scholarly journals Accounting for randomness in measurement and sampling in studying cancer cell population dynamics

2014 ◽  
Vol 8 (5) ◽  
pp. 230-241
Author(s):  
Siavash Ghavami ◽  
Olaf Wolkenhauer ◽  
Farshad Lahouti ◽  
Mukhtar Ullah ◽  
Michael Linnebacher
Keyword(s):  
Population Dynamics ◽  
Cancer Cell ◽  
Cell Population ◽  
Cell Population Dynamics ◽  
Cancer Cell Population

scholarly journals Implications of a simple mathematical model to cancer cell population dynamics

2006 ◽  
Vol 39 (1) ◽  
pp. 15-28 ◽  
Author(s):  
A. L. Garner ◽  
Y. Y. Lau ◽  
D. W. Jordan ◽  
M. D. Uhler ◽  
R. M. Gilgenbach
Keyword(s):  
Mathematical Model ◽  
Population Dynamics ◽  
Cancer Cell ◽  
Cell Population ◽  
Simple Mathematical Model ◽  
Cell Population Dynamics ◽  
Cancer Cell Population

scholarly journals Epithelial and mesenchymal prostate cancer cell population dynamics on a complex drug landscape

2017 ◽  
Vol 3 (4) ◽  
pp. 045001 ◽  
Author(s):  
Ke-Chih Lin ◽  
Gonzalo Torga ◽  
Amy Wu ◽  
Joshua D Rabinowitz ◽  
Wesley J Murray ◽  
...  
Keyword(s):  
Prostate Cancer ◽  
Population Dynamics ◽  
Cancer Cell ◽  
Cell Population ◽  
Prostate Cancer Cell ◽  
Cell Population Dynamics ◽  
Cancer Cell Population ◽  
Complex Drug

scholarly journals Mathematical Modeling Reveals the Factors Involved in the Phenomena of Cancer Stem Cells Stabilization

2018 ◽  
Author(s):  
N. Bessonov ◽  
G. Pinna ◽  
A. Minarsky ◽  
A. Harel-Bellan ◽  
N. Morozova
Keyword(s):  
Mathematical Model ◽  
Stem Cells ◽  
Population Dynamics ◽  
Cancer Stem Cells ◽  
Cancer Cells ◽  
Cancer Cell ◽  
Cell Population ◽  
Cell Population Dynamics ◽  
Cancer Cell Population ◽  
Population Stabilization

AbstractCancer Stem Cells (CSC), a subset of cancer cells resembling normal stem cells with self-renewal and asymmetric division capabilities, are present at various but low proportions in many tumors and are thought to be responsible for tumor relapses following conventional cancer therapies. In vitro, most intriguingly, when isolated, CSCs return to their original proportion level as shown by various investigators. This phenomenon still remains to be explained.We suggest a mathematical model of cancer cell population dynamics, based on the main parameters of cell population dynamics, including the proliferation rates, the rates of cell death and the frequency of symmetric and asymmetric cell divisions both in CSCs and in non-CSCs. This model should help elucidating some important factors underlying the dynamics of the two populations, first of all, the phenomena of cancer stem cell population stabilization.Author SummaryCancer Stem Cells (CSC) present a subset of cancer cells which is thought to be responsible for tumor growth. That is why CSC are also named “tumor initiation cells”. Additionally, it was shown that CSC are resistant to chemo- and radio-therapies which suggests that these cells can be responsible for tumor relapses after these treatments. Experimental data in cancer cell lines have shown the intriguing phenomena of CSC population stability, which means that isolated CSC population rapidly stabilizes at its characteristic level (the relative proportion of CSC in a whole cancer population). We suggest a mathematical model of cancer cell population dynamics, based on experimentally measured dynamics of CSC population stabilization and including main parameters of cell population growth.We have computationally predicted probability of different scenarios of cancer cell behavior for each experimental case with measurable growth parameters. Moreover, we provide an analytical tool for elucidating important biochemical factors responsible for a particular dynamics of CSC population.The results may have important implications in therapeutic, because the destroying of a set of factors underlying CSC stability may help to avoid tumor relapses.

scholarly journals Finsler-type estimators for the cancer cell population dynamics

2015 ◽  
Vol 98 (112) ◽  
pp. 53-69
Author(s):  
Vladimir Balan ◽  
Jelena Stojanov
Keyword(s):  
Dynamical System ◽  
Population Growth ◽  
Cancer Cell ◽  
Cell Population ◽  
Biological Models ◽  
Cell Population Dynamics ◽  
Finsler Structure ◽  
Cell Population Growth ◽  
Cancer Cell Population ◽  
The Difference

We introduce a Finslerian model related to the classical Garner dynamical system, which models the cancer cell population growth. The Finsler structure is determined by the energy of the deformation field-the difference of the fields, which describe the reduced and the proper biological models. It is shown that a certain locally-Minkowski anisotropic Randers structure, obtained by means of statistical fitting, is able to provide a Zermelo-type drift of the overall cancer cell population growth, which occurs due to significant changes within the cancerous process. The geometric background, the applicative advantages and perspective openings of the constructed geometric structure are discussed.

Flow-cytometric cell counting and DNA estimation for the study of plant cell population dynamics

1994 ◽  
Vol 39 (3) ◽  
pp. 251-259 ◽  
Author(s):  
Fernando T. Nicoloso ◽  
John Val ◽  
Maarten van der Keur ◽  
Frank van Iren ◽  
Jan W. Kijne
Keyword(s):  
Population Dynamics ◽  
Cell Population ◽  
Plant Cell ◽  
Cell Counting ◽  
Cell Population Dynamics ◽  
Flow Cytometric ◽  
Flow Cytometric Cell
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