Review Article

A Review of the Modeling of Adsorption of Organic and Inorganic Pollutants from Water Using Artificial Neural Networks

Table 1

Summary of the ANN modeling of the adsorption of water pollutants at batch operating conditions.

AdsorbentAdsorbateANN modelExperimentData used (Training-Testing-Validation)Input variablesOutput variablePollutant removalReference

Activated carbonMethylene blue, Auramine-O, Crystal violet, Eosin yellowLevenberg–Marquardt back propagationEquilibrium and Kinetics23-0-8C0, m, tRemoval percentage99.42%[4]
Polyaniline/carboxymethyl cellulose/TiO2Congo redMulti-layered perceptron back propagation (5-1-8)Kinetic, isotherm and RSM (CCD)28-9-9pH, t, C0, T, mAdsorption capacity119.9 mg/g[5]
Raw oak waste and NaOH-activated oak wasteCd2+Three–layered feed forward back propagationKinetic and isotherm153-33-33pH, t, m, C0, TRemoval percentage99.50%[6]
ZeoliteDiazinonMulti-layered feed forward (4-7-1)Equilibrium and Kinetics21-5-5t, pHRemoval percentage98.2%[8]
Magnetic walnut shellMethyl violet, Rhodamine 6GMulti-layered feed forward, Levenberg-Marquardt, Bayesian regularized and scaled conjugate gradientEquilibrium and Kinetics75-0-25pH, C0, m, tRemoval percentageMethyl violet 140.7 mg/g, R6G 78.53 mg/g[9]
Anammox bacteriaNitrogenMulti-layered feed forward, Levenberg-MarquardtIsotherms48-16-16Treatment time, NLR, ammonia concentration and nitrite concentrationAdsorption capacity17.79 mg/g[11]
Nanobiosorbent derived from waste molassesAs3+Feed forward Levenberg Marquardt back propagation (4-20-1)RSM (CCD)21-5-4C0, m, pH, tRemoval percentage878.03 mg/g[12]
Magnetic rGO-chitosan compositeCefiximeRandom forest, Feed forward (3-60-50-1)RSM and equilibrium15-5-0C0, m, pHAdsorption capacity30.36 mg/g[13]
Cu/F graphene aerogelPerfluorooctanoic acidAdaptive neuro-fuzzy inference systemRSM (CCD)23-5-5m, pH, ionic strength, TRemoval percentage25 mg/g[17]
Activated spent teaMethylene blueThree-layered feed forward back propagation (5-10-1)Kinetics61-10-10C0, m, pH, T, tRemoval percentage1042 mg/g[26]
SBA-15/CTAB compositeReactive red 198Adaptive neuro fuzzy inference systemEquilibrium and Kinetics70-30-0T, pH, t, m, C0Adsorption rate99%[44]
MOF-5-activated carbonFast green, eosin Y, quinine yellowMulti-layered feed forward back propagation (6-11-3)Equilibrium, Kinetics and RSM (CCD)75-25-0C0, pH, m, tRemoval percentageFG 98.1%, EY 98.1%, QY 91.9%[45]
Orange peelParacetamolLevenberg–Marquardt back propagation (3-18-1)Kinetic332-0-163C0, t, TPseudo second order kinetics--[47]
Activated carbonCrystal violetThree layered feed forward back propagationEquilibrium, Kinetics and RSM (CCD)23-8-0C0, pH, m, tRemoval percentage99.82%[185]
SawdustBasic red 46, Cu2+Levenberg–Marquardt back propagation (5-7-1)Kinetics38-6-6C0, pH, t, mRemoval percentage--[186]
Polyaniline/SiO2 nanocompositeAmido black 10BMulti-layered feed forward (4-8-1)Kinetic and isotherm10-4-4pH, t, C0, mRemoval percentage99.87%[58]
Zeolite prepared from raw fly ashCr6+Multi-layered feed forwardEquilibrium and Kinetics21-4-5T, m, t, pHRemoval percentage92.30%[59]
Chemically modified sugarcane bagasseReal textile effluent with mixture of dyesMultilayer feed-forwardKinetic and isotherm60-20-20pH, m, t, Ps,Removal percentage100%[60]
Leucaena leucocephala seedsAs3+, As5+Levenberg–Marquardt back propagation (4-14-1)Kinetics108-36-36C0, m, t, VRemoval percentage>90 %[61]
Acid-activated neutralized red mudPhosphateThree-layered feed forward and quasi-Newton back-propagation, scaled conjugate gradient and Levenberg–Marquardt (6-10-1)Kinetic and equilibrium25-8-8C0, m, pH, T, tAdsorption capacity31.34-192.62 mg/g[74]
