Sentence examples for evolution of concentrations from inspiring English sources

The model consists of a system of nonlinear partial differential equations describing the spatiotemporal evolution of concentrations and densities of the cell types, extracellular matrix types and growth factors indispensable to the healing process.

The mathematical model we develop to describe such dynamics consists in a set of reaction diffusion advection equations ruling the evolution of concentrations and temperature coupled to Navier Stokes equation, written in a Hele Shaw approximation.

x ∈ ℝ n is the fully or partially measurable state of the system describing the time evolution of concentrations, and the input part Bu represents experimental perturbation (e.g. activation) of the genes.

The classical kinetic model is represented by a system of ordinary differential equations (ODE) simulating the evolution of concentrations of metabolites: (1) d c / dt = N   v (c, p ) here c = {c1, c2,..., cm} is the vector of m metabolite concentrations described by the model.

We show the evolution of concentration distributions along the TCP mixer for chaotic advection flow regimes.

The solution of the inverse problem, which relates a given set of flow parameter with the time evolution of concentration functions, is achieved via a Monte Carlo simulation procedure.

Since oscillation in the flow introduces much complexity into the transport process, little progress has been made to illustrate the evolution of concentration distribution.

For solute dispersion in a wind-driven current, presented in this paper is an analytical study of the evolution of concentration distribution.

Using a thermodynamically consistent model developed in the framework of classical irreversible thermodynamics, we quantitatively describe the drying kinetics and evolution of concentration and temperature profiles during the course of drying of the solvent.

The generic mathematical model used describes the coupled evolution of concentration of pathogens, plasma cells, antibodies and a numerical value that indicates the relative characteristic of a damaged organ due to the disease under the influence of external drugs.

The model is based on the definition of enantiomer-specific isotopologues and jointly predicts the evolution of concentration, enantiomer fractionation, as well as changes in stable isotope ratios of different elements.