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Many systems in biology, physics, and engineering are modeled by nonlinear dynamical systems where the states are usually unknown and only a subset of the state variables can be physically measured. Can we understand the full system from…

动力系统 · 数学 2025-05-01 Bhargav Karamched , Jack Schmidt , David Murrugarra

A vast array of transformative technologies developed over the past decade has enabled measurement and perturbation at ever increasing scale, yet our understanding of many systems remains limited by experimental capacity. Overcoming this…

定量方法 · 定量生物学 2020-12-25 Brian Cleary , Aviv Regev

Individual choices often depend on the order in which the decisions are made. In this paper, we expose a general theory of measurable systems (an example of which is an individual's preferences) allowing for incompatible (non-commuting)…

物理与社会 · 物理学 2007-06-20 V. I. Danilov , A. Lambert-Mogiliansky

The measurement of human behavior remains a central challenge across the behavioral sciences. Traditional approaches typically rely on passive observation of responses collected under static or weakly controlled conditions, limiting the…

统计方法学 · 统计学 2026-03-31 Pietro Cipresso

Molecular simulations and biophysical experiments can be used to provide independent and complementary insights into the molecular origin of biological processes. A particularly useful strategy is to use molecular simulations as a modelling…

化学物理 · 物理学 2019-12-10 Simone Orioli , Andreas Haahr Larsen , Sandro Bottaro , Kresten Lindorff-Larsen

Observability is a modelling property that describes the possibility of inferring the internal state of a system from observations of its output. A related property, structural identifiability, refers to the theoretical possibility of…

定量方法 · 定量生物学 2018-12-12 Alejandro F. Villaverde

The physiological tradition of biological research analyzes biological systems using reduced descriptions much as an engineer uses a 'black box' description of an amplifier. Simple models have been used by physiologists for a very long…

其他定量生物学 · 定量生物学 2012-07-06 Bob Eisenberg

Biologists and physicists have a rich tradition of modeling living systems with simple models composed of a few interacting components. Despite the remarkable success of this approach, it remains unclear how to use such finely tuned models…

生物物理 · 物理学 2025-09-05 Ilya Nemenman , Pankaj Mehta

Measuring the statistical dependence between observed signals is a primary tool for scientific discovery. However, biological systems often exhibit complex non-linear interactions that currently cannot be captured without a priori knowledge…

Nonlinearity in many systems is heavily dependent on component variation and environmental factors such as temperature. This is often overcome by keeping signals close enough to the device's operating point that it appears approximately…

信号处理 · 电气工程与系统科学 2022-05-18 Lachlan J. Gunn , Andrew Allison , Derek Abbott

Replicability and reproducibility of experimental results are primary concerns in all the areas of science and IR is not an exception. Besides the problem of moving the field towards more reproducible experimental practices and protocols,…

信息检索 · 计算机科学 2020-10-27 Timo Breuer , Nicola Ferro , Norbert Fuhr , Maria Maistro , Tetsuya Sakai , Philipp Schaer , Ian Soboroff

Life depends as much on the flow of information as on the flow of energy. Here we review the many efforts to make this intuition precise. Starting with the building blocks of information theory, we explore examples where it has been…

定量方法 · 定量生物学 2014-12-31 Gašper Tkačik , William Bialek

Dynamical systems modeling, particularly via systems of ordinary differential equations, has been used to effectively capture the temporal behavior of different biochemical components in signal transduction networks. Despite the recent…

定量方法 · 定量生物学 2023-01-06 Nathaniel J. Linden , Boris Kramer , Padmini Rangamani

This paper introduces a novel approach to quantifying ecological resilience in biological systems, particularly focusing on noisy systems responding to episodic disturbances with sudden adaptations. Incorporating concepts from…

定量方法 · 定量生物学 2024-12-24 Jorge M. Ramirez , Juan M. Restrepo , Valerio Lucarini , David Weston

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

最优化与控制 · 数学 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

Many of life's most fascinating phenomena emerge from interactions among many elements--many amino acids determine the structure of a single protein, many genes determine the fate of a cell, many neurons are involved in shaping our thoughts…

定量方法 · 定量生物学 2011-11-28 Thierry Mora , William Bialek

The measurement process of observables in a quantum system comes out to be an unsovable problem which started in the early times of the development of the theory. In the present note we consider the measured system part of an open system…

量子物理 · 物理学 2023-12-21 Jean Richert , Tarek Khalil

Complex systems are characterized by specific time-dependent interactions among their many constituents. As a consequence they often manifest rich, non-trivial and unexpected behavior. Examples arise both in the physical and non-physical…

物理与社会 · 物理学 2018-11-21 Yurij Holovatch , Ralph Kenna , Stefan Thurner

Biological systems are generally complicated and/or complex. In the former approach, one sets up a model with a large number of parameters to describe the system in detail. The latter approach focuses on understanding the universal aspects…

生物物理 · 物理学 2026-03-19 Kunihiko Kaneko

Stochastic processes offer a flexible mathematical formalism to model and reason about systems. Most analysis tools, however, start from the premises that models are fully specified, so that any parameters controlling the system's dynamics…

系统与控制 · 计算机科学 2017-01-11 Luca Bortolussi , Guido Sanguinetti
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