Results 41 to 50 of about 14,922,818 (371)

Meromorphic solutions of three certain types of non-linear difference equations

AIMS Mathematics, 2021
In this paper, the representations of meromorphic solutions for three types of non-linear difference equations of form $ f^{n}(z)+P_{d}(z, f) = u(z)e^{v(z)}, $ $ f^{n}(z)+P_{d}(z, f) = p_{1}e^{\lambda z}+p_{2}e^{-\lambda z} $ and $
Min Feng Chen, Zhi Bo Huang, Zong Sheng Gao   +2 more
doaj   +1 more source

Dynamics and behavior of a higher order rational difference equation

, 2016
We study the global result, boundedness, and periodicity of solutions of the difference equation xn+1 = a+ bxn−l + cxn−k dxn−l + exn−k , n = 0, 1, . . . , where the parameters a, b, c, d, and e are positive real numbers and the initial conditions x−t, x ...
E. Elsayed
semanticscholar   +1 more source

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

SIAM Journal on Numerical Analysis, 2017
A reaction-diffusion problem with a Caputo time derivative of order $\alpha\in (0,1)$ is considered. The solution of such a problem is shown in general to have a weak singularity near the initial time $t=0$, and sharp pointwise bounds on certain ...
M. Stynes, E. O'Riordan, J. Gracia
semanticscholar   +1 more source

RAD50 missense variants differentially affect the DNA damage response and mitotic progression

FEBS Letters, EarlyView.
RAD50 incorporates into the MRN complex and initiates the DNA damage response. Furthermore, RAD50 promotes mitotic progression. RAD50 missense variants capable of forming an MRN complex supported the DNA damage response and mitotic features to different extents in complementation experiments, indicating these functions are separable and might impact ...
Hanna Redeker, Swantje Kebel, Lea Völkening, Anna Vatselia, Louisa Weinhold, Girmay Asgedom, Axel Schambach, Detlev Schindler, Thilo Dörk, Kristine Bousset   +9 more
wiley   +1 more source

Difference equation for a population model

Discrete Dynamics in Nature and Society, 2000
In this paper we consider a difference equation of the form u(t+2)=αu(t+1)+βu(t+1)−αu(t)αu(t), for t>−∞, seems to be a general statement of a relative socio-spatial dynamics. Indeed this equation is one of “population model”.
Mami Suzuki
doaj   +1 more source

An integrable discretization of KdV at large times

, 2001
An "exact discretization" of the Schroedinger operator is considered and its direct and inverse scattering problems are solved. It is shown that a differential-difference nonlinear evolution equation depending on two arbitrary constants can be solved by ...
A Spire, Ablowitz M J, Ablowitz M J, B Prinari, Bogoyavlensky O I, Case K M, Chadan K, F Pempinelli, Flaschka H, Guseinov G S, Guseinov G S, Hirota R, Kac M, Kako F, M Boiti, Manakov S V, Nijhoff F W, Pogrebkov A K, Shabat A   +18 more
core   +1 more source

On the Hyers-Ulam Stability of the First-Order Difference Equation

, 2016
We prove Hyers-Ulam stability of the first-order difference equation of the form , where is a given function with some moderate features. Moreover, we introduce some conditions for the function under which the difference equation is not stable in the ...
Soon-Mo Jung, Y. Nam
semanticscholar   +1 more source

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
wiley   +1 more source

4‐nitrobenzoate inhibits 4‐hydroxybenzoate polyprenyltransferase in malaria parasites and enhances atovaquone efficacy

FEBS Letters, EarlyView.
Atovaquone is an antimalarial requiring potentiation for sufficient efficacy. We pursued strategies to enhance its activity, showing that 4‐nitrobenzoate inhibits 4‐hydroxybenzoate polyprenyltransferase, decreasing ubiquinone biosynthesis. Since atovaquone competes with ubiquinol in mitochondria, 4‐nitrobenzoate facilitates its action, potentiating ...
Ignasi Bofill Verdaguer, Matheus Felipe Santos, Maurício Mazzine Filho, Gabriela Oliveira Castro, Agustín Hernández, Manoel Aparecido Peres, Alejandro Miguel Katzin, Marcell Crispim   +7 more
wiley   +1 more source

Linked dimers of the AAA+ ATPase Msp1 reveal energetic demands and mechanistic plasticity for substrate extraction from lipid bilayers

FEBS Letters, EarlyView.
Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur, Brian Acquaviva, Baylee A. Smith, Nathan Walker, Isabella Walter, Matthew L. Wohlever   +5 more
wiley   +1 more source