Results 91 to 100 of about 166,982,905 (289)
Lie Group Symmetries as Integral Transforms of Fundamental Solutions [PDF]
We obtain fundamental solutions for PDEs of the form ut = x uxx +f(x)ux ??xru by showing that if the symmetry group of the PDE is nontrivial, it contains a standard integral transform of the fundamental solution. We show that in this case, the problem of
Mark Craddock, Kelly A Lennox
core
FEBS Letters, EarlyView.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
The Method of Fundamental Solutions for Inverse and Moving Rigid Body Problems
, 2007 在本論文中，採用基本解法來分析反算及移動剛體之問題。在開始時，將基本解法結合矩陣的條件數來分析反算問題，包含二維拉普拉司方程式、柯西問題、遺失邊界條件和內部資料問題、散佈資料問題以及外型反算識別問題。再者，將基本解法結合穩態的史托克斯例來求解過度指定和不足指定部分邊界的反算史托克斯問題。史托克斯例的係數可以從任意兩個場域變數，例如速度、壓力、渦度或是流線函數來求得。將數值解和解析解加以比較均可以得到良好的結果。 接著，將基本解法與非穩態史托克斯例加以合併，加上對反算問題的數值經驗 ...
陳哲維, Chen, Chi-Wei
core
3D Multi-Domain MFS Analysis of Sound Pressure Level Reduction Between Connected Enclosures
Archives of Acoustics, 2013 In this paper, the authors study the 3D propagation of sound waves between two closed spaces. The separation element between the two rooms is considered to include either a small opening or a homogeneous lightweight panel, coupling the two spaces.
Luıs GODINHO +2 more
doaj
Symmetry group methods for fundamental solutions
Journal of Differential Equations, 2004 The authors use Lie symmetry group methods to find fundamental solutions for a class of partial differential equations of the form \(u_t=xu_{xx}+f(x)u_x\), \(x\geq 0\), i.e. to find the kernel function \(p(t,x,y)\), such that \(u(x,t)=\int_0^\infty\varphi(y)p(t,x,y)\,dy\) is a solution of the relevant Cauchy problem with \(u(x,0)=\varphi(x)\).
Craddock, Mark, Platen, Eckhard
openaire +1 more source
The human gut microbiome across the life course
FEBS Letters, EarlyView.Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
wiley +1 more source
FEBS Letters, EarlyView.Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
MathematicsThe discrete null-field equation method (DNFEM) was proposed based on the null-field equation (NFE) of Green’s representation formulation, where only disk domains were discussed.
Li-Ping Zhang +4 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2000 A potentially theoretical scheme in the fundamental solutions method, different from the conventional one, is proposed for numerical conformal mappings of unbounded multiply connected domains.
Tetsuo Inoue +3 more
doaj +1 more source
FEBS Letters, EarlyView.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
wiley +1 more source