Results 171 to 180 of about 14,747,589 (248)

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng   +3 more
wiley   +1 more source

Algebraic Representation of Mitochondrial Dynamics. [PDF]

open access: yesBull Math Biol
Mostov R, Lewis G, Sturm G, Marshall WF.
europepmc   +1 more source

Graded Differential Polynomial Rings

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley   +1 more source

The Reduction Theorem for Leavitt Path Algebras of Labeled Graphs and Its Applications

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We introduce a notion of labeled cycle for normal labeled spaces and prove a reduction theorem for Leavitt path algebras associated with labeled graphs. We show that every nonzero element can be reduced, by suitable left and right multiplication, either to a nonzero scalar multiple of a projection or to a polynomial supported on a labeled ...
Daniel Gonçalves   +2 more
wiley   +1 more source

Compositional neurosymbolic representations enable efficient active exploration. [PDF]

open access: yesNat Commun
Furlong PM   +4 more
europepmc   +1 more source

Decoding the Gut‐Brain Axis: Multi‐Omics Reveals a Causal Chain Linking Human Genome, Gut Microbiota, Blood Metabolites, and Alertness in the Brain

open access: yesMed Research, EarlyView.
This multi‐omics study identified genetic loci, gut microbiota, blood metabolites, and gray matter volumes of orbitofrontal cortex and cerebellum that were potentially relevant to alerting in healthy Chinese adults. Subsequent two‐step one‐sample Mendelian randomization further revealed a serial mediation pathway: Bacteroides intestinalis influences ...
Hongru Li   +8 more
wiley   +1 more source

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés   +2 more
wiley   +1 more source

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