Results 41 to 50 of about 1,145 (256)
On the unique solvability of the Runge-Kutta equations
We consider the existence of a unique solution to the systems of equations that arise when we apply a Runge-Kutta method to a stiff nonlinear system of differential equations \(U'=f(t,U)\), with f satisfying a one-sided Lipschitz condition with constant \(\beta\).
Kraaijevanger, J.F.B.M., Schneid, J.
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Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
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On the boundary value problem for the loaded parabolic equations with irregular coefficients
In the paper we consider the generalized solvability of boundary value problem for the loaded parabolic equations with irregular coefficients. Theorem on unique solvability of the boundary value problem is proved.
M.T. Jenaliyev, A.S. Kassymbekova
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
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Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
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On the Unique Solvability of a Nonlinear Functional Evolution Equation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Uniqueness and Solvability in The Linear Problem of Ship Waves [PDF]
This work is devoted to the question of uniqueness and solvability for the linear problem of ship waves, describing the forward motion of rigid totally submerged bodies in an unbounded fluid with a free surface. The statement of the problem is discussed with some attention paid to the conditions at infinity.
O. V. Motygin, P. Mciver
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The ubiquitin ligase RNF115 is required for the clearance of damaged lysosomes
Upon lysosomal rupture, an E3 ubiquitin ligase RNF115 translocates from the cytosol to the damaged lysosomal membrane. Moreover, RNF115 depletion impairs the clearance of damaged lysosomes, identifying it as a key regulator of lysosomal quality control.
Sae Nakanaga +3 more
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We formulate a stochastic impulse control model for animal population management and a candidate of exact solutions to a Hamilton–Jacobi–Bellman quasi-variational inequality.
Yuta Yaegashi +3 more
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pH‐mediated activation of the lysosomal arginine sensor SLC38A9
Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
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