Previous experiments demonstrated that a population of HeLa cells starved of glucose or both glucose and serum exhibited a strong heterogeneity in the glycolytic oscillations in terms of the number of oscillatory cells, periods of oscillations, and duration of oscillations. Here, we report numerical simulations of this heterogeneous oscillatory behavior in HeLa cells by using a newly developed mathematical model. It is simple enough that we can apply a mathematical analysis, but capture the core of the glycolytic pathway and the activity of the glucose transporter (GLUT). Lognormal distributions of the values of the four rate constants in the model were obtained from the experimental distributions in the periods of oscillations. Thus, the heterogeneity in the periods of oscillations can be attributed to the difference in the rate constants of the enzymatic reactions. The activity of GLUT is found to determine whether the HeLa cells were oscillatory or non-oscillatory under the same experimental conditions. Simulation with the log-normal distribution of the maximum uptake velocity of glucose and the four randomized rate constants based on the log-normal distributions successfully reproduced the time-dependent number of oscillatory cells (oscillatory ratios) under the two starving conditions. The difference in the initial values of the metabolites has little effect on the simulated results.
Skip Nav Destination
,
,
,
,
Article navigation
March 2019
Research Article|
March 28 2019
Modeling studies of heterogeneities in glycolytic oscillations in HeLa cervical cancer cells
Takashi Amemiya
;
Takashi Amemiya
a)
1
Graduate School of Environment and Information Sciences, Yokohama National University (YNU)
, 79-7 Tokiwadai, Hodogaya-ku, Yokohama, Kanagawa 240-8501, Japan
a)Author to whom correspondence should be addressed: [email protected]
Search for other works by this author on:
Kenichi Shibata
;
Kenichi Shibata
1
Graduate School of Environment and Information Sciences, Yokohama National University (YNU)
, 79-7 Tokiwadai, Hodogaya-ku, Yokohama, Kanagawa 240-8501, Japan
Search for other works by this author on:
Yichen Du;
Yichen Du
1
Graduate School of Environment and Information Sciences, Yokohama National University (YNU)
, 79-7 Tokiwadai, Hodogaya-ku, Yokohama, Kanagawa 240-8501, Japan
Search for other works by this author on:
Satoshi Nakata;
Satoshi Nakata
2
Graduate School of Science, Hiroshima University
, 1-3-1 Kagamiyama, Higashihiroshima 739-8526, Japan
Search for other works by this author on:
Tomohiko Yamaguchi
Tomohiko Yamaguchi
3
Meiji Institute for Advanced Study of Mathematical Sciences (MIMS)
, 4-21-1 Nakano, Nakano-ku, Tokyo 164-8525, Japan
Search for other works by this author on:
Takashi Amemiya
1,a)
Kenichi Shibata
1
Yichen Du
1
Satoshi Nakata
2
Tomohiko Yamaguchi
3
1
Graduate School of Environment and Information Sciences, Yokohama National University (YNU)
, 79-7 Tokiwadai, Hodogaya-ku, Yokohama, Kanagawa 240-8501, Japan
2
Graduate School of Science, Hiroshima University
, 1-3-1 Kagamiyama, Higashihiroshima 739-8526, Japan
3
Meiji Institute for Advanced Study of Mathematical Sciences (MIMS)
, 4-21-1 Nakano, Nakano-ku, Tokyo 164-8525, Japan
a)Author to whom correspondence should be addressed: [email protected]
Note: This paper is part of the Focus Issue, “Nonlinear Chemical Dynamics and Its Interdisciplinary Impact: Dedicated to Ken Showalter on the Occasion of his 70th Birthday.”
Chaos 29, 033132 (2019)
Article history
Received:
December 29 2018
Accepted:
March 08 2019
Citation
Takashi Amemiya, Kenichi Shibata, Yichen Du, Satoshi Nakata, Tomohiko Yamaguchi; Modeling studies of heterogeneities in glycolytic oscillations in HeLa cervical cancer cells. Chaos 1 March 2019; 29 (3): 033132. https://doi.org/10.1063/1.5087216
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
Sex, ducks, and rock “n” roll: Mathematical model of sexual response
K. B. Blyuss, Y. N. Kyrychko
Introduction to Focus Issue: Data-driven models and analysis of complex systems
Johann H. Martínez, Klaus Lehnertz, et al.
Selecting embedding delays: An overview of embedding techniques and a new method using persistent homology
Eugene Tan, Shannon Algar, et al.
Related Content
Primordial oscillations in life: Direct observation of glycolytic oscillations in individual HeLa cervical cancer cells
Chaos (September 2017)
Effect of anti-glycolytic agents on tumour cells in vitro
AIP Conf. Proc. (August 2016)
Effects of taurine and ethanol extract from Sargassum sp. to cervical cancer cells (HeLa) in vitro
AIP Conf. Proc. (October 2022)