Results 51 to 60 of about 4,651 (183)

A Complementarity‐Based Approach to De Novo Binder Design

open access: yesAdvanced Science, Volume 12, Issue 33, September 4, 2025.
A novel method for surface complementarity detection (HECTOR) enables highly efficient docking and design of protein interfaces. Applied to therapeutically relevant targets, this method yields de novo binders with potent antagonistic activity. As a first‐principles approach, HECTOR offers a training‐free solution to the binder design problem and is ...
Kateryna Maksymenko   +17 more
wiley   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Generalizations of Rolle’s Theorem

open access: yesMathematics
The classical Rolle’s theorem establishes the existence of (at least) one zero of the derivative of a continuous one-variable function on a compact interval in the real line, which attains the same value at the extremes, and it is differentiable in the ...
Alberto Fiorenza, Renato Fiorenza
doaj   +1 more source

The Extremely Low Mechanical Force Generated by Nano‐Pulling Induces Global Changes in the Microtubule Network, Nuclear Morphology, and Chromatin Transcription in Neurons

open access: yesSmall, Volume 21, Issue 38, September 25, 2025.
Nano‐pulling induces stabilization, reorganization, and reorientation of the microtubule network. The nucleus of stretched cells experiences increased lateral tension, becomes more spherical, and develops surface grooves. At the level of gene expression regulation, changes in nuclear morphology induce global chromatin remodeling, leading to reduced ...
Alessandro Falconieri   +7 more
wiley   +1 more source

Characterizations of minimal elements of upper support with applications in minimizing DC functions

open access: yesOpen Mathematics
In this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh   +2 more
doaj   +1 more source

Research on a Class of Set-Valued Vector Equilibrium Problems and a Class of Mixed Variational Problems

open access: yesMathematics
This paper investigates the structural properties of solutions of vector equilibrium systems and mixed variational inequalities in topological vector spaces.
Wei Cheng, Weiqiang Gong
doaj   +1 more source

Augury and Forerunner: Real‐Time Feedback Via Predictive Numerical Optimization and Input Prediction

open access: yesComputer Graphics Forum, Volume 44, Issue 6, September 2025.
Transient information generated by solver steps can inform future objective function minimization. In Augury, we explore the impact of predictive numerical optimization by using solver history to predict future minimization solutions, reducing computational resources needed to arrive at convergent states for a broad class of gradient‐based optimization
J. Graus, Y. Gingold
wiley   +1 more source

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