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Albumin diffusivity coefficient estimation in imitated porous structure of interstitial space by integration of albumin diffusion model (ADM) to electrical impedance tomography (EIT)

Albumin diffusivity coefficient DIa in imitated porous structure of interstitial space has been estimated by means of the integration of albumin diffusion model (ADM) to electrical impedance tomography (EIT) (iADM-EIT) under five different porosity ϕ conditions (from ϕ1= 0.922 to ϕ5= 0.990) for transport phenomena quantification. The iADM-EIT was conducted by applying an iterative curve-fitting between spatio-temporal albumin concentration CIa derived from ADM and spatio-temporal distribution of conductivity difference Δσ reconstructed by EIT. The essential point of the iADM-EIT is the quantification of experimental CIexa from Δσ by establishing a constitutive relationship among CIexa , Δσ , and ϕ . ADM is developed based on Fick’s second law implemented in Krogh tissue cylinder. EIT is performed to image the Δσ caused by increase of CIa due to albumin diffusion phenomenon from a capillary to the imitated porous structure. The imitated porous structure is manufactured with agarose gel in a dynamic phantom including a capillary. As a result, the relative albumin diffusivity coefficient DIa/D0a ( D0a : free diffusivity of albumin coefficient) is increased with the increase of ϕ in the range from 0.271 to 0.694, which are correspondent to the literature data with percent average relative error δ   = 6.83 ± 2.72%.