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A mathematical model was constructed to simulate the bovine oestrous cycle by using nonlinear differential equations to describe the biological mechanisms which regulate the cycle.
Modeling of the XlnR regulon is explored by using nonlinear differential equations and Hill functions for the transcription and linear reaction kinetics for the translation process.
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This limitation could be addressed by using nonlinear cost functions.
Kinetic parameters were obtained by using nonlinear regression.
The kinetic parameters were refined by using nonlinear regression.
In all three steps we use nonlinear partial differential equations.
Two fractions of plasma membranes, PM-I (approximate d = 1.13 g/cm3) and PM-II (approximate d = 1.16 g/cm3) were isolated under hypotonic homogenization and fractionation conditions (1mM NaHCO3, 5mM dithiothreitol, pH 7.5) by using differential centrifugation and nonlinear sucrose gradient centrifugation techniques.
The radial basis function neural networks are used to approximate the unknown nonlinear functions obtained by using Ito differential formula and Young׳s inequality.
The nonlinear governing equations of the beam on an elastic foundation are derived within the framework of the first-order shear deformation beam theory then are converted into a nonlinear algebraic system by using the differential quadrature method.
In Section 4, numerical solutions of nonlinear diffusion equations are obtained by using polynomial differential quadrature method.
The nonlinear governing equations and boundary conditions are derived by using the Hamilton principle and discretized by using the differential quadrature (DQ) method.
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