This paper describes a table-based behavioral modeling method and an efficient transient simulation method for oversampled MEMS systems. A system is represented by a set of coupled ordinary differential equations (ODEs) numerically described by table-based macromodels. Cubic spline interpolation is used to evaluate the model functions. The instant settling approximation and the explicit ODE sol...

Ecosystem modeling is traditional done using flexible, agent based models, or by using ordinary differential equations to estimate behavior over large populations. Both of these approaches have positive and negative aspects. The DEVS modeling system is a discrete event modeler that may be able to combine the positive aspects of discrete event simulation with the ability to run giant simulations...

A sharp TH1/TH2 dichotomy has often been used to define the effects of cytokines on autoimmune diseases. However contradictory results in recent research indicate that the situation may be more complex. Here, we build a simple mathematical model aimed at settling the contradictions. The model is applied using Ordinary Differential Equations (ODE). We show here that a TH1/TH2 paradigm is only an...

GOAL: The NTW package allows the computation of the interaction network of n genes (A, nxn) based on m independent experiments collecting gene expression profiles (X, nxm) with or without the associated transcriptional pertubation matrix (P, nxm, contains the direct targets of each of the m perturbation done on the system). The approach is based on ordinary differential equations (ODE) and 3 op...

This paper is concerned with a class of functional differential equations whose argument transforms are involutions. In contrast to the earlier works in this area, which have used only involutions with a fixed point, we also admit involutions without a fixed point. In the first case, an initial value problem for a differential equation with involution is reduced to an initial value problem for ...

General linear systems of delay differential-algebraic equations (DDAEs) of arbitrary order are studied in this paper. Under some consistency conditions, it is shown that every linear highorder DAE can be reformulated as an underlying high-order ordinary differential equation (ODE) and that every linear DDAE with single delay can be reformulated as a high-order delay differential equation (DDE)...

The problem of having ordinary differential equations (ODE) whose coefficients are unknown functions is frequent in several fields. Sometimes, it possible to obtain samples the values these different instants or spatial points. present paper presents a methodology for numeric solving ODE. There approximations specific cases equations, especially case where parameters correspond constants. Other...

A bstract We study the WKB analysis of solutions to linear problem for a modified affine Toda field equation, which is equivalent higher-order ordinary differential equation (ODE) studied in ODE/IM correspondence. After gauge transformation, we diagonalize flat connection reduce latter set independent first-order equations. explicitly perform this procedure classical Lie algebras with lower ran...

Finite Element Analysis (FEA) has been widely used to generate simulations of complex nonlinear systems. Despite its strength and accuracy, FEA usually two limitations: (i) running high-fidelity often requires high computational cost consumes a large amount time; (ii) is deterministic method that insufficient for uncertainty quantification when modeling systems with various types uncertainties....

This paper considers initial value problems for ordinary differential equations (ODEs), where some of the data is uncertain and given by intervals as is the case in many areas of science and engineering. Interval methods provide a way to approach these problems, but they raise fundamental challenges in obtaining high accuracy and low computation costs. This work introduces a constraint satisfac...