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Imaging demonstrates that preclinical and human tumors are heterogeneous, i.e. a single tumor can exhibit multiple regions that behave differently during both normal development and also in response to treatment. The large variations…

Computer Vision and Pattern Recognition · Computer Science 2022-09-08 P. D. Tar , N. A. Thacker , J. P. B. O'Connor

Various biological sensory systems exhibit a response to a relative change of the stimulus, often referred to as fold-change detection. In the last few years fold-change detecting mechanisms, based on transcriptional networks, have been…

Biological Physics · Physics 2014-02-21 Wouter Buijsman , Michael Sheinman

Molecular testing of tumor samples for targetable biomarkers is restricted by a lack of standardization, turnaround-time, cost, and tissue availability across cancer types. Additionally, targetable alterations of low prevalence may not be…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Kshitij Ingale , Sun Hae Hong , Qiyuan Hu , Renyu Zhang , Bo Osinski , Mina Khoshdeli , Josh Och , Kunal Nagpal , Martin C. Stumpe , Rohan P. Joshi

Known as one of the hallmarks of cancer [30], cancer cell invasion of human body tissue is a complicated spatio-temporal multiscale process which enables a localised solid tumour to transform into a systemic, metastatic and fatal disease.…

Dynamical Systems · Mathematics 2016-03-25 Lu Peng , Dumitru Trucu , Ping Lin , Alastair Thompson , Mark A. J. Chaplain

Motivation: Identification of genomic, molecular and clinical markers prognostic of patient survival is important for developing personalized disease prevention, diagnostic and treatment approaches. Modern omics technologies have made it…

Applications · Statistics 2024-03-05 Zhi Zhao , John Zobolas , Manuela Zucknick , Tero Aittokallio

Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is the selection of tumor cells expressing resistance genes or…

Analysis of PDEs · Mathematics 2012-07-05 Alexander Lorz , Tommaso Lorenzi , Michael E. Hochberg , Jean Clairambault , Benoit Perthame

Cancer development is driven by mutations and selective forces, including the action of the immune system and interspecific competition. When administered to patients, anti-cancer therapies affect the development and dynamics of tumours,…

Dynamical Systems · Mathematics 2021-09-30 Elena Piretto , Marcello Delitala , Peter S. Kim , Federico Frascoli

In many longitudinal microarray studies, the gene expression levels in a random sample are observed repeatedly over time under two or more conditions. The resulting time courses are generally very short, high-dimensional, and may have…

Applications · Statistics 2013-02-26 Maurice Berk , Cheryl Hemingway , Michael Levin , Giovanni Montana

Breast cancer is one of the most challenging global health problems among women. This study investigates the intricate breast tumor microenvironment (TME) dynamics utilizing data from Mammary-specific Polyomavirus Middle T Antigen…

Quantitative Methods · Quantitative Biology 2024-04-11 Navid Mohammad Mirzaei , Panayotis G. Kevrekidis , Leili Shahriyari

An organism that is newly introduced into an existing population has a survival probability that is dependent on both the population density of its environment and the competition it experiences with the members of that population.…

Populations and Evolution · Quantitative Biology 2024-12-17 Jason M. Gray , Rowan J. Barker-Clarke , Jacob G. Scott , Michael Hinczewski

This thesis presents a new methodology to analyze one-dimensional signals trough a new approach called Multi Layer Analysis, for short MLA. It also provides some new insights on the relationship between one-dimensional signals processed by…

Computer Vision and Pattern Recognition · Computer Science 2011-07-28 Luca Pinello

Multiple technologies that measure expression levels of protein mixtures in the human body offer a potential for detection and understanding the disease. The recent increase of these technologies prompts researchers to evaluate the…

Machine Learning · Computer Science 2026-05-12 Michal Valko , Richard Pelikan , Miloš Hauskrecht

Electronic properties of DNA are believed to play a crucial role in many phenomena in living organisms, for example the location of DNA lesions by base excision repair (BER) glycosylases and the regulation of tumor-suppressor genes such as…

Other Quantitative Biology · Quantitative Biology 2012-02-21 Chi-Tin Shih , Stephen A. Wells , Ching-Ling Hsu , Yun-Yin Cheng , Rudolf A. Römer

Multilevel models (mixed-effect models or hierarchical linear models) are now a standard approach to analysing clustered and longitudinal data in the social, behavioural and medical sciences. This review article focuses on multilevel linear…

Methodology · Statistics 2019-07-16 George Leckie

Genetic association analyses often involve data from multiple potentially-heterogeneous subgroups. The expected amount of heterogeneity can vary from modest (e.g., a typical meta-analysis) to large (e.g., a strong gene--environment…

Methodology · Statistics 2014-04-15 Xiaoquan Wen , Matthew Stephens

A scattering model is developed for ultracold molecular collisions, which allows inelastic processes, chemical reactions, and complex formation to be treated in a unified way. All these scattering processes and various combinations of them…

Atomic Physics · Physics 2020-09-23 James F. E. Croft , John L. Bohn , Goulven Quéméner

The individual data collected throughout patient follow-up constitute crucial information for assessing the risk of a clinical event, and eventually for adapting a therapeutic strategy. Joint models and landmark models have been proposed to…

Machine Learning · Statistics 2024-07-17 Anthony Devaux , Robin Genuer , Karine Pérès , Cécile Proust-Lima

Survival of living tumor cells underlies many influences such as nutrient saturation, oxygen level, drug concentrations or mechanical forces. Data-supported mathematical modeling can be a powerful tool to get a better understanding of cell…

Dynamical Systems · Mathematics 2022-03-24 Sabrina Schönfeld , Alican Ozkan , Laura Scarabosio , Marissa Nichole Rylander , Christina Kuttler

Molecular search phenomena are observed in a variety of chemical and biological systems. During the search the participating particles frequently move in complex inhomogeneous environments with random transitions between different dynamic…

Statistical Mechanics · Physics 2018-11-13 Jaeoh Shin , Anatoly B. Kolomeisky

Spatial relationships in multi-species data can indicate and affect system outcomes and behaviors, ranging from disease progression in cancer to coral reef resilience in ecology; therefore, quantifying these relationships is an important…