Results 81 to 90 of about 1,497,624 (355)

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

Partial Differential Equations [PDF]

, 1988
In this chapter, procedures will be developed for classifying partial differential equations as elliptic, parabolic or hyperbolic. The different types of partial differential equations will be examined from both a mathematical and a physical viewpoint to indicate their key features and the flow categories for which they occur.
openaire   +2 more sources

New solutions to a category of nonlinear PDEs

Frontiers in Physics
The nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. In order to solve certain nonlinear partial differential equation, the extended hyperbolic auxiliary
Bacui Li, Fuzhang Wang
doaj   +1 more source

On singular solutions of a multidimensional differential equation of Clairaut-type with power and exponential functions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
In the theory of ordinary differential equations, the Clairaut equation is well known. This equation is a non-linear differential equation unresolved with respect to the derivative.
Liliya Leonidovna Ryskina
doaj   +1 more source

Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions

, 2007
A microscopic heterogeneous system under random influence is considered. The randomness enters the system at physical boundary of small scale obstacles as well as at the interior of the physical medium.
A. Bensoussan, A. Cherkaev, A. Mikelić, A.K. Nandakumaran, A.K. Nandakumaran, B. Maslowski, B.L. Rozovskii, C. Timofte, D. Cioranescu, D. Cioranescu, D. Cioranescu, D. Cioranescu, D. Yang, E. Pardoux, G. Allaire, G. Allaire, G. Da Prato, G. Prato Da, G.D. Maso, H. Triebel, H. Watanabe, H.J. Kushner, I. Chueshov, J. Duan, J. Escher, J. Escher, J. Souza, J.L. Lions, J.P. Peixoto, Jinqiao Duan, K. Yosida, L.A. Caffarelli, M. Briane, M. Vanninathan, M.B. Taghite, M.L. Kleptsyna, N. Fusco, P.L. Lions, R. Vold, R.E. Langer, R.M. Dudley, S. Albeverio, S. Brahim-Otsmane, S. Wright, S.N. Antontsev, T. Hintermann, T.E. Duncan, V.A. Marchenko, V.V. Jikov, V.V. Zhikov, V.V. Zhikov, W. Wang, Wei Wang, X. Blanc, Z. Huang   +54 more
core   +2 more sources

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

FEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source

Ulam-Hyers stability of a parabolic partial differential equation

Demonstratio Mathematica, 2019
The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source

Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method

Journal of Ocean Engineering and Science, 2020
In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations.
Muhannad A. Shallal, Khalid K. Ali, Kamal R. Raslan, Hadi Rezazadeh, Ahmet Bekir   +4 more
doaj   +1 more source

Lie group classifications and exact solutions for time-fractional Burgers equation

, 2010
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations.
A.B. Malinowska, G. Jmnarie, G.C. Wu, G.C. Wu, G.C. Wu, G.W. Bluman, Guo-Cheng Wu, P.J. Olver, R.K. Gazizov, Z.G. Deng   +9 more
core   +1 more source

Cell wall target fragment discovery using a low‐cost, minimal fragment library

FEBS Letters, EarlyView.
LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan, Mathew Stanley, Olawale Raimi, Andrew T. Ferenbach, Helge C Dorfmueller, Daan M. F. van Aalten   +5 more
wiley   +1 more source