| Autor: |
Sarbaz H. A. Khoshnaw, Hemn M. Rasool |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Mathematical Methods and Modelling in Applied Sciences ISBN: 9783030430016 |
| DOI: |
10.1007/978-3-030-43002-3_6 |
| Popis: |
This paper reviews some mathematical models of biochemical reaction networks. The models contain a large number species and reactions. This is a difficult task and it requires some effective computational tools. Techniques of model reduction are important approaches for minimizing the number of elements. One of the classical and common techniques of model reduction is quasi equilibrium approximation (QEA). According to this approach, the fast reactions simply reach equilibrium very fast. It allows one to classify the model reaction rates into slow and fast terms. This study suggest QEA technique to simplify and calculate analytical approximate solutions for non–competitive inhibition enzymatic reactions in different cases. On the other hand, the suggested method may not work very well analytically with higher dimensional biochemical networks. As a result, we propose an algorithm to identify slow and fast reactions in complex systems. The proposed algorithm provides a great step further in developing QEA technique. This is applied to dihydrofolate reductase (DHFR) cell signaling pathways. The algorithm would be easily applied by biologists and chemists for various purposes such as identifying slow–fast reactions and critical model elements. Finally, computational simulations show that many cell signalling pathways can reach equilibrium in a short interval of time. Interestingly, all reactions mainly become slow for a long range of time. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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