Development of a Simple Kinetic Mathematical Model of Aggregation of Particles or Clustering of Receptors
| Autor: | Anastasia N. Sveshnikova, Alexey A. Martyanov, Mikhail A. Panteleev, Aleksandra A. Filkova, Andrei K. Garzon Dasgupta |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
0301 basic medicine
computational modeling Kinetics 02 engineering and technology General Biochemistry Genetics and Molecular Biology Article 03 medical and health sciences Simple (abstract algebra) Cluster (physics) Cluster analysis lcsh:Science Ecology Evolution Behavior and Systematics Physics Mathematical model particle aggregation Paleontology Experimental data Smoluchowski coagulation 021001 nanoscience & nanotechnology Particle aggregation 030104 developmental biology Space and Planetary Science lcsh:Q Receptor clustering 0210 nano-technology Biological system receptor clustering |
| Zdroj: | Life Volume 10 Issue 6 Life, Vol 10, Iss 97, p 97 (2020) |
| ISSN: | 2075-1729 |
| DOI: | 10.3390/life10060097 |
| Popis: | The process of clustering of plasma membrane receptors in response to their agonist is the first step in signal transduction. The rate of the clustering process and the size of the clusters determine further cell responses. Here we aim to demonstrate that a simple 2-differential equation mathematical model is capable of quantitative description of the kinetics of 2D or 3D cluster formation in various processes. Three mathematical models based on mass action kinetics were considered and compared with each other by their ability to describe experimental data on GPVI or CR3 receptor clustering (2D) and albumin or platelet aggregation (3D) in response to activation. The models were able to successfully describe experimental data without losing accuracy after switching between complex and simple models. However, additional restrictions on parameter values are required to match a single set of parameters for the given experimental data. The extended clustering model captured several properties of the kinetics of cluster formation, such as the existence of only three typical steady states for this system: unclustered receptors, receptor dimers, and clusters. Therefore, a simple kinetic mass-action-law-based model could be utilized to adequately describe clustering in response to activation both in 2D and in 3D. |
| Databáze: | OpenAIRE |
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