Results 81 to 90 of about 2,128,627 (261)

A parabolic-hyperbolic free boundary problem modeling tumor growth with drug application

Electronic Journal of Differential Equations, 2010
In this article, we study a free boundary problem modeling the growth of tumors with drug application. The model consists of two nonlinear second-order parabolic equations describing the diffusion of nutrient and drug concentration, and three ...
Ji-Hong Zhao
doaj  

Metal nanostructure‐coupled label‐free localized surface plasmon resonance biosensors for rapid and sensitive disease diagnosis

BMEMat, EarlyView.
LSPR biosensing enables rapid, sensitive, and low‐sample‐volume detection of biomarkers, with broad applications in diagnosing cancer, infectious, and chronic diseases. Advances in nanostructure design, micro/nanofabrication, and microfluidic integration have expanded the potential of LSPR sensors in biomedical diagnostics.
Zhaoxin Geng, Yunfei Sha, Jiongyan Yang, Hongru Yang, Xiao Liang   +4 more
wiley   +1 more source

Modeling Heavy Metal Sorption and Interaction in a Multispecies Biofilm

Mathematics, 2019
A mathematical model able to simulate the physical, chemical and biological interactions prevailing in multispecies biofilms in the presence of a toxic heavy metal is presented.
Berardino D’Acunto, Luigi Frunzo, Vincenzo Luongo, Maria Rosaria Mattei   +3 more
doaj   +1 more source

Smoothing for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions

Journal of Mathematical Analysis and Applications, 1997
The authors are concerned with smoothing effects for a class of nonlinear partial differential equations of parabolic type. They extend some known properties of the solution in the linear case, to their nonlinear case. Such properties are: \(u_t(\cdot, t)\to 0\) as \(t\to \infty\) in the \(L^2\)-norm, and \(u(\cdot,t)\) is bounded on \((0,\infty ...
Goldstein, Gisèle Ruiz, Goldstein, Jerome A   +1 more
openaire   +2 more sources

Review of CFD modelling techniques for single‐phase and multiphase flow in static mixers

The Canadian Journal of Chemical Engineering, EarlyView.
This review synthesizes computational fluid dynamics (CFD) approaches for static mixers, linking hydrodynamics to pressure drop, particle/droplet distributions, mixing metrics, and heat‐transfer performance to guide modelling choices and design decisions. Abstract Static mixers enable compact and low‐energy intensification.
Jussan Jaeger, Sálvio Lima de Carvalho Neto, Silvio Edegar Weschenfelder, Glaucia Rodrigues Vieira de Almeida da Fonseca, Maria de Fátima Rodrigues da Cunha, Selene Maria Arruda Guelli Ulson de Souza, Evandro Balestrin, Adriano da Silva   +7 more
wiley   +1 more source

Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

International Journal of Mathematics and Mathematical Sciences, 1989
The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
doaj   +1 more source

Existence results for a class of nonlinear parabolic equations in Orlicz spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2010
An existence result of a renormalized solution for a class of nonlinear parabolic equations in Orlicz spaces is proved. No growth assumption is made on the nonlinearities.
Hicham Redwane
doaj   +1 more source

Coupled heat and mass transfer in reactive parallel‐plate flow: A perturbative Graetz model with modal symmetry and Arrhenius kinetics

The Canadian Journal of Chemical Engineering, EarlyView.
A perturbative Graetz model describes coupled heat and mass transfer in reactive Couette–Poiseuille flow between parallel plates. Viscous dissipation and heat of reaction produce a small temperature rise, which enhances Arrhenius reaction rates and modestly accelerates axial species conversion in the small‐Brinkman‐number regime.
Leonardo Damián Soria Rodríguez, Anthony Albert Harrup Gutiérrez   +1 more
wiley   +1 more source

Multivariable Linear Algebraic Discretization of Nonlinear Parabolic Equations for Computational Analysis. [PDF]

Comput Intell Neurosci, 2022
Zuo L, Mei F.
europepmc   +1 more source

Synthesis and characterization of polymer networks obtained by conventional radical and RAFT copolymerization processes in supercritical carbon dioxide

The Canadian Journal of Chemical Engineering, EarlyView.
Conventional and RAFT dispersion copolymerizations of HEMA and EGDMA in supercritical CO2 are compared in terms of swelling index (crosslink density), morphology, particle size distribution, and modular differential scanning calorimetry. Abstract The syntheses of net‐poly((2‐hydroxyethylene methacrylate)‐co‐(ethylene glycol dimethacrylate ...
Patricia Pérez‐Salinas, Karen Mozeltzin Gómez‐Cruz, Alberto Rosas‐Aburto, Maribel Pineda‐Herrera, Humberto Vázquez‐Torres, Graeme Moad, Eduardo Vivaldo‐Lima   +6 more
wiley   +1 more source