Polyaniline nano-adsorbentMethyl orangeMulti-layered feed forward (5-8-1)Kinetic and isotherm60-20-20pH, t, C0, T, mRemoval percentage32.04 mg/g[75]
Clay mixtureCu2+Three layered Levenberg–Marquardt back propagationKinetics, RSM17-5-5pH, m, T, C0Adsorption capacity23.36 mg/g[76]
Modified bentoniteChlorobenzeneRadial basis function feed forward, Levenberg–Marquardt back propagationKinetic and isotherm--C0, t, m, pHAdsorption capacity0.9223 mmol/g[78]
Fe3O4/MIL-101(Fe))SarafloxacinMulti-layered feed forward (4-8-1)Kinetic, isotherm and RSM (CCD)17-5-6C0, m, t, pHRemoval percentage93.10%[79]
UiO-66(Zr) and NH2-UiO-66(Zr) metal organic frameworksPyreneMulti-layered perceptron feed forward back propagationRSM (CCD)10-10-27T, m, C0, p H, TRemoval percentageUiO-66(Zr) 99.2%, NH2-UiO-66(Zr) 95.67%[80]
Penicillium YW 01Acid black 172, Congo redANN and hybrid ANN-genetic algorithm (4-(3-10)-1)Kinetics77-26-26pH, T, C0, tAdsorption capacityAB172 225.38 mg/g, CR 411.53 mg/g[96]
Activated carbon from opuntia ficus indicaAs3+Hybridization of the traditional adsorption equations with a feed forward ANNKinetic and isothermIsotherm 21-3-3; Kinetics 44-5-5C0, T, pH, t (kinetics), Ce (for isotherms)Adsorption capacity8.32 mg/g[106]
Activated carbonAliphatic and aromatic compoundsThree layered feed forward back propagation (4-3-1)Isotherms333-35-0Molecular size, molecular volume, branching number, substituent length, heteroatoms and global substitution patternThe parameter K log (qe/Ce)--[107]
Activated carbons55 organic aromatic compoundsThree layered feed forward (5-3-1)Isotherms45-10-0Molecular size and volume, branching number, substituent length, heteroatoms and global substitution patternThe parameter K log (qe/Ce)--[108]
HematiteCd2+Adapted neural fuzzy and back propagation (5-20-1)Kinetics7-4-4C0, v, T, pH, PsCe11.5 mg/g[112]
Powdered activated carbonAcid orange 7Three layered feed forward back propagation (3-2-1)RSM, Equilibrium and Kinetics146-73-0pH, C0, tCe449.77 mg/g[113]
Antep pistachio (Pistacia Vera L.) shellsPb2+Three layered feed forward Levenberg–Marquardt back propagation (5-11-1)Kinetics34-16-16pH, T, m, t, C0Removal percentage98.70%[114]
Activated carbonAuramine OMulti-layered feed forward back propagation (6-7-1)Kinetics272 data for trainingC0, pH, m, t, T, irradiation timeAdsorption capacity700 mg/g[115]
Spirulina sp. biomassMethylene blueGenetic algorithm (3-20-20-1)Equilibrium108-81-0T, pH, mRemoval percentage or adsorption capacity900 mg/g[116]
Industrial sludge leachate with red mudPb2+Multi-layered perceptron feed forward Levenberg–Marquardt back propagation (3-12-1)Kinetics and RSM (CCD and BBD)15/05/2005t, m, pHRemoval percentage98.51%[117]
Bacillus sp.Total chromiumFeed forward back propagation (3-10-1)Equilibrium280-36-36C0, pH, tAdsorption capacity50 mg/g[118]
Bentonite clayFe3+Multi-layered perceptron (3-9-1)Equilibrium, Kinetics and RSM (CCD)13-3-0C0, t, mRemoval percentage90.12%[119]
Fungal biomassReactive black 5Feed forward Levenberg–Marquardt back propagation (9-10-1)Equilibrium135-45-45C0, pH, t, nitrogen content, carbon content, hydrogen content, BET area, pore volume and pore diameterAdsorption capacity179.26 mg/g[187]
Date palm seedsCu2+Feed forward with neuro fuzzy logic (3-3-27-1)Equilibrium10-10-0pH, m, TAdsorption capacity4.18 mg/g[121]
Lentil strawLanaset red GThree layered feed forward quick propagation (4-24-1)Kinetics784-184-184Ps, m, pH, C0, tAdsorption capacity271.12 mg/g[122]
