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Figure 4 | Journal of Cardiovascular Magnetic Resonance

Figure 4

From: Quantification of myocardial perfusion by cardiovascular magnetic resonance

Figure 4

Measured arterial input, impulse responses to arterial input and the tissue curve as a sum of impulse responses. a) For an illustration of the Central Volume Principle it is useful to consider the arterial input as a sequence of impulses (gray lines with circle at top), whose amplitudes reproduce the measured arterial input (red line). b) Each of the impulses in the arterial input generates an impulse response in the tissue, which are all identical, except that each is scaled according to the amplitude of the corresponding impulse in the arterial input, and each impulse response is shifted so that its start coincides with the location of the arterial input pulse. c) The total tissue response can be calculated as the sum of the contributions from each impulse response. This sum is the numerical equivalent of the convolution integral of the arterial input with the impulse response. For deconvolution one attempts to reverse the above process and estimate from the signal curves in (a) and (b) the form of the impulse response.

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