Metal Bioavailability Models: Current Status, Lessons Learned, Considerations for Regulatory Use, and the Path Forward

Since the early 2000s, biotic ligand models and related constructs have been a dominant paradigm for risk assessment of aqueous metals in the environment. We critically review 1) the evidence for the mechanistic approach underlying metal bioavailability models; 2) considerations for the use and refinement of bioavailability-based toxicity models; 3) considerations for the incorporation of metal bioavailability models into environmental quality standards; and 4) some consensus recommendations for developing or applying metal bioavailability models. We note that models developed to date have been particularly challenged to accurately incorporate pH effects because they are unique with multiple possible mechanisms. As such, we doubt it is ever appropriate to lump algae/plant and animal bioavailability models; however, it is often reasonable to lump bioavailability models for animals, although aquatic insects may be an exception. Other recommendations include that data generated for model development should consider equilibrium conditions in exposure designs, including food items in combined waterborne-dietary matched chronic exposures. Some potentially important toxicity-modifying factors are currently not represented in bioavailability models and have received insufficient attention in toxicity testing. Temperature is probably of foremost importance; phosphate is likely important in plant and algae models. Acclimation may result in predictions that err on the side of protection. Striking a balance between comprehensive, mechanistically sound models and simplified approaches is a challenge. If empirical bioavailability tools such as multiple-linear regression models and look-up tables are employed in criteria, they should always be informed qualitatively and quantitatively by mechanistic models. If bioavailability models are to be used in environmental regulation, ongoing support and availability for use of the models in the public domain are essential. Environ Toxicol Chem 2019;39:60-84. © 2019 SETAC.

[1]  L. Balistrieri,et al.  Assessing time-integrated dissolved concentrations and predicting toxicity of metals during diel cycling in streams. , 2012, The Science of the total environment.

[2]  Jun Cao,et al.  Effects of pH and Ca competition on complexation of cadmium by fulvic acids and by natural organic ligands from a river and a lake , 2006 .

[3]  C. Wood,et al.  Effects of water chemistry variables on gill binding and acute toxicity of cadmium in rainbow trout (Oncorhynchus mykiss): A biotic ligand model (BLM) approach. , 2008, Comparative biochemistry and physiology. Toxicology & pharmacology : CBP.

[4]  P. Paquin,et al.  Biotic ligand model of the acute toxicity of metals. 1. Technical Basis , 2001, Environmental toxicology and chemistry.

[5]  A. Farag,et al.  Bioavailability and toxicity of dietborne copper and zinc to fish. , 2002, Comparative biochemistry and physiology. Toxicology & pharmacology : CBP.

[6]  J. Besser,et al.  Acute and chronic toxicity of lead in water and diet to the amphipod Hyalella azteca , 2005, Environmental toxicology and chemistry.

[7]  E. Tipping Humic Ion-Binding Model VI: An Improved Description of the Interactions of Protons and Metal Ions with Humic Substances , 1998 .

[8]  L. Balistrieri,et al.  Expanding metal mixture toxicity models to natural stream and lake invertebrate communities , 2015, Environmental toxicology and chemistry.

[9]  Trophic Strategies Influence Metal Bioaccumulation in Detritus-Based, Aquatic Food Webs. , 2018, Environmental science & technology.

[10]  C. Wood,et al.  Kinetic analysis of zinc accumulation in the gills of juvenile rainbow trout: Effects of zinc acclimation and implications for biotic ligand modeling , 2000 .

[11]  Colin R. Janssen,et al.  Effects of dissolved organic carbon concentration and source, pH, and water hardness on chronic toxicity of copper to Daphnia magna , 2004, Environmental toxicology and chemistry.

[12]  Lingtian Xie,et al.  Trophic transfer of Cd from natural periphyton to the grazing mayfly Centroptilum triangulifer in a life cycle test. , 2010, Environmental pollution.

