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Titolo:
Mathematical models and simulations of bacterial growth and chemotaxis in a diffusion gradient chamber
Autore:
Chiu, C; Hoppensteadt, FC;
Indirizzi:
Michigan State Univ, Dept Math, E Lansing, MI 48824 USA Michigan State Univ E Lansing MI USA 48824 Math, E Lansing, MI 48824 USA Arizona State Univ, Ctr Syst Sci & Engn, Tempe, AZ 85287 USA Arizona StateUniv Tempe AZ USA 85287 yst Sci & Engn, Tempe, AZ 85287 USA
Titolo Testata:
JOURNAL OF MATHEMATICAL BIOLOGY
fascicolo: 2, volume: 42, anno: 2001,
pagine: 120 - 144
SICI:
0303-6812(200102)42:2<120:MMASOB>2.0.ZU;2-2
Fonte:
ISI
Lingua:
ENG
Soggetto:
CELL-POPULATIONS; PATTERNS; SYSTEMS;
Keywords:
mathematical models for bacterial cell populations; reaction-diffusion-chemotaxis equations; ADI methods; computer simulation;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Life Sciences
Citazioni:
18
Recensione:
Indirizzi per estratti:
Indirizzo: Chiu, C Michigan State Univ, Dept Math, E Lansing, MI 48824 USA Michigan State Univ E Lansing MI USA 48824 Lansing, MI 48824 USA
Citazione:
C. Chiu e F.C. Hoppensteadt, "Mathematical models and simulations of bacterial growth and chemotaxis in a diffusion gradient chamber", J MATH BIOL, 42(2), 2001, pp. 120-144

Abstract

The diffusion gradient chamber (DGC) is a novel device developed to study the response of chemotactic bacteria to combinations of nutrients and attractants [7]. Its purpose is to characterize genetic variants that occur in many biological experiments. In this paper, a mathematical model which describes the spatial distribution of a bacterial population within the DGC is developed. Mathematical analysis of the model concerning positivity and boundedness of the solutions are given. An ADI (Alternating Direction Implicit)method is constructed for finding numerical solutions of the model and carrying out computer simulations. The numerical results of the model successfully reproduced the patterns that were observed in the experiments using the DGC.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 04/12/20 alle ore 19:39:27