Modelling directional guidance and motility regulation in cell migration

被引:40
作者
Cai, AQ [1 ]
Landman, KA [1 ]
Hughes, BD [1 ]
机构
[1] Univ Melbourne, Dept Math & Stat, Melbourne, Vic 3010, Australia
基金
澳大利亚研究理事会;
关键词
signalling molecule; cell migration; motility; directional guidance; diffusion; repulsion; inhibition;
D O I
10.1007/s11538-005-9028-x
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Although cell migration is an essential process in development, how cells reach their final destination is not well understood. Secreted molecules are known to have a migratory effect, but it remains unclear whether such molecules act as directional guidance cues or as motility regulators. There is potential to use signalling molecules in new medical therapies, so it is important to identify the exact role these molecules play. This paper focuses on distinguishing between inhibitory and repulsive effects produced by signalling molecules, based on recent experiments examining the effect of Slit, a secreted protein, on the migration of neurons from the brain. The primary role of Slit, whether it is ail inhibitor or repellent of neurons, is in dispute. We present population-level continuum models and recast these in terms of transition probabilities governing individual cells. Various cell-sensing strategies are considered within this framework. The models are applied to the neuronal migration experiments. To resolve the particular role of Slit, simulations of the models characterising different cell-sensing strategies are compared at the population and individual cell level, providing two complementary perspectives on the system. Difficulties and limitations in deducing cell migration rules from time-lapse imaging are discussed.
引用
收藏
页码:25 / 52
页数:28
相关论文
共 22 条
[1]   CROONIAN LECTURE, 1978 - CRAWLING MOVEMENT OF METAZOAN CELLS [J].
ABERCROMBIE, M .
PROCEEDINGS OF THE ROYAL SOCIETY SERIES B-BIOLOGICAL SCIENCES, 1980, 207 (1167) :129-+
[2]   Mechanism of migration of olfactory bulb interneurons [J].
AlvarezBuylla, A .
SEMINARS IN CELL & DEVELOPMENTAL BIOLOGY, 1997, 8 (02) :207-213
[3]   Continuous and discrete mathematical models of tumor-induced angiogenesis [J].
Anderson, ARA ;
Chaplain, MAJ .
BULLETIN OF MATHEMATICAL BIOLOGY, 1998, 60 (05) :857-899
[4]  
[Anonymous], 1980, LECT NOTES BIOMATHEM
[5]   Cell migration in development and disease [J].
Franz, CM ;
Jones, GE ;
Ridley, AJ .
DEVELOPMENTAL CELL, 2002, 2 (02) :153-158
[6]  
Hughes B. D., 1995, RANDOM WALKS RANDOM, V1
[7]   TRAVELING BANDS OF CHEMOTACTIC BACTERIA - THEORETICAL ANALYSIS [J].
KELLER, EF ;
SEGEL, LA .
JOURNAL OF THEORETICAL BIOLOGY, 1971, 30 (02) :235-&
[8]   Mathematical models of cell colonization of uniformly growing domains [J].
Landman, KA ;
Pettet, GJ ;
Newgreen, DF .
BULLETIN OF MATHEMATICAL BIOLOGY, 2003, 65 (02) :235-262
[9]   Cell migration: A physically integrated molecular process [J].
Lauffenburger, DA ;
Horwitz, AF .
CELL, 1996, 84 (03) :359-369
[10]  
LIGGETT T. M., 1985, INTERACTING PARTICEL