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Recent advances in electron microscopy have enabled the imaging of single cells in 3D at nanometer length scale resolutions. An uncharted frontier for in silico biology is the ability to simulate cellular processes using these observed…

Spatial gradients of diffusible signalling molecules play crucial roles in controlling diverse cellular behaviour such as cell differentiation, tissue patterning and chemotaxis. In this paper, we report the design and testing of a…

Quantitative Methods · Quantitative Biology 2016-12-15 Yasushi Saka , Murray MacPherson , Claudiu V. Giuraniuc

The auto differentiable simulation is a type of simulation that outputs of the simulation include not only the simulation result itself, but also their derivatives with respect to various input parameters. It provides an efficient method to…

Computational Physics · Physics 2025-12-01 Ji Qianga , Yue Hao , Allen Qiang , Jinyu Wan

The increasing prevalence of cloud-native technologies, particularly containers, has led to the widespread adoption of containerized deployments in data centers. The advancement of deep neural network models has increased the demand for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-22 Jinlong Hu , Zhizhe Rao , Xingchen Liu , Lihao Deng , Shoubin Dong

Machine learning tasks involving biomedical signals frequently grapple with issues such as limited data availability, imbalanced datasets, labeling complexities, and the interference of measurement noise. These challenges often hinder the…

Signal Processing · Electrical Eng. & Systems 2024-01-30 Xiaomin Li , Mykhailo Sakevych , Gentry Atkinson , Vangelis Metsis

In recent years it is increasingly being recognized that biochemical signals are not necessarily constant in time and that the temporal dynamics of a signal can be the information carrier. Moreover, it is now well established that…

Molecular Networks · Quantitative Biology 2015-06-17 Wiet de Ronde , Pieter Rein ten Wolde

Most models of biological pattern formation are simulated on continuous domains even though cells are discrete objects that provide internal boundaries to the diffusion of regulatory components. In our previous papers on simulating…

Quantitative Methods · Quantitative Biology 2013-09-26 Jannik Vollmer , Denis Menshykau , Dagmar Iber

Piecewise smooth hybrid systems, involving continuous and discrete variables, are suitable models for describing the multiscale regulatory machinery of the biological cells. In hybrid models, the discrete variables can switch on and off…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Vincent Noel , Dima Grigoriev , Sergei Vakulenko , Ovidiu Radulescu

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

Simulators driven by deep learning are gaining popularity as a tool for efficiently emulating accurate but expensive numerical simulators. Successful applications of such neural simulators can be found in the domains of physics, chemistry,…

Quantitative Methods · Quantitative Biology 2022-11-04 Koen Minartz , Yoeri Poels , Vlado Menkovski

Simulation plays a central role in scientific discovery. In many applications, the bottleneck is no longer running a simulator; it is choosing among large families of plausible simulators, each corresponding to different forward…

To explain the differentiation of stem cells in terms of dynamical systems theory, models of interacting cells with intracellular protein expression dynamics are analyzed and simulated. Simulations were carried out for all possible protein…

Cell Behavior · Quantitative Biology 2015-06-15 Yusuke Goto , Kunihiko Kaneko

By considering special sampling of discrete scale invariant (DSI) processes we provide a sequence which is in correspondence to multi-dimensional self-similar process. By imposing Markov property we show that the covariance functions of…

Probability · Mathematics 2014-02-11 N. Modarresi , S. Rezakhah

Complex network dynamics have been analyzed with models of systems of coupled switches or systems of coupled oscillators. However, many complex systems are composed of components with diverse dynamics whose interactions drive the system's…

Quantitative Methods · Quantitative Biology 2012-01-09 Matthew R. Francis , Elana J. Fertig

In biological cells and novel diagnostic devices biochemical receptors need to be sensitive to extremely small concentration changes of signaling molecules. The accuracy of such molecular signaling is ultimately limited by the counting…

Subcellular Processes · Quantitative Biology 2023-04-06 Aljaz Godec , Ralf Metzler

Causal ordering of key events in the cell cycle is essential for proper functioning of an organism. Yet, it remains a mystery how a specific temporal program of events is maintained despite ineluctable stochasticity in the biochemical…

Molecular Networks · Quantitative Biology 2017-03-30 Farshid Jafarpour , Michael Vennettilli , Srividya Iyer-Biswas

Cells must continuously sense and respond to time-varying environmental stimuli. These signals are transmitted and processed by biochemical signalling networks. However, the biochemical reactions making up these networks are intrinsically…

Molecular Networks · Quantitative Biology 2015-05-18 Filipe Tostevin , Pieter Rein ten Wolde

Biochars have been attracting renewed attention as economical and environmentally friendly carbon sequestration materials with a diverse range of applications. However, experimental developments may be limited by the lack of molecular-level…

Materials Science · Physics 2024-06-11 Rosie Wood , Ondrej Masek , Valentina Erastova

When modeling complex, hierarchical, and time-dynamic systems, such as biological systems, good computational tools are essential. Current tools, while powerful, often lack comprehensive frameworks for modular model composition,…

Quantitative Methods · Quantitative Biology 2025-10-17 Henrik Podéus , Gustav Magnusson , Sasan Keshmiri , Kajsa Tunedal , Nicolas Sundqvist , William Lövfors , Gunnar Cedersund

Fast, accurate, and generalizable simulations are a key enabler of modern advances in robot design and control. However, existing simulation frameworks in robotics either model rigid environments and mechanisms only, or if they include…

Robotics · Computer Science 2024-02-21 Andrew Choi , Ran Jing , Andrew Sabelhaus , Mohammad Khalid Jawed