Results 51 to 60 of about 753,468 (309)
Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors
Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
wiley +1 more source
Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
wiley +1 more source
PDE Surface-Represented Facial Blendshapes
Partial differential equation (PDE)-based geometric modelling and computer animation has been extensively investigated in the last three decades. However, the PDE surface-represented facial blendshapes have not been investigated.
Haibin Fu +5 more
doaj +1 more source
The Cauchy problem for a nonlinear first order partial differential equation
Wendell H. Fleming
openalex +4 more sources
A note on duality of first order partial differential equations [PDF]
The following generalized Legendre contact transformation of \(J^1 (\mathbb{R}^n, \mathbb{R})\) with the local coordinates \((x, u, p)= (x_1, \dots, x_n, y, p_1, \dots,p_n)\) and \(I\subset \{1, \dots, n\}\), \[ X_{I^c}= x_{I^c}, \quad X_I = p_I, \quad Y= p_I x_I- y, \quad P_{I^c}= p_{I^c}, \quad P_I= x_I \] is used to formulate and prove a duality ...
openaire +3 more sources
Single‐cell insights into the role of T cells in B‐cell malignancies
Single‐cell technologies have transformed our understanding of T cell–tumor cell interactions in B‐cell malignancies, revealing new T‐cell subsets, functional states, and immune evasion mechanisms. This Review synthesizes these findings, highlighting the roles of T cells in pathogenesis, progression, and therapy response, and underscoring their ...
Laura Llaó‐Cid
wiley +1 more source
Structured populations with distributed recruitment: from PDE to delay formulation
In this work first we consider a physiologically structured population model with a distributed recruitment process. That is, our model allows newly recruited individuals to enter the population at all possible individual states, in principle.
Calsina, Àngel +2 more
core +1 more source
Knowing how proteases recognise preferred substrates facilitates matching proteases to applications. The S1′ pocket of protease EA1 directs cleavage to the N‐terminal side of hydrophobic residues, particularly leucine. The S1′ pocket of thermolysin differs from EA's at only one position (leucine in place of phenylalanine), which decreases cleavage ...
Grant R. Broomfield +3 more
wiley +1 more source
In the theory of ordinary differential equations, the Clairaut equation is well known. This equation is a non-linear differential equation unresolved with respect to the derivative.
Liliya Leonidovna Ryskina
doaj +1 more source
PDEs in Moving Time Dependent Domains
In this work we study partial differential equations defined in a domain that moves in time according to the flow of a given ordinary differential equation, starting out of a given initial domain.
AJ Chorin +5 more
core +2 more sources

