Results 21 to 30 of about 6,287 (263)
Expectation propagation for large scale Bayesian inference of non-linear molecular networks from perturbation data. [PDF]
PLoS ONE, 2017 Inferring the structure of molecular networks from time series protein or gene expression data provides valuable information about the complex biological processes of the cell.
Zahra Narimani +4 more
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Mathematics, 2023 In this paper, we analytically study the two-dimensional unsteady irrotational flow of an ideal incompressible fluid in a half-plane whose boundary is assumed to be a linear sink.
Nikolay M. Zubarev
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Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation [PDF]
SIAM Journal on Mathematical Analysis, 2021 We consider state-dependent delay equations (SDDE) obtained by adding delays to a planar ordinary differential equation with a limit cycle. These situations appear in models of several physical processes, where small delay effects are added. Even if the delays are small, they are very singular perturbations since the natural phase space of an SDDE is ...
Jiaqi Yang +2 more
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Symmetries of th-Order Approximate Stochastic Ordinary Differential Equations
Journal of Applied Mathematics, 2012 Symmetries of th-order approximate stochastic ordinary differential equations (SODEs) are studied. The determining equations of these SODEs are derived in an Itô calculus context. These determining equations are not stochastic in nature.
E. Fredericks, F. M. Mahomed
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On construction of the comparison function of program motion in probable statement
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In the class of ordinary differential equations the following modification of the inverse problem of differential systems was previously considered: to construct both a set of systems of differential equations and a set of comparison functions for the ...
G.K. Vassilina, M.I. Tleubergenov
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A Ghost Perturbation Scheme to Solve Ordinary Differential Equations
, 2022 Abstract We propose an algebraic method that finds a sequence of functions that exponentially approach the solution of any second-order ordinary differential equation (ODE) with any boundary conditions. We define an extended ODE (eODE) composed of a linear generic differential operator that depends on free parameters, p, plus an ϵ perturbation ...
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Perturbation theorems for ordinary differential equations
Journal of Differential Equations, 1967 x’ =.f(4 4, (NJ x’ =“f@, 4 + g(4 4, (P) x’ =.f(4 4 + g(c 4 + h(t), (PI) where f(t, X) is continuous, satisfies a Lipschitz condition on some semicylinder, f(t, 0) = 0, and x = 0 is uniform asymptotically stable for (N). Let g(t, x) and h(t) be sufficiently smooth for local existence and uniqueness.
Strauss, Aaron, Yorke, James A
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Features of Oscillations in Adiabatic Oscillators with Delay
Моделирование и анализ информационных систем, 2013 In this paper, we describe the features of oscillations in adiabatic oscillators when the delay is introduced into the equation. We give a short description of the method of asymptotic integration of one class of linear delay differential systems in the ...
P. N. Nesterov, E. N. Agafonchikov
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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 +4 more
wiley +1 more source
On expansions for nonlinear systems Error estimates and convergence issues
Comptes Rendus. Mathématique, 2023 Explicit formulas expressing the solution to non-autonomous differential equations are of great importance in many application domains such as control theory or numerical operator splitting.
Beauchard, Karine +2 more
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