mingrisch / compartmentmodels

Tracer-kinetic models for DCE MRI
BSD 3-Clause "New" or "Revised" License
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2CX model #26

Closed mingrisch closed 9 years ago

mingrisch commented 9 years ago

Implementing this 4-parameter model into the package requires:

mingrisch commented 9 years ago

Parameterize according to Sourbron Buckley, http://iopscience.iop.org/0031-9155/57/2/R1

mingrisch commented 9 years ago

comparing the notations of my PhD thesis and the SB paper yields:

Lengthy calculations yield:

The residue function of the 2CX model in the SB is equivalent to the (admittedly simpler) residue function in my PhD thesis (says sage, please see here).

All in all, we should be o.k. with using the SB notation and parametrization.

mingrisch commented 9 years ago

Resolved by @AndreasMittermeier and me.

One day, we could change the notation to the buckley paper. However, this implementation is equivalent and slightly less confusing.