Mathematical modeling of substrate consumption in a biofilm: Solutions arrived using Akbari-Ganji method

被引：5

作者：

Vanaja, R. ^{[1
]}

Jeyabarathi, P. ^{[2
]}

Rajendran, L. ^{[1
]}

Lyons, M. E. G. ^{[3
,4
]}

机构：

[1] AMET, Dept Math, Chennai, Tamil Nadu, India

[2] Bharathidasan Univ, Dept Math, Govt Arts Coll, Ariyalur, Thiruchirappall, India

[3] Univ Dublin, Trinity Coll Dublin, Sch Chem, Dublin 2, Ireland

[4] Univ Dublin, Trinity Coll Dublin, AMBER Natl Ctr, Dublin 2, Ireland

来源：

INTERNATIONAL JOURNAL OF ELECTROCHEMICAL SCIENCE | 2022年 / 17卷 / 05期

关键词：

Nonlinear equations; Mathematical modeling; Numerical simulation; biofilm; Akbari-Ganji?s method;

D O I：

10.20964/2022.05.66

中图分类号：

O646 [电化学、电解、磁化学];

学科分类号：

081704 ;

摘要：

This paper reports the mathematical modelling of substrate consumption by a biofilm. This model is based on a nonlinear equation comprising a nonlinear term connected to a square law of microbial death rate. This paper applies a powerful analytical method to solve the nonlinear equation, known as AkbariGanji???s method. A simple closed-form of analytical expression concentration of substrate and flux in the biofilm has been derived. The impact of several parameters on concentration and flux is explored, including biofilm thickness and bulk concentration. Numerical simulation for the concentration profile for steady-state conditions was compared with our analytical results. It is also observed that a satisfactory agreement has been obtained.

引用

页数：11

共 27 条

[1] Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology [J].