Results 71 to 80 of about 20,465 (306)
Existence and multiplicity results for homoclinic orbits of Hamiltonian systems
Electronic Journal of Differential Equations, 1997 Homoclinic orbits play an important role in the study of qualitative behavior of dynamical systems. Such kinds of orbits have been studied since the time of Poincare.
Chao-Nien Chen, Shyuh-Yaur Tzeng
doaj
Stochastic calculus of variations
, 1981 A theory of stochastic calculus of variations is presented which generalizes the ordinary calculus of variations to stochastic processes. Generalizations of the Euler equation and Noether's theorem are obtained and several conservation laws are discussed.
Yasue, Kunio
core +1 more source
FEBS Letters, EarlyView.In this study, we found that human cervical‐derived adipocytes maintain intracellular iron level by regulating the expression of iron transport‐related proteins during adrenergic stimulation. Melanotransferrin is predicted to interact with transferrin receptor 1 based on in silico analysis.
Rahaf Alrifai +9 more
wiley +1 more source
Periodic Solutions for a Class of 2n-Order Ordinary Differential Equations
MathematicsPeriodic solutions of high-order nonlinear differential equations are fundamental in dynamical systems, yet they remain challenging to establish with traditional methods.
Wenjin Li, Jiaxuan Sun, Yanni Pang
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Notions of affinity in calculus of variations with differential forms
Ext-int. one affine functions are functions affine in the direction of one-divisible exterior forms with respect to the exterior product in one variable and with respect to the interior product in the other.
Bandyopadhyay, Saugata, Sil, Swarnendu
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Calculus of Variations and its Applications [PDF]
, 2015 U ovome radu ukratko ćemo se upoznati sa osnovama varijacijskog računa. Bavit ćemo se problemom traženja lokalnog minimuma odredenog funkcionala na način da tražimo nužne i dovoljne uvjete postojanja ekstrema tog funkcionala.
Radojičić, Una
core
Tau acetylation at K331 has limited impact on tau pathology in vivo
FEBS Letters, EarlyView.We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
FEBS Letters, EarlyView.A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
The classical theory of calculus of variations for generalized functions
Advances in Nonlinear Analysis, 2017 We present an extension of the classical theory of calculus of variations to generalized functions. The framework is the category of generalized smooth functions, which includes Schwartz distributions, while sharing many nonlinear properties with ...
Lecke Alexander +2 more
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FEBS Letters, EarlyView.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