TY - JOUR
T1 - A simple model of cell proliferation of bacteria using min oscillation
AU - Sakaguchi, Hidetsugu
AU - Kawasaki, Yuka
N1 - Publisher Copyright:
©2019 The Physical Society of Japan
PY - 2019
Y1 - 2019
N2 - A mathematical model of Min oscillation in Escherichia coli is numerically studied. The oscillatory state and hysteretic transition are explained with simpler coupled differential equations. Next, we propose a simple model of cell growth and division using the Min oscillation. The cell cycle is not constant but exhibits fluctuation in the deterministic model. Finally, we perform direct numerical simulation of cell assemblies composed of many cells obeying the simple growth and division model. As the cell number increases with time, the spatial distribution of cell assembly becomes more circular, although the cells are aligned almost in the x-direction.
AB - A mathematical model of Min oscillation in Escherichia coli is numerically studied. The oscillatory state and hysteretic transition are explained with simpler coupled differential equations. Next, we propose a simple model of cell growth and division using the Min oscillation. The cell cycle is not constant but exhibits fluctuation in the deterministic model. Finally, we perform direct numerical simulation of cell assemblies composed of many cells obeying the simple growth and division model. As the cell number increases with time, the spatial distribution of cell assembly becomes more circular, although the cells are aligned almost in the x-direction.
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U2 - 10.7566/JPSJ.88.104002
DO - 10.7566/JPSJ.88.104002
M3 - Article
AN - SCOPUS:85072711281
SN - 0031-9015
VL - 88
JO - journal of the physical society of japan
JF - journal of the physical society of japan
IS - 10
M1 - 104002
ER -