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Bioelectrical properties of cells such as relative permittivity, conductivity, and characteristic time constants vary significantly between healthy and malignant cells across different frequencies. These distinctions provide a promising…

Signal Processing · Electrical Eng. & Systems 2026-03-16 Shadeeb Hossain

We investigate the stimulus-dependent tuning properties of a noisy ionic conductance model for intrinsic subthreshold oscillations in membrane potential and associated spike generation. On depolarization by an applied current, the model…

Neurons and Cognition · Quantitative Biology 2009-11-11 Martin Tobias Huber And Hans Albert Braun

For the hopping dynamics in a one-dimensional model, containing energy and barrier disorder, we determine the linear and nonlinear response to an external field for arbitrary external frequencies. The calculation is performed in analytical…

Disordered Systems and Neural Networks · Physics 2013-02-15 Clara Mattner , Bernhard Roling , Andreas Heuer

We analyzed pattern formation and identified different phases in a system of particles interacting through a non-monotonic short-range repulsive (r<r_c) and long-range attractive (r>r_c) potential, using molecular-dynamics simulations.…

Soft Condensed Matter · Physics 2011-07-05 H. J. Zhao , V. R. Misko , F. M. Peeters

Extensive studies have investigated the transition mechanism of boundary layers initiated by a single primary instability. In a real-world scenario, however, multiple primary instabilities of different physical nature would coexist and…

Fluid Dynamics · Physics 2026-03-18 Xiao-Bai Li , Yifeng Chen , Chihyung Wen , Peixu Guo

Phononic integrated circuits, which manipulate GHz-frequency acoustic fields in {\mu}m-scale waveguides, provide new degrees of freedom for routing and manipulation of microwaves in deeply sub-wavelength geometries with associated…

Applied Physics · Physics 2025-08-14 A. Fahad Malik , Mahmut Bicer , Krishna C. Balram

A fluctuation theory is presented for the nonequilibrium second order phase transition in a quasi-two-dimensional electron gas. A transverse (with respect to the current through the sample) spontaneous electric field as an order parameter…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. M. Shmelev , E. M. Epshtein , A. S. Matveev

Electrophysiological brain signals, such as electroencephalography (EEG), exhibit both periodic and aperiodic components, with the latter often modeled as 1/f noise and considered critical to cognitive and neurological processes. Although…

Neurons and Cognition · Quantitative Biology 2025-05-27 Yuhao Sun , Zhiyuan Ma , Xinke Shen , Jinhao Li , Guan Wang , Sen Song

This article develops a fundamental insight into the behavior of neuronal membranes, focusing on their responses to stimuli measured with power spectra in the frequency domain. It explores the use of linear and nonlinear (quadratic…

Neurons and Cognition · Quantitative Biology 2023-12-04 Christophe Magnani , Lee E. Moore

Understanding the time evolution of physical systems is crucial to revealing fundamental characteristics that are hidden in frequency domain. In optical science, high-quality resonance cavities and enhanced interactions with matters are at…

Optics · Physics 2021-09-22 Yingheng Tang , Jichao Fan , Xinwei Li , Jianzhu Ma , Minghao Qi , Cunxi Yu , Weilu Gao

Oscillatory phase pattern formation and amplitude control for a linearized stochastic neuron field model was investigated by simulating coupled stochastic processes defined by stochastic differential equations. It was found, for several…

Neurons and Cognition · Quantitative Biology 2021-03-24 Conor L. Morrison , Priscilla E. Greenwood , Lawrence M. Ward

Mean field models (MFMs) of cortical tissue incorporate salient features of neural masses to model activity at the population level. One of the common aspects of MFM descriptions is the presence of a high dimensional parameter space…

Dynamical Systems · Mathematics 2015-05-19 Federico Frascoli , Lennaert van Veen , Ingo Bojak , David T J Liley

We present a formalism for modelling parametric amplification by resonators subject to rate-limited nonlinearity of mixed reactive/dissipative character, with particular relevance to superconducting devices. The non-linearity is assumed to…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 Christopher N. Thomas , Stafford Withington , Songyuan Zhao

When modeling longitudinal biomedical data, often dimensionality reduction as well as dynamic modeling in the resulting latent representation is needed. This can be achieved by artificial neural networks for dimension reduction, and…

Machine Learning · Statistics 2023-12-01 Göran Köber , Raffael Kalisch , Lara Puhlmann , Andrea Chmitorz , Anita Schick , Harald Binder

Resonances leave prominent signatures in atomic and molecular ionization triggered by the absorption of single or multiple photons. These signatures reveal various aspects of the ionization process, characterizing both the initial and final…

Atomic Physics · Physics 2026-03-03 Anatoli S. Kheifets

We study the influence of the linear and nonlinear coupling processes on the correlation properties of a system composed of two bosonic modes. The coupling processes are treated as Gaussian while the modes are assumed to experience damping…

Quantum Physics · Physics 2025-06-23 Jakub Bembenek , Zbigniew Ficek

Neuronal excitability is the phenomena that describes action potential generation due to a stimulus input. Commonly, neuronal excitability is divided into two classes: Type I and Type II, both having different properties that affect…

Neurons and Cognition · Quantitative Biology 2020-11-03 Jantine A. C. Broek , Guillaume Drion

We analyze the linear stability of monoclinal traveling waves on a constant incline, which connect uniform flowing regions of differing depths. The classical shallow-water equations are employed, subject to a general resistive drag term.…

Fluid Dynamics · Physics 2022-05-18 Jake Langham , Andrew J. Hogg

Autoencoders and generative neural network models have recently gained popularity in fluid mechanics due to their spontaneity and low processing time instead of high fidelity CFD simulations. Auto encoders are used as model order reduction…

Fluid Dynamics · Physics 2022-03-04 Kanishk , Tanishk Nandal , Prince Tyagi , Raj Kumar Singh

We exploit a simple one-dimensional trapping model introduced before, prompted by the problem of ion current across a biological membrane. The voltage-sensitive channels are open or closed depending on the value taken by an external…

Statistical Mechanics · Physics 2009-11-07 J. A. Revelli , A. D. Sanchez , H. S. Wio