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Complex coherent dynamics is present in a wide variety of neural systems. A typical example is the voltage transitions between up and down states observed in cortical areas in the brain. In this work, we study this phenomenon via a…

神经元与认知 · 定量生物学 2015-05-19 Jorge F. Mejias , Hilbert J. Kappen , Joaquin J. Torres

Spatial and temporal pattern formation in reaction-diffusion systems is typically studied with two or more equations, as scalar reaction-diffusion equations confined to convex domains do not admit stable inhomogeneous states in time or…

斑图形成与孤子 · 物理学 2026-05-07 N. Mahashri , Andrew L. Krause , M. Chandru , Thomas E. Woolley

Genes are connected in complex networks of interactions where often the product of one gene is a transcription factor that alters the expression of another. Many of these networks are based on a few fundamental motifs leading to switches…

分子网络 · 定量生物学 2026-03-05 Zitao Yang , Rebecca J. Rousseau , Sara D. Mahdavi , Hernan G. Garcia , Rob Phillips

Patterns in reaction-diffusion systems often contain two spatial scales; a long scale determined by a typical wavelength or domain size, and a short scale pertaining to front structures separating different domains. Such patterns naturally…

patt-sol · 物理学 2009-10-22 Aric Hagberg , Ehud Meron

The response of a neural cell to an external stimulus can follow one of the two patterns: Nonresonant neurons monotonously relax to the resting state after excitation while resonant ones show subthreshold oscillations. We investigate how do…

神经元与认知 · 定量生物学 2009-11-10 T. Verechtchaguina , L. Schimansky-Geier , I. M. Sokolov

Efficient coding theory posits that sensory circuits transform natural signals into neural representations that maximize information transmission subject to resource constraints. Local interneurons are thought to play an important role in…

神经元与认知 · 定量生物学 2025-01-22 David Lipshutz , Eero P. Simoncelli

Foundation models have shown remarkable success in fitting biological visual systems; however, their black-box nature inherently limits their utility for understanding brain function. Here, we peek inside a SOTA foundation model of neural…

神经元与认知 · 定量生物学 2026-01-30 Johannes Bertram , Luciano Dyballa , Anderson Keller , Savik Kinger , Steven W. Zucker

Short-term memory is essential for cognitive processing, yet our understanding of its neural mechanisms remains unclear. Neuroscience has long focused on how sequential activity patterns, where neurons fire one after another within large…

Stability is a fundamental property of dynamical systems, yet to this date it has had little bearing on the practice of recurrent neural networks. In this work, we conduct a thorough investigation of stable recurrent models. Theoretically,…

机器学习 · 计算机科学 2019-03-05 John Miller , Moritz Hardt

From nutrient uptake, to chemoreception, to synaptic transmission, many systems in cell biology depend on molecules diffusing and binding to membrane receptors. Mathematical analysis of such systems often neglects the fact that receptors…

定量方法 · 定量生物学 2021-06-16 Gregory Handy , Sean D Lawley

Synaptic integration is a prominent aspect of neuronal information processing. The detailed mechanisms that modulate synaptic inputs determine the computational properties of any given neuron. We study a simple model for the summation of…

神经元与认知 · 定量生物学 2021-07-15 Adrian Joseph Alva , Harjinder Singh

Behavioral changes in animals and humans, as a consequence of an error or a verbal instruction, can be extremely rapid. Improvement in behavioral performances are usually associated in machine learning and reinforcement learning to synaptic…

神经元与认知 · 定量生物学 2025-03-12 Cristiano Capone , Luca Falorsi

We present a minimal motif model for transmembrane cell signaling. The model assumes signaling events taking place in spatially distributed nanoclusters regulated by a birth/death dynamics. The combination of these spatio-temporal aspects…

细胞行为 · 定量生物学 2013-04-23 M. Ángeles Serrano , Manuel Jurado , Ramon Reigada

We consider anomalous diffusion for molecular communication with a passive receiver. We first consider the probability density function of molecules' location at a given time in a space of arbitrary dimension. The expected number of…

信息论 · 计算机科学 2021-07-09 Dung Phuong Trinh , Youngmin Jeong , Sang-Hyo Kim

In Diffusive Molecular Communication (DMC), information is transmitted by diffusing molecules. Synaptic signaling, as a natural implementation of this paradigm, encompasses functional components that, once understood, can facilitate the…

亚细胞过程 · 定量生物学 2020-11-26 Sebastian Lotter , Arman Ahmadzadeh , Robert Schober

The spiking activity of principal cells in mammalian hippocampus encodes an internalized neuronal representation of the ambient space---a cognitive map. Once learned, such a map enables the animal to navigate a given environment for a long…

神经元与认知 · 定量生物学 2017-10-10 Andrey Babichev , Dmitriy Morozov , Yuri Dabaghian

In this paper we consider the two-user broadcast channel and we characterize its stable throughout region. We start the analysis by providing the stability region for the general case without any specific considerations on transmission and…

信息论 · 计算机科学 2016-04-29 Nikolaos Pappas , Marios Kountouris , Anthony Ephremides , Vangelis Angelakis

Intracellular protein patterns govern essential cellular functions by dynamically redistributing proteins between membrane-bound and cytosolic states, conserving their total numbers. This review presents a theoretical framework for…

生物物理 · 物理学 2025-12-16 Erwin Frey , Henrik Weyer

The stable throughput region of the two-user interference channel is investigated here. First, the stability region for the general case is characterized. Second, we study the cases where the receivers treat interference as noise or perform…

信息论 · 计算机科学 2016-11-15 Nikolaos Pappas , Marios Kountouris , Anthony Ephremides

Neural activity exhibits a vast range of timescales that can be several fold larger than the membrane time constant of individual neurons. Two types of mechanisms have been proposed to explain this conundrum. One possibility is that large…

神经元与认知 · 定量生物学 2019-03-26 Manuel Beiran , Srdjan Ostojic