Activated almond shellZn2+Non-linear autoregressive model processes with exogenous input NARX (4-10-2)Equilibrium10-10-10pH, m, particle size, C0Removal percentage, adsorption capacity80%[124]
Lignocellulosic BiomassesPb2+, Cd2+, Ni2+, Zn2+Feed forward back propagation (6-10-1;10-10-1;5-10-1)Equilibrium and Kinetics169 data (kinetic) (70-15-15); 92 data (isotherm) (70-15-15)Kinetics: C0, t; Isotherms: Ce, BET area, content of cellulose, hemicellulose and lignin, concentration of acidic groups, MW, hydrated ionic radii, electronegativity, hydration energyAdsorption capacity1-7 mg/g[125]
Gold nanoparticles loaded with activated carbonReactive orange 12Hybrid three layered feed forward – Imperialist competitive (3-12-1)Equilibrium and Kinetics168-72-0pH, m, T, tRemoval percentage99%[123]
Calcareous soilFe3+Quantum back propagation multi-layer perceptron (6-6-1)Equilibrium and Kinetics40-13-13C0, t, m, Ps, v, TRemoval percentage99.20%[127]
Magnetic/talc nanocompositePb2+, Ni2+, Cu2+Wavelet neural network based on the incremental back propagation (3-(1-15)-3)RSM (CCRD)13-6-0C0, m, tRemoval percentagePb2+ 93.60%, Ni2+ 51.30%, Cu2+ 81%[128]
Rice strawCd2+Feed-forward Levenberg–Marquardt back-propagation and neural-fuzzy inference system (3-6-1)Equilibrium26-9-8C0, m, pHRemoval percentage80%[129]
Typha domingensisNi2+, Cd2+Adaptive neuro fuzzy inference systemEquilibrium-pH, m, C0, t, PsRemoval percentage-[131]
Multi-walled and single-walled carbon nanotubesTriamtereneLevenberg–Marquardt back-propagation (3-(1-25)-1)Equilibrium and Kinetics45-0-19C0, m, tRemoval percentage95%[132]
Coffee groundsPb2+Three-layer feed forward and Levenberg–Marquardt back propagation (1-(4-13)-1)Equilibrium70-15-15pH, C0Adsorption capacity22.9 mg/g[133]
ZnS nanoparticles-activated carbonBrilliant greenRadial basis functionEquilibrium RSM (CCD)36-0-18C0, t, mRemoval percentage98.89%[135]
Nanowires and activated carbonSafranin-O, Indigo CarmineThree layered feed forward backpropagationEquilibrium, Kinetics and RSM (CCD)70-15-15C0, m, tRemoval percentageS-O 29.09 mg/g, IC 37.85 mg/g[137]
Maize branCr6+Multi-layered feed forward (4-10-1)Kinetic81-25-18C0, t, pH, TAdsorption capacity~13.5 mg/g[138]
ClinoptiloliteFluorideHybridization of ANN and Langmuir and Pseudo-second order equations (3-4-2)Kinetic and isotherm69-30-30C0, t, T, Ce, pH, TAdsorption capacity and parameters of the models12.4 mg/g[139]
Calcined Ca-Al-(NO3)FluorideThree layered feed forward Levenberg-Marquardt (5-10-1)Kinetic650 dataC0, m, T, pHAdsorption capacity45 mg/g[140]
Palm kernel shell activated carbonZn2+Levenberg-Marquardt back propagation, gradient descent, resilient backpropagation and gradient descent with adaptive linear regression (5-7-1)Kinetics, RSM (CCD)190-40-40pH, t, C0, m, TRemoval percentage90%[141]
Centaurea stemCrystal violetMulti-layered feed forward networkKinetic, isotherm, RSM (CCD)26-0-6pH, T, t, C0, mRemoval percentage476.19 mg/g[142]
Poly-aluminium chlorideDisperse blue 79Three layered Levenberg–Marquardt back propagation (4-4-1)Kinetic, RSM (CCD)27-9-9pH, m, C0, pHRemoval percentage52.60%[145]
Chitosan/nanodiopsideCrystal violetHybrid feed forward - genetic algorithm (4-9-1)Kinetic and isotherm, RSM (CCD)70-15-15C0, pH, m, tRemoval percentage99.50%[148]
Hydroxyapatite (Hap))/chitosan nanocompositePb2+Adaptive neuro-fuzzy inference systemKinetic and isotherm38-0-19pH, t, v, T, m, C0, Hap concentrationRemoval percentage99.20%[150]
Activated carbon, carbon nanotubes, chitin, chitosan, corn straw, grape seeds, sugarcane bagasse, orange peel and rice huskIndium3+Levenberg–Marquardt back propagation and adaptive neuro–fuzzy inference systemKinetic840-180-180Surface area, point of zero charge, t, mAdsorption capacity1000 mg/g[153]