[13]  M. Turner,et al.  A field study of cadmium dynamics in periphyton and in Hyalella azteca (crustacea: amphipoda) , 1993 .

[14]  C. Wood,et al.  Evaluating the ameliorative effect of natural dissolved organic matter (DOM) quality on copper toxicity to Daphnia magna: improving the BLM , 2012, Ecotoxicology.

[15]  Joseph S. Meyer,et al.  Protectiveness of Cu water quality criteria against impairment of behavior and chemo/mechanosensory responses: An update , 2018, Environmental toxicology and chemistry.

[16]  M. Leppänen,et al.  Soft and sour: The challenge of setting environmental quality standards for bioavailable metal concentration in Fennoscandinavian freshwaters , 2015 .

[17]  Colin R. Janssen,et al.  Effect of dissolved organic matter source on acute copper toxicity to Daphnia magna , 2004, Environmental toxicology and chemistry.

[18]  T. Ng,et al.  Can the biotic ligand model predict Cu toxicity across a range of pHs in softwater-acclimated rainbow trout? , 2010, Environmental science & technology.

[19]  C. Wood,et al.  Effects of continuous copper exposure and calcium on the olfactory response of fathead minnows. , 2012, Environmental science & technology.

[20]  D. S. Smith,et al.  A matter of potential concern: natural organic matter alters the electrical properties of fish gills. , 2008, Environmental science & technology.

[21]  R. de Marco,et al.  Continuous flow methods for evaluating the response of a copper ion selective electrode to total and free copper in seawater. , 1999, Journal of environmental monitoring : JEM.

[22]  Colin R. Janssen,et al.  The biotic ligand model: a historical overview. , 2002, Comparative biochemistry and physiology. Toxicology & pharmacology : CBP.

[23]  Adam C. Ryan,et al.  Development of biotic ligand model–based freshwater aquatic life criteria for lead following US Environmental Protection Agency guidelines , 2017, Environmental toxicology and chemistry.

[24]  P. Paquin,et al.  Validation study of the acute biotic ligand model for silver , 2007, Environmental toxicology and chemistry.

[25]  Thomas H Hutchinson,et al.  The ecological niche of Daphnia magna characterized using population growth rate. , 2008, Ecology.

[26]  Colin R. Janssen,et al.  The effect of pH on chronic aquatic nickel toxicity is dependent on the pH itself: Extending the chronic nickel bioavailability models , 2016, Environmental toxicology and chemistry.

[27]  G. K. Bielmyer,et al.  Toxicity of silver, zinc, copper, and nickel to the copepod Acartia tonsa exposed via a phytoplankton diet. , 2006, Environmental science & technology.

[28]  S. Lofts,et al.  Assessing WHAM/Model VII against field measurements of free metal ion concentrations: model performance and the role of uncertainty in parameters and inputs , 2011 .

[29]  E. Tipping,et al.  A unifying model of cation binding by humic substances , 1992 .

[30]  C. Wood,et al.  Chronic Toxicity of Binary Mixtures of Six Metals (Ag, Cd, Cu, Ni, Pb, and Zn) to the Great Pond Snail Lymnaea stagnalis. , 2018, Environmental science & technology.

[31]  L. Sigg,et al.  Comparison of the Complexation of Cu and Cd by Humic or Fulvic Acids and by Ligands Observed in Lake Waters , 1999 .

[32]  C. Wood,et al.  Branchial mechanisms of acclimation to metals in freshwater fish , 1993 .

[33]  R. Santore,et al.  Influence of dissolved organic carbon on toxicity of copper to a unionid mussel (Villosa iris) and a cladoceran (Ceriodaphnia dubia) in acute and chronic water exposures , 2011, Environmental toxicology and chemistry.

[34]  S. Lofts,et al.  Testing copper-speciation predictions in freshwaters over a wide range of metal-organic matter ratios. , 2013, Environmental science & technology.

