Results 51 to 60 of about 83,871 (280)
Noether’s theorem in statistical mechanics
Noether’s Theorem relates symmetries to fundamental physical laws. Rather than applying the concept to an action integral in order to obtain conservation laws, here the authors consider Statistical Mechanical objects, such as the free energy and density ...
Sophie Hermann, Matthias Schmidt
doaj +1 more source
In this manuscript, we study the unified integrals recently defined by Rahman et al. and present some new double generalized weighted type fractional integral inequalities associated with increasing, positive, monotone and measurable function F. Also, we
Gauhar Rahman +3 more
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
Fundamental theorem of Wiener calculus
In this paper we define and develop a theory of differentiation in Wiener space C[0,T]. We then proceed to establish a fundamental theorem of the integral calculus for C[0,T].
Chull Park +2 more
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Two-scale large deviations for chemical reaction kinetics through second quantization path integral
Motivated by the study of rare events for a typical genetic switching model in systems biology, in this paper we aim to establish the general two-scale large deviations for chemical reaction systems.
Li, Tiejun, Lin, Feng
core +1 more source
The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
On the probabilistic solution of the Cauchy problem for parabolic equations
The questions about finding (conditional) mathematical expectations, the joint and marginal distribution of different functionals from the trajectories of random processes, expressed through the process itself, the ordinary stochastic integral and the ...
N. Akanbay, Z. Suleimenova
doaj
Representation, relaxation and convexity for variational problems in Wiener spaces
We show convexity of solutions to a class of convex variational problems in the Gauss and in the Wiener space. An important tool in the proof is a representation formula for integral functionals in this infinite dimensional setting, that extends ...
Chambolle, Antonin +2 more
core +2 more sources
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
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source

