Sentence examples for vector of concentrations from inspiring English sources

β. l the computed vector of concentrations multiplied by β.l.

Here, c is a vector of concentrations of chemical species, D is a diagonal matrix of diffusion coefficients and f encodes the reaction terms between different species.

Here c ext is a vector of concentrations of extracellular metabolites, K ext a matrix of stoichiometric coefficients, D is the dilution rate, u ext is a vector of volumetric feeding rates, and r ext is the kinetic rate vector.

These changes are modeled by the following set of ordinary differential equations: (2) Where M EX is the vector of concentrations of extracellular metabolites in the medium, V EX is the vector of the respective specific consumption and production rates, and X V is the concentration of viable biomass in the medium.

For the case of biochemical reaction networks the state vector x t) is the vector of concentrations of the compounds, and input signals u(t) allow to model environmental changes (as e.g. ligand concentrations, external stimuli triggering a signaling cascade, or external metabolites).

We consider deterministic ODE models that take the form [ 30, 31] (1) where c = (c1,⋯, c N ) T is a vector of concentrations of N species and F(c) = (F1 c),⋯, F N (c)) T is a continuous and differentiable matrix function that gives the rate of change of the concentrations over time.

This leads to a linear FPE of the form (8) ∂P η →, t ∂t = − ∇ T J F η → + 1 2 ∇ T D F ∇ P η →, t, where η → = η → s, η → f and η → s and η → f are, respectively, the vectors of concentration fluctuations about the macroscopic concentrations of the slow and fast species.

For each particle, there is a unique region in which the vector of species concentrations determines that particle's parameters and hence its Markov process, but the concentrations in that region depend on the Markov processes of neighboring particles.

CytoSolve's requirement, therefore, in this aspect, is minimal: each sub-model or module must accept as input a vector of species concentrations at a particular time step, and provide an output vector of species concentrations at the next time step.

So one observes a vector of GHGs' concentrations as stocks: Z^{t}=bigl zeta _{1}^{t},ldots,zeta _{G}^{t}bigr).

In integrated form, Eq. (5) becomes Eq. (6): 6 with t as the vector of total concentrations of chemical moieties.