Journal of Mathematical Neuroscience最新文献_第2页

A bio-inspired geometric model for sound reconstruction. 仿生几何模型用于声音重建。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2021-01-04 DOI: 10.1186/s13408-020-00099-4

Ugo Boscain, Dario Prandi, Ludovic Sacchelli, Giuseppina Turco

引用次数: 1

Neural field models with transmission delays and diffusion. 具有传递延迟和扩散的神经场模型。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2020-12-09 DOI: 10.1186/s13408-020-00098-5

Len Spek, Yuri A Kuznetsov, Stephan A van Gils

引用次数: 8

Stability analysis of a neural field self-organizing map. 神经场自组织映射的稳定性分析。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2020-12-01 DOI: 10.1186/s13408-020-00097-6

Georgios Detorakis, Antoine Chaillet, Nicolas P Rougier

引用次数: 2

Interactions of multiple rhythms in a biophysical network of neurons. 神经元生物物理网络中多种节律的相互作用。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2020-11-17 DOI: 10.1186/s13408-020-00096-7

Alexandros Gelastopoulos, Nancy J Kopell

{"title":"Interactions of multiple rhythms in a biophysical network of neurons.","authors":"Alexandros Gelastopoulos, Nancy J Kopell","doi":"10.1186/s13408-020-00096-7","DOIUrl":"https://doi.org/10.1186/s13408-020-00096-7","url":null,"abstract":"Neural oscillations, including rhythms in the beta1 band (12-20 Hz), are important in various cognitive functions. Often neural networks receive rhythmic input at frequencies different from their natural frequency, but very little is known about how such input affects the network's behavior. We use a simplified, yet biophysical, model of a beta1 rhythm that occurs in the parietal cortex, in order to study its response to oscillatory inputs. We demonstrate that a cell has the ability to respond at the same time to two periodic stimuli of unrelated frequencies, firing in phase with one, but with a mean firing rate equal to that of the other. We show that this is a very general phenomenon, independent of the model used. We next show numerically that the behavior of a different cell, which is modeled as a high-dimensional dynamical system, can be described in a surprisingly simple way, owing to a reset that occurs in the state space when the cell fires. The interaction of the two cells leads to novel combinations of properties for neural dynamics, such as mode-locking to an input without phase-locking to it.","PeriodicalId":54271,"journal":{"name":"Journal of Mathematical Neuroscience","volume":" ","pages":"19"},"PeriodicalIF":2.3,"publicationDate":"2020-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13408-020-00096-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38706869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Spatio-chromatic information available from different neural layers via Gaussianization. 通过高斯化从不同的神经层获得的空间色彩信息。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2020-11-11 DOI: 10.1186/s13408-020-00095-8

Jesús Malo

{"title":"Spatio-chromatic information available from different neural layers via Gaussianization.","authors":"Jesús Malo","doi":"10.1186/s13408-020-00095-8","DOIUrl":"https://doi.org/10.1186/s13408-020-00095-8","url":null,"abstract":"How much visual information about the retinal images can be extracted from the different layers of the visual pathway? This question depends on the complexity of the visual input, the set of transforms applied to this multivariate input, and the noise of the sensors in the considered layer. Separate subsystems (e.g. opponent channels, spatial filters, nonlinearities of the texture sensors) have been suggested to be organized for optimal information transmission. However, the efficiency of these different layers has not been measured when they operate together on colorimetrically calibrated natural images and using multivariate information-theoretic units over the joint spatio-chromatic array of responses.In this work, we present a statistical tool to address this question in an appropriate (multivariate) way. Specifically, we propose an empirical estimate of the information transmitted by the system based on a recent Gaussianization technique. The total correlation measured using the proposed estimator is consistent with predictions based on the analytical Jacobian of a standard spatio-chromatic model of the retina-cortex pathway. If the noise at certain representation is proportional to the dynamic range of the response, and one assumes sensors of equivalent noise level, then transmitted information shows the following trends: (1) progressively deeper representations are better in terms of the amount of captured information, (2) the transmitted information up to the cortical representation follows the probability of natural scenes over the chromatic and achromatic dimensions of the stimulus space, (3) the contribution of spatial transforms to capture visual information is substantially greater than the contribution of chromatic transforms, and (4) nonlinearities of the responses contribute substantially to the transmitted information but less than the linear transforms.","PeriodicalId":54271,"journal":{"name":"Journal of Mathematical Neuroscience","volume":" ","pages":"18"},"PeriodicalIF":2.3,"publicationDate":"2020-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13408-020-00095-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38590773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 15

