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Related Experiment Video

Updated: May 14, 2026

A Computational Modeling Approach to Investigate the Influence of Hyperthermia on the Tumor Microenvironment

A Computational Modeling Approach to Investigate the Influence of Hyperthermia on the Tumor Microenvironment

Published on: December 1, 2023

Thermodynamic model equations for heterogeneous multicomponent non-ionic solution transport in a multimembrane

A Slęzak¹, S Grzegorczyn, A Sieroń

¹Institute of Physics, Pedagogical University, Czestochowa, Poland.

Journal of Biological Physics

|January 25, 2013

Summary

A new non-equilibrium thermodynamic model describes solution transport across membranes. This model, validated for binary and ternary solutions, quantifies volume and solute fluxes, offering insights into membrane permeability coefficients.

Keywords:

Concentration boundary layers Kedem Katchalsky equations gravity effects membrane transport

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Published on: February 23, 2018

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Last Updated: May 14, 2026

A Computational Modeling Approach to Investigate the Influence of Hyperthermia on the Tumor Microenvironment

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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

Published on: February 23, 2018

Area of Science:

Thermodynamics
Membrane Science
Physical Chemistry

Background:

Understanding multi-component solution transport through membranes is crucial for various applications.
Existing models may not fully capture non-equilibrium conditions or heterogeneous systems.

Purpose of the Study:

To present a non-equilibrium thermodynamic model for n-component solution transport in m-membrane systems.
To define and relate hydraulic and diffusive permeability coefficients for membrane systems.

Main Methods:

Developed a two-equation model for volume and solute transport.
Defined hydraulic permeability, reflection, and diffusive permeability coefficients.
Verified the model using a double-membrane cell with binary and ternary solutions.

Main Results:

Presented equations for non-ionic and heterogeneous n-component solution transport.
Provided definitions and relations for membrane system coefficients.
Demonstrated model validity through experimental measurements of volume and solute fluxes.

Conclusions:

The presented non-equilibrium thermodynamic model effectively describes solution transport in heterogeneous membrane systems.
The model provides a framework for understanding and quantifying membrane transport properties.
Experimental validation confirms the model's applicability to binary and ternary solutions.