dcmri.conc_plug#

dcmri.conc_plug(J, T, t=None, dt=1.0, solver='interp')[source]#

Indicator concentration inside a plug flow system.

See section Plug flow for more detail.

Parameters:

  • J (array_like) – the indicator flux entering the system.

  • T (float) – mean transit time of the system. Any non-negative value is allowed, including \(T=0\) and \(T=\infty\), in which case the compartment is a trap.

  • t (array_like, optional) – the time points of the indicator flux J, in the same units as T. If t=None, the time points are assumed to be uniformly spaced with spacing dt. Defaults to None.

  • dt (float, optional) – spacing between time points for uniformly spaced time points, in the same units as T. This parameter is ignored if t is explicity provided. Defaults to 1.0.

  • solver (str, optional) – solver for the system, either ‘conv’ for explicit convolution with a discrete impulse response (slow) or ‘interp’ for interpolation (fast). Defaults to ‘interp’.

Returns:

Concentration as a 1D array.

Return type:

numpy.ndarray

See also

res_plug, prop_plug, flux_plug

Example

>>> import dcmri as dc
>>> t = [0,5,15,30,60]
>>> J = [1,2,3,3,2]
>>> dc.conc_plug(J, 5, t)
array([ 0.        ,  6.38888889, 18.61111111, 22.5       , 16.25      ])