A new blind color watermarking based on a psychovisual model. 一种新的基于心理视觉模型的盲彩色水印。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2020-10-23 DOI: 10.1186/s13408-020-00094-9

Pascal Lefevre, David Alleysson, Philippe Carre

引用次数: 0

Synchronization and resilience in the Kuramoto white matter network model with adaptive state-dependent delays. 具有自适应状态依赖延迟的Kuramoto白质网络模型的同步和弹性。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2020-09-16 DOI: 10.1186/s13408-020-00091-y

Seong Hyun Park, Jérémie Lefebvre

{"title":"Synchronization and resilience in the Kuramoto white matter network model with adaptive state-dependent delays.","authors":"Seong Hyun Park, Jérémie Lefebvre","doi":"10.1186/s13408-020-00091-y","DOIUrl":"https://doi.org/10.1186/s13408-020-00091-y","url":null,"abstract":"White matter pathways form a complex network of myelinated axons that regulate signal transmission in the nervous system and play a key role in behaviour and cognition. Recent evidence reveals that white matter networks are adaptive and that myelin remodels itself in an activity-dependent way, during both developmental stages and later on through behaviour and learning. As a result, axonal conduction delays continuously adjust in order to regulate the timing of neural signals propagating between different brain areas. This delay plasticity mechanism has yet to be integrated in computational neural models, where conduction delays are oftentimes constant or simply ignored. As a first approach to adaptive white matter remodeling, we modified the canonical Kuramoto model by enabling all connections with adaptive, phase-dependent delays. We analyzed the equilibria and stability of this system, and applied our results to two-oscillator and large-dimensional networks. Our joint mathematical and numerical analysis demonstrates that plastic delays act as a stabilizing mechanism promoting the network's ability to maintain synchronous activity. Our work also shows that global synchronization is more resilient to perturbations and injury towards network architecture. Our results provide key insights about the analysis and potential significance of activity-dependent myelination in large-scale brain synchrony.","PeriodicalId":54271,"journal":{"name":"Journal of Mathematical Neuroscience","volume":" ","pages":"16"},"PeriodicalIF":2.3,"publicationDate":"2020-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13408-020-00091-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38385124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4

Attractor-state itinerancy in neural circuits with synaptic depression. 突触抑制的神经回路中的吸引子状态流动。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2020-09-11 DOI: 10.1186/s13408-020-00093-w

Bolun Chen, Paul Miller

{"title":"Attractor-state itinerancy in neural circuits with synaptic depression.","authors":"Bolun Chen, Paul Miller","doi":"10.1186/s13408-020-00093-w","DOIUrl":"https://doi.org/10.1186/s13408-020-00093-w","url":null,"abstract":"Neural populations with strong excitatory recurrent connections can support bistable states in their mean firing rates. Multiple fixed points in a network of such bistable units can be used to model memory retrieval and pattern separation. The stability of fixed points may change on a slower timescale than that of the dynamics due to short-term synaptic depression, leading to transitions between quasi-stable point attractor states in a sequence that depends on the history of stimuli. To better understand these behaviors, we study a minimal model, which characterizes multiple fixed points and transitions between them in response to stimuli with diverse time- and amplitude-dependencies. The interplay between the fast dynamics of firing rate and synaptic responses and the slower timescale of synaptic depression makes the neural activity sensitive to the amplitude and duration of square-pulse stimuli in a nontrivial, history-dependent manner. Weak cross-couplings further deform the basins of attraction for different fixed points into intricate shapes. We find that while short-term synaptic depression can reduce the total number of stable fixed points in a network, it tends to strongly increase the number of fixed points visited upon repetitions of fixed stimuli. Our analysis provides a natural explanation for the system's rich responses to stimuli of different durations and amplitudes while demonstrating the encoding capability of bistable neural populations for dynamical features of incoming stimuli.","PeriodicalId":54271,"journal":{"name":"Journal of Mathematical Neuroscience","volume":" ","pages":"15"},"PeriodicalIF":2.3,"publicationDate":"2020-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13408-020-00093-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38368494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 5

Geometry of color perception. Part 2: perceived colors from real quantum states and Hering's rebit. 色彩感知的几何学。第2部分:来自真实量子态的感知颜色和Hering的rebit。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2020-09-09 DOI: 10.1186/s13408-020-00092-x

M Berthier

引用次数: 2

The geometry of rest-spike bistability. 静脉冲双稳性的几何特性。

IF 2.3 4区医学

Journal of Mathematical Neuroscience Pub Date : 2020-09-04 DOI: 10.1186/s13408-020-00090-z

Giuseppe Ilario Cirillo, Rodolphe Sepulchre

引用次数: 3