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Multi-stack pushdown systems are a well-studied model of concurrent computation using threads with first-order procedure calls. While, in general, reachability is undecidable, there are numerous restrictions on stack behaviour that lead to…

Formal Languages and Automata Theory · Computer Science 2013-10-11 Matthew Hague

Partial differential equations are a convenient way to describe reaction- advection-diffusion processes of signalling models. If only one cell type is present, and tissue dynamics can be neglected, the equations can be solved directly.…

Quantitative Methods · Quantitative Biology 2015-09-29 Simon Tanaka

In this paper, Particle-in-Cell algorithms for the Vlasov-Poisson system are presented based on its Poisson bracket structure. The Poisson equation is solved by finite element methods, in which the appropriate finite element spaces are…

Numerical Analysis · Mathematics 2022-08-10 Anjiao Gu , Yang He , Yajuan Sun

Computational complexity is a core theory of computer science, which dictates the degree of difficulty of computation. There are many problems with high complexity that we have to deal, which is especially true for AI. This raises a big…

Computational Complexity · Computer Science 2023-01-10 Chuyu Xiong

Particle methods are less computationally efficient than grid based numerical solution of the Navier Stokes equation. However, they have important advantages including rigorous mass conservation, momentum conservation and isotropy. In…

Fluid Dynamics · Physics 2024-06-26 Paul Meakin , Zhijie Xu

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

Contactless manipulation of small objects is essential for biomedical and chemical applications, such as cell analysis, assisted fertilisation, and precision chemistry. Established methods, including optical, acoustic, and magnetic…

Fluid Dynamics · Physics 2025-07-02 Lucas Amoudruz , Petr Karnakov , Petros Koumoutsakos

Trapping and manipulation of small particles underlies many scientific and technological applications. Recently, the precise manipulation of multiple small particles was demonstrated using a Stokes trap that relies only on fluid flow…

Fluid Dynamics · Physics 2019-11-06 Anish Shenoy , Dinesh Kumar , Sascha Hilgenfeldt , Charles M. Schroeder

Multisets are an intuitive extension of the traditional concept of sets that allow repetition of elements, with the number of times each element appears being understood as the respective multiplicity. Recent generalizations of multisets to…

Emerging Technologies · Computer Science 2021-11-17 Luciano da F. Costa

We introduce a multi-species lattice gas model for motor protein driven collective cargo transport on cellular filaments. We use this model to describe and analyze the collective motion of interacting vesicle cargoes being carried by…

Statistical Mechanics · Physics 2010-09-10 Sudipto Muhuri , Ignacio Pagonabarraga

This paper presents a method for retinal vasculature extraction based on biologically inspired multi-orientation analysis. We apply multi-orientation analysis via so-called invertible orientation scores, modeling the cortical columns in the…

Computer Vision and Pattern Recognition · Computer Science 2015-04-09 Erik Bekkers , Remco Duits , Tos Berendschot , Bart ter Haar Romeny

Deterministic many-body systems governed by simple interactions can self-organize into macroscopic patterns, and the determinants of long-time behavior are assumed to be encoded in the initial configuration. Here we show that predictability…

Biological Physics · Physics 2026-04-02 Lars Koopmans , Elinor M. Kay , Hyun Youk

We present a method for automated segmentation of the vasculature in retinal images. The method produces segmentations by classifying each image pixel as vessel or non-vessel, based on the pixel's feature vector. Feature vectors are…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 João V. B. Soares , Jorge J. G. Leandro , Roberto M. Cesar , Herbert F. Jelinek , Michael J. Cree

Cell segmentation is a fundamental task for computational biology analysis. Identifying the cell instances is often the first step in various downstream biomedical studies. However, many cell segmentation algorithms, including the recently…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Gihun Lee , Sangmook Kim , Joonkee Kim , Se-Young Yun

We present a fully modular and scalable software pipeline for processing electron microscope (EM) images of brain slices into 3D visualization of individual neurons and demonstrate an end-to-end segmentation of a large EM volume using a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-20 Rafael Vescovi , Hanyu Li , Jeffery Kinnison , Murat Keceli , Misha Salim , Narayanan Kasthuri , Thomas D. Uram , Nicola Ferrier

Dataset distillation aims to minimize the time and memory needed for training deep networks on large datasets, by creating a small set of synthetic images that has a similar generalization performance to that of the full dataset. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-12 Xuxi Chen , Yu Yang , Zhangyang Wang , Baharan Mirzasoleiman

The article is devoted to the issues of using discrete simulation models for modeling some basic technological processes. In the scientific work, models in the form of multi-agent systems have been investigated, which allow us to consider a…

Multiagent Systems · Computer Science 2021-09-28 Sergey Petrovich Bobkov , Irina Aleksandrovna Astrakhantseva

The two parameter Poisson-Dirichlet Process (PDP), a generalisation of the Dirichlet Process, is increasingly being used for probabilistic modelling in discrete areas such as language technology, bioinformatics, and image analysis. There is…

Statistics Theory · Mathematics 2012-02-17 Wray Buntine , Marcus Hutter

Many CAD learning pipelines discretize Boundary Representations (B-Reps) into triangle meshes, discarding analytic surface structure and topological adjacency and thereby weakening consistent instance-level analysis. We present STEP-Parts,…

Graphics · Computer Science 2026-04-21 Shen Fan , Mikołaj Kida , Przemyslaw Musialski

Cellular automata are investigated towards their ability to compute transductions, that is, to transform inputs into outputs. The families of transductions computed are classified with regard to the time allowed to process the input and to…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Martin Kutrib , Andreas Malcher