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|
| Type |
Poster Presentation |
| Area |
Physical Chemistry |
| Room No. |
Event Hall |
| Time |
4월 20일 (금요일) 11:00~12:30 |
| Code |
PHYS.P-152 |
| Subject |
Non-Markov Chemical Kinetics |
| Authors |
Jingyu Kang, Jaeyoung Sung1,*
Chemistry, Chung-Ang University, Korea
1Department of Chemistry, Chung-Ang University, Korea
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| Abstract |
The generality of the Poisson process has led to its utilization by researchers in the field of reaction kinetics, and there is numerous research constrained to the Poissonian paradigm. The quantitative analysis of kinetics has started to expand beyond this Markovian paradigm, however, all research on topic has assumed that either the creation or annihilation process is still Markovian in nature. In general, however, it is possible that both creation and annihilation process are non-Markov processes, and this case has recently been reported in biochemical reactions in the living cells. For example, mRNA in the eukaryotic system is created with fluctuating rate and begins to degrade only after the polyadenylate tails are consumed, which is a multi-step degradation process and, therefore, can only be a non-Markov process. Here, without Markovian restrictions in both the creation and annihilation processes, we propose a quantitative method to calculate the time correlation function of the product concentration and analyze the power spectrum, the measure of chemical fluctuations. We verified the analytic result through the simulation considering an example where the product is created and annihilated both catalyzed by enzymes but by different ones. We show how the creation rate correlation and non-Markov property of annihilation process contribute to the chemical fluctuations. |
| E-mail |
soar8nalra@gmail.com |
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121st General Meeting of the KCS