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The use of machine learning algorithms in finance, medicine, and criminal justice can deeply impact human lives. As a consequence, research into interpretable machine learning has rapidly grown in an attempt to better control and fix…

Machine Learning · Computer Science 2021-02-02 Thibaut Vidal , Toni Pacheco , Maximilian Schiffer

We propose in this article a brief description of the work, over almost a decade, resulting from a collaboration between mathematicians and biologists from four different research laboratories, identifiable as the co-authors of the articles…

Populations and Evolution · Quantitative Biology 2023-05-30 Olivier Mazet , Camille Noûs

The spread of a particular trait in a cell population often is modelled by an appropriate system of ordinary differential equations describing how the sizes of subpopulations of the cells with the same genome change in time. On the other…

Dynamical Systems · Mathematics 2016-05-26 J. Banasiak , A. Falkiewicz

We develop theoretical equivalences between stochastic and deterministic models for populations of individual cells stratified by age. Specifically, we develop a hierarchical system of equations describing the full dynamics of an…

Populations and Evolution · Quantitative Biology 2022-06-29 Joshua C. Kynaston , Chris Guiver , Christian A. Yates

Motivation. Cancer heterogeneity is observed at multiple biological levels. To improve our understanding of these differences and their relevance in medicine, approaches to link organ- and tissue-level information from diagnostic images and…

Quantitative Methods · Quantitative Biology 2020-05-19 Nova F. Smedley , Suzie El-Saden , William Hsu

One among several advantages of measure transport methods is that they allow for a unified framework for processing and analysis of data distributed according to a wide class of probability measures. Within this context, we present results…

Quantitative Methods · Quantitative Biology 2024-05-14 Vanessa Lopez-Marrero , Patrick R. Johnstone , Gilchan Park , Xihaier Luo

Using an artificial system of self-replicating strings, we show a correlation between the age of a genotype and its abundance that reflects a punctuated rather than gradual picture of evolution, as suggested long ago by Willis. In support…

adap-org · Physics 2008-02-03 C. Adami , C. T. Brown , M. Haggerty

For the outcomes and phenotypes of complex diseases, multiple types of molecular (genetic, genomic, epigenetic, etc.) changes, environmental risk factors, and their interactions have been found to have important contributions. In each of…

Methodology · Statistics 2019-12-19 Yaqing Xu , Mengyun Wu , Shuangge Ma

Aging is a highly complex and heterogeneous process that progresses at different rates across individuals, making biological age (BA) a more accurate indicator of physiological decline than chronological age. While previous studies have…

Genomics · Quantitative Biology 2025-10-24 Huifa Li , Feilong Tang , Haochen Xue , Yulong Li , Xinlin Zhuang , Bin Zhang , Eran Segal , Imran Razzak

Detecting the interactions of genetic compounds like genes, SNPs, proteins, metabolites, etc. can potentially unravel the mechanisms behind complex traits and common genetic disorders. Several methods have been taken into consideration for…

Computational Engineering, Finance, and Science · Computer Science 2015-05-26 Francesco Gadaleta

Gene expression data is often collected in time series experiments, under different experimental conditions. There may be genes that have very different gene expression profiles over time, but that adjust their gene expression patterns in…

Methodology · Statistics 2021-12-02 Susana Conde , Shahin Tavakoli , Daphne Ezer

This topic review communicates working experiences regarding interaction of a multiplicity of processes. Our experiences come from climate change modelling, materials science, cell physiology and public health, and macroeconomic modelling.…

General Economics · Economics 2020-02-07 Bernhelm Booss-Bavnbek , Rasmus Kristoffer Pedersen , Ulf Rørbæk Pedersen

In human cells, estrogenic signals induce cyclical association and dissociation of specific proteins with the DNA in order to activate transcription of estrogen-responsive genes. These oscillations can be modeled by assuming a large number…

Cell Behavior · Quantitative Biology 2007-05-23 Vincent Lemaire , Chiu Fan Lee , Jinzhi Lei , Raphael Metivier , Leon Glass

What is aging? Mechanistic answers to this question remain elusive despite decades of research. Here, we propose a mathematical model of cellular aging based on a model gene interaction network. Our network model is made of only non-aging…

Molecular Networks · Quantitative Biology 2023-09-12 Hong Qin

It is well known that correlations in microarray data represent a serious nuisance deteriorating the performance of gene selection procedures. This paper is intended to demonstrate that the correlation structure of microarray data provides…

Applications · Statistics 2007-12-18 Lev Klebanov , Andrei Yakovlev

Cardiovascular disease, the leading cause of death globally, is an age-related disease. Understanding the morphological and functional changes of the heart during ageing is a key scientific question, the answer to which will help us define…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Mengyun Qiao , Berke Doga Basaran , Huaqi Qiu , Shuo Wang , Yi Guo , Yuanyuan Wang , Paul M. Matthews , Daniel Rueckert , Wenjia Bai

Measuring gene expression simultaneously in both hosts and symbionts offers a powerful approach to explore the biology underlying species interactions. Such dual or simultaneous RNAseq approaches have primarily been used to gain insight…

Populations and Evolution · Quantitative Biology 2022-06-28 Amanda K Hund , Peter Tiffin , Jean-Gabriel Young , Daniel I Bolnick

1. Animal movement patterns contribute to our understanding of variation in breeding success and survival of individuals, and the implications for population dynamics. 2. Over time, sensor technology for measuring movement patterns has…

Quantitative Methods · Quantitative Biology 2018-01-11 Leah R. Johnson , Philipp H. Boersch-Supan , Richard A. Phillips , Sadie J. Ryan

The significant role of epigenetic mechanisms within natural systems has become increasingly clear. This paper uses a recently presented abstract, tunable Boolean genetic regulatory network model to explore aspects of epigenetics. It is…

Neural and Evolutionary Computing · Computer Science 2013-06-21 Larry Bull

Rapid advances in genetics, genomics, and imaging have given insight into the molecular and cellular basis of behaviour in a variety of model organisms with unprecedented detail and scope. It is increasingly routine to isolate behavioural…

Quantitative Methods · Quantitative Biology 2013-01-08 André E. X. Brown , William R. Schafer
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