Citation: Irfan, M.; Waqas, S.;
Arshad, U.; Khan, J.A.; Legutko, S.;
Kruszelnicka, I.; Ginter-Kramarczyk,
D.; Rahman, S.; Skrzypczak, A.
Response Surface Methodology and
Artificial Neural Network Modelling
of Membrane Rotating Biological
Contactors for Wastewater Treatment.
Materials 2022, 15, 1932. https://
doi.org/10.3390/ma15051932
Academic Editor: Roberta G. Toro
Received: 7 February 2022
Accepted: 1 March 2022
Published: 4 March 2022
Publisher’s Note: MDPI stays neutral
with regard to jurisdictional claims in
published maps and institutional affil-
iations.
Copyright: © 2022 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
materials
Article
Response Surface Methodology and Artificial Neural Network
Modelling of Membrane Rotating Biological Contactors for
Wastewater Treatment
Muhammad Irfan
1
, Sharjeel Waqas
2,3,
* , Ushtar Arshad
2
, Javed Akbar Khan
4,
*, Stanislaw Legutko
5
,
Izabela Kruszelnicka
6
, Dobrochna Ginter-Kramarczyk
6
, Saifur Rahman
1
and Anna Skrzypczak
7
1
Electrical Engineering Department, College of Engineering, Najran University Saudi Arabia,
Najran 11001, Saudi Arabia; miditta@nu.edu.sa (M.I.); srrahman@nu.edu.sa (S.R.)
2
Chemical Engineering Department, University Teknologi PETRONAS, Seri Iskandar 32610, Malaysia;
ushtar_18003307@utp.edu.my
3
School of Chemical Engineering, The University of Faisalabad, Faisalabad 37610, Pakistan
4
Mechanical Engineering Department, University Teknologi PETRONAS, Seri Iskandar 32610, Malaysia
5
Faculty of Mechanical Engineering, Poznan University of Technology, 60-965 Poznan, Poland;
stanislaw.legutko@put.poznan.pl
6
Department of Water Supply and Bioeconomy, Faculty of Environmental Engineering and Energy,
Poznan University of Technology, 60-965 Poznan, Poland; izabela.kruszelnicka@put.poznan.pl (I.K.);
dobrochna.ginter-kramarczyk@put.poznan.pl (D.G.-K.)
7
Health-Fire-Environmental Specialist AIGO-TEC Sp. z o.o., Gnie´ znie ´ nska 6, 62-330 Nekla, Poland;
a.skrzypczak@aigo-tec.com
* Correspondence: sharjeel_17000606@utp.edu.my (S.W.); javedakbar.khan@utp.edu.my (J.A.K.)
Abstract: Membrane fouling is a major hindrance to widespread wastewater treatment applications.
This study optimizes operating parameters in membrane rotating biological contactors (MRBC) for
maximized membrane fouling through Response Surface Methodology (RSM) and an Artificial Neural
Network (ANN). MRBC is an integrated system, embracing membrane filtration and conventional
rotating biological contactor in one individual bioreactor. The filtration performance was optimized
by exploiting the three parameters of disk rotational speed, membrane-to-disk gap, and organic
loading rate. The results showed that both the RSM and ANN models were in good agreement
with the experimental data and the modelled equation. The overall R
2
value was 0.9982 for the
proposed network using ANN, higher than the RSM value (0.9762). The RSM model demonstrated
the optimum operating parameter values of a 44 rpm disk rotational speed, a 1.07 membrane-to-disk
gap, and a 10.2 g COD/m
2
d organic loading rate. The optimization of process parameters can
eliminate unnecessary steps and automate steps in the process to save time, reduce errors and avoid
duplicate work. This work demonstrates the effective use of statistical modeling to enhance MRBC
system performance to obtain a sustainable and energy-efficient treatment process to prevent human
health and the environment.
Keywords: artificial neural networks (ANN); attached growth process; biofilm; response surface
methodology (RSM); membrane fouling
1. Introduction
Membrane fouling that can result in the rapid decline of membrane flux is a major
bottleneck for limiting the wide application of various membrane technologies [1]. Var-
ious methods to curtail membrane fouling are well developed, and many conventional
and modern approaches to alleviate membrane fouling are in practice [2]. Conventional
approaches focus on improving membrane properties, optimizing operational parameters,
and tweaking the hydrodynamics near the membrane surface [3–6]. However, all these tech-
niques result in high initial cost and high energy demand, thus limiting their widespread
Materials 2022, 15, 1932. https://doi.org/10.3390/ma15051932 https://www.mdpi.com/journal/materials