Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Multiple solutions for a discrete anisotropic (p_1(k),p_2(k))-Laplacian equations
Electronic Journal of Differential Equations, 2015 This article concerns the existence and multiplicity solutions for a discrete Dirichlet Laplacian problems. Our technical approach is based on variational methods.
El Miloud Hssini
doaj
Evidence for a dual-process account of over-imitation: Children imitate anti- and prosocial models equally, but prefer prosocial models once they become aware of multiple solutions to a task. [PDF]
PLoS One, 2021 Schleihauf H, Hoehl S.
europepmc +1 more source
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Existence and multiplicity of solutions for nonhomogeneous Klein-Gordon-Maxwell equations
Electronic Journal of Differential Equations, 2015 This article concerns the nonhomogeneous Klein-Gordon-Maxwell equation $$\displaylines{ -\Delta u+u-(2\omega +\phi)\phi u=|u|^{p-1}u +h(x), \quad\text{in }\mathbb{R}^3,\cr \Delta \phi=(\omega +\phi)u^2,\quad\text{in }\mathbb{R}^3, }$$ where ...
Liping Xu, Haibo Chen
doaj
On some variational algebraic problems
Advances in Nonlinear Analysis, 2013 In this paper by exploiting critical point theory, the existence of two distinct nontrivial solutions for a nonlinear algebraic system with a parameter is established.
Molica Bisci Giovanni, Repovš Dušan
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Convergence of the newton process to multiple solutions
Numerische Mathematik, 1966 In 1870, E.Schroder showed that the convergence of the Newton process of successive approximations to a multiple solution of a scalar equation was geometric in character, and that quadratic convergence could be restored by multiplying the ordinary corrections by a constant.
openaire +2 more sources
Investigating transcription factor dynamics in health and disease using FRAP
FEBS Letters, EarlyView.FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
wiley +1 more source
Existence of nontrivial solutions for singular quasilinear equations with sign changing nonlinearity
Electronic Journal of Differential Equations, 2010 By an application of Bonanno's three critical point theorem, we establish the existence of a nontrivial solution to the problem $$displaylines{ -Delta_p u= mu frac{g(x)|u|^{p-2}u}{|x|^p} +lambda a(x)f(u) quad hbox{in }Omega,cr u =0quad hbox{on ...
Jagmohan Tyagi
doaj
Demonstratio MathematicaIn this paper, we study the existence and multiplicity solutions for the following perturbed double critical fractional Schrödinger–Poisson Systems in R3 ${\mathbb{R}}^{3}$ :
He Xian, Liang Sihua
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