziwei Yang , Lingwei Zhu , Guang Shi , Kun Yue , Takashi Matsubara , Shigehiko Kanaya , MD Altaf-Ul-Amin

Melanoma is a fatal skin cancer that is curable and has dramatically increasing survival rate when diagnosed at early stages. Learning-based methods hold significant promise for the detection of melanoma from dermoscopic images. However,…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Saban Ozturk , Tolga Cukur

Analysis of somatic mutation profiles from cancer patients is essential in the development of cancer research. However, the low frequency of most mutations and the varying rates of mutations across patients makes the data extremely…

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

Phenotype variations define heterogeneity of biological and molecular systems, which play a crucial role in several mechanisms. Heterogeneity has been demonstrated in tumor cells. Here, samples from blood of patients affected from colon…

Biological Physics · Physics 2015-11-09 Giuseppina Simone

We have extended our previously developed 3D multi-scale agent-based brain tumor model to simulate cancer heterogeneity and to analyze its impact across the scales of interest. While our algorithm continues to employ an epidermal growth…

Tissues and Organs · Quantitative Biology 2010-03-23 Le Zhang , Costas G. Strouthos , Zhihui Wang , Thomas S. Deisboeck

In cancer, treatment failure and disease recurrence have been associated with small subpopulations of cancer cells with a stem-like phenotype. In this paper, we develop and investigate a phenotype-structured model of solid tumour growth in…

Cell Behavior · Quantitative Biology 2021-01-15 Giulia L. Celora , Helen M. Byrne , Christos Zois , Panos G. Kevrekidis

We investigate a partial differential equation model of a cancer cell population, which is structured with respect to age and telomere length of cells. We assume a continuous telomere length structure, which is applicable to the clonal…

Analysis of PDEs · Mathematics 2019-03-06 József Z. Farkas , Glenn F. Webb

Recent studies at individual cell resolution have revealed phenotypic heterogeneity in nominally clonal tumor cell populations. The heterogeneity affects cell growth behaviors, which can result in departure from the idealized uniform…

Populations and Evolution · Quantitative Biology 2023-10-20 Yue Wang , Joseph X. Zhou , Edoardo Pedrini , Irit Rubin , May Khalil , Roberto Taramelli , Hong Qian , Sui Huang

Molecular phenotypes are important links between genomic information and organismic functions, fitness, and evolution. Complex phenotypes, which are also called quantitative traits, often depend on multiple genomic loci. Their evolution…

Populations and Evolution · Quantitative Biology 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

Challenges of assessing complexity and clonality in populations of mixed species arise in diverse areas of modern biology, including estimating diversity and clonality in microbiome populations, measuring patterns of T and B cell clonality,…

Methodology · Statistics 2014-08-07 Yi Liu , Andrew Z. Fire , Scott Boyd , Richard A. Olshen

Background. Models of ancestral gene order reconstruction have progressively integrated different evolutionary patterns and processes such as unequal gene content, gene duplications, and implicitly sequence evolution via reconciled gene…

Populations and Evolution · Quantitative Biology 2013-07-01 Murray Patterson , Gergely J Szöllősi , Vincent Daubin , Eric Tannier

Identifying concentrations of components from an observed mixture is a fundamental problem in signal processing. It has diverse applications in fields ranging from hyperspectral imaging to denoising biomedical sensors. This paper focuses on…

Computational Engineering, Finance, and Science · Computer Science 2016-11-17 Shahin Mohammadi , Neta Zuckerman , Andrea Goldsmith , Ananth Grama