Abelmoschus esculentus seedsNile blueThree–layered feed–forward back propagation and Levenberg-MarquardtKinetic, isotherm and RSM (CCD)21-5-5C0, m, pH, tAdsorption capacity42.34 mg/g[154]
Mesoporous rGO/Fe/Co nanohybridsMethylene blueHybrid ANN -particle swarm, hybrid ANN-genetic algorithmKinetic and isotherm, RSM (CCD)24-0-6pH, T, t, C0Removal percentage88.40%[156]
Biochar from rice huskFluorideMulti-layered back propagation (4-10-10-10-1)Kinetics70-15-15m, T, pH, C0Removal percentage4.45 mg/g[158]
Magnetic clay/Graphene Oxide/Fe3O4pesticide diazinonMulti-layered back propagation (5-13-1)RSM(CCD)23-7-7pH, T, t, C0, mRemoval percentage7.2 mg/g[159]
Magnetic Fe3O4 nanoparticles loaded with cocoa pod carbon compositeMethylene blue, crystal violetMulti-layered feed forward Levenberg-Marquardt back propagation (4-9-1)RSM(CCD)18-6-6C0, m, pH, tRemoval percentageMB 147.43 mg/g, CV 162.25 mg/g[160]
Mesoporous CoFe2O4/graphene oxide nanocompositesArsenideHybrid back propagation neural network - genetic algorithm (4-4-1)RSM(CCD)--T, pH, C0, tRemoval percentage86.62%[161]
Iron doped rice huskCr6+Feed forward Levenberg-Marquardt back propagation (5-1-1)Kinetics25 datapH, m, T, t, vRemoval percentage11.14 mg/g[163]
Hydrochar derived from KOH activated Crocus sativus petalsPb2+Support vector machineEquilibrium25-5-0T, t, water/biomass ratio, ZnCl2/biomass ratioAdsorption capacity89.52 mg/g[165]
Water treatment plant residualsPhosphateFeed forward multilayer Levenberg–Marquardt back propagation (4-2-3)Isotherms7-1-1pH and total phosphate in systemAdsorption capacity400 mg/g[188]
Activated carbonAuramine OFeed forward Levenberg–Marquardt back propagation (6-7-1)Kinetic272 data for trainingC0, t, v, T, pH, m, VAdsorption capacity850 mg/g[189]
Sawdust of mangifera indicaCu2+Multi-layered partial recurrent back-propagation (4-50-40-27-1)Isotherms4608-256-25C0, pH, T, PsRemoval percentage6 mg/g[190]
Activated carbonChlorophenolThree layered feed forward back propagation (4-8-1)Isotherms and Kinetics520-140-140pH, C0, T, tRemoval percentage>60 %[191]
Alga Chara sp.Malachite greenThree layered feed forward back propagation (5-12-1)Kinetics180-60-60C0, m, pH, T, tRemoval percentage92.75%[192]
Chara contrariaLanaset red (LR) GThree layered feed forward back propagation (4-23-1)Kinetics1566-369-369Ps, m, pH, C0, tAdsorption capacity372.39 mg/g[193]
Waste acorns of Quercus ithaburensisRadioactive gallium-67Multi-layered perceptron feed forward Levenberg–Marquardt back propagation (3-8-5-1)Kinetics172-44-44T, m, tAdsorption capacity91.80%[194]
Bacillus cereus biomassAs3+Feed forward back propagationIsotherms and Kinetics128-43-0C0, m, T, tRemoval percentage85.24%[195]
Alga CladophoraMalachite greenThree layered feed forward back propagation (5-14-1)Equilibrium and Kinetics132-44-44C0, m, pH, t, TRemoval percentage100%[196]
Alga Xanthophyta spMalachite greenThree layered feed forward back propagation (5-12-1)Kinetic, RSM180-60-60C0, m, pH, T, tRemoval percentage100%[197]
Polyaniline (P)Sodium dodecyl benzene sulfonate (SDBS)Feed forward back propagation (5-5-5-1)Equilibrium69-0-69pH, m, T, t, vAdsorption capacityP- ZnCl2 29.5 mg/g, P-CuCl2 32.3 mg/g[198]
Leachate by hazelnut shellZn2+Three layered feed forward Levenberg–Marquardt back propagation (4-8-4)Kinetics100 datapH, m, T, tRemoval percentage98%[199]
Leucaena Leucocephala seedsNi2+Levenberg–Marquardt back propagationKinetics72-24-24C0, m, t, VRemoval percentage76.23%[200]
