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Behaviour change lies at the heart of many observable collective phenomena such as the transmission and control of infectious diseases, adoption of public health policies, and migration of animals to new habitats. Representing the process…

Quantitative Methods · Quantitative Biology 2025-09-03 Roben Delos Reyes , Hugo Lyons Keenan , Cameron Zachreson

The quest to comprehend the origins of intelligence raises intriguing questions about the evolution of learning abilities in natural systems. Why do living organisms possess an inherent drive to acquire knowledge of the unknown? Is this…

Neurons and Cognition · Quantitative Biology 2023-10-05 Alex Ushveridze

This note studies feedforward circuits as models for perfect adaptation to step signals in biological systems. A global convergence theorem is proved in a general framework, which includes examples from the literature as particular cases. A…

Quantitative Methods · Quantitative Biology 2009-06-07 Eduardo D. Sontag

Memristor, one of the fundamental circuit elements, has promising applications in non-volatile memory and storage technology as it can theoretically achieve infinite states. Information can be stored independently in these states and…

Emerging Technologies · Computer Science 2019-05-14 Santosh Parajuli , Ram Kaji Budhathoki , Hyongsuk Kim

Memristive devices are a class of circuit elements that shows great promise as future building block for brain-inspired computing. One influential view in theoretical neuroscience sees the brain as a function-computing device: given input…

Emerging Technologies · Computer Science 2022-04-13 Thomas F. Tiotto , Jelmer P. Borst , Niels A. Taatgen

Acting as artificial synapses, two-terminal memristive devices are considered fundamental building blocks for the realization of artificial neural networks. Organized into large arrays with a top-down approach, memristive devices in…

Living organisms are molecular systems with self-sustained dynamics via energy conversion through molecular cooperation, resulting in highly complex macroscopic behaviors. Construction of such autonomous macroscopic dynamics at a molecular…

Memory circuit elements, namely memristive, memcapacitive and meminductive systems, are gaining considerable attention due to their ubiquity and use in diverse areas of science and technology. Their modeling within the most widely used…

Computational Physics · Physics 2016-06-24 D. Biolek , M. Di Ventra , Y. V. Pershin

Most of mathematic forgetting curve models fit well with the forgetting data under the learning condition of one time rather than repeated. In the paper, a convolution model of forgetting curve is proposed to simulate the memory process…

Neurons and Cognition · Quantitative Biology 2019-01-25 Yanlu Xie , Yue Chen , Man Li

Memristor (resistor with memory), inductor with memory (meminductor) and capacitor with memory (memcapacitor) have different roles to play in novel computing architectures. We found that a coil with a magnetic core is an inductor with…

Emerging Technologies · Computer Science 2025-12-15 Frank Zhigang Wang

It has been proposed that cultural evolution was made possible by a cognitive transition brought about by onset of the capacity for self-triggered recall and rehearsal. Here we develop a novel idea that models of collectively autocatalytic…

Neurons and Cognition · Quantitative Biology 2017-08-09 Liane Gabora , Mike Steel

A ubiquitous phenomenon observed throughout the primate hierarchical visual system is the sparsification of the neural representation of visual stimuli as a result of familiarization by repeated exposure, manifested as the sharpening of the…

Neurons and Cognition · Quantitative Biology 2024-08-21 Weifan Wang , Xueyan Niu , Tai-Sing Lee

While computational capacity limits of the universe and carbon-based life have been estimated, a stricter bound for aneural organisms has not been established. Physarum polycephalum, a unicellular, multinucleated amoeba, is capable of…

Quantum Physics · Physics 2025-10-24 Suyash Bajpai , Aviva Lucas-DeMott , Nirosha J Murugan , Michael Levin , Philip Kurian

Memristors have uses as artificial synapses and perform well in this role in simulations with artificial spiking neurons. Our experiments show that memristor networks natively spike and can exhibit emergent oscillations and bursting spikes.…

Materials Science · Physics 2014-03-11 Ella Gale , Ben de Lacy Costello , Andrew Adamatzky

The development of neuromorphic systems based on memristive elements - resistors with memory - requires a fundamental understanding of their collective dynamics when organized in networks. Here, we study an experimentally inspired model of…

Statistical Mechanics · Physics 2017-01-18 Forrest C. Sheldon , Massimiliano Di Ventra

Memristors are nonlinear two-terminal circuit elements whose resistance at a given time depends on past electrical stimuli. Recently, networks of memristors have received attention in neuromorphic computing since they can be used to…

Optimization and Control · Mathematics 2025-07-22 H. M. Heidema , H. J. van Waarde , B. Besselink

In model-based learning, an agent's model is commonly defined over transitions between consecutive states of an environment even though planning often requires reasoning over multi-step timescales, with intermediate states either…

Machine Learning · Computer Science 2020-10-06 Alexey Zakharov , Matthew Crosby , Zafeirios Fountas

The memristor, the recently discovered fundamental circuit element, is of great interest for neuromorphic computing, nonlinear electronics and computer memory. It is usually modelled either using Chua's equations, which lack material device…

Materials Science · Physics 2014-04-23 Ella Gale

We discuss the physical properties of realistic memristive, memcapacitive and meminductive systems. In particular, by employing the well-known theory of response functions and microscopic derivations, we show that resistors, capacitors and…

Mesoscale and Nanoscale Physics · Physics 2013-07-04 M. Di Ventra , Y. V. Pershin

Our main purpose is to compare classical nonself-centered, two-signal theoretical models of the adaptive immune system with a novel, self-centered, one-signal model developed by our research group. Our model hypothesizes that the immune…

Molecular Networks · Quantitative Biology 2020-12-02 Tamás Szabados , Csaba Kerepesi , Tibor Bakács
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