Results 51 to 60 of about 2,236,935 (277)

Three-Dimensional Second-Order Rational Difference Equations: Explicit Formulas and Simulations

Mathematics
This paper studies a three-dimensional second-order rational difference system, which generalizes earlier scalar and bidimensional models. We derive explicit closed-form solutions for general initial conditions and identify special cases that simplify ...
Ahmed Ghezal, Hassan J. Al Salman, Ahmed A. Al Ghafli   +2 more
doaj   +1 more source

The Form of the Solutions of System of Rational Difference Equation

Journal of Mathematical Sciences and Modelling, 2018
In this article, we study the form of the solutions of the system of difference equations $x_{n+1}=((y_{n-8})/(1+y_{n-2}x_{n-5}y_{n-8}))$, $y_{n+1}=((x_{n-8})/(\pm1\pm x_{n-2}y_{n-5}x_{n-8}))$, with the initial conditions are real numbers.
E. M. Elsayed, Marwa M. Alzubaidi
doaj   +1 more source

The role and implications of mammalian cellular circadian entrainment

FEBS Letters, EarlyView.
At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
wiley   +1 more source

Crosstalk between the ribosome quality control‐associated E3 ubiquitin ligases LTN1 and RNF10

FEBS Letters, EarlyView.
Loss of the E3 ligase LTN1, the ubiquitin‐like modifier UFM1, or the deubiquitinating enzyme UFSP2 disrupts endoplasmic reticulum–ribosome quality control (ER‐RQC), a pathway that removes stalled ribosomes and faulty proteins. This disruption may trigger a compensatory response to ER‐RQC defects, including increased expression of the E3 ligase RNF10 ...
Yuxi Huang, Satoshi Hashimoto, Sota Ito, Chisato Kikuguchi, Miho Hoshi, Kiyoshi Yamaguchi, Yoichi Furukawa, Toru Suzuki, Toshifumi Inada   +8 more
wiley   +1 more source

Qualitative Behavior of the Solutions to Delay and Difference Equations

Вестник КазНУ. Серия математика, механика, информатика, 2018
It is noteworthy to observe that a first-order linear ordinary differential equation without delay does not possess oscillatory solutions. Therefore the investigation of oscillatory solutions is of interest for equations with delays or for the discrete
P. Ioannis
doaj   +1 more source

Continuous Symmetries of Difference Equations

, 2005
Lie group theory was originally created more than 100 years ago as a tool for solving ordinary and partial differential equations. In this article we review the results of a much more recent program: the use of Lie groups to study difference equations ...
Ablowitz M J, Ablowitz M J, Ablowitz M J, Ablowitz M J, Ablowitz M J, Aczel J, Aczel J, Adler V E, Ames W F, Anderson R L, Baĭkov V A, Baĭkov V A, Baĭkov V A, Bakirova M, Baumann G, Bluman G, Bluman G W, Bluman G W, Boiti M, Boutin M, Bruschi M, Bruschi M, Budd C, Byrnes G B, Calogero F, Cantwell B J, Cicogna G, Cicogna G, Decio Levi, DiBucchianico A, Dimakis A, Dodd R K, Dorodnitsyn V A, Dorodnitsyn V A, Dorodnitsyn V A, Dorodnitsyn V A, Durán A, Elaydi S, Faddeev L D, Fermi E Pasta J Ulam S, Fushchich V I, Fushchich V I, Fushchich W I, Gaeta G, Gaeta G, Gaeta G, Grammaticos B, Grammaticos B, Helgason S, Hereman W, Hernández Heredero R, Hernández Heredero R, Hernández Heredero R, Hernández Heredero R, Hernández Heredero R, Hietarinta J, Hietarinta J, Hill J M, Ibragimov N H, Ibragimov N H, Ibragimov N H, Ibragimov N H, Iserles A, Jacobson N, Jordan C, Kersten P H M, Kruskal M D, Lafortune S, Lamb J S W, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D, Levi D Gazeau J-P Kerner R Antoine J-P Métens S Thibon J-Y, Levi D Winternitz P Atakishiyev N M Seligman T H Wolf K B, Lie S, Lie S, Lie S, Lie S, Maeda S, Maeda S, Maeda S, Manakov S V, Martina L, Mikhailov A V, Milne-Thomson L M, Moody R V, Naimark M A, Newell A C, Niederer U, Nijhoff F Capel H W Hazewinkel M Capel H W de Jager E M, Nijhoff F W, Nijhoff F W, Nijhoff F W, Nijhoff F W, Nijhoff F W Papageorgiou V G Capel H W, Noether E, Novikov S, Olver P J, Ovsiannikov L V, Pavel Winternitz, Ramani A, Remoissenet M, Rodríguez M A, Rogers C, Roman S, Rota G C, Rota G C, Sahadevan R, Sahadevan R Byrnes G B Quispel G R W Levi D Vinet L Wintemitz P, Shabat A B, Sokolov V V, Steeb W-H, Stephani H, Stormark O, Suris, Tamizhmani K M, Thomas J W, Toda M, Toda M, Tzitzeica G, Tzitzeica G, Valiquette F, Winternitz P, Winternitz P, Winternitz P, Winternitz P, Winternitz P Corney S P Delbourgo R Jarvis P D, Winternitz P Levi D Winternitz P, Y-s Li, Zakharov V E   +154 more
core   +2 more sources

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

Multiple ETS family transcription factors bind mutant p53 via distinct interaction regions

FEBS Letters, EarlyView.
Mutant p53 gain‐of‐function is thought to be mediated by interaction with other transcription factors. We identify multiple ETS transcription factors that can bind mutant p53 and found that this interaction can be promoted by a PXXPP motif. ETS proteins that strongly bound mutant p53 were upregulated in ovarian cancer compared to ETS proteins that ...
Stephanie A. Metcalf, Nicholas F. Downing, Kaitlyn M. Mills, Samuel C. Metcalfe, Alexander E. Kritzer, Lindsey D. Mayo, Peter C. Hollenhorst   +6 more
wiley   +1 more source

Quasi Exactly Solvable Difference Equations

, 2007
Several explicit examples of quasi exactly solvable `discrete' quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable Hamiltonians of one degree of freedom.
Gendenshtein L. E., Ryu Sasaki
core   +1 more source