Results 71 to 80 of about 290,059 (256)
The transformation of the N-th-order linear difference equation into a system of the first order difference equations is presented. The proposed transformation opens possibility to obtain new forms of the N-dimensional system of the first order equations that can be useful for the analysis of solutions of the N-th-order difference equations.
openaire +3 more sources
Oscillation for System of Delay Difference Equations
Consider the system of difference equations \[ x_i(t)-x_i(t-\sigma) +\sum^l_{k=1} \sum^n_{j=1}p_{ijk} x_j(t-\tau_k)=0,\;i=1,2,\dots, n,\tag{*} \] where \(p_{ijk}\in\mathbb{R}\), \(\sigma\) and \(\tau_k\in (0,\infty)\), \(i,j=1,2, \dots, n\), \(k=1,2,\dots,l\).
Yan, Jurang, Zhang, Fengqin
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Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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Behavior of a Competitive System of Second-Order Difference Equations
We study the boundedness and persistence, existence, and uniqueness of positive equilibrium, local and global behavior of positive equilibrium point, and rate of convergence of positive solutions of the following system of rational difference equations ...
Q. Din, T. F. Ibrahim, K. A. Khan
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Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
wiley +1 more source
Solutions Of The System Of Maximum Difference Equations
The behaviour of the solutions of the following system of difference equations is examined.
Dağıstan Şimşek, Ahmet Doğan
doaj
On a system of difference equations of third order solved in closed form
In this work, we show that the system of difference equations xn+1=(ayn-2xn-1yn+bxn-1yn-2+cyn-2+d)/(yn-2xn-1yn), yn+1=(axn-2yn-1xn+byn-1xn-2+cxn-2+d)/(xn-2yn-1xn), where n belongs to the set of positive integer numbers, x-2, x-1, x0, y-2, y-1 and y0 are ...
Youssouf AKROUR +2 more
doaj
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
On a multidimensional close-to-cyclic system of difference equations
This paper investigates the solvability and dynamic properties of the following multidimensional close-to-cyclic system of nonlinear difference equations yn+1 (i)=aiyn (i+1) (y n−k (i+1))pi+1+b i (yn−k+1 (i))pi;n∈ℕ0,yn (i+k)=yn (i),pi+k=pi,ai+k=ai,bi+
Yacine Halim +2 more
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This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
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