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With this formulation, the evolution of allelic frequencies, and thus the evolution of alternative splicing, in (infinitely) large populations can be studied by classical equations of deterministic selection.
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In this case, the most probable path to extinction can be obtained by solving the classical equations of motion that dominate a path integral representation of the stochastic neural field in the weak noise limit.
The most probable path to extinction can then be obtained by solving the classical equations of motion that dominate the path integral representation in the weak noise limit; these equations take the form of nonlocal Hamilton equations in an infinite-dimensional phase space (Section 6).
The derivatives of the potential energy-surface are determined analytically which ensures an accurate integration of classical equations of motion by a velocity Verlet algorithm.
The classical equation of "life = nature + nurture" had left out chance.
Solutions of a classical equation of motion, such as the equation for charged spinor fields, represent a classical charge distribution.
The classical equation of motion of the HOEIM is the same as that of the damped harmonic oscillator characterized by a damping constant γ.
The modal diameter of the size distribution can be predicted by the classical equations for particle growth in supersaturated media.
It is found that the extent of the BBL in the non-circular case is 2.5 4 times longer than that predicted by the classical equation, however, the 'intensity' of the bending boundary layer is reduced.
These expressions represent an extension to more concentrated mixtures of the classical equations by van Krevelen and Hoftijzer.
The fractional Lotka-Volterra equations are obtained from the classical equations by replacing the first-order time derivatives by the derivatives of fractional order.
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