On the need for another type of predictive model in structured foods

被引:33
作者
Dens, EJ [1 ]
Van Impe, JF [1 ]
机构
[1] Katholieke Univ Leuven, Dept Food & Microbial Technol, B-3001 Louvain, Belgium
关键词
microbial growth; two species competition; structured foods; space; predictive microbiology; mathematical modeling;
D O I
10.1016/S0168-1605(00)00472-4
中图分类号
TS2 [食品工业];
学科分类号
0832 ;
摘要
Most of the models discussed up till now in predictive microbiology do nor take into account the variability of microbial growth with respect to space. In structured (solid) foods, microbial growth can strongly depend on the position in the food and the assumption of humogeneity can thus not be accepted: space must be considered as an independent variable. Indeed, experimental evidence exists of bacteria competition on agar not showing the same behavior as the competition in a well-mixed liquid culture system. It is conjectured that this is due to the spatially structured habitat. Therefore, in the current paper, a prototype two species competition model proposed in previous work by the authors is extended to take space into account. The extended model describes two phenomena: (i) local evolution of biomass and (ii) transfer of biomass through the medium. The structure of the food product is taken into account by limiting the diffusion through the medium. The smaller mobility of the micro-organisms in solid foods allows spatial segregation which causes pattern formation. Evidence is given for the fact that taking space into account indeed has an influence on the behavior (coexistence/extinction) of the populations. Although the reported simulations are by no means to be interpreted as accurate predictions, the proposed model structure allows one to highlight (i) important characteristics of microbial growth in structured foods and (ii) future research trends in predictive microbiology. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:247 / 260
页数:14
相关论文
共 23 条
[1]   A METHOD FOR MEASURING MOTILITY OF BACTERIA AND FOR COMPARING RANDOM AND NON-RANDOM MOTILITY [J].
ADLER, J ;
DAHL, MM .
JOURNAL OF GENERAL MICROBIOLOGY, 1967, 46 :161-&
[2]   COMPETITION BETWEEN SPECIES - THEORETICAL MODELS AND EXPERIMENTAL TESTS [J].
AYALA, FJ ;
GILPIN, ME ;
EHRENFELD, JG .
THEORETICAL POPULATION BIOLOGY, 1973, 4 (03) :331-356
[3]   A DYNAMIC APPROACH TO PREDICTING BACTERIAL-GROWTH IN FOOD [J].
BARANYI, J ;
ROBERTS, TA .
INTERNATIONAL JOURNAL OF FOOD MICROBIOLOGY, 1994, 23 (3-4) :277-294
[4]   STRUCTURED HABITATS AND THE EVOLUTION OF ANTICOMPETITOR TOXINS IN BACTERIA [J].
CHAO, L ;
LEVIN, BR .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1981, 78 (10) :6324-6328
[5]   A prototype model structure for mixed microbial populations in homogeneous food products [J].
Dens, EJ ;
Vereecken, KM ;
Van Impe, JF .
JOURNAL OF THEORETICAL BIOLOGY, 1999, 201 (03) :159-170
[6]   Allelopathy in spatially distributed populations [J].
Durrett, R ;
Levin, S .
JOURNAL OF THEORETICAL BIOLOGY, 1997, 185 (02) :165-171
[7]  
FRANK SA, 1994, EVOL ECOL, V8, P368
[8]  
GILL C O, 1985, Food Microbiology (London), V2, P285, DOI 10.1016/0740-0020(85)90010-3
[9]   CONTINUUM MODEL FOR THE SPATIOTEMPORAL GROWTH OF BACTERIAL COLONIES [J].
GRIMSON, MJ ;
BARKER, GC .
PHYSICAL REVIEW E, 1994, 49 (02) :1680-1684
[10]   A NEW MODEL FOR BACTERIAL-GROWTH IN HETEROGENEOUS SYSTEMS [J].
HILLS, BP ;
WRIGHT, KM .
JOURNAL OF THEORETICAL BIOLOGY, 1994, 168 (01) :31-41