کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
977789 933207 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
چکیده انگلیسی


• A cross diffusion model of bacterial growth with nutrient chemotaxis is studied.
• The chemotaxis increases the asymptotic growth speed of the colony envelope front.
• High resolution numerical simulations using GPUs are presented.

This paper studies a reaction–diffusion–chemotaxis model for bacterial aggregation patterns on the surface of thin agar plates. It is based on the non-linear degenerate cross diffusion model proposed by Kawasaki et al. (1997) [5] and it includes a suitable nutrient chemotactic term compatible with such type of diffusion, as suggested by Ben-Jacob et al. (2000) [20]. An asymptotic estimation predicts the growth velocity of the colony envelope as a function of both the nutrient concentration and the chemotactic sensitivity. It is shown that the growth velocity is an increasing function of the chemotactic sensitivity. High resolution numerical simulations using Graphic Processing Units (GPUs), which include noise in the diffusion coefficient for the bacteria, are presented. The numerical results verify that the chemotactic term enhances the velocity of propagation of the colony envelope. In addition, the chemotaxis seems to stabilize the formation of branches in the soft-agar, low-nutrient regime.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 392, Issue 22, 15 November 2013, Pages 5644–5662
نویسندگان
, , ,