Black cuminPb2+Multi-Layer perceptrónEquilibrium, RSM (CCD)15-11-0T, m, pHAdsorption capacity8.08 mg/g[201]
Walnut huskLanaset red GMulti-layered feed forward (3-20-1)Kinetic278-65-65C0, pH, tAdsorption capacity187.74 mg/g[202]
Coconut shellIndigoFeed forward back propagation (6-5-5-1)Equilibrium152-21-0Type of adsorbent, pH, m, Ps, C0, type of activationRemoval percentage94.83%[203]
Activated carbonDirect blue 86Levenberg–Marquardt back propagation (5-(5-12)-1)Kinetics100-33-33C0, m, t, T, pH,Adsorption capacity2.26 mg/g[204]
OrganoclayReactive red 141Three layered feed forward scaled conjugate gradient back propagation (4-5-1)Kinetics85-15-0C0, t, m, TRemoval percentage100%[205]
Nanocellulose fibersPb2+Multi-layered feed forward Levenberg–Marquardt back propagationEquilibrium and Kinetics108-36-36C0, pH, m, t, VRemoval percentage94.21%[206]
Alga Lemna minor L.Acid blue 92Three layered feed forward back propagation (5-14-1)Kinetics57-17-17C0, m, pH, T, tRemoval percentage91%[207]
Acinetobacter sp. bacteriaCr6+Three-layered feed forward back propagation (3-7-1)Equilibrium and Kinetics48-22-0C0, m, tRemoval percentage90.91%[208]
EggshellsCrystal violetThree layered feed forward Levenberg–Marquardt back propagation (4-8-1)Equilibrium105-52-53pH, m, C0, TRemoval percentage99%[209]
Activated carbonPb2+Resilient back propagation (5-12-1)Kinetics10-5-5pH, C0, m, t, TRemoval percentage--[210]
Nanometer SiO2Mn2+, Co2+Hybrid ant colony optimization-ANN Levenberg–Marquardt (4-7-5-1 for Mn(II), 6-9-1 for Co(II))Kinetics37-10-10pH, m, t, concentration of 1-(2-pyridylazo)-2-naphtholRemoval percentageMn2+ 99 %, Co2+ 98%[211]
Zea mays Cob PowderAs3+, As5+Levenberg–Marquardt back propagation (4-14-1)Kinetics108-36-36C0, m, t, VRemoval percentageAs3+ 81.88 %, As5+ 92.61 %[212]
Moringa oleifera seedsMethylene blue, Congo redLevenberg–Marquardt back propagation (4-14-1)Kinetics108-36-36C0, m, t, VRemoval percentageMB 90.27%, CR 98.52%[213]
Carbon nanotubesMethylene blueThree layered feed forward Levenberg–Marquardt back propagation (5-10-1)Equilibrium and Kinetics43-21-21C0, m, T, pH, tFinal concentration0.3-36.79 mg/L[214]
Immobilized Bacillus subtilisCd2+Feed forward Levenberg–Marquardt back propagation (5-8-1)Equilibrium and Kinetics63-14-13C0, m, t, T, pHAdsorption capacity251.91 mg/g[215]
Co (III) oxide nanoparticle loaded on activated carbonEosin YMulti-layered feed forward - genetic algorithm (3-23-1)Kinetics176-38-38T, m, tRemoval percentage>90%[216]
Lemna major biomassCarbarylMulti-layered perceptron (4-6-1)Equilibrium and Kinetics, RSM22-0-7C0, pH, m, tRemoval percentage95%[217]
Chromolaena odorataTrichlorophenolTwo layered feed forward Levenberg–Marquardt back propagation (2-10-1)Kinetics-C0, tRemoval percentage99%[218]
Poly(vinyl alcohol) PVA/chitosan nanofiber membraneNi2+, Co2+Multi-layered perceptron (6-3-2-1)Equilibrium and kinetics70-30-0C0, t, pH, m, TRemoval percentageNi2+ 79.28%, Co2+ 77.12%[219]
Copper sulfide nanoparticles loaded on activated carbonReactive orange 12Principal component analysis-ANN Levenberg–Marquardt back propagation (3-12-1)Equilibrium and Kinetics182-39-39C0, m, tRemoval percentage99.54%[220]
Zn(OH)2 nanoparticles-activated carbonSunset yellowThree-layered feed-forward–Imperialist competitive (3-9-1)Equilibrium and Kinetics224-96-0C0, m, tRemoval percentage90%[221]
Gold nanoparticles loaded on activated carbon and activated carbon TamariskMethyl orangeThree layered feed forward Levenberg–Marquardt back-propagation and particle swarm (4-11-1)Equilibrium and Kinetics182-78-0C0, m, tRemoval percentage>98%[222]
