Results 61 to 70 of about 10,341 (216)
Existence and non-existence of solutions for an elliptic system
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Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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The human gut microbiome across the life course
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
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Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
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Existence of local and global solution for a spatio-temporal predator-prey model
In this paper we prove the existence and uniqueness of weak solutions for a kind of Lotka–Volterra system, by using successive linearization techniques. This approach has the advantage to treat two equations separately in each iteration step.
Ricardo Cano Macias, Jorge Mauricio Ruiz V
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A Technique for Proving Existence of Solutions
Problems of the form \[ x'(t)= f(t,x(t)),\qquad t\in[0,T], \quad x(0)\neq x_0,\tag{IVP} \] where \(T\in \mathbb{R}^+\), \(x_0\in \mathbb{R}^N\), and \(f:\mathbb{R}\times \mathbb{R}^N\to \mathbb{R}^N\) are considered and the existence of Carathéodory solutions of (IVP) is studied.
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This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
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Existence and asymptotic behavior of solution to a singular elliptic problem [PDF]
In this paper we obtain existence results for the positive solution of a singular elliptic boundary value problem. To prove the main results we use comparison arguments and the method of sub-super solutions combined with a procedure which truncates ...
Dragoş-Pătru Covei
doaj
The Existence of Positive Solution of a Nonlinear Problem on Unit Circle
We consider the following nonlinear problem u″x+λux+fx,u=0, x∈S1, (P) where S1 is a unit circle, λ∈ℝ is a parameter, and fx,u is a nonlinearity. By using the variational method, we obtain the existence of a positive solution to (P) for all λ∈ℝ.
Na Wei, Yanli Zhou, Xiangyu Ge
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