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A gel as an array of channels
1Department of Chemistry and Biochemistry, University of California (San Diego), La Jolla 92093-0317, USA. bhzimm@ucsd.edu
Electrophoresis
|June 1, 1996
Summary
We studied charged molecules moving through a gel-like channel network under an electric field. A simplified model effectively predicts molecule mobility, even with surface roughness, by accounting for traps and bumps.
Area of Science:
- Physics
- Materials Science
- Physical Chemistry
Background:
- Charged molecules (probes) interact with gel channel networks, experiencing a position-dependent free energy.
- This free energy landscape, characterized by roughness, influences probe movement under an electric field.
- Understanding these interactions is crucial for applications involving molecule transport in complex media.
Purpose of the Study:
- To theoretically model the mobility of charged probes in a two-dimensional channel network under an electric field.
- To compare two models: one with all channels open (realistic) and one with only parallel channels open (simplified).
- To assess the impact of free energy landscape roughness on probe mobility in both models.
Main Methods:
- Developed two theoretical models for probe transport through a channel network.
- Model 1: Realistic, all channels open, requiring iterative solutions.
- Model 2: Simplified, only parallel channels open, allowing for simpler analytical solutions.
Main Results:
- Probe mobility decreases with increasing free energy landscape roughness in both models.
- The simplified model (Model 2) shows a larger mobility reduction for the same roughness compared to the realistic model (Model 1).
- In Model 2, both 'bumps' (high energy) and 'traps' (low energy) impede mobility, while in Model 1, only traps are significant due to bypass channels.
Conclusions:
- The simplified model (Model 2) can effectively approximate the behavior of the more realistic model (Model 1).
- Adjusting the simplified model by removing 'bumps' allows its predictions to align with the realistic model.
- This suggests that simplified models are valuable for studying charged probe dynamics in complex media, reducing computational complexity.
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