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This study investigates how dynamical systems may be learned and modelled with a neuromorphic network which is itself a dynamical system. The neuromorphic network used in this study is based on a complex electrical circuit comprised of…

Disordered Systems and Neural Networks · Physics 2025-10-24 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

Nested Effects Models (NEMs) are a class of graphical models introduced to analyze the results of gene perturbation screens. NEMs explore noisy subset relations between the high-dimensional outputs of phenotyping studies, e.g. the effects…

Quantitative Methods · Quantitative Biology 2010-10-08 Achim Tresch , Florian Markowetz

Based on a recently proposed non-equilibrium mechanism for spatial pattern formation [cond-mat/0312366] we study how morphogenesis can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of…

Molecular Networks · Quantitative Biology 2007-05-23 Thimo Rohlf , Stefan Bornholdt

The seemingly stochastic transient dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference. In vitro neurons, on the other hand, exhibit a highly deterministic…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Johannes Bill , Ilja Bytschok , Johannes Schemmel , Karlheinz Meier

Signal transduction networks can form highly interconnected systems within cells due to network crosstalk, the sharing of input signals between multiple downstream responses. To better understand the evolutionary design principles…

Biological Physics · Physics 2018-02-14 Ammar Tareen , Ned S. Wingreen , Ranjan Mukhopadhyay

Neural development represents not only an exciting and complex field of study, with ongoing progress, but it also became the epicentre of neuroscience and developmental biology, as it strives to describe the underlying cellular and…

Neurons and Cognition · Quantitative Biology 2014-05-15 Ana M. Mihut , Graham Morgan , Marcus Kaiser

Cell biomechanics involve a great number of complex phenomena that are fundamental to the evolution of life itself and other associated processes, ranging from the very early stages of embryo-genesis to the maintenance of damaged structures…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Juan Olalla-Pombo , Alberto Badías , Miguel Ángel Sanz-Gómez , José María Benítez , Francisco Javier Montáns

Perception is often described as a predictive process based on an optimal inference with respect to a generative model. We study here the principled construction of a generative model specifically crafted to probe motion perception. In that…

Computer Vision and Pattern Recognition · Computer Science 2015-11-10 Jonathan Vacher , Andrew Meso , Laurent U Perrinet , Gabriel Peyré

Finding an appropriate representation of dynamic activities in the brain is crucial for many downstream applications. Due to its highly dynamic nature, temporally averaged fMRI (functional magnetic resonance imaging) can only provide a…

Machine Learning · Computer Science 2022-08-18 Sikun Lin , Shuyun Tang , Scott Grafton , Ambuj Singh

We show that a neural network originally designed for language processing can learn the dynamical rules of a stochastic system by observation of a single dynamical trajectory of the system, and can accurately predict its emergent behavior…

Statistical Mechanics · Physics 2022-02-18 Corneel Casert , Isaac Tamblyn , Stephen Whitelam

Cancer invasion and metastasis depend on angiogenesis. The cellular processes (growth, migration, and apoptosis) that occur during angiogenesis are tightly regulated by signaling molecules. Thus, understanding how cells synthesize multiple…

Molecular Networks · Quantitative Biology 2008-03-05 Amy L. Bauer , Trachette L. Jackson , Yi Jiang , Thimo Rohlf

Single-cell gene expression measurements encode variability spanning molecular noise, cell-to-cell heterogeneity, and technical artifacts. Mechanistic stochastic models provide powerful approaches to disentangle these sources, yet inferring…

Quantitative Methods · Quantitative Biology 2025-09-19 Christopher E. Miles

We introduce generative models for accelerating simulations of complex systems through learning and evolving their effective dynamics. In the proposed Generative Learning of Effective Dynamics (G-LED), instances of high dimensional data are…

Machine Learning · Computer Science 2024-02-28 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

Understanding the rules underlying organismal development is a major unsolved problem in biology. Each cell in a developing organism responds to signals in its local environment by dividing, excreting, consuming, or reorganizing, yet how…

Cell Behavior · Quantitative Biology 2025-08-20 Ramya Deshpande , Francesco Mottes , Ariana-Dalia Vlad , Michael P. Brenner , Alma dal Co

The dynamics of gene regulatory networks is governed by the interaction between deterministic biochemical reactions and molecular noise. To understand how gene regulatory networks process information during cell state transitions, we study…

Molecular Networks · Quantitative Biology 2025-09-11 Miguel Ángel García-Ariza , Alessandro Bravetti , Pablo Padilla , J Roberto Romero-Arias

A plethora of networks is being collected in a growing number of fields, including disease transmission, international relations, social interactions, and others. As data streams continue to grow, the complexity associated with these highly…

Machine Learning · Statistics 2018-09-11 Daniele Durante , Nabanita Mukherjee , Rebecca C. Steorts

Tissue mechanics--stiffness, density and impedance contrast--are broadly informative biomarkers across diseases, yet routine CT, MRI, and B-mode ultrasound rarely quantify them directly. While ultrasound tomography (UT) is intrinsically…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Zhijun Zeng , Youjia Zheng , Chang Su , Qianhang Wu , Hao Hu , Zeyuan Dong , Shan Gao , Yang Lv , Rui Tang , Ligang Cui , Zhiyong Hou , Weijun Lin , Zuoqiang Shi , Yubing Li , He Sun

The growing importance of real-time simulation in the medical field has exposed the limitations and bottlenecks inherent in the digital representation of complex biological systems. This paper presents a novel methodology aimed at advancing…

Machine Learning · Computer Science 2024-12-17 Lucas Tesán , David González , Pedro Martins , Elías Cueto

A key goal of systems biology is the predictive mathematical description of gene regulatory circuits. Different approaches are used such as deterministic and stochastic models, models that describe cell growth and division explicitly or…

Molecular Networks · Quantitative Biology 2012-10-12 Rahul Marathe , Veronika Bierbaum , David Gomez , Stefan Klumpp

Mathematical modeling is an essential step, for example, to analyze the transient behavior of a dynamical process and to perform engineering studies such as optimization and control. With the help of first-principles and expert knowledge, a…

Machine Learning · Computer Science 2021-03-30 Pawan Goyal , Peter Benner
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