Exact(5)
The operational equation can be further simplified by assuming that the volume of distribution of the nonspecifically bound tracer in both tissues is the same as that obtained using Eq. (4).
Although the simulations are not directly comparable to the present study (and the used one-compartment operational equation differs from ours), the qualitative agreement with our fitted K 1(f) curve is remarkable.
The operational equation defining tissue blood flow is given in Figure 2b,c, where M t) denotes the detected activity within a VOI and is made up of a vascular component given by V 0 C a(t) and an extra-vascular or tissue component M e(t), where V 0 denotes the vascular volume term, and C a(t), the arterial input term.
Autoradiograms were digitized (MCID Analysis, Interfocus Imaging Ltd ,Linton, Cambridge, UK), the concentration of C in each region of interest was determined, and rCPS was calculated by means of the operational equation of the method (Smith et al., 1988).
However, each well-meaning rule, regulation, advisory, design innovation or operational equation has met with only limited success as institutional, organisational, governmental and national barriers, beyond our apparent control or influence, have served to blunt, modulate, dissolve or simply ignore the product of our science.
Similar(55)
The operational equations apply to the six- or seven-point octahedron.
It is well known that various interpolation inequalities play an important role in the study of operational equations, partial differential equations, and variation problems (see, e.g., [1 6]).
Non-linear analytical techniques are adopted to solve for the rate constants K 1 and k 2. Figure 2 Spectral analysis model and operational equations.
Nine data in cubical array can be interpolated by means of operational equations that use sines and cosines or exponential forms.
Going back to the actual magnetisation M t) (see Equation 3), we obtain the following operational equations modeling the measured relaxation curves: M s ( t ) = M 0 · 1 − 2 · e − ρ s t M g ( t ) = M 0 · 1 − 2 · e − ρ g t.
This definition makes it very natural to adopt the theory of operational differential equations (Lions [8]) and gives an abstract variational formulation of the fractional diffusion equation.
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