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We advocate the use of qualitative models in the analysis of large biological systems. We show how qualitative models are linked to theoretical differential models and practical graphical models of biological networks. A new technique for…

Molecular Networks · Quantitative Biology 2007-05-23 Philippe Veber , Michel Le_Borgne , Anne Siegel , Sandrine Lagarrigue , Ovidiu Radulescu

Characterizing structural and dynamic properties of proteins and large macromolecular assemblies is crucial to understand the molecular mechanisms underlying biological functions. In the field of Structural Biology, no single method…

Quantitative Methods · Quantitative Biology 2023-10-04 Samuel Hoff , Maximilian Zinke , Nadia Izadi-Pruneyre , Massimiliano Bonomi

Current mathematical frameworks for predicting the flux state and macromolecular composition of the cell do not rely on thermodynamic constraints to determine the spontaneous direction of reactions. These predictions may be biologically…

Optimization and Control · Mathematics 2020-08-14 Amir Akbari , Bernhard O. Palsson

Biological processes involve a variety of spatial and temporal scales. A holistic understanding of many biological processes therefore requires multi-scale models which capture the relevant properties on all these scales. In this manuscript…

Molecular Networks · Quantitative Biology 2015-06-23 Jan Hasenauer , Nick Jagiella , Sabrina Hross , Fabian J. Theis

Nowadays, the amount of heterogeneous biomedical data is increasing more and more thanks to novel sensing techniques and high-throughput technologies. In reference to biomedical image analysis, the advances in image acquisition modalities…

Image and Video Processing · Electrical Eng. & Systems 2021-06-09 Leonardo Rundo

Modeling biological rhythms helps understand the complex principles behind the physical and psychological abnormalities of human bodies, to plan life schedules, and avoid persisting fatigue and mood and sleep alterations due to the…

Quantitative Methods · Quantitative Biology 2021-09-15 Runze Yan , Afsaneh Doryab

The field of basal cognition seeks to understand how adaptive, context-specific behavior occurs in non-neural biological systems. Embryogenesis and regeneration require plasticity in many tissue types to achieve structural and functional…

Neurons and Cognition · Quantitative Biology 2019-12-10 Santosh Manicka , Michael Levin

PhysiBoSS is an open-source platform that integrates agent-based modeling of cell populations with intracellular stochastic Boolean networks, enabling multiscale simulations of complex biological behaviors. To promote model sharing and…

Quantitative Methods · Quantitative Biology 2025-08-08 Vincent Noel , Marco Ruscone , Randy Heiland , Arnau Montagud , Alfonso Valencia , Emmanuel Barillot , Paul Macklin , Laurence Calzone

Whole-cell modelling is constrained by the laws of nature in general and the laws of thermodynamics in particular. This paper shows how one prolific source of information, stoichiometric models of biomolecular systems, can be integrated…

Molecular Networks · Quantitative Biology 2020-08-03 Peter J. Gawthrop

Amoeboid motion is a dynamic mode of cell motility essential for processes such as the immune response and wound healing. This review examines recent developments in the mathematical and computational modeling of amoeboid crawling, focusing…

Biological Physics · Physics 2026-03-17 Sergio Alonso , Carsten Beta

Biofilms are complex, self-organized consortia of microorganisms that produce a functional, protective matrix of biomolecules. Physically, the structure of a biofilm can be described as an entangled polymer network which grows and changes…

Biological Physics · Physics 2016-11-08 Marco G. Mazza

Physiological whole-body models are valuable tools for the development of novel drugs where understanding the system aspects is important. This paper presents a generalized model that encapsulates the structure and flow of whole-body human…

Quantitative Methods · Quantitative Biology 2024-04-23 Laura Hjort Blicher , Peter Emil Carstensen , Jacob Bendsen , Henrik Linden , Bjørn Hald , Kim Kristensen , John Bagterp Jørgensen

The human organism is an integrated network where complex physiologic systems, each with its own regulatory mechanisms, continuously interact, and where failure of one system can trigger a breakdown of the entire network. Identifying and…

Data Analysis, Statistics and Probability · Physics 2012-03-02 Amir Bashan , Ronny P. Bartsch , Jan W. Kantelhardt , Shlomo Havlin , Plamen Ch. Ivanov

Single-cell proteomics (SCP) is transforming our understanding of biological complexity by shifting from bulk proteomics, where signals are averaged over thousands of cells, to the proteome analysis of individual cells. This granular…

Quantitative Methods · Quantitative Biology 2025-04-01 Amanda Momenzadeh , Jesse G. Meyer

Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

Quantitative Methods · Quantitative Biology 2024-07-12 Vincent D. Zaballa , Elliot E. Hui

Life is characterized by a myriad of complex dynamic processes allowing organisms to grow, reproduce, and evolve. Physical approaches for describing systems out of thermodynamic equilibrium have been increasingly applied to living systems,…

Biological Physics · Physics 2020-12-16 Xiaona Fang , Karsten Kruse , Ting Lu , Jin Wang

Celcomen leverages a mathematical causality framework to disentangle intra- and inter- cellular gene regulation programs in spatial transcriptomics and single-cell data through a generative graph neural network. It can learn gene-gene…

The prediction of the three-dimensional native structure of proteins from the knowledge of their amino acid sequence, known as the protein folding problem, is one of the most important yet unsolved issues of modern science. Since the…

Biological Physics · Physics 2008-11-24 Pablo Echenique

The grand challenges in biology today are being shaped by powerful high-throughput technologies that have revealed the genomes of many organisms, global expression patterns of genes and detailed information about variation within…

Statistics Theory · Mathematics 2007-06-13 Lior Pachter , Bernd Sturmfels
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