Results 51 to 60 of about 322,076 (276)

Explicit Solutions of Singular Differential Equation by Means of Fractional Calculus Operators

open access: yesAbstract and Applied Analysis, 2013
Recently, several authors demonstrated the usefulness of fractional calculus operators in the derivation of particular solutions of a considerably large number of linear ordinary and partial differential equations of the second and higher orders.
Resat Yilmazer, Okkes Ozturk
doaj   +1 more source

Mathieu equation and Elliptic curve

open access: yes, 2011
We present a relation between the Mathieu equation and a particular elliptic curve. We find that the Floquet exponent of the Mathieu equation, for both $q>1$, can be obtained from the integral of a differential one form along the two homology cycles of ...
He, Wei, Miao, Yan-Gang
core   +1 more source

An upstream open reading frame regulates expression of the mitochondrial protein Slm35 and mitophagy flux

open access: yesFEBS Letters, EarlyView.
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva   +5 more
wiley   +1 more source

Revisiting Schrödinger’s fourth-order, real-valued wave equation and the implication from the resulting energy levels

open access: yesRoyal Society Open Science, 2023
In his seminal part IV, Annalen der Physik vol. 81, 1926 paper, Schrödinger has developed a clear understanding about the wave equation that produces the correct quadratic dispersion relation for matter-waves and he first presents a real-valued wave ...
Nicos Makris
doaj   +1 more source

Elliptic operators and maximal regularity on periodic little-H\"older spaces

open access: yes, 2011
We consider one-dimensional inhomogeneous parabolic equations with higher-order elliptic differential operators subject to periodic boundary conditions.
LeCrone, Jeremy
core   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras

open access: yesپژوهش‌های ریاضی, 2020
Introduction Hom-algebraic ‎structures ‎appeared ‎first ‎as a‎ ‎generalization ‎of ‎Lie ‎algebras ‎in [1,3],  ‎where ‎the ‎authors ‎studied ‎‎q-deformations ‎of ‎Witt ‎and ‎Virasoro ‎algebras. A‎ ‎general ‎study ‎and ‎construction ‎of ‎Hom-Lie ‎algebras ‎
Valiollah Khalili
doaj  

Diversity and complexity in neural organoids

open access: yesFEBS Letters, EarlyView.
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

Linking neurogenesis, oligodendrogenesis, and myelination defects to neurodevelopmental disruption in primary mitochondrial disorders

open access: yesFEBS Letters, EarlyView.
Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas   +3 more
wiley   +1 more source

Regularized trace formula for higher order differential operators with unbounded coefficients

open access: yesElectronic Journal of Differential Equations, 2016
In this work we obtain the regularized trace formula for an even-order differential operator with unbounded operator coefficient.
Erdogan Sen   +2 more
doaj  

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