| Coalescence of interacting cell populations. | |
| | |
MedLine Citation:
|
PMID: 17467009 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
|
We analyse the coalescence of invasive cell populations by studying both the temporal and steady behaviour of a system of coupled reaction-diffusion equations. This problem is relevant to recent experimental observations of the dynamics of opposingly directed invasion waves of cells. Two cell types, u and v, are considered with the cell motility governed by linear or nonlinear diffusion. The cells proliferate logistically so that the long-term total cell density, u+v approaches a carrying capacity. The steady-state solutions for u and v are denoted u(s) and v(s). The steady solutions are spatially invariant and satisfy u(s)+v(s)=1. However, this expression is underdetermined so the relative proportion of each cell type u(s) and v(s) cannot be determined a priori. Various properties of this model are studied, such as how the relative proportion of u(s) and v(s) depends on the relative motility and relative proliferation rates. The model is analysed using a combination of numerical simulations and a comparison principle. This investigation unearths some novel outcomes regarding the role of overcrowding and cell death in this type of cell migration assay. These observations have relevance to experimental design and interpretation regarding the identification and parameterisation of mechanisms involved in cell invasion. |
| | |
Authors:
|
Matthew J Simpson; Kerry A Landman; Kaushik Bhaganagarapu |
Related Documents
:
|
22367019 - Real-time monitoring of adherent vero cell density and apoptosis in bioreactor processes. 9742679 - A single pacemaker cell model based on the phase response curve. 6411689 - Surface tension gradients: feasible model for gliding motility of myxococcus xanthus. 8538219 - A monte carlo simulation of the escherichia coli cell cycle. 17094799 - Time scale and dimension analysis of a budding yeast cell cycle model. 14604689 - Identification of structural components associated with cytostatic activity in mcf-7 bu... 7061399 - Trailing flagella rotate faster than leading flagella in unipolar cells of spirillum vo... 22147229 - Effect of titanium surface on secretion of il1β and tgfβ1 by mononuclear cells. 7279309 - Two types of spike generation of human auerbach's plexus cells in culture. |
Publication Detail:
|
Type: Journal Article; Research Support, Non-U.S. Gov't Date: 2007-03-14 |
Journal Detail:
|
Title: Journal of theoretical biology Volume: 247 ISSN: 0022-5193 ISO Abbreviation: J. Theor. Biol. Publication Date: 2007 Aug |
Date Detail:
|
Created Date: 2007-06-25 Completed Date: 2007-08-13 Revised Date: 2008-11-21 |
Medline Journal Info:
|
Nlm Unique ID: 0376342 Medline TA: J Theor Biol Country: Netherlands |
Other Details:
|
Languages: eng Pagination: 525-43 Citation Subset: IM |
Affiliation:
|
Department of Mathematics and Statistics, University of Melbourne, Vic. 3010, Australia. m.simpson@ms.unimelb.edu.au |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
Algorithms* Cell Aggregation Cell Communication / physiology Cell Division / physiology Cell Movement / physiology Cell Physiological Phenomena* Humans Models, Biological |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: Stability of emotional dysfunctions? A long-term fMRI study in first-episode schizophrenia.
Next Document: Butyrylcholinesterase and the control of synaptic responses in acetylcholinesterase knockout mice.