Results 31 to 40 of about 334,844 (263)

Existence of Solutions to Reaction Cross Diffusion Systems

SIAM Journal on Mathematical Analysis, 2023
Reaction cross diffusion systems are a two species generalization of the porous media equation. These systems play an important role in the mechanical modeling of living tissues and tumor growth. Due to their mixed parabolic-hyperbolic structure, even proving the existence of solutions to these equations is challenging.
openaire   +2 more sources

Envelope Quasisolitons in Dissipative Systems with Cross-Diffusion [PDF]

Physical Review Letters, 2011
We consider two-component nonlinear dissipative spatially extended systems of reaction-cross-diffusion type. Previously, such systems were shown to support "quasi-soliton" pulses, which have fixed stable structure but can reflect from boundaries and penetrate each other.
Biktashev, V. N., Tsyganov, M. A.
openaire   +4 more sources

Diffusion, Self-Diffusion and Cross-Diffusion

Journal of Differential Equations, 1996
The following system, which determines steady-state solutions for a corresponding parabolic system, is considered: \[ \begin{aligned} \Delta[(d_1+\alpha_{11}u_1+\alpha_{12}u_2)u_1] &+u_1(a_1-b_1u_1-c_1u_2)=0,\\ \Delta[(d_2+\alpha_{21}u_1+\alpha_{22}u_2)u_2] &+u_2(a_2-b_2u_1-c_2u_2)=0\quad\text{in }\Omega,\end{aligned} \] \[ {\partial u_1\over\partial ...
Lou, Yuan, Ni, Wei-Ming
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Coaxial Cross-Diffusion through Carbon Nantoubes

The Journal of Physical Chemistry B, 2009
We present results from nonequilibrium molecular dynamics experiments describing the relaxation of local concentrations at two reservoirs, initially filled with water (W) and acetonitrile (ACN), as they become connected through a membrane composed of (16,16) carbon nanotubes.
Rodriguez, Javier, Elola, Maria Dolores, Laria, Daniel Hector   +2 more
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Rigorous mean-field limit and cross-diffusion [PDF]

Zeitschrift für angewandte Mathematik und Physik, 2019
The mean-field limit in a weakly interacting stochastic many-particle system for multiple population species in the whole space is proved. The limiting system consists of cross-diffusion equations, modeling the segregation of populations. The mean-field limit is performed in two steps: First, the many-particle system leads in the large population limit
Li Chen, Esther S. Daus, Ansgar Jüngel
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Clinical, Histopathological, and Molecular Characterization of Pediatric MN1::ZNF341‐Associated Cancer

Pediatric Blood &Cancer, EarlyView.
ABSTRACT A lethal round‐cell malignancy with an MN1::ZNF341 fusion has recently been reported in three infants. Here, we describe four further tumors, three in newborns (including monozygotic twins), and one in an adolescent. Detailed clinical, radiological, and histopathological data differentiate these tumors from their main mimics, neuroblastoma and
Thomas R. W. Oliver, Dyanne Rampling, Barbara Walkowiak, Nathaniel D. Anderson, Manas Dave, Henry Lee‐Six, Sadie Baskind, Pooja Balasubramanian, Glenn Anderson, Conor Parks, Toochi Ogbonnah, Emilia R. Robertson, Simon Hannam, Rohan Verma, John C. Achermann, Liina Palm, Neil Sebire, Thomas Jacques, Tom Watson, Carryl Dryden, Karin Straathof, Mette Jorgensen, Olga Slater, Sam Behjati, Sarita Depani, J. Ciaran Hutchinson   +25 more
wiley   +1 more source

Influence of cross-diffusion on the fecally-orally epidemic model with spatial heterogeneity

Advances in Difference Equations, 2017
A strongly coupled cooperative parabolic system, which describes fecally-orally epidemic model with cross-diffusion in a heterogeneous environment, was formulated and analyzed.
Jing Ge, Zhigui Lin, Qunying Zhang
doaj   +1 more source

Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare low‐grade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan, Michael Abele, Calogero Virgone, Michaela Kuhlen, Ricardo Lopez‐Almarez, Tal Ben‐Ami, Ewa Bien, Maja Cesen, Malgorzata A. Krawczyk, Andrea Ferrari, Gianni Bisogno, Yves Reguerre, Dominik T. Schneider, Louise Galmiche, Jorg Fuchs, Sarah Braungart, Bilgehan Yalcin, Ines B. Brecht, Daniel Orbach   +18 more
wiley   +1 more source

Trend to equilibrium for systems with small cross-diffusion [PDF]

ESAIM: Mathematical Modelling and Numerical Analysis, 2020
This paper presents new analytical results for a class of nonlinear parabolic systems of partial different equations with small cross-diffusion which describe the macroscopic dynamics of a variety of large systems of interacting particles. Under suitable assumptions, we prove existence of classical solutions and we show exponential convergence in time ...
Luca Alasio, Helene Ranetbauer, Markus Schmidtchen, Marie-Therese Wolfram   +3 more
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Reassessing Bone Marrow Aspirate and Trephine Biopsies in Staging for Paediatric and Young Adult Patients With Ewing Sarcoma and Rhabdomyosarcoma

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Ewing sarcoma (ES) and rhabdomyosarcoma (RMS) are aggressive malignancies in children and adolescents where metastases impact prognosis. 18F‐fluoro‐2‐deoxy‐d‐glucose positron emission tomography/computed tomography (FDG‐PET/CT) and bone marrow aspirate and trephine biopsies (BMAT) are used to identify disease involvement.
Imogen Andrews, Bruce Goodwin, Lauren Buckley, Rick Walker   +3 more
wiley   +1 more source