[35]  H. Allen,et al.  Effect of kinetics of complexation by humic acid on toxicity of copper to Ceriodaphnia dubia , 1999 .

[36]  David Kistler,et al.  Model predictions of metal speciation in freshwaters compared to measurements by in situ techniques. , 2006, Environmental science & technology.

[37]  Colin R. Janssen,et al.  Predicting acute zinc toxicity for Daphnia magna as a function of key water chemistry characteristics: Development and validation of a biotic ligand model , 2002, Environmental toxicology and chemistry.

[38]  C. Mebane,et al.  Incubating Rainbow Trout in Soft Water Increased Their Later Sensitivity to Cadmium and Zinc , 2009 .

[39]  C. Wood,et al.  Mechanism of acute silver toxicity in Daphnia magna , 2003, Environmental toxicology and chemistry.

[40]  Colin R. Janssen,et al.  A biotic ligand model predicting acute copper toxicity for Daphnia magna: the effects of calcium, magnesium, sodium, potassium, and pH. , 2002, Environmental science & technology.

[41]  D. DeForest,et al.  Protectiveness of water quality criteria for copper in western United States waters relative to predicted olfactory responses in juvenile Pacific salmon , 2011, Integrated environmental assessment and management.

[42]  A. Chu,et al.  Field Evaluation of Mixing Length and Attenuation of Nutrients and Fecal Coliform in a Wastewater Effluent Plume , 2005, Environmental monitoring and assessment.

[43]  E. Tipping,et al.  Testing a humic speciation model by titration of copper-amended natural waters , 1998 .

[44]  Colin R. Janssen,et al.  Effects of Mg(2+) and H(+) on the toxicity of Ni(2+) to the unicellular green alga Pseudokirchneriella subcapitata: model development and validation with surface waters. , 2009, The Science of the total environment.

[45]  H. Bergman,et al.  Copper binding affinity of rainbow trout (Oncorhynchus mykiss) and brook trout (Salvelinus fontinalis) gills: Implications for assessing bioavailable metal , 1999 .

[46]  M. Khan,et al.  Zebra Mussels: Enhancement of Copper Toxicity by High Temperature and Its Relationship with Respiration and Metabolism , 2000 .

[47]  Emily R. Unsworth,et al.  Comparison of analytical techniques for dynamic trace metal speciation in natural freshwaters. , 2006, Environmental science & technology.

[48]  M. Vijver,et al.  Refinement and cross‐validation of nickel bioavailability in PNEC‐Pro, a regulatory tool for site‐specific risk assessment of metals in surface water , 2017, Environmental toxicology and chemistry.

[49]  C. Schlekat,et al.  Does the scientific underpinning of regulatory tools to estimate bioavailability of nickel in freshwaters matter? The European‐wide environmental quality standard for nickel , 2016, Environmental toxicology and chemistry.

[50]  J. McGeer,et al.  Development of a biotic ligand model to predict the acute toxicity of cadmium to Daphnia pulex. , 2010, Aquatic toxicology.

[51]  K. D. De Schamphelaere,et al.  Environmental risk assessment of zinc in European freshwaters: a critical appraisal. , 2009, The Science of the total environment.

[52]  P. Paquin,et al.  The biotic ligand model: a model of the acute toxicity of metals to aquatic life , 2000 .

[53]  E. Garman,et al.  Metal Mixtures Modeling Evaluation project: 1. Background , 2015, Environmental toxicology and chemistry.

[54]  W. Carson,et al.  Prediction of incipient lethal levels of copper to juvenile Atlantic Salmon in the presence of humic acid by cupric electrode , 1973, Bulletin of environmental contamination and toxicology.

[55]  E. Tipping,et al.  Comparison of measured and modelled copper binding by natural organic matter in freshwaters. , 2002, Comparative biochemistry and physiology. Toxicology & pharmacology : CBP.

[56]  Sheku Kamara,et al.  Dissolved humic substances – ecological driving forces from the individual to the ecosystem level? , 2006 .

