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Updated: Nov 11, 2025

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Modeling and Parameter Subset Selection for Fibrin Polymerization Kinetics with Applications to Wound Healing
Katherine J Pearce1, Kimberly Nellenbach2, Ralph C Smith1
1Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC, 27695-8205, USA.
This study introduces a new kinetic model for fibrin polymerization, crucial for wound healing. The developed method efficiently identifies key parameters, simplifying complex polymerization processes.
Area of Science:
- Biophysics
- Biochemistry
- Computational Biology
Background:
- Fibrin polymerization is essential for hemostasis and wound healing, involving fibrinogen conversion to fibrin by thrombin.
- Understanding fibrin matrix formation dynamics is critical for studying coagulation and bleeding disorders.
Purpose of the Study:
- To develop a cooperative enzyme kinetics model for in vitro fibrin matrix polymerization.
- To create a parameter subset selection technique for evaluating parameter identifiability in fibrin accumulation experiments.
Main Methods:
- Developed a kinetic model capturing interactions between fibrinogen, thrombin, fibrin, and intermediate complexes.
- Employed systematic analysis of eigenvalues/eigenvectors of the information matrix for parameter identifiability.
- Utilized a least squares objective function for optimization and simulations of fibrin accumulation.
Main Results:
- The developed approach significantly reduced objective function cost compared to traditional curve-fitting.
- Demonstrated the ability to integrate data subsets to enhance parameter identifiability evaluation.
- Successfully screened unidentifiable reaction rate parameters, enabling model simplification while maintaining low objective cost.
Conclusions:
- A single fibrin accumulation curve contains substantial information for kinetic modeling.
- The tailored model and parameter subset selection approach improves optimization and reduces complexity in polymerization studies.
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