Literature DB >> 7709687

A survey of structured cell population dynamics.

O Arino1.   

Abstract

A survey of three types of cell population models is presented in this paper. The main issue in all the surveyed works is whether or not there exists a stable type distribution (s.t.d.). In the last few years, many efforts were directed towards describing the most general models which still exhibit s.t.d. Progress made in the case of size density models are discussed. A slightly extended version of a time continous daughter cell model, studied in Arino et al. (1991), is presented. Recently, some authors have undertaken the task of comparing models of various origins and types. Such works are alluded to in a discussion.

Mesh:

Year:  1995        PMID: 7709687     DOI: 10.1007/bf00709430

Source DB:  PubMed          Journal:  Acta Biotheor        ISSN: 0001-5342            Impact factor:   1.774


  12 in total

1.  A nonlinear structured population model of tumor growth with quiescence.

Authors:  M Gyllenberg; G F Webb
Journal:  J Math Biol       Date:  1990       Impact factor: 2.259

2.  Asymptotic behavior of nonlinear semigroup describing a model of selective cell growth regulation.

Authors:  O Arino; M Kimmel
Journal:  J Math Biol       Date:  1991       Impact factor: 2.259

3.  Cell cycle kinetics with supramitotic control, two cell types, and unequal division: a model of transformed embryonic cells.

Authors:  M Kimmel; O Arino
Journal:  Math Biosci       Date:  1991-06       Impact factor: 2.144

4.  Asymptotic behavior of a nonlinear functional-integral equation of cell kinetics with unequal division.

Authors:  O Arino; M Kimmel
Journal:  J Math Biol       Date:  1989       Impact factor: 2.259

5.  Do cells cycle?

Authors:  J A Smith; L Martin
Journal:  Proc Natl Acad Sci U S A       Date:  1973-04       Impact factor: 11.205

6.  Globally asymptotic properties of proliferating cell populations.

Authors:  A Lasota; M C Mackey
Journal:  J Math Biol       Date:  1984       Impact factor: 2.259

7.  Global asymptotic stability of the size distribution in probabilistic models of the cell cycle.

Authors:  J J Tyson; K B Hannsgen
Journal:  J Math Biol       Date:  1985       Impact factor: 2.259

8.  Correlation between cell cycle duration and RNA content.

Authors:  Z Darzynkiewicz; D P Evenson; L Staiano-Coico; T K Sharpless; M L Melamed
Journal:  J Cell Physiol       Date:  1979-09       Impact factor: 6.384

9.  Cell growth and division. I. A mathematical model with applications to cell volume distributions in mammalian suspension cultures.

Authors:  G I Bell; E C Anderson
Journal:  Biophys J       Date:  1967-07       Impact factor: 4.033

10.  Quiescence as an explanation of Gompertzian tumor growth.

Authors:  M Gyllenberg; G F Webb
Journal:  Growth Dev Aging       Date:  1989 Spring-Summer
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  8 in total

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Journal:  J Math Biol       Date:  2015-10-06       Impact factor: 2.259

2.  Numerical rate function determination in partial differential equations modeling cell population dynamics.

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Journal:  J Math Biol       Date:  2016-06-13       Impact factor: 2.259

3.  Modelling the impact of birth control policies on China's population and age: effects of delayed births and minimum birth age constraints.

Authors:  Yue Wang; Renaud Dessalles; Tom Chou
Journal:  R Soc Open Sci       Date:  2022-06-08       Impact factor: 3.653

4.  Eigensolutions and spectral analysis of a model for vertical gene transfer of plasmids.

Authors:  Eva Stadler
Journal:  J Math Biol       Date:  2018-11-19       Impact factor: 2.259

5.  An age-and-cyclin-structured cell population model for healthy and tumoral tissues.

Authors:  Fadia Bekkal Brikci; Jean Clairambault; Benjamin Ribba; Benoît Perthame
Journal:  J Math Biol       Date:  2007-12-07       Impact factor: 2.259

Review 6.  Mathematical modeling as a tool for planning anticancer therapy.

Authors:  Andrzej Swierniak; Marek Kimmel; Jaroslaw Smieja
Journal:  Eur J Pharmacol       Date:  2009-10-13       Impact factor: 4.432

7.  Dynamic rendering of the heterogeneous cell response to anticancer treatments.

Authors:  Francesca Falcetta; Monica Lupi; Valentina Colombo; Paolo Ubezio
Journal:  PLoS Comput Biol       Date:  2013-10-17       Impact factor: 4.475

8.  Modeling of non-small cell lung cancer volume changes during CT-based image guided radiotherapy: patterns observed and clinical implications.

Authors:  Hiram A Gay; Quendella Q Taylor; Fumika Kiriyama; Geoffrey T Dieck; Todd Jenkins; Paul Walker; Ron R Allison; Paolo Ubezio
Journal:  Comput Math Methods Med       Date:  2013-10-24       Impact factor: 2.238

  8 in total

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