Results 41 to 50 of about 6,274 (271)
Bifurcation of multi-bump homoclinics in systems with normal and slow variables
Electronic Journal of Differential Equations, 2000 Bifurcation of multi-bump homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Feckan
doaj
MathematicsThis study presents a differential geometric framework for Hamiltonian systems expressed in terms of first-order differential equations. For systems governed by second-order ordinary differential equations on tangent bundles, such as Euler–Lagrange ...
Yuma Hirakui, Takahiro Yajima
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Stability of solutions for systems of delayed parabolic equations
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The study is devoted to the analysis of stability in the sense Lyapunov steady state solutions for systems of linear parabolic equations with coefficients depending on time, and with delays depending on time.
Il'ya V. Boykov
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Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
wiley +1 more source
Reducing metastable continuous-space Markov chains to Markov chains on a finite set
We consider continuous-space, discrete-time Markov chains on $\mathbb{R}^d$, that admit a finite number $N$ of metastable states. Our main motivation for investigating these processes is to analyse random Poincar\'e maps, which describe random ...
Berglund, Nils
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Малые возмущения стохастических дифференциальных уравнений со степенными коэффициенами
, 2016 Проблематика. Випадкові збурення звичайних диференціальних рівнянь розглядались у роботах Бафіко (1980), Бафіко, Балді (1982), Делару, Фландолі (2014), Делару, Фландолі, Вінченці (2014), Крикун, Махно (2013), Пилипенко, Проске (2015).
Приходько, Ю. Е. +2 more
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FEBS Open Bio, EarlyView.Activation of the mitochondrial protein OXR1 increases pSyn129 αSynuclein aggregation by lowering ATP levels and altering mitochondrial membrane potential, particularly in response to MSA‐derived fibrils. In contrast, ablation of the ER protein EMC4 enhances autophagic flux and lysosomal clearance, broadly reducing α‐synuclein aggregates.
Sandesh Neupane +11 more
wiley +1 more source
The stability of Cohen–Grossberg neural networks with time dependent delays
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The study is devoted to the analysis of stability in the sense Lyapunov Cohen-Grossberg neural networks with time-dependent delays. To do this, we study the stability of the steady-state solutions of systems of linear differential equations ...
Il'ya V. Boykov +2 more
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Robust Controllability of Non-Stationary Differential-Algebraic Equations [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 We consider linear time-varying system of first order ordinary differential equations with identically degenerate matrix of the derivative of the unknown function. Such systems are called differential-algebraic equations (DAE).
P.S. Petrenko
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FEBS Open Bio, EarlyView.Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source