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Cell cycle models with these or similar components have been constructed using differential equations [ 54, 59].
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The dry friction model accounting the combined kinematics is constructed using the differential Coulomb's law formulation for a small contact spot element.
The generalized displacement and force resultant components induced in the loaded SWCNT are obtained using the meshless collocation method, in which the shape functions of the primary variables are constructed using the differential reproducing kernel (DRK) method.
Deterministic and Stochastic models of the gene circuits corresponding to the negatively auto-regulated pathways with and without delay in repression were constructed using coupled differential equations and the modified Gillespie Algorithm [44], [70].
As shown in Fig. 6 a, a mathematical model was constructed using ordinary differential equations (ODEs) to describe the population dynamics of the system.
PBPK models are constructed using a series of differential equations that are parameterized with known physiological variables and represent a quantitative mechanistic framework by which the absorption, distribution, metabolism, and excretion (ADME) of new drugs can be described.
Note that many of the species listed in this model were not measured, and due to the large number of unknown kinetic parameters associated with each reaction (including absolute phospho-protein concentrations), a simplified model was constructed using a normalized Hill differential equation approach (Fig. 1d ).
The model was constructed using a system of ordinary differential equations of a form commonly used to model infection dynamics (Tillett, 1992).
The model was constructed using a series of coupled ordinary differential equations (ODEs).
The probabilistic model of uncertainties is constructed using a probabilistic approach yielding a stochastic differential equation with random initial conditions.
The dynamic stiffness matrix is constructed using the weak form of the governing differential equation in the frequency domain, where two different interpolating functions for the transverse displacement are used for the element formulation.
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