[57]  A. Cairns,et al.  A review of the influence of low ambient calcium concentrations on freshwater daphniids, gammarids, and crayfish , 2009 .

[58]  Colin R. Janssen,et al.  The derivation of effects threshold concentrations of lead for European freshwater ecosystems , 2016, Environmental toxicology and chemistry.

[59]  P. Campbell,et al.  THE INFLUENCE OF pH ON ALGAL CELL MEMBRANE PERMEABILITY AND ITS IMPLICATIONS FOR THE UPTAKE OF LIPOPHILIC METAL COMPLEXES 1 , 2012, Journal of phycology.

[60]  Joseph S. Meyer,et al.  Relationship between biotic ligand model‐based water quality criteria and avoidance and olfactory responses to copper by fish , 2010, Environmental toxicology and chemistry.

[61]  D. S. Smith,et al.  Experimentally derived acute and chronic copper Biotic Ligand Models for rainbow trout. , 2017, Aquatic toxicology.

[62]  K. Wilkinson,et al.  When are metal complexes bioavailable , 2016 .

[63]  Duane A. Benoit,et al.  The effects of water chemistry on the toxicity of copper to fathead minnows , 1996 .

[64]  C. Wood,et al.  Characterization of the effects of binary metal mixtures on short-term uptake of Ag, Cu, and Ni by rainbow trout (Oncorhynchus mykiss). , 2016, Aquatic toxicology.

[65]  S. Ormerod,et al.  Toxicity of proton-metal mixtures in the field: linking stream macroinvertebrate species diversity to chemical speciation and bioavailability. , 2010, Aquatic toxicology.

[66]  P. Antunes,et al.  Lead toxicity to Lemna minor predicted using a metal speciation chemistry approach , 2014, Environmental toxicology and chemistry.

[67]  Mark A J Huijbregts,et al.  Integration of biotic ligand models (BLM) and bioaccumulation kinetics into a mechanistic framework for metal uptake in aquatic organisms. , 2010, Environmental science & technology.

[68]  P. Campbell,et al.  Uptake of hydrophobic metal complexes by three freshwater algae: unexpected influence of pH. , 2009, Environmental science & technology.

[69]  J. Hansen,et al.  Relative sensitivity of bull trout (Salvelinus confluentus) and rainbow trout (Oncorhynchus mykiss) to acute copper toxicity , 2002, Environmental toxicology and chemistry.

[70]  D. S. Smith,et al.  Investigating copper toxicity in the tropical fish cardinal tetra (Paracheirodon axelrodi) in natural Amazonian waters: Measurements, modeling, and reality. , 2016, Aquatic toxicology.

[71]  D. DeForest,et al.  Multiple linear regression models for predicting chronic aluminum toxicity to freshwater aquatic organisms and developing water quality guidelines , 2018, Environmental toxicology and chemistry.

[72]  Adam C. Ryan,et al.  Development and application of a biotic ligand model for predicting the chronic toxicity of dissolved and precipitated aluminum to aquatic organisms , 2018, Environmental toxicology and chemistry.

[73]  S. Lofts,et al.  Systematic analysis of freshwater metal toxicity with WHAM-FTOX. , 2019, Aquatic toxicology.

[74]  J. Woodling,et al.  Acclimation and Deacclimation of Brown Trout (Salmo trutta) to Zinc and Copper Singly and in Combination with Cadmium or Copper , 2014, Archives of Environmental Contamination and Toxicology.

[75]  P. Paquin,et al.  Comparison of short‐term chronic and chronic silver toxicity to fathead minnows in unamended and sodium chloride‐amended waters , 2007, Environmental toxicology and chemistry.

[76]  C. Wood,et al.  Biotic ligand model, a flexible tool for developing site-specific water quality guidelines for metals. , 2004, Environmental science & technology.

