[POS] Biomathematics

[POS-59] Measure-theoretic probability theory
for molecular biology

*Ryoichi Sato¹, Masami Yokota Hirai¹ (1. RIKEN, CSRS (Japan))

Keywords:

Molecular biology,Measure-theoretic probability,in vivo,Biochemical reactions,Systems biology

Living organisms are built from various biomolecules and their interactions. Although molecular biology studies have discovered numerous molecules and interactions, the full picture of the biological system is still unclear. This is partly because the biological systems are not as precise as machines. For example, even organisms with the same genome can vary in their phenotypes depending on the individual or environment. Researchers cannot remove such a random element from the experimental samples; therefore, we generally analyze the data statistically. In addition, the behavior of numerous molecules in vivo is potentially probabilistic like statistical mechanics. However, conventional molecular biology does not directly focus on these probabilistic phenomena, to avoid uncertain explanation. This makes it hard to understand the stochastic behavior of large biological systems. In this study, we used a molecular biological perspective based on measure-theoretic probability theory to explain living organism's phenomena. Specifically, we defined a probability space using molecule sets as elements and analyzed the behavior of in vivo reactions statistically. Comparison with experimental data revealed characteristics of the probability space.We would like to discuss potential future research on the probabilistic behavior of biological systems based on the probability spaces.