Results 21 to 30 of about 787,248 (251)
Countable hyperbolic systems in the theory of nonlinear oscillations
Karpatsʹkì Matematičnì Publìkacìï, 2016 In this article a model example of a mixed problem for a fourth-order differential equation reduced to initial-boundary value problem for countable hyperbolic system of first order coherent differential equations.
T.I. Firman
doaj +1 more source
FEBS Letters, EarlyView.How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley +1 more source
FEBS Letters, EarlyView.Transient oligomers formed by intrinsically disordered proteins may be ‘invisible’ to direct detection yet remain accessible to solution NMR through equilibrium‐exchange measurements and pressure‐jump experiments. Complementary methods report on mass, stoichiometry, selected distance distributions, morphology, and internal packing.
Martin D. Gelenter, Ad Bax
wiley +1 more source
Smoothness of solutions of conjugate boundary-value problems on a measure chain
Electronic Journal of Differential Equations, 2000 In this paper we consider the n-th order $Delta$-differential equation (often refered to as a differential equation on a measure chain) $$u^{Delta_n}(t) = f(t, u(sigma(t)),dots, u^{Delta_{n-1}}(sigma(t)))$$ satisfying n-point conjugate boundary ...
Eric R. Kaufmann
doaj
Singularity Excitations and Initial Value Problem in Continuous LTI Systems
IEEE Access, 2020 A modern challenge in electrical engineering education is to keep the math at a sufficient level, with a goal to find an optimal balance between calculus competence and operative skills needed for real-life technical applications. It is not uncommon that
Milan M. Ponjavic, Tomislav B. Sekara
doaj +1 more source
Runge–Kutta–Nyström Pairs of Orders 8(6) for Use in Quadruple Precision Computations
Mathematics, 2023 The second-order system of non-stiff Initial Value Problems (IVP) is considered and, in particular, the case where the first derivatives are absent.
Vladislav N. Kovalnogov +5 more
doaj +1 more source
Computability of Initial Value Problems
We demonstrate that techniques of Weihrauch complexity can be used to get easy and elegant proofs of known and new results on initial value problems. Our main result is that solving continuous initial value problems is Weihrauch equivalent to weak Kőnig's lemma, even if only solutions with maximal domains of existence are considered.
Vasco Brattka, Hendrik Smischliaew
openaire +3 more sources
Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
FEBS Letters, EarlyView.What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley +1 more source
Note on a discrete initial value problem from a competition
Advances in Difference Equations, 2021 The following discrete initial value problem x n + 1 = x n ( x n − 1 2 − 2 ) − x 1 , n ∈ N , $$ x_{n+1}=x_{n}\bigl(x_{n-1}^{2}-2 \bigr)-x_{1},\quad n\in {\mathbb{N}}, $$ x 0 = 2 $x_{0}=2$ and x 1 = 5 / 2 $x_{1}=5/2$ , appeared at an international ...
Stevo Stević
doaj +1 more source
Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source