Using Abel\u27s Theorem to Explain Repeated Roots of the Characteristic Equation [PDF]
This document describes how one can derive the solutions to a linear constant coefficient homogeneous differential equation with repeated roots in the characteristic equation with Abel\u27s ...
Green, William
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Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
wiley +1 more source
Appendix A. A characteristic equation of an annual plant matrix model and solutions of the implicit differentiation of this characteristic equation with respect to the lower-level parameters that make up matrix elements. [PDF]
A characteristic equation of an annual plant matrix model and solutions of the implicit differentiation of this characteristic equation with respect to the lower-level parameters that make up matrix ...
Alan B. Griffith (2903597) +1 more
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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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Explicit Numerical Manifold Characteristic Galerkin Method for Solving Burgers’ Equation [PDF]
This paper presents a nonstandard numerical manifold method (NMM) for solving Burgers’ equation. Employing the characteristic Galerkin method, we initially apply the Crank–Nicolson method for temporal discretization along the characteristic. Subsequently,
Tao Chen +3 more
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Maxwell’s Mixing Equation Revisited: Characteristic Impedance Equations for Ellipsoidal Cells [PDF]
We derived a series of, to our knowledge, new analytic expressions for the characteristic features of the impedance spectra of suspensions of homogeneous and single-shell spherical, spheroidal, and ellipsoidal objects, e.g., biological cells of the ...
Gimsa, Jan, Stubbe, Marco
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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
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
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SOLVING THE FRACTIONAL DIFFERENTIAL RICCATI EQUATION ARISING FROM THE HESTON MODEL WITH NEURAL NETWORKS AND POWER SERIES EXPANSION [PDF]
reservedIn my work I explore the fractional differential Riccati equation, which is a particular equation that arises in many different mathematical problems. In particular, It arises in the financial stochastic model of Heston, more precisely, the rough
HU, NICOLA
core
An asymptotic result for linear nonhomogeneous mixed type differential equation [PDF]
We consider a nonhomogeneous linear mixed type differential equation with variable coefficients and establish an asymptotic result for its solutions. Our result is obtained by the use of a solution of the so-called generalized characteristic equation of ...
Ali Fuat Yeniçerioğlu
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