Results 51 to 60 of about 1,073,247 (330)
Quantum algorithm for nonhomogeneous linear partial differential equations [PDF]
We describe a quantum algorithm for preparing states that encode solutions of non-homogeneous linear partial differential equations. The algorithm is a continuous-variable version of matrix inversion: it efficiently inverts differential operators that ...
J. M. Arrazola +3 more
semanticscholar +1 more source
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
An integral equation associated with linear homogeneous differential equations
Associated with each linear homogeneous differential equation y(n)=∑i=0n−1ai(x)y(i) of order n on the real line, there is an equivalent integral equation f(x)=f(x0)+∫x0xh(u)du+∫x0x[∫x0uGn−1(u,v)a0(v)f(v)dv]du which is satisfied by each solution f(x) of ...
A. K. Bose
doaj +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
Oscillation of Half-Linear Differential Equations with Delay
We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for ...
Simona Fišnarová, Robert Mařík
doaj +1 more source
Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan +2 more
wiley +1 more source
Spinal muscular atrophy (SMA) is a genetic disease affecting motor neurons. Individuals with SMA experience mitochondrial dysfunction and oxidative stress. The aim of the study was to investigate the effect of an antioxidant and neuroprotective substance, ergothioneine (ERGO), on an SMNΔ7 mouse model of SMA.
Francesca Cadile +8 more
wiley +1 more source
Nonlinear differential equation with first order partial derivatives
The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
doaj +1 more source
Microbial exopolysaccharide production by polyextremophiles in the adaptation to multiple extremes
Polyextremophiles are microorganisms that endure multiple extreme conditions by various adaptation strategies that also include the production of exopolysaccharides (EPSs). This review provides an integrated perspective on EPS biosynthesis, function, and regulation in these organisms, emphasizing their critical role in survival and highlighting their ...
Tracey M Gloster, Ebru Toksoy Öner
wiley +1 more source
We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution,
Xueqin Lv, Yue Gao
doaj +1 more source

