Cerebral Blood Flow: Mathematical Models, Instrumentation, by Aldo Rescigno (auth.), Aldo Rescigno, Andrea Boicelli (eds.) PDF

By Aldo Rescigno (auth.), Aldo Rescigno, Andrea Boicelli (eds.)

ISBN-10: 1468455656

ISBN-13: 9781468455656

ISBN-10: 1468455672

ISBN-13: 9781468455670

The NATO complicated examine Institute on "Cerebral Blood movement: Mathematical versions, Instrumentation, and Imaging concepts" used to be held in L'Aquila, Italy, June 2-13, 1986. Contributions to this software have been acquired from the collage of L'Aquila, Consiglio Nazionale delle Ricerche, Siemens Elettra S.p.A., and Bracco S.p.A. contemporary experiences of the cerebral blood movement have lagged at the back of research of different parameters resembling glucose usage, transmitter distribution, and precursors. This complex examine Institute attempted to fill this hole by means of interpreting intimately diversified actual suggestions corresponding to Autoradiography (including Double-Tracer car­ radiography and hugely particular tracers as Iodoantipyrine, Micro­ spheres), unmarried Photon Emission Computed Tomography, Nuclear Magnetic Resonance. every one procedure used to be analyzed with reference to its precision, answer, reaction time. a substantial a part of this Institute was once dedicated to the maths of CBF dimension, in its points, i.e. the modeling of the underlying kinetic process and the statistical research of the knowledge. The modeling equipment proposed integrated the improvement of a differential algebra wherein the differential and critical equations concerned should be solved by way of easy algebraic equipment, together with graph­ theoretical ones; the statistical tools proposed integrated the representation of other parametrizations of attainable use within the interpretation of experimental results.

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Additional info for Cerebral Blood Flow: Mathematical Models, Instrumentation, and Imaging Techniques

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Figure 5. };;;_j Standard (exponential) representation of a generalized two-compartment model with Erlang retention times. approach utilizes (n 1+n 2 ) so-called ·pseudo-compartments· which are not envisioned to correspond to physical subdivisons of the compartment but which merely constitute a mathematical artifice to solve the system. Letting W.. (t) denote the probability that a particle originating in pseudocompartme~f i at t = 0 is in j at time t, one has the relationships P11 (t) n1 1: j=1 W1j (t) (23) n 1+n 2 Wij(t) P12(t) = 1: j=n+1 Clearly, the usual initial condition of p,,(O) = , is transformed into W11 (0) = 1 and W1 ,(0) = 0 for all j > 1.

The advantage of [14C]deoxyglucose is that, because of its stable products, it permits the prolongation of the experimental period to times when inaccuracies in rate constants have little effect on the final result. It should be noted, however, that in pathological conditions, such as severe ischemia or hyperglycemia, the rate constants may fall far OPERATIONAL EQUATION: Ci(T) - k;e-(k 2 + k;)T {C p e(k2 + k3 lt dt o R·1 ~ U « 45 ci w Cl.. J 0 0 Cl.. ) Fig. 8. Influence of time and rate constants, (k2* + k3*)' on integrated precursor pool specific activit~ in anormal conscious rat given an intravenous pulse of 50 ~Ci of [1 C]deoxyglucose at zero time.

7). A calibration curve of the relationship between optical density and tissue 14C concentration for each film is obtained by densitometric measurements of the portions of the film representing the various standards. The local tissue concentrations are then 47 determined from the calibration curve and the optical densities of the film in the regions representing the cerebral structures of interest. Local cerebral glucose utilization is calculated from the local tissue concentrations of 14C and the plasma [14 C]DG and glucose concentrations according to the operational equation (Fig.

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Cerebral Blood Flow: Mathematical Models, Instrumentation, and Imaging Techniques by Aldo Rescigno (auth.), Aldo Rescigno, Andrea Boicelli (eds.)

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