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The combined model equations include coefficients constant in periodicity direction and continuously slowly variable along axial coordinate.
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Sex differences were confirmed in combined models.
In summary, we combine the phenotypic model Equations (19– 20) with the MWC receptor model Equation (4– 5) and the flagellar motor switching model Equation (1– 3) to produce a simplified model of the bacterial chemotaxis system in the linear regime.
As indicated above, non-modelling approaches can be usefully combined with modelling approaches to improve the model equations.
The main goal is to predict the stress-strain curve under different strain rates using model equations that combine enough mathematical simplicity to allow their use in engineering problems with the capability of describing complex non-linear mechanical behaviour.
The main goal is to predict the rupture force using model equations that combine enough mathematical simplicity to allow their usage in engineering problems with the capability of describing a complex nonlinear mechanical behaviour.
The combined series-asymptotic expansions method is used to derive the simplified model equations.
This model combined with the equations of Navier and Hertz yields more realistic values of the bending and contact stresses.
Equations (1.1 - 1.10) are derived from combining the effect of turbulence on the time-averaged Navier-Stokes equations with the k-ε model equations.
They explain and combine numerical, analytical, dynamical systems and perturbation methods to produce a modern approach to the types of model equations that arise in neuroscience.
Furthermore, the higher value of the relaxation constant, kr, compared to the diffusion constant, kd, in the Peppas-Sahlin model (equation 3), combined with the low CBZ solubility, indicate the prevalence of the erosion vs swelling mechanism.
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