Medical Imaging Interaction Toolkit  2018.4.99-b585543d
Medical Imaging Interaction Toolkit
mitkTwoCompartmentExchangeModel.h File Reference

Go to the source code of this file.

Classes

class  mitk::TwoCompartmentExchangeModel
 Implementation of the analystical model function of the Physiological Pharmacokinetic Brix model, using an Aterial Input Function The Model calculates the Concentration-Time-Curve as a convolution of the Aterial Input funciton CA(t) and a tissue specific residue function R(t). The Residue funktion consists of two parts: The Residue funktion Qp(t) of the Blood Plasma p and the residue funktion Qi(t) of the interstitial volume I. Ctotal(t) = vp * Cp(t) + fi * Ci(t) = [vp * Qp(t) + fi * Qi(t)] conv CA(t) = Qtotal(t) conv CA(t) where vp=Vp/VT and fi=Vi/VT are the portion of Plasma/interstitial volume Vp/VI of the total volume VT respectively. The Residuefunctions are described by Qp(t) = F/Vp * PS/Vp * 1/(l2 - l1) [ µ2 exp(l1*t) - µ1 exp(l2*t)] sig(t) Qi(t) = F/Vp * PS/Vi * 1/(l1 - l2) [ exp(l1*t) - exp(l2*t)] sig(t) = F/Vp * PS/Vp * vp/fi * 1/(l1 - l2) [ exp(l1*t) - exp(l2*t)] sig(t) with l1/2 = -1/2 (PS/Vp * vp/fi + PS/Vp + F/Vp) +/- sqrt((PS/Vp * vp/fi + PS/Vp + F/Vp)² - 4* F/Vp * PS/Vp * vp/fi) µ1/2 = F/Vp * Vp/PS + 1 + Vp/PS* l1/2. More...
 

Namespaces

 mitk
 DataCollection - Class to facilitate loading/accessing structured data.