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Hybrid modeling provides an effective solution to cope with multiple time scales dynamics in systems biology. Among the applications of this method, one of the most important is the cell cycle regulation. The machinery of the cell cycle,…

Computational Engineering, Finance, and Science · Computer Science 2013-09-05 Vincent Noël , Sergey Vakulenko , Ovidiu Radulescu

The majority of solid tumours arise in epithelia and therefore much research effort has gone into investigating the growth, renewal and regulation of these tissues. Here we review different mathematical and computational approaches that…

Tissues and Organs · Quantitative Biology 2019-12-23 O. J. Maclaren , A. G. Fletcher , H. M. Byrne , P. K. Maini

Peripheral membrane proteins can reversibly and specifically bind to biological membranes to carry out functions such as cell signalling, enzymatic activity, or membrane remodelling. Structures of these proteins and of their lipid-binding…

Biological Physics · Physics 2023-11-14 Andreas Haahr Larsen , Laura H. John , Mark S. P. Sansom , Robin A. Corey

We propose a mathematical kinetic framework to investigate interactions between tumor cells and the immune system, focusing on the spatial dynamics of tumor progression and immune responses. We develop two kinetic models: one describes a…

Cell Behavior · Quantitative Biology 2026-02-24 Martina Conte , Romina Travaglini

Urban systems are intrinsically complex, involving different dimensions and scales, and consequently various approaches and scientific disciplines. In that context, urban simulation models have been coined as essential for the construction…

Computers and Society · Computer Science 2021-05-31 Juste Raimbault

Kinetically constrained models have been widely studied in the context of glass formers and non-equilibrium statistical mechanics. Although their simple local rules often result in structureless static properties, their dynamics exhibit…

Quantum Physics · Physics 2026-03-20 Marcel Cech , Johan du Buisson , Cecilia De Fazio , Federico Carollo , Igor Lesanovsky

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

Populations and Evolution · Quantitative Biology 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas

A dynamical quantum model assigns an eigenstate to a specified observable even when no measurement is made, and gives a stochastic evolution rule for that eigenstate. Such a model yields a distribution over classical histories of a quantum…

Quantum Physics · Physics 2007-05-23 Scott Aaronson

Multiple time-scale algorithms exploit the natural separation of time-scales in chemical systems to greatly accelerate the efficiency of molecular dynamics simulations. Although the utility of these methods in systems where the interactions…

Computational Physics · Physics 2015-06-18 Nathan Luehr , Thomas E. Markland , Todd J. Martinez

Here, steady-state reaction networks are inspected from the viewpoint of individual tagged molecules jumping among their chemical states upon the occurrence of reactive events. Such an agent-based viewpoint is useful for selectively…

Chemical Physics · Physics 2022-05-16 Daniele Asnicar , Emanuele Penocchio , Diego Frezzato

Thanks to novel, powerful brain activity recording techniques, we can create data-driven models from thousands of recording channels and large portions of the cortex, which can improve our understanding of brain-states neuromodulation and…

Molecular Dynamics (MD) simulation is widely used to analyze the properties of molecules and materials. Most practical applications, such as comparison with experimental measurements, designing drug molecules, or optimizing materials, rely…

Chemical Physics · Physics 2018-12-20 Frank Noé

Dynamic models are widely used to mathematically describe biological phenomena that evolve over time. One important area of application is leukaemia research, where leukaemia cells are genetically modified in preclinical studies to explore…

Methodology · Statistics 2026-02-02 Julian Wäsche , Romina Ludwig , Irmela Jeremias , Christiane Fuchs

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

Quantitative Methods · Quantitative Biology 2010-01-20 Tina Toni , Michael P. H. Stumpf

Recent advances at the intersection of control theory, neuroscience, and machine learning have revealed novel mechanisms by which dynamical systems perform computation. These advances encompass a wide range of conceptual, mathematical, and…

Machine Learning · Computer Science 2026-04-10 Arthur N. Montanari , Francesco Bullo , Dmitry Krotov , Adilson E. Motter

Computer simulations have become a very powerful tool for scientific research. In order to facilitate research in computational biology, the BioDynaMo project aims at a general platform for biological computer simulations, which should be…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-18 Lukas Breitwieser , Roman Bauer , Alberto Di Meglio , Leonard Johard , Marcus Kaiser , Marco Manca , Manuel Mazzara , Fons Rademakers , Max Talanov

The ribosome is a macromolecular complex which is responsible for protein synthesis in all living cells according to their transcribed genetic information. Using X-ray crystallography and, more recently, cryo-electron microscopy (cryo-EM),…

Biological Physics · Physics 2017-11-17 Lars V. Bock , Michal H. Kolář , Helmut Grubmüller

The formation and regulation of macromolecular complexes provides the backbone of most cellular processes, including gene regulation and signal transduction. The inherent complexity of assembling macromolecular structures makes current…

Molecular Networks · Quantitative Biology 2007-05-23 Leonor Saiz , Jose M. G. Vilar

We present a continuum model trained on molecular dynamics (MD) simulations for cellular membranes composed of an arbitrary number of lipid types. The model is constructed within the formalism of dynamic density functional theory and can be…

Modeling and simulation are recognized as important aspects of the scientific method for more than 70 years but its adoption in biology has been slow. Debates on its representativeness, usefulness, and whether the effort spent on such…

Quantitative Methods · Quantitative Biology 2023-02-21 Maurice HT Ling
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