Results 191 to 200 of about 151,279 (283)

Emergence of multifrequency activity in a laminar neural mass model. [PDF]

PLoS Comput Biol
de Palma Aristides R, Clusella P, Sanchez-Todo R, Ruffini G, Garcia-Ojalvo J.   +4 more
europepmc   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus. [PDF]

Calc Var Partial Differ Equ
Carrillo JA, Salmaniw Y.
europepmc   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

A fractional-order approach to predator-prey interactions: Modeling fear and disease dynamics with memory effects. [PDF]

PLoS One
Rahmi E, Anggriani N, Panigoro HS, Peter OJ.   +3 more
europepmc   +1 more source

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source

Instability by Extension of an Elastic Nanorod. [PDF]

Nanomaterials (Basel)
Berecki A, Glavardanov V, Mihok S, Grahovac N, Zigic M.   +4 more
europepmc   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Delayed Signaling in Mitotic Checkpoints: Biological Mechanisms and Modeling Perspectives. [PDF]

Biology (Basel)
Ibrahim B.
europepmc   +1 more source

DynaTOF: Time‐Resolved Noncontrast Cerebral MR Angiography Using Spatially Modulated RF Saturation

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To develop a time‐resolved extension of three‐dimensional time‐of‐flight MR angiography, termed Dynamic TOF (DynaTOF), that exploits intrinsic RF saturation behavior to enable noncontrast visualization of cerebrovascular hemodynamics.
Naoyuki Takei, Keita Fujii, Xucheng Zhu, Yuichi Suzuki, Satoru Miyawaki, Motoyuki Umekawa, Satoshi Koizumi, Tetsuya Wakayama, Shiori Amemiya, Osamu Abe   +9 more
wiley   +1 more source