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Combinatorics of giant hexagonal bilayer hemoglobins
1Department of Mathematics, Idaho State University, Pocatello 83209-8085, USA. hanin@isu.edu
Mathematical Biosciences
|February 1, 2000
Summary
This study uses mathematical models to analyze the structure of giant hexagonal bilayer hemoglobins (HBL Hb). Findings reveal symmetry properties and probable configurations, offering insights into hemoglobin
Area of Science:
- Biophysics
- Structural Biology
- Computational Biology
Background:
- Giant hexagonal bilayer hemoglobins (HBL Hb) exhibit complex spatial symmetry and structural heterogeneity.
- Understanding the linker-dodecamer configurations is crucial for characterizing HBL Hb structure.
Purpose of the Study:
- To apply combinatorial and probabilistic models to characterize spatial symmetry and structural heterogeneity in HBL Hb.
- To determine the most probable linker-dodecamer configurations for different linker types in HBL Hb.
Main Methods:
- Combinatorial and probabilistic modeling.
- Analysis of linker-dodecamer configurations for two and four linker types.
- Application of binomial distribution to analyze dodecamer pairing.
- Identification of the dodecamer substructure symmetry group as the dihedral group D6.
Main Results:
- Probable linker-dodecamer configurations were identified for HBL Hb with two and four linker types.
- The number of 'normal-marked' dodecamer pairs follows a binomial distribution.
- The dodecamer substructure of HBL Hb possesses D6 symmetry.
- The total dipole moment of the dodecamer substructure is zero under natural symmetry assumptions.
Conclusions:
- Mathematical models provide a framework for understanding HBL Hb structure and symmetry.
- The findings reveal specific symmetry properties (D6) and zero dipole moment for the dodecamer substructure.
- These insights have implications for the biological function and assembly of HBL Hb.