Results 61 to 70 of about 1,894,382 (325)
On the Relation between Topological Entropy and Restoration Entropy
In the context of state estimation under communication constraints, several notions of dynamical entropy play a fundamental role, among them: topological entropy and restoration entropy. In this paper, we present a theorem that demonstrates that for most
Christoph Kawan
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Thermodynamic and dynamical predictions for bifurcations and non-equilibrium phase transitions
“Critical transitions”, in which systems switch abruptly from one state to another are ubiquitous in physical and biological systems. Such critical transitions in complex systems are commonly described as dynamical processes within the framework of ...
Han Yan, Feng Zhang, Jin Wang
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Ergodicity of hard spheres in a box [PDF]
We prove that the system of two hard balls in a $\nu$-dimensional ($\nu\ge2$) rectangular box is ergodic and, therefore, actually it is a Bernoulli flow.
arxiv +1 more source
The power of microRNA regulation—insights into immunity and metabolism
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto+2 more
wiley +1 more source
In lymphoid organs, antigen recognition and B cell receptor signaling rely on integrins and the cytoskeleton. Integrins act as mechanoreceptors, couple B cell receptor activation to cytoskeletal remodeling, and support immune synapse formation as well as antigen extraction.
Abhishek Pethe, Tanja Nicole Hartmann
wiley +1 more source
Controlling complex dynamical systems based on the structure of the networks
Progress of molecular biology resulted in the accumulation of information on biomolecular interactions, which are complex enough to be termed as networks.
Atsushi Mochizuki
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Advances in neuroscience have been closely linked to mathematical modeling beginning with the integrate-and-fire model of Lapicque and proceeding through the modeling of the action potential by Hodgkin and Huxley to the current era.
Wassim M. Haddad+2 more
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Leafwise cohomological expression of dynamical zeta functions on foliated dynamical systems [PDF]
A Riemmanian foliated dynamical system of 3-dimension $(\mathrm{RFDS}^{3})$ is a closed Riemannian 3-manifold with additional structures: foliation, dynamical system. In the context of arithmetic topology, it is a geometric/analytic analogue of an arithmetic scheme with a conjectural dynamical system suggested by C. Deninger.
arxiv
Interaction extracellular vesicles (iEVs) are hybrid vesicles formed through host‐pathogen communication. They facilitate immune evasion, transfer pathogens' molecules, increase host cell uptake, and enhance virulence. This Perspective article illustrates the multifunctional roles of iEVs and highlights their emerging relevance in infection dynamics ...
Bruna Sabatke+2 more
wiley +1 more source
The study of the dynamic behavior of a rigid body with one fixed point (gyroscope) has a long history. A number of famous mathematicians and mechanical engineers have devoted enormous time and effort to clarify the role of dynamic effects on its movement
Svetoslav Ganchev Nikolov+1 more
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