A method is provided, comprising: obtaining, for a chromatography machine including a first dispersed plug flow reactor (DPFR) and a continuous stirred tank reactor (CSTR) prior to a column, and a second DPFR after the column, geometric measurements associated with the second DPFR; generating, by a processor, transport model parameters for a transport model associated with the second DPFR based on the geometric measurements; feeding a tracer molecule into the chromatography machine; capturing one or more tracer molecule measurements based on the tracer molecule traveling through the chromatography machine; and estimating, by the processor, based on the transport model associated with the second DPFR and the one or more tracer molecule measurements based on the tracer molecule traveling through the chromatography machine, one or more transport model parameters for a transport model associated with the first DPFR and the CSTR.