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In correspodence with Eric the name of the MCT was changed from Multi…
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… Channel to Multichannel in the documentation
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hannahlanzrath authored and schmoelder committed Jul 21, 2023
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.. _multi_channel_transport_model_config:

Multi Channel Transport model (MCT model)
Multichannel Transport model (MCT model)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

``UNIT_TYPE``
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.. _multi_channel_transport_model:

Multi Channel Transport model (MCT model)
Multichannel Transport model (MCT model)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



The Multi Channel Transport (MCT) model in CADET is based on a class of compartment models introduced by Jonas Bühler et al. :cite:`Buehler2014`, which was originally developed in the field of plant sciences.
The Multichannel Transport (MCT) model in CADET is based on a class of compartment models introduced by Jonas Bühler et al. :cite:`Buehler2014`, which was originally developed in the field of plant sciences.
There it is used to determine transport and storage parameters of radioactive labelled tracer molecules from positron emission tomography (PET) or magnetic resonance imaging (MRI) based experimental data.
The model represents main functions of vascular transport pathways: axial transport of the tracer, diffusion in axial direction, lateral exchange between compartments and storage of tracer in compartments. Here, the axial direction represents the length of the stem of the plant and the lateral dimension its cross section. In the MCT context, the compartments of the model class are also referred to as channels.

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.. _fig-model-class:
.. figure:: multi_channel_transport_model_class.png

Illustration of the Multi Channel Transport model class and relevant parameters.
Illustration of the Multichannel Transport model class and relevant parameters.
Figure taken from Jonas Bühler et al. :cite:`Buehler2014`.

The model class is defined by a system of partial differential equations:
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