[77]  C. Wood,et al.  Physiological effects of chronic silver exposure in Daphnia magna. , 2002, Comparative biochemistry and physiology. Toxicology & pharmacology : CBP.

[78]  E. Garman,et al.  The mechanisms of nickel toxicity in aquatic environments: An adverse outcome pathway analysis , 2017, Environmental toxicology and chemistry.

[79]  Colin R. Janssen,et al.  Toward a biotic ligand model for freshwater green algae: surface-bound and internal copper are better predictors of toxicity than free Cu2+-ion activity when pH is varied. , 2005, Environmental science & technology.

[80]  Christopher A Mebane,et al.  Predicting the toxicity of metal mixtures. , 2014, The Science of the total environment.

[81]  C. Wood,et al.  A relationship between gill silver accumulation and acute silver toxicity in the freshwater rainbow trout: Support for the acute silver biotic ligand model , 2004, Environmental toxicology and chemistry.

[82]  D. S. Smith,et al.  Dissolved organic carbon from the upper Rio Negro protects zebrafish (Danio rerio) against ionoregulatory disturbances caused by low pH exposure , 2016, Scientific Reports.

[83]  S. Lofts,et al.  Comparison of four methods for bioavailability‐based risk assessment of mixtures of Cu, Zn, and Ni in freshwater , 2017, Environmental toxicology and chemistry.

[84]  C. Wood,et al.  Interactive effects of waterborne metals in binary mixtures on short-term gill-metal binding and ion uptake in rainbow trout (Oncorhynchus mykiss). , 2015, Aquatic toxicology.

[85]  R. Playle,et al.  Copper and Cadmium Binding to Fish Gills: Modification by Dissolved Organic Carbon and Synthetic Ligands , 1993 .

[86]  W. Stubblefield,et al.  Development and validation of a biotic ligand model for predicting chronic toxicity of lead to Ceriodaphnia dubia , 2014, Environmental toxicology and chemistry.

[87]  D. S. Smith,et al.  The two faces of DOC. , 2011, Aquatic toxicology.

[88]  K. D. De Schamphelaere,et al.  Zinc toxicity to the alga Pseudokirchneriella subcapitata decreases under phosphate limiting growth conditions. , 2016, Aquatic toxicology.

[89]  C. Wood,et al.  Heterogeneity of natural organic matter amelioration of silver toxicity to Daphnia magna: Effect of source and equilibration time , 2005, Environmental toxicology and chemistry.

[90]  Colin R. Janssen,et al.  Comparison of the capacity of two biotic ligand models to predict chronic copper toxicity to two Daphnia magna clones and formulation of a generalized bioavailability model , 2015, Environmental toxicology and chemistry.

[91]  M. Kayhanian,et al.  Toxicity of urban highway runoff with respect to storm duration. , 2008, The Science of the total environment.

[92]  Colin R. Janssen,et al.  Bioavailability models for predicting acute and chronic toxicity of zinc to algae, daphnids, and fish in natural surface waters , 2005, Environmental toxicology and chemistry.

[93]  Colin R. Janssen,et al.  Bioavailability models for predicting copper toxicity to freshwater green microalgae as a function of water chemistry. , 2006, Environmental science & technology.

[94]  Stephen Lofts,et al.  Humic Ion-Binding Model VII: a revised parameterisation of cation-binding by humic substances , 2011 .

[95]  G. K. Pagenkopf Gill surface interaction model for trace-metal toxicity to fishes: role of complexation, pH, and water hardness , 1983 .

[96]  V. Lenoble,et al.  Kinetic and equilibrium studies of copper-dissolved organic matter complexation in water column of the stratified Krka River estuary (Croatia) , 2009 .

[97]  H. Govers,et al.  Cadmium and Zinc Uptake by Two Species of Aquatic Invertebrate Predators from Dietary and Aqueous Sources , 1992 .

[98]  L. Hare,et al.  Relative importance of water and food as cadmium sources to the predatory insect Sialis velata (Megaloptera) , 1999 .

