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Updated: Jun 19, 2026

Models and Methods to Evaluate Transport of Drug Delivery Systems Across Cellular Barriers
Published on: October 17, 2013
Endocytic Relay as a Potential Means for Enhancing Ligand Transport through Cellular Tissue Matrices: Analysis and
L Chu1, H S Wiley, D A Lauffenburger
1Department of Chemical Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801.
Mathematical modeling shows receptor-mediated endocytic trafficking can enhance peptide ligand transport through tissues. Key factors include matrix to intracellular diffusivity ratio, proteolysis rate, and degradation fraction.
Area of Science:
- Biophysics
- Mathematical Biology
- Tissue Engineering
Background:
- Peptide ligand transport in tissues faces challenges from cellular barriers and extracellular matrix.
- Understanding these transport mechanisms is crucial for drug delivery and developmental biology.
Purpose of the Study:
- To investigate if receptor-mediated endocytic trafficking can enhance peptide ligand transport through tissue.
- To develop a mathematical model simulating ligand flux in a two-phase tissue system (cell and matrix).
Main Methods:
- Modeled tissue as a packed bed reactor with distinct cell and matrix phases.
- Calculated steady-state flux of intact and degraded peptides through a 1D cell/tissue matrix.
- Analyzed the influence of environmental and molecular parameters on ligand transport.
Main Results:
- Ligand flux is significantly influenced by matrix to intracellular diffusivity ratio (D(m)/D(i)), extracellular proteolysis rate (k(prot)), and degradation fraction (f(1)).
- Enhancement is possible with D(m)/D(i) >= 1 at low degradation (f(1) <= 0.05) and no proteolysis.
- Higher degradation (f(1) up to 0.07) or significant proteolysis broadens the conditions for transport enhancement.
Conclusions:
- Receptor-mediated endocytosis can be a viable strategy to improve ligand transport in engineered tissues.
- Model provides insights into cytokine transport during embryonic development.
- Findings can inform strategies for delivering therapeutic ligands from controlled-release systems or engineered cells.
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