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Single-cell trajectory analysis aims to reconstruct the biological developmental processes of cells as they evolve over time, leveraging temporal correlations in gene expression. During cellular development, gene expression patterns…

Applications · Statistics 2026-03-30 Junhao Zhu , Kevin Zhang , Zhaolei Zhang , Dehan Kong

Over the last decade, proteomic analysis of single cells by mass spectrometry transitioned from an uncertain possibility to a set of robust and rapidly advancing technologies supporting the accurate quantification of thousands of proteins.…

Quantitative Methods · Quantitative Biology 2026-04-14 Nikolai Slavov

Cells of the human body have nearly identical genome but exhibit very different phenotypes that allow them to carry out specific functions and react to changes in their surrounding environment. This division of labour is achieved by…

Cell Behavior · Quantitative Biology 2021-11-24 Hanan Dreiwi , Flavia Feliciangeli , Mario Castro , Grant Lythe , Carmen Molina-París , Martín López-García

Measuring the statistical dependence between observed signals is a primary tool for scientific discovery. However, biological systems often exhibit complex non-linear interactions that currently cannot be captured without a priori knowledge…

Tissue homeostasis, the biological process of maintaining a steady state in tissue via control of cell proliferation, death, and metabolic function, is essential for the development, growth, maintenance, and proper function of living…

Biological Physics · Physics 2025-01-15 KVS Chaithanya , Jan Rozman , Andrej Košmrlj , Rastko Sknepnek

Establishing a quantitative connection between the population growth rate and the generation times of single cells is a prerequisite for understanding evolutionary dynamics of microbes. However, existing theories fail to account for the…

Populations and Evolution · Quantitative Biology 2017-09-19 Jie Lin , Ariel Amir

Cancer development is a multistep process often starting with a single cell in which a number of epigenetic and genetic alterations have accumulated thus transforming it into a tumor cell. The progeny of such a single benign tumor cell…

Tissues and Organs · Quantitative Biology 2022-09-21 Steffen Lange , Richard Mogwitz , Denis Hünniger , Anja Voss-Böhme

Mathematical modelling has a long history in the context of collective cell migration, with applications throughout development, disease and regenerative medicine. The aim of modelling in this context is to provide a framework in which to…

Quantitative Methods · Quantitative Biology 2025-06-24 Ruth E. Baker , Rebecca M. Crossley , Carles Falco , Simon F. Martina-Perez

Control of cell proliferation is a fundamental aspect of tissue physiology central to morphogenesis, wound healing and cancer. Although many of the molecular genetic factors are now known, the system level regulation of growth is still…

Tissues and Organs · Quantitative Biology 2015-06-03 Alberto Puliafito , Lars Hufnagel , Pierre Neveu , Sebastian Streichan , Alex Sigal , Deborah K. Fygenson , Boris I. Shraiman

Recently developed technologies to generate single-cell genomic data have made a revolutionary impact in the field of biology. Multi-omics assays offer even greater opportunities to understand cellular states and biological processes.…

Genomics · Quantitative Biology 2022-01-19 Stefan Stanojevic , Yijun Li , Lana X. Garmire

A number of biological processes, such as embryo development, cancer metastasis or wound healing, rely on cells moving in concert. The mechanisms leading to the emergence of coordinated motion remain however largely unexplored. Although…

Cell Behavior · Quantitative Biology 2011-08-23 Alexandre J Kabla

Gene regulatory networks are powerful tools for modeling interactions among genes to regulate their expression for homeostasis and differentiation. Single-cell sequencing offers a unique opportunity to build these networks with…

Molecular Networks · Quantitative Biology 2026-01-06 Yasin Uzun

Competitive interactions represent one of the driving forces behind evolution and natural selection in biological and sociological systems. For example, animals in an ecosystem may vie for food or mates; in a market economy, firms may…

Physics and Society · Physics 2013-07-03 Jacobo Aguirre , David Papo , Javier M. Buldú

Modern biology and biomedicine are undergoing a big-data explosion needing advanced computational algorithms to extract mechanistic insights on the physiological state of living cells. We present the motivation for the Cell Physiome: a…

Cell Behavior · Quantitative Biology 2022-03-08 Vijay Rajagopal , Senthil Arumugam , Peter Hunter , Afshin Khadangi , Joshua Chung , Michael Pan

We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to different populations may be characterised by different…

Analysis of PDEs · Mathematics 2021-09-28 Chiara Giverso , Tommaso Lorenzi , Luigi Preziosi

Cell populations are never truly homogeneous; individual cells exist in biochemical states that define functional differences between them. New technology based on microfluidic arrays combined with multiplexed quantitative polymerase chain…

Understanding to what extent stem cell potential is a cell-intrinsic property, or an emergent behavior coming from global tissue dynamics and geometry, is a key outstanding question of systems and stem cell biology. Here, we propose a…

Human physiology and pathology arise from the coordinated interactions of diverse single cells. However, analyzing single cells has been limited by the low sensitivity and throughput of analytical methods. DNA sequencing has recently made…

Quantitative Methods · Quantitative Biology 2020-06-23 Nikolai Slavov

We discuss a cellular automata model to study the competition between an emergent better fitted species against an existing majority species. The model implement local fights among small group of individual and a synchronous random walk on…

Disordered Systems and Neural Networks · Physics 2009-11-07 Serge Galam , Bastien Chopard , Michel Droz

Mathematical and computational models can assist in gaining an understanding of cell behavior at many levels of organization. Here, we review models in the literature that focus on eukaryotic cell motility at 3 size scales: intracellular…

Cell Behavior · Quantitative Biology 2021-01-27 Andreas Buttenschön , Leah Edelstein-Keshet