Results 41 to 50 of about 2,345,780 (259)

Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics

Journal of Applied Mathematics, 2013
We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
doaj   +1 more source

Higher-order generalized Cahn–Hilliard equations

Electronic Journal of Qualitative Theory of Differential Equations, 2017
Our aim in this paper is to study higher-order (in space) anisotropic generalized Cahn–Hilliard models. In particular, we obtain well-posedness results, as well as the existence of the global attractor. Such models can have applications in biology, image
Laurence Cherfils, Alain Miranville, Shuiran Peng, Wen Zhang   +3 more
doaj   +1 more source

Circulating microRNA signatures of cachexia and cancer in Canis familiaris as a comparative oncology model for human disease

Molecular Oncology, EarlyView.
Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park, Kyongman An, Gyeonghwa Kim, Soo‐Nyun Choi, Hong‐Ki Lee, Keun Hur, Kyu‐Shik Jeong   +6 more
wiley   +1 more source

Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]

, 2003
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S, J. Sayers, Jack Sayers, Sayers, J., J. Wang, Sayers, Jack, Sanders, J.A., Hereman, Willy, Jing Ping Wang, J. Sanders, W. Hereman, Willy Hereman, Wang, J.P., Wang, Jing Ping, Sanders, Jan A., Hereman, W.   +15 more
core   +1 more source

The impact of leukocyte‐associated RNA retention on platelet RNA‐based cancer detection

Molecular Oncology, EarlyView.
Platelets carry RNA signals that may help detect cancer, but platelet samples can also retain RNA from white blood cells. We found that this retained white blood cell signal did not significantly affect machine learning cancer classification, suggesting that the cancer‐related RNA signal in platelets is largely independent of leukocyte‐associated RNA ...
Michał Sieczczyński, Krzysztof Pastuszak, Anna Samelak‐Czajka, Zuzanna Cemka, Paulina Jackowiak, Tomasz Stefaniak, Sylwia Łapińska‐Szumczyk, Jacek Jassem, Anna J. Żaczek, Matthew T. Rondina, Myron G. Best, Sjors G. J. G. In 't Veld, Anna Supernat   +12 more
wiley   +1 more source

INVARIANTS OF GENERALIZED RAPOPORT-LEAS EQUATIONS

Научный вестник МГТУ ГА, 2018
For the generalized Rapoport-Leas equations, algebra of differential invariants is constructed with respect to point transformations, that is, transformations of independent and dependent variables.
E. N. Kushner
doaj   +1 more source

Accurate and noninvasive prostate cancer detection using plasma‐derived extracellular vesicle RNA

FEBS Open Bio, EarlyView.
Plasma extracellular vesicles were captured with WGA‐conjugated magnetic beads and profiled for RNA biomarkers. A three‐RNA panel (NM_024955, NR_047469, and NR_002564) distinguished prostate cancer from healthy controls and benign prostatic hyperplasia, supporting a simple, noninvasive approach to improve prostate cancer detection.
Hanping Wei, Haoran Wu, Wei Feng
wiley   +1 more source

Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter [PDF]

, 2007
summary:We present here the problem of continuous dependence for generalized linear ordinary differential equations in the case when uniform convergence is violated. This work continues research of M. Ashordia (1993) and M. Tvrdý (2002)
Halas, Zdeněk
core   +1 more source

Heterotropic regulation and negative homotropic cooperativity

FEBS Open Bio, EarlyView.
We identified a structural module common to some proteins that couple negative cooperativity with heterotropic regulation, two features that rarely coexist. These proteins are ring‐like and present an ordered asymmetry whereby noncontacting subunits are symmetric, and their tertiary structure differs from that of contacting subunits.
Veronica Morea, Francesco Angelucci, Federica Arnesano, Gianmarco Pascarella, Patrizio Di Micco, Andrea Bellelli   +5 more
wiley   +1 more source

Measure functional differential equations and functional dynamic equations on time scales

, 2012
We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure functional differential equations ...
Mesquita, Jaqueline Godoy, Slavik, Antonin, Federson, Márcia Cristina Anderson Braz, Márcia Federson, Jaqueline G. Mesquita, Antonín Slavík   +5 more
core   +1 more source