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
wiley +1 more source
Existence and localization of solutions for fourth-order boundary-value problems
In this paper, we study the existence of solutions for the differential equation $$ u^{(4)}(t)=fig(t,u(t),u''(t)ig), $$ where $f$ satisfies one-sided Lipschitz conditions with respect to $u$ and $u''$, with periodic conditions or boundary conditions from
Luis Sanchez, Ricardo Enguica
doaj
Thermodynamic resource theories, non-commutativity and maximum entropy principles
We discuss some features of thermodynamics in the presence of multiple conserved quantities. We prove a generalisation of Landauer principle illustrating tradeoffs between the erasure costs paid in different ‘currencies’.
Matteo Lostaglio +2 more
doaj +1 more source
Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals [PDF]
The aim of the paper is to give strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals in relatively arbitrary \((n+1)\)-dimensional time-space sets more general than the ...
Ludwik Byszewski
doaj +1 more source
Maximum and comparison principles for convex functions on the Heisenberg group
We prove estimates, similar in form to the classical Aleksandrov estimates, for a Monge-Ampere type operator on the Heisenberg group. A notion of normal mapping does not seem to be available in this context and the method of proof uses integration by ...
Gutierrez, Cristian E. +1 more
core +1 more source
Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
Well-posedness and maximum principles for lattice reaction-diffusion equations
Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín +2 more
doaj +1 more source
Maximum principles for viscosity solutions of weakly elliptic equations
Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
doaj +1 more source
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
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 +13 more
wiley +1 more source
Optimal Conditions for Maximum and Antimaximum Principles of the Periodic Solution Problem
Given a periodic, integrable potential q(t), we will study conditions on q(t) so that the operator Lqx=x″+qx admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition.
Meirong Zhang
doaj +2 more sources

