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The dimensional concentrations in the figure were obtained by multiplying x in Equations (4a)–(4d), the dimensionless variable representing cAMP concentrations, by 24.95 fmol·10−6 cells; and multiplying time, given by dimensionless variable t, by.038 minutes.
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The solution is characterized by the (adimensional) concentration u ( μ, t ) = ( c − c init ) / c inlet, being c the dimensional concentration, c init the initial dimensional concentration (at t = 0 ), and inlet the dimensional concentration imposed at the inflow (at every time step).
In this work, a magnetic resonance (MR) imaging method for accelerating the acquisition time of two dimensional concentration maps of different chemical species in mixtures by the use of compressed sensing (CS) is presented.
After calculation of the molecular concentration fields from the PLIF-images, normalized non-dimensional concentrations are determined.
Consider a system consisting of K biochemical reactions, the dynamics of which is determined by a system of N ordinary differential equations: (1) d y (t ) d t = g (y (t ) ) = ∑ r = 1 R s r F r (y ) here y is the N-dimensional concentrations vector, s r(r = 1,..., R) are the N-dimensional stoichiometric vectors and F r y) is the rate of the r-th reaction.
Two-dimensional concentration data is temporally rearranged to reconstruct a quasi tri-dimensional concentration wake.
Singular surfaces are identified in the three-dimensional concentration space.
The mineral content assessment was performed by two-dimensional concentration mappings of calcium, zinc, and strontium.
The two-dimensional concentration profile along the membrane, together with the corresponding permeate flux is obtained.
Following calculating the predicted diamorphine concentration vector, the vector is refolded into a two-dimensional concentration map for visual inspection of the parcel for drug detection.
This method is conveniently used to accurately predict the two-dimensional concentration evolution characteristic of peak concentration position and duration.
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