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Comprehensive simulations of the entire biochemistry of cells have great potential to help physicians treat disease and help engineers design biological machines. But such simulations must model networks of millions of molecular species and…

Molecular Networks · Quantitative Biology 2020-05-22 Arthur P. Goldberg , David R. Jefferson , John A. P. Sekar , Jonathan R. Karr

Stochasticity is a key characteristic of intracellular processes such as gene regulation and chemical signalling. Therefore, characterising stochastic effects in biochemical systems is essential to understand the complex dynamics of living…

Molecular Networks · Quantitative Biology 2019-03-04 David J. Warne , Ruth E. Baker , Matthew J. Simpson

At the cellular scale, biochemical processes are governed by random interactions between reactant molecules with small copy counts, leading to behavior that is inherently stochastic. Such systems are often modeled as continuous-time Markov…

Data Structures and Algorithms · Computer Science 2015-09-02 Kevin R. Sanft , Hans G. Othmer

Simulation of biomolecular networks is now indispensable for studying biological systems, from small reaction networks to large ensembles of cells. Here we present a novel approach for stochastic simulation of networks embedded in the…

Quantitative Methods · Quantitative Biology 2016-09-28 Margaritis Voliotis , Philipp Thomas , Ramon Grima , Clive G. Bowsher

Stochastic models of biochemical reaction networks are widely used to capture intrinsic noise in cellular systems. The typical formulation of these models are based on Markov processes for which there is extensive research on efficient…

Molecular Networks · Quantitative Biology 2025-12-03 Thomas P. Steele , David J. Warne

Large-scale manufacturing of induced pluripotent stem cells (iPSCs) is essential for cell therapies and regenerative medicines. Yet, iPSCs form large cell aggregates in suspension bioreactors, resulting in insufficient nutrient supply and…

Molecular Networks · Quantitative Biology 2023-10-12 Hua Zheng , Sarah W. Harcum , Jinxiang Pei , Wei Xie

The stochastic simulation of biological systems is an increasingly popular technique in bioinformatics. It often is an enlightening technique, which may however result in being computational expensive. We discuss the main opportunities to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Marco Aldinucci , Mario Coppo , Ferruccio Damiani , Maurizio Drocco , Massimo Torquati , Angelo Troina

Several stochastic simulation algorithms (SSAs) have been recently proposed for modelling reaction-diffusion processes in cellular and molecular biology. In this paper, two commonly used SSAs are studied. The first SSA is an on-lattice…

Biological Physics · Physics 2015-05-13 Radek Erban , S Jonathan Chapman

Models of reaction chemistry based on the stochastic simulation algorithm (SSA) have become a crucial tool for simulating complicated biological reaction networks due to their ability to handle extremely complicated reaction networks and to…

Quantitative Methods · Quantitative Biology 2009-11-13 Navodit Misra , Russell Schwartz

Biochemical networks play a crucial role in biological systems, implementing a broad range of vital functions. They normally operate at low copy numbers and in spatial settings, but this is often ignored and well-stirred conditions are…

Molecular Networks · Quantitative Biology 2017-05-25 Thomas R. Sokolowski , Pieter Rein ten Wolde

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

Probability · Mathematics 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

Single-cell data reveal the presence of biological stochasticity between cells of identical genome and environment, in particular highlighting the transcriptional bursting phenomenon. To account for this property, gene expression may be…

Molecular Networks · Quantitative Biology 2026-05-19 Mathilde Gaillard , Ulysse Herbach

The stochastic simulation algorithm (SSA) is widely used to perform exact forward simulation of discrete stochastic processes in biology. However, the computational cost, driven by sequential event-by-event sampling across large ensembles,…

Quantitative Methods · Quantitative Biology 2026-05-04 Tom Kimpson , Mark B. Flegg , Jennifer A. Flegg

Multiscale simulations are essential in the biomedical domain to accurately model human physiology. We present a modular approach for designing, constructing and executing multiscale simulations on a wide range of resources, from desktops…

Advances in bioengineering and biomedicine demand a deep understanding of the dynamic behavior of biological systems, ranging from protein pathways to complex cellular processes. Biological networks like gene regulatory networks and protein…

Biomolecules · Quantitative Biology 2023-10-31 Mayalen Etcheverry , Michael Levin , Clément Moulin-Frier , Pierre-Yves Oudeyer

Stochastic, spatial reaction-diffusion simulations have been widely used in systems biology and computational neuroscience. However, the increasing scale and complexity of simulated models and morphologies have exceeded the capacity of any…

Quantitative Methods · Quantitative Biology 2016-10-10 Weiliang Chen , Erik De Schutter

In recent years, several particle-based stochastic simulation algorithms (PSSA) have been developed to study the spatially resolved dynamics of biochemical networks at a molecular scale. A challenge all these approaches have to address is…

Quantitative Methods · Quantitative Biology 2011-07-04 Thorsten Prüstel , Martin Meier-Schellersheim

Biological systems typically involve large numbers of components with complex, highly parallel interactions and intrinsic stochasticity. To model this complexity, numerous programming languages based on process calculi have been developed,…

Programming Languages · Computer Science 2010-11-03 Andrew Phillips , Matthew Lakin , Loïc Paulevé

Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction-diffusion processes are widely used to model such behaviour in disciplines ranging from biology to…

Statistical Mechanics · Physics 2016-08-23 David Schnoerr , Ramon Grima , Guido Sanguinetti

Surfaces serve as highly efficient catalysts for a vast variety of chemical reactions. Typically, such surface reactions involve billions of molecules which diffuse and react over macroscopic areas. Therefore, stochastic fluctuations are…

Statistical Mechanics · Physics 2007-10-12 B. Barzel , O. Biham
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