Numerical Solution of a Novel Biofilm Growth Model

被引:0
|
作者
Cumsille, Patricio [1 ,2 ]
Asenjo, Juan A. [3 ]
Conca, Carlos [4 ,5 ]
机构
[1] Univ Bio Bio, Dept Basic Sci, Grp Appl Math, Campus Fernando May,Ave Andres Bello S-N, Chillan, Chile
[2] Univ Chile, Ctr Biotechnol & Bioengn, Beauchef 850, Santiago, Chile
[3] Univ Chile, Ctr Biotechnol & Bioengn, Ctr Biochem Engn & Biotechnol, Beauchef 850, Santiago, Chile
[4] Univ Chile, Dept Math Engn DIM, Ctr Math Modelling, UMI CNRS 2807, Beauchef 851,POB 170-3, Santiago, Chile
[5] Univ Chile, Ctr Biotechnol & Bioengn CeBiB, Beauchef 851,POB 170-3, Santiago, Chile
关键词
CELLULAR-AUTOMATON APPROACH; LEVEL SET METHOD; TRANSPORT; FLOW;
D O I
10.1007/978-3-319-24871-4_16
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In this work we simulate biofilm structures ("finger-like", as well as, compact structures) as a result of microbial growth in different environmental conditions. At the same time, the numerical method that we use in order to carry out the computational simulations is new to the biological community, as far as we know. The use of our model sheds light on the biological process of biofilm formation since it simulates some central issues of biofilm growth: the pattern formation of heterogeneous structures, such as finger-like structures, in a substrate-transport-limited regime, and the formation of more compact structures, in a growth-limited-regime.
引用
收藏
页码:207 / 222
页数:16
相关论文
共 50 条
  • [1] Numerical Solution of a Degenerate, Diffusion Reaction Based Biofilm Growth Model on Structured Non-Orthogonal Grids
    Ali, Md. Afsar
    Eberl, Hermann J.
    Sudarsan, Rangarajan
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 24 (03) : 695 - 741
  • [2] A novel finite difference scheme for numerical solution of fractional order population growth model
    Rahrovi, Yahya
    Mahmoudi, Yaghoub
    Shamloo, Ali Salimi
    Jahangirirad, Mohammad
    Fathizadeh, Einollah
    PHYSICA SCRIPTA, 2024, 99 (04)
  • [3] Convergence and Numerical Solution of a Model for Tumor Growth
    Benito, Juan J.
    Garcia, Angel
    Lucia Gavete, Maria
    Negreanu, Mihaela
    Urena, Francisco
    Vargas, Antonio M.
    MATHEMATICS, 2021, 9 (12)
  • [4] Numerical solution of an endogenous growth model with threshold learning
    Chen B.
    Computational Economics, 1999, 13 (3) : 227 - 247
  • [5] Numerical solution of an endogenous growth model with threshold learning
    Chen, Baoline
    Computational Economics, 1999, 13 (03): : 227 - 247
  • [6] Analysis and numerical solution of novel fractional model for dengue
    Ahmad, Shakoor
    Javeed, Shumaila
    Ahmad, Hijaz
    Khushi, Jamila
    Elagan, S. K.
    Khames, Ahmed
    RESULTS IN PHYSICS, 2021, 28
  • [7] Numerical solution of a microbial growth model applied to dynamic environments
    Zhu, Si
    Chen, Guibing
    JOURNAL OF MICROBIOLOGICAL METHODS, 2015, 112 : 76 - 82
  • [8] Numerical solution of a stochastic population growth model in a closed system
    Morteza Khodabin
    Khosrow Maleknejad
    Mahnaz Asgari
    Advances in Difference Equations, 2013
  • [9] Numerical solution of a stochastic population growth model in a closed system
    Khodabin, Morteza
    Maleknejad, Khosrow
    Asgari, Mahnaz
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [10] Mathematical Model of Biofilm Growth
    Lo, Yi-Ping
    Ward, John
    Iza, Felipe
    Seager, Rob
    Kong, Michael
    7TH INDUSTRIAL SIMULATION CONFERENCE 2009, 2009, : 315 - +