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We present a mathematical analysis of a reaction-diffusion model describing acid-mediated tumor invasion. The model describes the spatial distribution and temporal evolution of tumor cells, normal cells, and excess lactic acid…

偏微分方程分析 · 数学 2019-02-08 Anderson L. A. de Araujo , Artur C. Fassoni , Luís F. Salvino

Predicting and enhancing inherent properties based on molecular structures is paramount to design tasks in medicine, materials science, and environmental management. Most of the current machine learning and deep learning approaches have…

机器学习 · 计算机科学 2024-04-08 Zachary R. Fox , Ayana Ghosh

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

Fast and accurate structural dynamics analysis is important for structural design and damage assessment. Structural dynamics analysis leveraging machine learning techniques has become a popular research focus in recent years. Although the…

地球物理 · 物理学 2020-12-29 Yuan Feng , Hexiang Wang , Han Yang , Fangbo Wang

Despite their potential to address crucial bottlenecks in computing architectures and contribute to the pool of biological inspiration for engineering, pathological biological mechanisms remain absent from computational theory. We hereby…

神经与进化计算 · 计算机科学 2025-03-18 Rosalia Moreddu , Michael Levin

We describe, at the microscopic level, the dynamics of N interacting components where the probability is very small when N is large that a given component interact more than once, directly or indirectly, up to time t, with any other…

计算金融 · 定量金融 2012-02-24 Alain Bélanger , Gaston Giroux

Environmental variation can play an important role in ecological competition by influencing the relative advantage between competing species. Here, we consider such effects by extending a classical, competitive Moran model to incorporate an…

种群与进化 · 定量生物学 2019-09-18 Ryan Murray , Glenn Young

Ecosystems display a complex spatial organization. Ecologists have long tried to characterize them by looking at how different measures of biodiversity change across spatial scales. Ecological neutral theory has provided simple predictions…

种群与进化 · 定量生物学 2017-12-13 Simone Pigolotti , Massimo Cencini , Daniel Molina , Miguel A. Muñoz

Recent works have stressed the important role that random mutations have in the development of cancer phenotype. We challenge this current view by means of bioinformatic data analysis and computational modelling approaches. Not all the…

细胞行为 · 定量生物学 2017-06-28 Gianluca Ascolani , Pietro Lió

In todays age of data, discovering relationships between different variables is an interesting and a challenging problem. This problem becomes even more critical with regards to complex dynamical systems like weather forecasting and…

数据分析、统计与概率 · 物理学 2021-02-01 Sachin Kasture

Dynamical and thermal characterizations of excited nuclear systems produced during the collisions between two heavy ions at intermediate incident energies are presented by means of a review of experimental and theoretical work performed in…

核实验 · 物理学 2009-11-11 G. Verde , A. Chbihi , R. Ghetti , J. Helgesson

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

Dynamical systems across the sciences, from electrical circuits to ecological networks, undergo qualitative and often catastrophic changes in behavior, called bifurcations, when their underlying parameters cross a threshold. Existing…

机器学习 · 计算机科学 2024-03-22 Noa Moriel , Matthew Ricci , Mor Nitzan

The information implicitly represented in the state of physical systems allows one to analyze them with analytical techniques from statistical mechanics and information theory. In the case of complex networks such techniques are inspired by…

物理与社会 · 物理学 2023-08-09 Wout Merbis , Manlio de Domenico

The dynamics of biological polymers, including proteins, RNA, and DNA, occur in very high-dimensional spaces. Many naturally-occurring polymers can navigate a vast phase space and rapidly find their lowest free energy (folded) state. Thus,…

Studies of the relationships between environmental exposures and adverse health outcomes often rely on a two-stage statistical modeling approach, where exposure is modeled/predicted in the first stage and used as input to a separately fit…

统计方法学 · 统计学 2022-04-01 Saskia Comess , Howard H. Chang , Joshua L. Warren

We propose a system of differential equations modeling the competition between two obligate mutualistic species for a single nutrient in a chemostat. Each species promotes the growth of the other, and growth occurs only in the presence of…

动力系统 · 数学 2026-03-12 Tahani Mtar , Radhouane Fekih-Salem

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…

材料科学 · 物理学 2024-06-11 Rosie Wood , Ondrej Masek , Valentina Erastova

The growth of many solid tumors has been found to be driven by chemo- and radiotherapy-resistant cancer stem cells (CSCs). A suitable therapeutic avenue in these cases may involve the use of a differentiating agent (DA) to force the…

组织与器官 · 定量生物学 2023-03-09 Jerónimo Fotinós , Lucas Barberis , Carlos A. Condat

Our research is concerned with studying behavioural changes within a dynamic system, i.e. health care, and their effects on the decision-making process. Evolutionary Game theory is applied to investigate the most probable strategy(ies)…

计算机科学与博弈论 · 计算机科学 2019-09-10 Zainab Alalawi , Yifeng Zeng , The Anh Han , Aiman Elragig
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