Graphite oxide nanoparticleMethylene blue, Brilliant greenThree layered feed forward Levenberg–Marquardt back propagation and genetic algorithm (3-23-1)Equilibrium and Kinetics235-101-0C0, m, tRemoval percentageMB 97.4%, BG 97.3%[223]
Gold nanoparticles-activated carbon1,3,4-thiadiazole-2,5-dithiolAdaptive neuro-fuzzy inference system (3-9-27-27-1)Equilibrium and Kinetics168-72-0C0, m, tRemoval percentage>90 %[224]
ZnO NanoparticleAs3+Feed-Forward Levenberg–Marquardt back propagation (5-20-1)Equilibrium and Kinetics47-24-24C0, t, pH, m, vRemoval percentage98%[225]
Turkish ligniteMethylene blueThree-layered feed forward back propagation (6-14-1)Equilibrium and Kinetics60-20-20C0, t, m, pH, vAdsorption capacity41.94 mg/g[226]
ClinoptiloliteCu2+Three layered back propagation (3-11-1)Equilibrium and Kinetics63-14-13pH, T, C0Removal percentage>60%[227]
Activated carbonMethylene blueHybrid multi-layered perceptron - genetic algorithm (5-7-1)Equilibrium and Kinetics, RSM70-27-11pH, v, m, C0, tRemoval percentage99.75%[228]
Silver nanoparticlesMolybdenumHybrid ANN–particle swarm (4-12-1)Equilibrium and Kinetics187-31-42C0, pH, m, tRemoval percentage92.50%[229]
Borasus Flabellifer Coir PowderCr6+Feed forward back propagation (3-18-1)Equilibrium38-16-0pH, m, C0Removal percentage>95 %[230]
De-oiled algal biomassMethylene blueFeed forward Levenberg-Marquardt back propagation (6-10-1)Equilibrium and Kinetics369-79-79pH, m, v, T, C0Removal percentage>90 %[231]
HydrocharAcridine orange, Rhodamine 6GLevenberg–Marquardt back propagation (3-(1-25)-1)Equilibrium and Kinetics50-25-25T, t, pHAdsorption capacityAO 70.36 mg/g, R6G 60.13 mg/g[232]
Crab shellPb2+, Zn2+Multi-layered perceptron back propagationEquilibrium--Adsorption capacityPb2+ 564 mg/g, Zn2+ 71.46 mg/g[233]
Sargassum filipendulaNi2+, Cr3+Multi-layered feed forward (2-2-2-2)Equilibrium and Kinetics mono-Binary26 data for trainingCeAdsorption capacityNi2+ 1 mg/g, Cr3+ 2 mg/g[234]
Microcrystalline celluloseCr3+, Cr6+Multi-layered feed forward Levenberg–Marquardt back propagationEquilibrium and Kinetics160 dataC0, t, mRemoval percentageCr3+ 42.36%; Cr6+ 5.88%[235]
Light expended clay aggregateCu2+Three layered feed forward back propagation (4-4-1)Equilibrium and Kinetics RSM (CCD)27-8-0pH, T, C0, mAdsorption capacity113.64 mg/g[236]
Bamboo biocharAcid black 172Three layered feed forward Levenberg–Marquardt back propagationEquilibrium and Kinetics108-36-36pH, T, C0, t, ionic strengthAdsorption capacity81.88 mg/g[237]
Intercalated tartrate-Mg–Al layered double hydroxidesPb2+Hybrid multi-layered feed forward Levenberg–Marquardt back propagation – genetic algorithmEquilibrium19-3-3C0, t, m pHRemoval percentage99.32%[238]
BauxsolPhosphorusThree layered feed forward back propagation (3-5-1)Equilibrium17-5-0T, t, HCl concentrationAdsorption capacity55.72 mg/g[239]
Graphene oxide nanoplateletsSafraninThree layered feed forward back propagation (3-10-1)Equilibrium and Kinetics--pH, m, T, tRemoval percentage97.78%[240]
Walnut huskBasic red 46Three layered feed forward back propagation (5-25-1)Kinetics1469-345-346Ps, m, pH, C0, tAdsorption capacity66.45 mg/g[241]
BiomassNi2+, Co2+Multi-layered feed forwardEquilibrium and Kinetics70-30-0pH, m, tRemoval percentageNi2+ 90.25%, Co2+ 86.13%[242]
Activated carbonSunset yellowThree layered back propagation (3-(1-20)-1)Equilibrium and Kinetics218-47-47C0, m, tRemoval percentage>98 %[243]
Copper nanowires loaded on activated carbonMalachite greenHybrid three layered feed forward -genetic algorithm (3-(1-30)-1)Equilibrium and Kinetics186-62-0C0, m, tRemoval percentage99%[244]
