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Zespół Katedry Równań Różniczkowych i Zastosowań Matematyki
Research Potential* topologiczne niezmienniki w teorii układów dynamicznych i ich zastosowania * teoria punktów stałych i periodycznych * metody matematyczne w kardiologii * miary złożoności i ich zastosowania * modele strukturalne z dyfuzją i warunkami brzegowymi Fellera * modelowanie ekspresji genu białka Hes1 * równania McKendrick-von Foerster z warunkiem odnowy * modelowanie termicznej ablacji za pomocą równania bio-przewodnictwa ciepła * soczewkowanie...
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Zespół Katedry Wytrzymałości Materiałów
Research PotentialKatedra zajmuje się zagadnieniami związanymi z wytrzymałością elementów konstrukcji, ich teorią oraz analizą, jak również do myśli przewodnich należy zaliczyć materiałowe badania doświadczalne oraz prace nad technologią betonu. Współpracujemy z przemysłem z branż budowlanych i okołobudowlanych, wykorzystując wypracowane doświadczenie i wiedzę z zakresu materiałów konstrukcyjnych i budowlanych.
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Search results for: NEURONAL DYNAMICS
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Brain and Mind Electrophysiology lab
Business OfferNeurofizjologia pamięci i funkcji poznawczych mózgu
Other results Pokaż wszystkie wyniki (22)
Search results for: NEURONAL DYNAMICS
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Periodic and chaotic dynamics in a map‐based neuron model
PublicationMap-based neuron models are an important tool in modeling neural dynamics and sometimes can be considered as an alternative to usually computationally costlier models based on continuous or hybrid dynamical systems. However, due to their discrete nature, rigorous mathematical analysis might be challenging. We study a discrete model of neuronal dynamics introduced by Chialvo in 1995. In particular, we show that its reduced one-dimensional...
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Evidence for consolidation of neuronal assemblies after seizures in humans
PublicationThe establishment of memories involves reactivation of waking neuronal activity patterns and strengthening of associated neural circuits during slow-wave sleep (SWS), a process known as "cellular consolidation" (Dudai and Morris, 2013). Reactivation of neural activity patterns during waking behaviors that occurs on a timescale of seconds to minutes is thought to constitute memory recall (O'Keefe and Nadel, 1978), whereas consolidation...
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Combined Single Neuron Unit Activity and Local Field Potential Oscillations in a Human Visual Recognition Memory Task
PublicationGOAL: Activities of neuronal networks range from action potential firing of individual neurons, coordinated oscillations of local neuronal assemblies, and distributed neural populations. Here, we describe recordings using hybrid electrodes, containing both micro- and clinical macroelectrodes, to simultaneously sample both large-scale network oscillations and single neuron spiking activity in the medial temporal lobe structures...
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Spike patterns and chaos in a map-based neuron model
PublicationThe work studies the well-known map-based model of neuronal dynamics introduced in 2007 by Courbage, Nekorkin and Vdovin, important due to various medical applications. We also review and extend some of the existing results concerning β-transformations and (expanding) Lorenz mappings. Then we apply them for deducing important properties of spike-trains generated by the CNV model and explain their implications for neuron behaviour....
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Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations
PublicationThis work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission. We show that these models can generically display a form of mixed-mode oscillations (MMOs), which are trajectories featuring an alternation of small oscillations with spikes or bursts (multiple consecutive spikes). The mechanism by...