CONTINUUM MODEL FOR THE SPATIOTEMPORAL GROWTH OF BACTERIAL COLONIES

被引:32
作者
GRIMSON, MJ [1 ]
BARKER, GC [1 ]
机构
[1] UNIV AUCKLAND, DEPT PHYS, AUCKLAND, NEW ZEALAND
关键词
D O I
10.1103/PhysRevE.49.1680
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A model for the spatiotemporal growth of bacterial colonies is introduced based on a reaction-diffusion equation with local and nonlocal modes of growth. If the local coarse-grained cell concentration is less than the physical close-packing concentration, local growth occurs. However, nonlocal growth occurs at the surface of a colony if local growth cannot account for the amount of growth required by the global growth law. The model is implemented for the radial growth of independent spherical colonies and applied to the growth of bacterial colonies immobilized within a gel. © 1994 The American Physical Society.
引用
收藏
页码:1680 / 1684
页数:5
相关论文
共 9 条
[1]  
BROCKLEHURST TF, IN PRESS
[2]   NONAUTONOMOUS LOGISTIC EQUATIONS AS MODELS OF THE ADJUSTMENT OF POPULATIONS TO ENVIRONMENTAL-CHANGE [J].
COLEMAN, BD .
MATHEMATICAL BIOSCIENCES, 1979, 45 (3-4) :159-173
[3]   The wave of advance of advantageous genes [J].
Fisher, RA .
ANNALS OF EUGENICS, 1937, 7 :355-369
[4]  
FRALEIGH SP, 1986, J GEN MICROBIOL, V132, P2057
[5]   VOLTERRA AND OTHER NONLINEAR MODELS OF INTERACTING POPULATIONS [J].
GOEL, NS ;
MAITRA, SC ;
MONTROLL, EW .
REVIEWS OF MODERN PHYSICS, 1971, 43 (02) :231-+
[6]  
MACKIE AR, IN PRESS
[7]   APPROXIMATE ASYMPTOTIC SOLUTIONS TO THE D-DIMENSIONAL FISHER EQUATION [J].
PURI, S ;
ELDER, KR ;
DESAI, RC .
PHYSICS LETTERS A, 1989, 142 (6-7) :357-360
[8]   A NONAUTONOMOUS MODEL OF POPULATION-GROWTH [J].
VANCE, RR ;
CODDINGTON, EA .
JOURNAL OF MATHEMATICAL BIOLOGY, 1989, 27 (05) :491-506
[9]   EXACT AND EXPLICIT SOLITARY WAVE SOLUTIONS FOR THE GENERALIZED FISHER EQUATION [J].
WANG, XY .
PHYSICS LETTERS A, 1988, 131 (4-5) :277-279