Results 1 to 10 of about 331 (119)
Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]
Int J Numer Method Biomed EngWe present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Afas KC, Goldman D.
europepmc +2 more sources
Wearable and Implantable Devices for Continuous Monitoring of Muscle Physiological Activity: A Review. [PDF]
Adv Sci (Weinh)Recent advances in materials and device engineering enable continuous, real‐time monitoring of muscle activity via wearable and implantable systems. This review critically summarizes emerging technologies for tracking electrophysiological, biomechanical, and oxygenation signals, outlines fundamental principles, and highlights key challenges and ...
Liao Z +4 more
europepmc +2 more sources
The Rank-One property for free Frobenius extensions
Comptes Rendus. Mathématique, 2023 A conjecture by the second author, proven by Bonnafé–Rouquier, says that the multiplicity matrix for baby Verma modules over the restricted rational Cherednik algebra has rank one over $\mathbb{Q}$ when restricted to each block of the algebra.In this ...
Bellamy, Gwyn, Thiel, Ulrich
doaj +1 more source
Cartan invariant matrices for finite monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Let $M$ be a finite monoid. In this paper we describe how the Cartan invariant matrix of the monoid algebra of $M$ over a field $\mathbb{K}$ of characteristic zero can be expressed using characters and some simple combinatorial statistic.
Nicolas M. Thiéry
doaj +1 more source
Cluster Structures on Double Bott–Samelson Cells
Forum of Mathematics, Sigma, 2021 Let $\mathsf {C}$ be a symmetrisable generalised Cartan matrix. We introduce four different versions of double Bott–Samelson cells for every pair of positive braids in the generalised braid group associated to $\mathsf {C}$ .
Linhui Shen, Daping Weng
doaj +1 more source
On the Higher Nash Blow-Up Derivation Lie Algebras of Isolated Hypersurface Singularities
Mathematics, 2023 It is a natural question to ask whether there is any Lie algebra that completely characterize simple singularities? The higher Nash blow-up derivation Lie algebras Lkl(V) associated to isolated hypersurface singularities defined to be the Lie algebra of ...
Muhammad Asif +3 more
doaj +1 more source
Lax pairs for string Newton Cartan geometry
Nuclear Physics B, 2020 In this paper, based on a systematic formulation of Lax pairs, we show classical integrability for nonrelativistic strings propagating over stringy Newton-Cartan (NC) geometry.
Dibakar Roychowdhury
doaj +1 more source
Semiclassical dynamics for torsional Newton-Cartan strings
Nuclear Physics B, 2020 We explore folded spinning string configurations over torsional Newton Cartan (TNC) geometry with R×S2 topology within the semiclassical approximation. We consider the large c and/or nonrelativistic (NR) limit associated with the world-sheet d.o.f.
Dibakar Roychowdhury
doaj +1 more source
A new class of higher quantum Airy structures as modules of $\mathcal{W}(\mathfrak{gl}_r)$-algebras
SciPost Physics, 2023 Quantum $r$-Airy structures can be constructed as modules of $\mathcal{W}(\mathfrak{gl}_r)$-algebras via restriction of twisted modules for the underlying Heisenberg algebra.
Vincent Bouchard, Kieran Mastel
doaj +1 more source
Aspects of Nonrelativistic Strings
Frontiers in Physics, 2022 We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields.
Gerben Oling, Gerben Oling, Ziqi Yan
doaj +1 more source