Zinc sulfide nanoparticle loaded on activated carbonBrilliant greenThree-layered feed forward Levenberg–Marquardt back-propagation and hybrid ANN-particle swarm optimization (3-(1-35)-1)Equilibrium and Kinetics176-76-0C0, m, tRemoval percentage>80 %[245]
Gold and titanium dioxide nanoparticles loaded on activated carbonPhenol redHybrid three layered feed forward -genetic algorithmEquilibrium and Kinetics70-15-15pH, C0, m, tRemoval percentageTi-NP-AC (97.3%), Au-NP-AC (97.4%)[246]
Spent tea leavesCu2+Feed forward Levenberg–Marquardt back propagation (3-10-4-1)Equilibrium and Kinetics, RSM (CCD)12-4-4pH, m, tRemoval percentage96.12%[247]
Zinc oxide nanorods loaded on activated carbonSunset yellowLevenberg–Marquardt back propagation (3-6-1)Equilibrium and Kinetics189-81-0C0, m, tRemoval percentage98.89%[248]
Hybrid material (Ce-HAHCl)As3+Feed forward back propagation (6-7-1)Equilibrium and Kinetics60-40-0C0, m, pH, t, v, TRemoval percentage98.80%[249]
Cerium oxide polyaniline compositeCr6+Three layered feed forward back propagation (5-7-1)Equilibrium and Kinetics52-34-0C0, m, t, pH, TRemoval percentage93.90%[250]
Orange peel ashPhenolMulti-layer perceptron feed forward back propagation (6-6-1)Equilibrium and Kinetics--C0, pH, m, t, v, TRemoval percentage97.34%[251]
Apricot stones and corn cobCu2+Multi-layer perceptron and Levenberg–Marquardt back propagation (3-8-6)Equilibrium144-48-48C0, m, VRemoval percentage, adsorption capacity and CeAS 5.9 mg/g, CC 5.3 mg/g[252]
Sepiolite-stabilized zero-valent iron nanocompositeCr6+Three-layered feed forward, train scaled conjugate gradient (4-8-1)Kinetics71-23-23pH, C0, m, chloride ion concentration.Removal percentage99.78%[253]
Olive stonePb2+Neural fuzzy inference system and multi-layered feed forward back propagationEquilibrium27-3-0Chemical solution concentration for treatment, pH, C0Adsorption capacity25.45mg/g[254]
Azadirachta indica (neem) bark powderAs4+Three-layered feed forward (7-4-2)Kinetics14-7-7pH, t, C0, m, v, TRemoval percentage and adsorption capacity95%[255]
Biomass of Rhizopus arrhizusReactive orange 13Three-layered feed forward (4-3-1)Equilibrium and Kinetics25-0-5pH, m, C0, t, vAdsorption capacity132.63 mg/g[256]
Hyacinth roots, neem leaves and coconut shellsPb2+Levenberg–Marquardt back propagation and scaled conjugate gradientKinetics114 datapH, C0, m, t, type of adsorbentRemoval percentage98.67%[257]
Sargassum bevanom (S. bevanom) algaeHg2+Multi-layered feed forward, Levenberg–Marquardt back propagation (4-(4-7)-1)Equilibrium and Kinetics26-6-6m, C0, t, pH.Removal percentage90.24%[258]
Valonia tannin resinCd2+Four-layered fast artificial neural network (6-25-5-1)Equilibrium and Kinetics365-91-0T, pH, C0, v, Ps, tRemoval percentage63.29 mg/g[259]
ZnS nanoparticles loaded activated carbonBrilliant green, eosin BMulti-layered feed forward and Levenberg–Marquardt back propagationEquilibrium, Kinetics and RSM (CCD)41-0-13C0, t, mRemoval percentage100%[260]
Rice straw and Fe3O4 nanoparticlesPb2+, Cu2+Quick propagation, batch back propagation, genetic algorithm and Levenberg-Marquardt (3-9-2)Kinetics15-0-5C0, m, tRemoval percentagePb(II) 91.18%, Cu(II) 75.98%[261]
CaO2 nanoparticleBenzeneacetic acidMulti-layered perceptron feed forward (2-0-5-5-3)Equilibrium16 dataC0, mCe, amount of CaO2 and removal percentage97.47%[262]
Activated carbon (Bean husk)IbuprofenThree-layered feed forward back propagation (3-x-1)Equilibrium, Kinetics and RSM (CCD)20 dataC0, m, t, pH, v, TRemoval percentage99%[263]
Flax meal biomaterialCu2+Multi-layer feed forward perceptronEquilibrium, RSM (CCD)528 dataC0, m, pHRemoval percentage40.11 mg/g[264]
