Results 71 to 80 of about 166,676,583 (294)

Upper-division student difficulties with separation of variables

Physical Review Special Topics. Physics Education Research, 2015
Separation of variables can be a powerful technique for solving many of the partial differential equations that arise in physics contexts. Upper-division physics students encounter this technique in multiple topical areas including electrostatics and ...
Bethany R. Wilcox, Steven J. Pollock
doaj   +1 more source

From mice to humans—divergent strategies for intestinal homeostasis and regeneration

FEBS Letters, EarlyView.
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa, Shinya Sugimoto, Toshiro Sato   +2 more
wiley   +1 more source

A topological separation condition for fractal attractors [PDF]

, 2009
We consider finite systems of contractive homeomorphisms of a complete metric space, which are non-redundant on every level. In general this separation condition is weaker than the strong open set condition and is not equivalent to the weak separation ...
Geronimo, J., Borodachov, S., Bedford, T.   +2 more
core   +3 more sources

A mathematical model of heat transfer in apparatus of air cooling of oil

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
In this paper the boundary value problem describing the process of unsteady heat transfer in apparatus of air cooling of oil is formulated and solved. Different modes of operation of such heat exchangers are modeled.
Valeriy A Kuznetsov, Ludmila A Migacheva, Alexander V Starikov, Andrey R Titov   +3 more
doaj  

Symmetric separation of variables for trigonometric integrable models

Nuclear Physics B, 2020
We study a problem of variable separation for the classical integrable hamiltonian systems possessing Lax matrices satisfying linear r-matrix algebra with skew-symmetric sl(2)⊗sl(2)-valued trigonometric r-matrix.
T. Skrypnyk
doaj   +1 more source

Structural insights and therapeutic targets in Acinetobacter baumannii capsule biosynthesis

FEBS Letters, EarlyView.
Hypervirulent KL49 A. baumannii's capsular polysaccharide contains the nonulosonic acid 8‐epi‐Leg5,7Ac2, synthesized by epimerization via ElaA, ElaB, and ElaC. Crystal structures of ElaA, ElaB, and ElaC reveal their role in CMP‐Leg5,7Ac2 synthesis and regioselective C8 epimerization.
Woo Cheol Lee, Junho Jeong, Chae Yeong Lee, Hyunjoon Cho, Man Hwan Oh, Je Chul Lee, Jee‐Young Lee, Yangmee Kim   +7 more
wiley   +1 more source

Some Counterexamples to Separation of Variables

Journal of Differential Equations, 1995
An algebraic PDE system admits separation of variables if it has at least one differentially algebraic (DA) solution. Here a function is DA if there is a field of finite transcendence degree over \(\mathbb{C}\) that contains this function and all its partial derivatives.
Johnson, J., Reinhart, G.M., Rubel, L.A.
openaire   +2 more sources

Boundary value problems for fourth-order mixed type equation with fractional derivative

Electronic Journal of Differential Equations, 2016
In this work we study direct and inverse problems for fourth-order mixed type equations with the Caputo fractional derivative. Applying method of separation of variables we prove unique solvability of these problems.
Abdumauvlen S. Berdyshev, Bakhodir E. Eshmatov, Bakhtiyor J. Kadirkulov   +2 more
doaj  

Modelling stem cell differentiation related processes—A practical overview for biologists

FEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar, Xinqi Yan, Lucas F. Jansen Klomp, Stefano Schivo, Janine N. Post   +4 more
wiley   +1 more source

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source