Results 61 to 70 of about 772,908 (331)

Construction of complex solutions to nonlinear partial differential equations using simpler solutions [PDF]

, 2021
А. В. Аксенов, Andrei D. Polyanin   +1 more
openalex   +1 more source

Convergence of a finite difference scheme to weak solutions of the system of partial differential equation arising in mean field games [PDF]

, 2015
Mean field type models describing the limiting behavior of stochastic differential games as the number of players tends to +$\infty$, have been recently introduced by J-M. Lasry and P-L. Lions.
Achdou, Yves, Porretta, Alessio
core   +2 more sources

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
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, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

Sparse Dynamics for Partial Differential Equations

, 2012
We investigate the approximate dynamics of several differential equations when the solutions are restricted to a sparse subset of a given basis. The restriction is enforced at every time step by simply applying soft thresholding to the coefficients of ...
Caflisch, Russel, Hauck, Cory, Osher, Stanley, Schaeffer, Hayden   +3 more
core   +1 more source

Substrate specificity of Burkholderia pseudomallei multidrug transporters is influenced by the hydrophilic patch in the substrate‐binding pocket

FEBS Letters, EarlyView.
Multidrug transporters BpeB and BpeF from the Gram‐negative pathogen Burkholderia pseudomallei have a hydrophilic patch in their substrate‐binding pocket. Drug susceptibility tests and growth curve analyses using an Escherichia coli recombinant expression system revealed that the hydrophilic patches of BpeB and BpeF are involved in the substrate ...
Ui Okada, Satoshi Murakami
wiley   +1 more source

Front motion for phase transitions in systems with memory

, 2000
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici, Alexander I. Domoshnitsky, Alexander Nepomnyashchy, Binder, Caginalp, Caginalp, Caginalp, Caginalp, Cahn, Fife, Horacio G. Rotstein, Jäckle, Jäckle, Jäckle, Jäckle, Neu, Rotstein, Rubinstein   +17 more
core   +1 more source

Mechanisms of parasite‐mediated disruption of brain vessels

FEBS Letters, EarlyView.
Parasites can affect the blood vessels of the brain, often causing serious neurological problems. This review explains how different parasites interact with and disrupt these vessels, what this means for brain health, and why these processes matter. Understanding these mechanisms may help us develop better ways to prevent or treat brain infections in ...
Leonor Loira, Sílvia Arroz‐Madeira, Cláudio A. Franco, Sara Silva Pereira   +3 more
wiley   +1 more source

Transparent DDoS defense by combining Kolmogorov–Arnold networks and XAI for real-time protection in cloud environments

Telematics and Informatics Reports
Cloud computing environments face persistent threats from sophisticated Distributed Denial of Service (DDoS) attacks. Effective defense requires not only high accuracy but also real-time performance and transparent decision-making, a combination that ...
Mohamed Ouhssini, Karim Afdel, Mohamed Akouhar, El hafed Agherrabi, Abdallah Abarda, Mohamed El Fatini, Hasna Mahmoud   +6 more
doaj   +1 more source

Solving Partial Differential Equations Using Deep Learning and Physical Constraints

Applied Sciences, 2020
The various studies of partial differential equations (PDEs) are hot topics of mathematical research. Among them, solving PDEs is a very important and difficult task.
Yanan Guo, Xiaoqun Cao, Bainian Liu, Mei Gao   +3 more
doaj   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source