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What do societies, the Internet, and the human brain have in common? They are all examples of complex relational systems, whose emerging behaviours are largely determined by the non-trivial networks of interactions among their constituents,…

Physics and Society · Physics 2017-04-18 Federico Battiston , Vincenzo Nicosia , Vito Latora

Metamaterials are artificial materials designed to exhibit effective material parameters that go beyond those found in nature. Composed of unit cells with rich designability that are assembled into multiscale systems, they hold great…

Computational Engineering, Finance, and Science · Computer Science 2023-12-07 Doksoo Lee , Wei Wayne Chen , Liwei Wang , Yu-Chin Chan , Wei Chen

Many of the most important processes in cells take place on and across membranes. With the rise of an impressive array of powerful quantitative methods for characterizing these membranes, it is an opportune time to reflect on the structure…

Biomolecules · Quantitative Biology 2017-03-08 Rob Phillips

Complex systems are characterized by multiple spatial and temporal scales. A natural framework to capture their multiscale nature is that of multilayer networks, where different layers represent distinct physical processes that often…

Statistical Mechanics · Physics 2024-04-29 Giorgio Nicoletti , Daniel Maria Busiello

A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: It requires an accurate map of the network that governs the interactions between the…

Systems and Control · Computer Science 2016-09-21 Yang-Yu Liu , Albert-Laszló Barabási

The study of Complex Systems is considered by many to be a new scientific field, and is distinguished by being a discipline that has applications within many separate areas of scientific study. The study of Neural Networks, Traffic…

Networking and Internet Architecture · Computer Science 2007-05-23 Jeffrey B. Smith

Polymer materials have the characteristic feature that they are multiscale systems by definition. Already the description of a single molecules involves a multitude of different scales, and cooperative processes in polymer assemblies are…

Chemical Physics · Physics 2022-12-20 Friederike Schmid

The goal of this paper is to show why the framework of communication complexity seems suitable for the study of cellular automata. Researchers have tackled different algorithmic problems ranging from the complexity of predicting to the…

Computational Complexity · Computer Science 2009-06-22 Eric Goles , Pierre-Etienne Meunier , Ivan Rapaport , Guillaume Theyssier

Multi-scale structures are prevalent in both natural and artificial systems, as they can handle increasing complexity. Several terms are employed almost interchangeably across various application domains to refer to the multi-scale concept…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Ada Diaconescu , Louisa Jane Di Felice , Patricia Mellodge

A complex system is a system composed of many interacting parts, often called agents, which displays collective behavior that does not follow trivially from the behaviors of the individual parts. Examples include condensed matter systems,…

Statistical Mechanics · Physics 2011-12-08 M. E. J. Newman

Living systems, from single cells to higher vertebrates, receive a continuous stream of non-stationary inputs that they sense, e.g., via cell surface receptors or sensory organs. Integrating these time-varying, multi-sensory, and often…

Other Quantitative Biology · Quantitative Biology 2024-04-17 Daniel Koch , Akhilesh Nandan , Gayathri Ramesan , Aneta Koseska

The development of complex multicellular organisms from a single parent cell is a highly orchestrated process that cells conduct collectively without central guidance, creating intricate dynamic patterns essential for development and…

Soft Condensed Matter · Physics 2025-05-29 Siavash Monfared , Aleksandra Ardaševa , Amin Doostmohammadi

Whole-cell computational models aim to predict cellular phenotypes from genotype by representing the entire genome, the structure and concentration of each molecular species, each molecular interaction, and the extracellular environment.…

Quantitative Methods · Quantitative Biology 2019-09-05 Arthur P. Goldberg , Balázs Szigeti , Yin Hoon Chew , John A. P. Sekar , Yosef D. Roth , Jonathan R. Karr

Experience in the physical sciences suggests that the only realistic means of understanding complex systems is through the use of mathematical models. Typically, this has come to mean the identification of quantitative models expressed as…

Artificial Intelligence · Computer Science 2011-11-02 George M. Coghill , Ross D. King , Ashwin Srinivasan

The processes taking place inside the living cell are now understood to the point where predictive computational models can be used to gain detailed understanding of important biological phenomena. A key challenge is to extrapolate this…

Tissues and Organs · Quantitative Biology 2018-10-26 Stefan Engblom Daniel B. Wilson , Ruth E. Baker

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…

Biological Physics · Physics 2026-03-19 Kunihiko Kaneko

According to the universally accepted concept of the development of life on the Earth, multicellular organisms initially emerged as a result of either the union of identical unicellular organisms with the following functional…

Biological Physics · Physics 2007-05-23 A. A. Kozlov

Nowadays, multiscale modelling is recognized as the most suitable way to study biological processes. Indeed, almost every phenomenon in nature exhibits a multiscale behaviour, i.e., it is the outcome of interactions that occur at different…

Formal Languages and Automata Theory · Computer Science 2011-08-18 Federico Buti , Massimo Callisto De Donato , Flavio Corradini , Emanuela Merelli , Luca Tesei

In the study of the basic properties observed in the immune system and, in a broader view, in biological systems, several concepts have already been mathematically formulated or treated in an analytical perspective, such as degeneracy,…

Other Quantitative Biology · Quantitative Biology 2008-01-16 Paolo Tieri , Gastone C. Castellani , Claudio Franceschi

Understanding and modelling the complexity of the immune system is a challenge that is shared by the ImmunoComplexiT$^1$ thematic network from the RNSC. The immune system is a complex biological, adaptive, highly diversified, self-organized…

Quantitative Methods · Quantitative Biology 2020-08-27 Véronique Thomas-Vaslin