Results 21 to 30 of about 55,130 (243)

Perturbations of nonlinear differential equations [PDF]

Transactions of the American Mathematical Society, 1973
Scalar and vector comparison techniques are used to study the comparative asymptotic behavior of the systems (I) x' = f(t,x) and (2) y' = f(t,y) + g(t,y). Conditions are given which allow bounds for the solutions of (2) to-be obtained assuming a knowledge of the solutions of (1) and which guarantee the generalized asymptotic equivalence of (1) and (2).
Fennell, R. E., Proctor, T. G.
openaire   +1 more source

Nonlinear elliptic differential equations with multivalued nonlinearities [PDF]

Proceedings Mathematical Sciences, 2001
In this work, certain quasilinear elliptic boundary value problems are investigated. Homogeneous Dirichlet boundary condition is always considered. In the first result, assuming that the multivalued monotone nonlinearity \(\beta\) satisfies \(\operatorname {dom}\beta = R\) and the existence of an upper and a lower solution, the existence of a solution ...
Fiacca A, Matzakos N, Papageorgiou NS, SERVADEI, RAFFAELLA   +3 more
openaire   +3 more sources

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

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

FEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

Molecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola, Rafael Lopes Goncalves, Marin Truchi, Caroline Lacoux, Célia Scribe, Hugo Cadis, Laetitia Guardini, Sophie Bekisz, Marius Ilié, Paul Hofman, Georges Vassaux, Bernard Mari, Roger Rezzonico   +12 more
wiley   +1 more source

New solutions to a category of nonlinear PDEs

Frontiers in Physics
The nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. In order to solve certain nonlinear partial differential equation, the extended hyperbolic auxiliary
Bacui Li, Fuzhang Wang
doaj   +1 more source

LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro

Molecular Oncology, EarlyView.
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix, Daniel Samaga, Katharina Gehr, Benedek Dankó, Mohamed Schumann, Guido Drexler, Ahmed Alnatsha, Georg Beyer, Ujjwal Mahajan, Martin Selmansberger, Julia Mayerle, Claus Belka, Horst Zitzelsberger, Kirsten Lauber   +13 more
wiley   +1 more source

Exact solutions of some nonlinear evolution equations via the first integral method

Ain Shams Engineering Journal, 2013
The first integral method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this work, we explore new application of this method to some special nonlinear partial differential equations.
N. Taghizadeh, M. Mirzazadeh, A. Samiei Paghaleh   +2 more
doaj   +1 more source

DDX3X induces mesenchymal transition of endothelial cells by disrupting BMPR2 signaling

FEBS Open Bio, EarlyView.
Elevated DDX3X expression led to downregulation of BMPR2, a key regulator of endothelial homeostasis and function. Our co‐immunoprecipitation assays further demonstrated a molecular interaction between DDX3X and BMPR2. Notably, DDX3X promoted lysosomal degradation of BMPR2, thereby impairing its downstream signaling and facilitating endothelial‐to ...
Yu Zhang, Jing Wang, De‐Hui Qian, Yang‐Fan Lv, Tian‐Le Cheng, Da‐Peng Wang, Jing Zhang, Ye Fan   +7 more
wiley   +1 more source

C2α‐carbanion‐protonating glutamate discloses tradeoffs between substrate accommodation and reaction rate in actinobacterial 2‐hydroxyacyl‐CoA lyase

FEBS Open Bio, EarlyView.
Enzymes of the 2‐hydroxyacyl‐CoA lyase group catalyze the condensation of formyl‐CoA with aldehydes or ketones. Thus, by structural adaptation of active sites, practically any pharmaceutically and industrially important 2‐hydroxyacid could be biotechnologically synthesized. Combining crystal structure analysis, active site mutations and kinetic assays,
Michael Zahn, Barbara Seroka, Ryszard Lazny, Zenon Lotowski, Thore Rohwerder   +4 more
wiley   +1 more source