Browsing Mathematical, Computational and Experimental Neuroscience by Title
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Anticipation via canards in excitable systems
(20190114)Neurons can anticipate incoming signals by exploiting a physiological mechanism that is not well understood. This article offers a novel explanation on how a receiver neuron can predict the sender’s dynamics in a ... 
Application of Quantum Natural Language Processing for Language Translation
(20210101)In this paper, we develop compositional vectorbased semantics of positive transitive sentences using quantum natural language processing (QNLP) to compare the parametrized quantum circuits of two synonymous simple sentences ... 
Are BrainComputer Interfaces Feasible withIntegrated Photonic Chips?
(202111)The present paper examines the viability of a radically novel idea for braincomputer interface (BCI), which could lead to novel technological, experimental and clinical applications. BCIs are computerbased systems that ... 
Classification of bursting patterns: A tale of two ducks
(20220120)Bursting is one of the fundamental rhythms that excitable cells can generate either in response to incoming stimuli or intrinsically. It has been a topic of intense research in computational biology for several decades. ... 
Computing Higher Leray–Serre Spectral Sequences of Towers of Fibrations
(20201027)The higher Leray–Serre spectral sequence associated with a tower of fibrations represents a generalization of the classical Leray–Serre spectral sequence of a fibration. In this work, we present algorithms to compute higher ... 
Computing Multipersistence by Means of Spectral Systems
(20190708)In their original setting, both spectral sequences and persistent homology are algebraic topology tools defined from filtrations of objects (e.g. topological spaces or simplicial complexes) indexed over the set Z of integer ... 
ConductanceBased Refractory Density Approach for a Population of Bursting Neurons
(2019)The conductancebased refractory density (CBRD) approach is a parsimonious mathematicalcomputational framework for modeling interact ing populations of regular spiking neurons, which, however, has not been yet extended ... 
GrigorchukGuptaSidki groups as a source for Beauvile surfaces
(20200414)If $G$ is a GrigorchukGuptaSidki group defined over a $p$adic tree, where p is an odd prime, we study the existence of Beauville surfaces associated to the quotients of $G$ by its level stabilizers $st_G(n)$. We prove ... 
Hyperactivation of monocytes and macrophages in MCI patients contributes to the progression of Alzheimer's disease
(20211201)Background: Alzheimer’s disease (AD) is the most common neurodegenerative disease ultimately manifesting as clinical dementia. Despite considerable effort and ample experimental data, the role of neuroinflammation related ... 
Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh–Nagumo Model
(20200907)Specific kinds of physical and biological systems exhibit complex MixedMode Oscillations mediated by foldedsingularity canards in the context of slowfast models. The present manuscript revisits these systems, specifically ... 
Metastable resting state brain dynamics
(20190906)Metastability refers to the fact that the state of a dynamical system spends a large amount of time in a restricted region of its available phase space before a transition takes place, bringing the system into another state ... 
Microbial production of advanced biofuels
(2021)Concerns over climate change have necessitated a rethinking of our transportation infrastructure. One possible alternative to carbonpolluting fossil fuels are biofuels produced from a renewable carbon source using engineered ... 
MultiGGS groups have the congruence subgroup property
(20181108)We generalize the result about the congruence subgroup property for GGSgroups to the family of multiGGSgroups; that is, all multiGGSgroups except the one defined by the constant vector have the congruence subgroup ... 
Neuronglial Interactions
(20200607)Although lagging behind classical computational neuroscience, theoretical and computational approaches are beginning to emerge to characterize different aspects of neuronglial interactions. This chapter aims to provide ... 
An Optimizing Method for Performance and Resource Utilization in Quantum Machine Learning Circuits
(202201)Quantum computing is a new and advanced topic that refers to calculations based on the principles of quantum mechanics. Itmakes certain kinds of problems be solved easier compared to classical computers. This advantage of ... 
ProC congruence properties for groups of rooted tree automorphisms
(20181121)We propose a generalisation of the congruence subgroup problem for groups acting on rooted trees. Instead of only comparing the profinite completion to that given by level stabilizers, we also compare pro$\mathcal{C}$ ... 
Quantum Face Recognition Protocol with Ghost Imaging
(202110)Face recognition is one of the most ubiquitous examples of pattern recognition in machine learning, with numerous applications in security, access control, and law enforcement, among many others. Pattern recognition with ... 
A roadmap to integrate astrocytes into Systems Neuroscience
(20190506)Systems Neuroscience is still mainly a neuronal field, despite the plethora of evidence supporting the fact that astrocytes modulate local neural circuits, networks, and complex behaviors. In this article, we sought to ... 
Spikeadding and resetinduced canard cycles in adaptive integrate and fire models
(20210503)We study a class of planar integrate and fire (IF) models called adaptive integrate and fire (AIF) models, which possesses an adaptation vari able on top of membrane potential, and whose subthreshold dynamics is piece ... 
Stochastic facilitation in heteroclinic communication channels
(20210901)Biological neural systems encode and transmit information as patterns of activity tracing complex trajectories in highdimensional state spaces, inspiring alternative paradigms of information processing. Heteroclinic ...