Results 51 to 60 of about 8,072 (173)

Existence and uniqueness of radial solutions for elliptic equations with nonlinear gradient terms

Boundary Value Problems
In this paper, we discuss the existence and uniqueness of radial solutions of the elliptic equation with nonlinear gradient term { − △ u = f ( | x | , u , x | x | ⋅ ∇ u ) , x ∈ Ω , u | ∂ Ω = 0 , $$ \left \{ \textstyle\begin{array}{l} -\triangle u = f\big(
Xiaoya Liu, Yongxiang Li
doaj   +1 more source

Noise-induced synchronization and anti-resonance in excitable systems; Implications for information processing in Parkinson's Disease and Deep Brain Stimulation

, 2019
We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show asynchronous ...
Ermentrout, G. Bard, Piette, Charlotte, Touboul, Jonathan D., Venance, Laurent   +3 more
core   +1 more source

Impact of European Association of Urology Combination and Platinum Eligibility on Real‐World Treatment Sequences and Survival in Japanese Patients With Metastatic Urothelial Carcinoma

International Journal of Urology, Volume 33, Issue 5, May 2026.
ABSTRACT Objectives To evaluate the prevalence of European Association of Urology‐defined combination and platinum eligibility at first‐line treatment initiation, and to assess their impact on conventional treatment sequence and overall survival in a real‐world Japanese cohort. Methods We retrospectively analyzed 148 patients with metastatic urothelial
Takashi Kawahara, Yoshiyuki Nagumo, Kozaburo Tanuma, Kazuki Hamada, Akane Yamaguchi, Satoshi Nitta, Masanobu Shiga, Atsushi Ikeda, Akio Hoshi, Shuya Kandori, Hiroyuki Nishiyama   +10 more
wiley   +1 more source

Analytical, Optimal, and Sparse Optimal Control of Traveling Wave Solutions to Reaction-Diffusion Systems

, 2016
This work deals with the position control of selected patterns in reaction-diffusion systems. Exemplarily, the Schl\"{o}gl and FitzHugh-Nagumo model are discussed using three different approaches. First, an analytical solution is proposed.
A Azhand, A Mikhailov, A Mikhailov, A Propoi, A Schrader, A Winfree, BA Malomed, E Casas, E Casas, E Casas, E Casas, E Casas, EF Camacho, F Schlögl, G Haas, G Stadler, G Wachsmuth, H Henry, I Daubechies, I Idris, IV Biktasheva, IV Biktasheva, J Löber, J Löber, J Löber, J Murray, J Nagumo, J Schlesner, J Schlesner, J Wolff, J Wolff, JF Totz, JJ Tyson, JP Keener, JX Chen, LI Rudin, M Kim, O Steinbock, PG Kevrekidis, R Buchholz, R FitzHugh, S Martens, T Sakurai, VS Zykov, VS Zykov, VS Zykov, W Barthel, Y Kuramoto, Y Zeldovich   +48 more
core   +1 more source

A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grossinho, Maria do Rosário, Minhós, F., Santos, A.I.   +2 more
openaire   +3 more sources

An update on pacemaking in the myometrium

The Journal of Physiology, Volume 604, Issue 9, Page 3661-3671, 1 May 2026.
Abstract figure legend The spread of multiple electrical signals (panel A, blue‐to‐red indicates increasing electrical excitability) that are spatiotemporally distinct, yet in‐phase with the excitatory episode, determines action potential shape and form (panel B, as recorded by single cell microelectrodes) and ensures contractile amplitude and duration
Susan Wray, Michael J. Taggart
wiley   +1 more source

Existence of periodic solutions of the FitzHugh-Nagumo equations for an explicit range of the small parameter

, 2016
The FitzHugh-Nagumo model describing propagation of nerve impulses in axon is given by fast-slow reaction-diffusion equations, with dependence on a parameter $\epsilon$ representing the ratio of time scales.
Czechowski, Aleksander, Zgliczyński, Piotr   +1 more
core   +1 more source

Are physiological oscillations physiological?

The Journal of Physiology, Volume 604, Issue 9, Page 3672-3693, 1 May 2026.
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source

Chaotic oscillations in singularly perturbed FitzHugh-Nagumo systems

, 2013
We consider the singularly perturbed limit of periodically excited two-dimensional FitzHugh-Nagumo systems. We show that the dynamics of such systems are essentially governed by an one-dimensional map and present a numerical scheme to accurately compute ...
Barbosa, Peterson T. C., Saa, Alberto
core   +1 more source

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

Advanced Intelligent Systems, Volume 8, Issue 3, March 2026.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari, Teresa Serrano‐Gotarredona, Bernabé Linares‐Barranco   +2 more
wiley   +1 more source