Reconstruction deconvolution model

Depending on the vendor of the scanner, mainly two different mathematical reconstruction models are used for analysing PCT—the maximum slope/gradient model (e.g. Siemens and Vitrea) and the deconvolution model (e.g. GE and Toshiba). Both models provide parameter maps of cerebral blood flow (CBF) and relative cerebral blood volume (rCBV). In addition, the time-to-peak (TTP, maximum slope model) or the mean-transit-time (MTT, deconvolution model) are shown. 

When we speak of mathematical models for biology, we usually refer to formulae (such as the Hardy-Weinberg theorem, or the Lotka-Volterra equations) that effectively describe some features of living systems. In our case, embryonic development is not described by integrals and deconvolutions, and the formulae of the reconstruction algorithms cannot be a direct description of what happens in embryos. There is however another type of mathematical model. The formulae of energy, entropy and information, for example, apply to all natural processes, irrespective of their mechanisms, and at this more general level there could indeed be a link between reconstruction methods and embryonic development. For our purposes, in fact, what really matters are not the formulae per se, but... 

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