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Complex biological processes are usually experimented along time among a collection of individuals. Longitudinal data are then available and the statistical challenge is to better understand the underlying biological mechanisms. The…

统计理论 · 数学 2015-06-11 Pierre Barbillon , Célia Barthélémy , Adeline Samson

We introduce novel characterizations for many-body phase transitions between delocalized and localized phases based on the system's sensitivity to boundary conditions. In particular, we change boundary conditions from periodic to…

强关联电子 · 物理学 2021-01-27 Mohammad Pouranvari , Shiuan-Fan Liou

We develop Random Batch Methods for interacting particle systems with large number of particles. These methods use small but random batches for particle interactions, thus the computational cost is reduced from $O(N^2)$ per time step to…

数值分析 · 数学 2019-09-25 Shi Jin , Lei Li , Jian-Guo Liu

Quantitative Systems Pharmacology (QSP) promises to accelerate drug development, enable personalized medicine, and improve the predictability of clinical outcomes. Realizing this potential requires effectively managing the complexity of…

定量方法 · 定量生物学 2025-06-10 Noah DeTal , Christian N. K. Anderson , Mark K. Transtrum

Due to the widespread use of complex machine learning models in real-world applications, it is becoming critical to explain model predictions. However, these models are typically black-box deep neural networks, explained post-hoc via…

机器学习 · 计算机科学 2022-10-20 Filip Radenovic , Abhimanyu Dubey , Dhruv Mahajan

Scientists use mathematical modelling to understand and predict the properties of complex physical systems. In highly parameterised models there often exist relationships between parameters over which model predictions are identical, or…

数据分析、统计与概率 · 物理学 2017-03-24 Dhruva V. Raman , James Anderson , Antonis Papachristodoulou

We present a bigraphical framework suited for modeling biological systems both at protein level and at membrane level. We characterize formally bigraphs corresponding to biologically meaningful systems, and bigraphic rewriting rules…

计算工程、金融与科学 · 计算机科学 2009-11-25 Giorgio Bacci , Davide Grohmann , Marino Miculan

Biological systems are often modeled as a system of ordinary differential equations (ODEs) with time-invariant parameters. However, cell signaling events or pharmacological interventions may alter the cellular state and induce multi-mode…

定量方法 · 定量生物学 2020-04-28 Bing Liu

Motivation: In systems biology, modelling strategies aim to decode how molecular components interact to generate dynamical behaviour. Boolean modelling is more and more used, but the description of the dynamics from two-levels components…

分子网络 · 定量生物学 2024-07-16 Nadine Ben Boina , Brigitte Mossé , Anaïs Baudot , Élisabeth Remy

Large-scale electrophysiological recordings now allow simultaneous monitoring of thousands of neurons across multiple brain regions, revealing structured variability in neural population activity. Understanding how these collective patterns…

Biological systems are often modelled at different levels of abstraction depending on the particular aims/resources of a study. Such different models often provide qualitatively concordant predictions over specific parametrisations, but it…

机器学习 · 统计学 2016-05-10 Giulio Caravagna , Luca Bortolussi , Guido Sanguinetti

This study performs parameter inference in a partial differential equations system of pulmonary circulation. We use a fluid dynamics network model that takes selected parameter values and mimics the behaviour of the pulmonary haemodynamics…

A challenge in global change biology is to predict how species will respond to future environmental change and to manage these responses. To make such predictions and management actions robust to novel futures, we need to accurately…

Despite the frequent use of agent-based models (ABMs) for studying social phenomena, parameter estimation remains a challenge, often relying on costly simulation-based heuristics. This work uses variational inference to estimate the…

计算机与社会 · 计算机科学 2025-12-04 Jacopo Lenti , Fabrizio Silvestri , Gianmarco De Francisci Morales

We identify a new "order parameter" for the disorder driven many-body localization (MBL) transition by leveraging artificial intelligence. This allows us to pin down the transition, as the point at which the physics changes qualitatively,…

量子物理 · 物理学 2019-11-19 Patrick Huembeli , Alexandre Dauphin , Peter Wittek , Christian Gogolin

Natural behavior consists of dynamics that are both unpredictable, can switch suddenly, and unfold over many different timescales. While some success has been found in building representations of behavior under constrained or simplified…

机器学习 · 计算机科学 2022-06-15 Mehdi Azabou , Michael Mendelson , Maks Sorokin , Shantanu Thakoor , Nauman Ahad , Carolina Urzay , Eva L. Dyer

To celebrate Hans Frauenfelder's achievements, we examine energy(-like) "landscapes" for complex living systems. Energy landscapes summarize all possible dynamics of some physical systems. Energy(-like) landscapes can explain some…

定量方法 · 定量生物学 2021-10-18 Lars Koopmans , Hyun Youk

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

分子网络 · 定量生物学 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley

Achieving human-level dexterity in contact-rich, tool-mediated manipulation remains a significant challenge due to visual occlusion and the underdetermined nature of haptic sensing. This paper introduces a parameterized Equilibrium Manifold…

机器人学 · 计算机科学 2026-03-12 Lin Yang , Anirvan Dutta , Yuan Ji , Yanxin Zhou , Shilin Shan , Lv Chen , Etienne Burdet , Domenico Campolo

Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

定量方法 · 定量生物学 2024-07-12 Vincent D. Zaballa , Elliot E. Hui