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Ubiquity of log-normal distributions in intra-cellular reaction dynamics

View Article: PubMed Central - PubMed

ABSTRACT

The discovery of two fundamental laws concerning cellular dynamics with recursive growth is reported. Firstly, the chemical abundances measured over many cells were found to obey a log-normal distribution and secondly, the relationship between the average and standard deviation of the abundances was found to be linear. The ubiquity of these laws was explored both theoretically and experimentally. By means of a model with a catalytic reaction network, the laws were shown to exist near a critical state with efficient self-reproduction. Additionally, by measuring distributions of fluorescent proteins in bacteria cells, the ubiquity of log-normal distribution of protein abundances was confirmed. Relevance of these findings to cellular function and biological plasticity is briefly discussed.

No MeSH data available.


The number distribution of the molecules of chemical abundances of our model. Distributions were plotted for several chemical species with different average molecule numbers. The data were obtained by observing 178800 cell divisions.
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f1-1_25: The number distribution of the molecules of chemical abundances of our model. Distributions were plotted for several chemical species with different average molecule numbers. The data were obtained by observing 178800 cell divisions.

Mentions: In Fig. 1, the number distributions of several chemicals for D≈Dc were plotted*1. Here we measured the number of molecules of each chemical when a cell divides into two and the distribution indeed was nearly log-normal. i.e.(2)P(ni)≈exp(−(logni−logn¯i)22σ),where n̄i indicates the average of ni over the cells.


Ubiquity of log-normal distributions in intra-cellular reaction dynamics
The number distribution of the molecules of chemical abundances of our model. Distributions were plotted for several chemical species with different average molecule numbers. The data were obtained by observing 178800 cell divisions.
© Copyright Policy
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC5036630&req=5

f1-1_25: The number distribution of the molecules of chemical abundances of our model. Distributions were plotted for several chemical species with different average molecule numbers. The data were obtained by observing 178800 cell divisions.
Mentions: In Fig. 1, the number distributions of several chemicals for D≈Dc were plotted*1. Here we measured the number of molecules of each chemical when a cell divides into two and the distribution indeed was nearly log-normal. i.e.(2)P(ni)≈exp(−(logni−logn¯i)22σ),where n̄i indicates the average of ni over the cells.

View Article: PubMed Central - PubMed

ABSTRACT

The discovery of two fundamental laws concerning cellular dynamics with recursive growth is reported. Firstly, the chemical abundances measured over many cells were found to obey a log-normal distribution and secondly, the relationship between the average and standard deviation of the abundances was found to be linear. The ubiquity of these laws was explored both theoretically and experimentally. By means of a model with a catalytic reaction network, the laws were shown to exist near a critical state with efficient self-reproduction. Additionally, by measuring distributions of fluorescent proteins in bacteria cells, the ubiquity of log-normal distribution of protein abundances was confirmed. Relevance of these findings to cellular function and biological plasticity is briefly discussed.

No MeSH data available.