Development of a Simple Kinetic Mathematical Model of Aggregation of Particles or Clustering of Receptors
Abstract
:1. Introduction
2. Modeling Approaches
2.1. Aggregation Model
2.1.1. Model Equations
- The mechanism of fragmentation is assumed to be independent of the aggregate size.
2.1.2. Model Parameters
2.1.3. Platelet Aggregation Experiments
2.2. Clustering Model
2.2.1. Model Equations
2.2.2. Model Parameters
2.3. “2-Equation” Model
2.4. Methods for Parameter Estimation, Model Solution, and Comparison of the Models
3. Results
3.1. Description of Protein Aggregation Data
3.2. Description of Platelet Aggregation Data
3.3. Additional Restrictions on Parameter Values for “Aggregation Model”
3.4. Description of Receptor Clustering Data
3.5. Additional Restrictions on Parameter Values for “Clustering Model”
3.6. Features of Receptor Clustering Process Revealed by the Mathematical Models
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Conflicts of Interest
References
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Parameter | ArgEE Concentration, mM | Pearson Correlation Coefficient | ||
---|---|---|---|---|
50 | 100 | 700 | ||
k1 | 2.3 × 10−3 | 4.3 × 10−3 | 2.3 × 10−3 | −0.69 |
k−1 | 1.3 × 10−3 | 1.6 × 10−4 | 4.5 × 10−4 | −0.34 |
k2 | 8.6 × 10−4 | 7.1 × 10−4 | 2.7 × 10−4 | −0.98 |
k−2 | 0.052 | 0.022 | 1.1 × 10−3 | −0.85 |
k3 | 0.015 | 5.3 × 10−3 | 3.4 × 10−4 | −0.80 |
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Garzon Dasgupta, A.K.; Martyanov, A.A.; Filkova, A.A.; Panteleev, M.A.; Sveshnikova, A.N. Development of a Simple Kinetic Mathematical Model of Aggregation of Particles or Clustering of Receptors. Life 2020, 10, 97. https://doi.org/10.3390/life10060097
Garzon Dasgupta AK, Martyanov AA, Filkova AA, Panteleev MA, Sveshnikova AN. Development of a Simple Kinetic Mathematical Model of Aggregation of Particles or Clustering of Receptors. Life. 2020; 10(6):97. https://doi.org/10.3390/life10060097
Chicago/Turabian StyleGarzon Dasgupta, Andrei K., Alexey A. Martyanov, Aleksandra A. Filkova, Mikhail A. Panteleev, and Anastasia N. Sveshnikova. 2020. "Development of a Simple Kinetic Mathematical Model of Aggregation of Particles or Clustering of Receptors" Life 10, no. 6: 97. https://doi.org/10.3390/life10060097