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Deducing the structure of neural circuits is one of the central problems of modern neuroscience. Recently-introduced calcium fluorescent imaging methods permit experimentalists to observe network activity in large populations of neurons,…

Applications · Statistics 2011-07-22 Yuriy Mishchencko , Joshua T. Vogelstein , Liam Paninski

The pedunculopontine nucleus (PPN) is a heterogeneous brainstem locomotor hub implicated in Parkinson's disease and potentially relevant for its treatment. We propose single-compartment, conductance-based models for three classes of PPN…

Dynamical Systems · Mathematics 2026-03-13 Anna Kishida Thomas , Jonathan E. Rubin

The motion involved in barrier crossing for protein folding are investigated in terms of the chain dynamics of the polymer backbone, completing the microscopic description of protein folding presented in the previous paper. Local reaction…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes

Calcium imaging is a critical tool for measuring the activity of large neural populations. Much effort has been devoted to developing "pre-processing" tools for calcium video data, addressing the important issues of e.g., motion correction,…

Neurons and Cognition · Quantitative Biology 2020-06-09 Xue-Xin Wei , Ding Zhou , Andres Grosmark , Zaki Ajabi , Fraser Sparks , Pengcheng Zhou , Mark Brandon , Attila Losonczy , Liam Paninski

A major challenge in biology is to understand how molecular processes determine phenotypic features. We address this fundamental problem in a class of model systems by developing a general mathematical framework that allows the calculation…

Molecular Networks · Quantitative Biology 2014-02-25 Nils Christian , Alexander Skupin , Silvia Morante , Karl Jansen , Giancarlo Rossi , Oliver Ebenhöh

Neurons in cortical circuits exhibit coordinated spiking activity, and can produce correlated synchronous spikes during behavior and cognition. We recently developed a method for estimating the dynamics of correlated ensemble activity by…

Neurons and Cognition · Quantitative Biology 2013-12-17 Hideaki Shimazaki

The ATP-driven Plasma Membrane Calcium pump or Ca(2+)-ATPase (PMCA) is characterized by a high affinity to calcium and a low transport rate compared to other transmembrane calcium transport proteins. It plays a crucial role for calcium…

Biological Physics · Physics 2014-11-18 Michael Graupner , Frido Erler , Michael Meyer-Hermann

On the basis of experimental data and mathematical equations in the literature, we remodel the ionic dynamics of smooth muscle cells (SMCs) as an eigensystem formulation, which is valid for investigating finite variations of variables from…

Temporally and spatially resolved measurements of protein transport inside cells provide important clues to the functional architecture and dynamics of biological systems. Fluorescence Recovery After Photobleaching (FRAP) technique has been…

Subcellular Processes · Quantitative Biology 2009-03-04 George D. Tsibidis

Two elements of neural information processing have primarily been proposed: firing rate and spike timing of neurons. In the case of synaptic plasticity, although spike-timing-dependent plasticity (STDP) depending on presynaptic and…

Neurons and Cognition · Quantitative Biology 2020-01-14 Katsuhiko Hata , Osamu Araki , Osamu Yokoi , Tatsumi Kusakabe , Yoshio Yamamoto , Susumu Ito , Tetsuro Nikuni

Calcium (Ca) plays an important role in regulating various cellular processes. In a variety of cell types, Ca signaling occurs within microdomains where channels deliver localized pulses of Ca which activate a nearby collection of…

Subcellular Processes · Quantitative Biology 2009-11-13 Robert Rovetti , Kunal K. Das , Alan Garfinkel , Yohannes Shiferaw

Calcium imaging data promises to transform the field of neuroscience by making it possible to record from large populations of neurons simultaneously. However, determining the exact moment in time at which a neuron spikes, from a calcium…

Methodology · Statistics 2018-02-22 Sean Jewell , Toby Dylan Hocking , Paul Fearnhead , Daniela Witten

Optogenetics is a new tool to study neuronal circuits that have been genetically modified to allow stimulation by flashes of light. We study recordings from single neurons within neural circuits under optogenetic stimulation. The data from…

Methodology · Statistics 2016-12-23 Xi Luo , Steven Gee , Vikaas S. Sohal , Dylan S. Small

Neural variability plays a central role in neural coding and neuronal network dynamics. Unreliability of synaptic transmission is a major source of neural variability: synaptic neurotransmitter vesicles are released probabilistically in…

Neurons and Cognition · Quantitative Biology 2012-10-29 Steven Reich , Robert Rosenbaum

In the brain, both neurons and glial cells work in conjunction with each other during information processing. Stimulation of neurons can cause calcium oscillations in astrocytes which in turn can affect neuronal calcium dynamics. The…

Neurons and Cognition · Quantitative Biology 2023-08-16 Bhanu Sharma , Spandan Kumar , Subhendu Ghosh , Vikram Singh

Interest in understanding the interplay between noise and the response of a non-linear device cuts across disciplinary boundaries. It is as relevant for unmasking the dynamics of neurons in noisy environments as it is for designing reliable…

Biological Physics · Physics 2011-05-16 Cameron Sobie , Arif Babul , Rogerio de Sousa

Primary neuronal cultures have been widely used to study neuronal morphology, neurophysiology, neurodegenerative processes, and molecular mechanism of synaptic plasticity underlying learning and memory. Yet, the unique behavioral properties…

Image and Video Processing · Electrical Eng. & Systems 2020-08-04 Mikhail E. Kandel , Eunjae Kim , Young Jae Lee , Gregory Tracy , Hee Jung Chung , Gabriel Popescu

The accumulation of potassium in the extracellular space surrounding nerve cells is a fundamental aspect of biophysics that has garnered significant attention in recent research. This phenomenon holds implications for various neurological…

Biological Physics · Physics 2024-10-16 Shanfeng Xiao , Huaxiong Huang , Robert Eisenberg , Zilong Song , Shixin Xu

Mechanistic models of single-neuron dynamics have been extensively studied in computational neuroscience. However, identifying which models can quantitatively reproduce empirically measured data has been challenging. We propose to overcome…

Analytical expressions are put forward to investigate the forced spiking activity of abstract neuron models such as the driven leaky integrate-and-fire (LIF) model. The method is valid in a wide parameter regime beyond the restraining…

Neurons and Cognition · Quantitative Biology 2007-05-23 Michael Schindler , Peter Talkner , Peter Hänggi