Zn(OH)2 nanoparticles on activated carbonMethylene blueMulti-layered feed forward Levenberg Marquardt back propagationEquilibrium, RSM (CCD)21-5-5C0, pH, m, tRemoval percentage98.70%[265]
Carbon nanotubeMicrocystins-LRThree-layered Levenberg–Marquardt back propagation (4-13-1)Kinetic46-10-10pH, C0, t, mRemoval percentage175.43 μg/g[266]
Copper oxide nanoparticle loaded on activated carbonPb2+, malachite greenThree-layered feed forward (5-20)-2)Isotherm, RSM (CCD)20-6-6C0, pH, t, mRemoval percentagePb2+ 98.33 mg/g, MG 87.72 mg/g[267]
Parthenium hysterophorus derived activated charRanitidine hydrochlorideFeed forward back-propagationKinetics, RSM (CCD)--C0, m, t, pH, T, vRemoval percentage99.65%[268]
Graphene oxideFluorideThree-layered feed forward, Levenberg–Marquardt back propagationKinetic and isotherm, RSM (CCD)14-2-4m, t, TRemoval percentage28.72 mg/g[269]
Tamarindus indicaAs3+Hybrid ANN-genetic algorithm (4-6-1)Kinetic, isotherm and RSM (CCD)24-0-7C0, t, pH, m, TAdsorption capacity91.10%[270]
Zn-loaded pinecone biocharAs3+Hybrid back propagation ANN-genetic algorithmKinetic and isotherm, RSM13-4-0C0, pH, ratio Ethanol - adsorbateAdsorption capacity10.47 μg/g[271]
Iron compositeAmido blackThree-layered feed forward (5-8-1)Kinetics60-20-20pH, t, C0, T, mRemoval percentage88%[272]
Iron/olivine compositeAs3+Multi-layered perceptron (5-(12-14)-1)Kinetics, RSM22-8-8C0, m, t, v, pHRemoval percentage99%[273]
Graphene-like carbonMethylene blueMulti-layered perceptron (4-13-1)Kinetics73-16-16C0, m, t, pHRemoval percentage20 mg/g[274]
Activated carbonNi2+ANN and adaptive neuro–fuzzy inference systemKinetic and isotherm420-90-90C0, t, pH, BET areaAdsorption capacity63.50 mg/g[275]
Activated carbon (Medlar seed)Cr2+Multi-layered perceptron back propagation (5-1-8)Kinetic and isotherm41-0-18pH, C0, m, tRemoval percentage200 mg/g[276]
Sunflower seed huskCu2+Levenberg–Marquardt back propagation (6-20-1)Kinetic and equilibrium119-39-39C0, flow rate, dosage and surfactant concentration, t, pH, TRemoval percentage--[277]
ChitosanAcid orange 7Multi-layer perceptron (4-5-1)Kinetic and isotherm, RSM26-4-4pH, C0, m, tRemoval percentage98%[278]
ZnO nanoparticles and copper-metal organic frameworksCyanideMulti-layer perceptron and Levenberg–Marquardt back propagation (1-35-5)Kinetic, isotherm, RSM70-15-15pH, t, T, m, C0Removal percentage6.34 mg/g[279]
Ho-CaWO4Methylene blueMulti-layer perceptron and Levenberg–Marquardt back propagation (4-8-1)Kinetics, RSM (CCD)15-3-3pH, t, m, C0Removal percentage71.17%[280]
Catecholamine/starchMethylene blueHybrid multi-layer feed forward - particle swarm (3-7-1)Kinetics, RSM (CCD)--pH, C0, tAdsorption capacity2276.5 mg/g[281]
Neodymium modified ordered mesoporous carbonSunset yellowThree-layered back propagationKinetic and isotherm47-10-10C0, t, mRemoval percentage--[282]
BiocharMethylene blueFeed forward back propagationIsotherm504-108-108Adsorbent type, Ps, C0, pyrolysis temperatureAdsorption capacity0.047 mmol/g[283]
Olive pipsPb2+Three-layered feed forward back propagationKinetic and equilibrium60-20-20T, t, pH, m, C0, vRemoval percentage99%[284]
Microwave-synthesized akaganeite nanoparticlesCongo redBack-propagationKinetic and isotherm27-5-5C0, t, mRemoval percentage>150 mg/g[285]

Nomenclature: adsorbent dosage (m), Box-Behnken Design (BBD), central composite design (CCD), final adsorbate concentration (Ce), initial adsorbate concentration (), particle size (Ps), response surface methodology (RSM), temperature (), time (), stirring rate (), and volume ().