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A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates

A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates

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A stirred bath technique for diffusivity measurements in cell matrices.

T J Chresand¹, B E Dale, S L Hanson

¹Department of Agricultural and Chemical Engineering, Colorado State University, Fort Collins, Colorado 80523, USA.

Biotechnology and Bioengineering

|October 5, 1988

Summary

A new stirred bath method accurately measures solute diffusion in cell matrices. This technique immobilizes cells in agar gel, enabling effective diffusivity measurements for glucose and lactic acid.

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Area of Science:

Biochemical Engineering
Biomaterials Science
Transport Phenomena

Background:

Accurate determination of effective diffusivities in cell matrices is crucial for understanding mass transport in biological systems.
Existing methods may be limited by cell viability or matrix interactions.
Cellular metabolism can significantly alter solute diffusion, necessitating methods to control or account for it.

Purpose of the Study:

To develop and validate a stirred bath technique for measuring effective diffusivities in immobilized cell matrices.
To assess the suitability of agar gel as an immobilizing matrix with minimal solute diffusion interference.
To quantify the diffusivities of glucose and lactic acid in Ehrlich Ascites Tumor (EAT) cell matrices.

Main Methods:

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Cell immobilization in a dilute agar gel matrix.

Testing agar and collagen gels for solute diffusion interactions.

Utilizing glutaraldehyde treatment to quench cell metabolic activity.

Measuring effective diffusivities using a stirred bath apparatus.

Comparing experimental data with Maxwell's equation predictions.

Main Results:

Agar gel demonstrated minimal interaction with biological molecule diffusion.
Effective diffusivities of glucose and lactic acid were successfully measured in EAT cell matrices (20-45 vol % cell loading).
Glutaraldehyde treatment effectively inhibited cell metabolism while maintaining physical properties.
Experimental data showed favorable agreement with Maxwell's effective diffusion model.

Conclusions:

The stirred bath technique provides a reliable method for determining effective diffusivities in cell matrices.
Agar gel is a suitable matrix for cell immobilization in diffusivity studies.
The technique is applicable to both microbial and mammalian cell systems and can be used for free slurries.