[99]  Colin R. Janssen,et al.  A framework for ecological risk assessment of metal mixtures in aquatic systems , 2018, Environmental toxicology and chemistry.

[100]  N. Fisher,et al.  Relating the reproductive toxicity of five ingested metals in calanoid copepods with sulfur affinity. , 2002, Marine environmental research.

[101]  D. DeForest,et al.  Use of Multiple Linear Regression Models for Setting Water Quality Criteria for Copper: A Complementary Approach to the Biotic Ligand Model. , 2017, Environmental science & technology.

[102]  W. Stubblefield,et al.  Development of biotic ligand models for chronic manganese toxicity to fish, invertebrates, and algae , 2011, Environmental toxicology and chemistry.

[103]  Colin R. Janssen,et al.  A bioavailability model predicting the toxicity of nickel to rainbow trout (Oncorhynchus mykiss) and fathead minnow (Pimephales promelas) in synthetic and natural waters. , 2007, Ecotoxicology and environmental safety.

[104]  Colin R. Janssen,et al.  Refinement and field validation of a biotic ligand model predicting acute copper toxicity to Daphnia magna. , 2002, Comparative biochemistry and physiology. Toxicology & pharmacology : CBP.

[105]  William H Clements,et al.  Validation of Bioavailability‐Based Toxicity Models for Metals , 2019, Environmental toxicology and chemistry.

[106]  S. Lofts,et al.  Testing WHAM‐FTOX with laboratory toxicity data for mixtures of metals (Cu, Zn, Cd, Ag, Pb) , 2015, Environmental toxicology and chemistry.

[107]  K. D. De Schamphelaere,et al.  Effect of temperature on chronic toxicity of copper, zinc, and nickel to Daphnia magna , 2016, Environmental toxicology and chemistry.

[108]  Graham Merrington,et al.  Best Practices for Derivation and Application of Thresholds for Metals Using Bioavailability‐Based Approaches , 2019, Environmental toxicology and chemistry.

[109]  Herbert E. Allen,et al.  Binding of Nickel and Copper to Fish Gills Predicts Toxicity When Water Hardness Varies, But Free-Ion Activity Does Not , 1999 .

[110]  D. S. Smith,et al.  Determination of cupric ion concentrations in marine waters: an improved procedure and comparison with other speciation methods , 2016 .

[111]  G. Chapman Acclimation as a Factor Influencing Metal Criteria , 1985 .

[112]  A. Hendriks,et al.  Temperature-dependent effects of cadmium on Daphnia magna: accumulation versus sensitivity. , 2003, Environmental science & technology.

[113]  L. Balistrieri,et al.  Larval aquatic insect responses to cadmium and zinc in experimental streams , 2017, Environmental toxicology and chemistry.

[114]  P. Hodson,et al.  Temperature-Induced Changes in Acute Toxicity of Zinc to Atlantic Salmon (Salmo salar) , 1975 .

[115]  Herbert E. Allen,et al.  Influence of dissolved organic matter on the toxicity of copper to Ceriodaphnia dubia: Effect of complexation kinetics , 1999 .

[116]  Stephen R. Parker,et al.  Diel biogeochemical processes and their effect on the aqueous chemistry of streams: A review , 2011 .

[117]  C. Wood,et al.  Water chemistry changes in the gill micro-environment of rainbow trout: experimental observations and theory , 1989, Journal of Comparative Physiology B.

[118]  C. Wood,et al.  Do you smell what I smell? Olfactory impairment in wild yellow perch from metal-contaminated waters. , 2009, Ecotoxicology and environmental safety.

[119]  R. Playle,et al.  A lead-gill binding model to predict acute lead toxicity to rainbow trout (Oncorhynchus mykiss). , 2002, Comparative biochemistry and physiology. Toxicology & pharmacology : CBP.

[120]  M. Twiss,et al.  Accumulation of natural organic matter on the surfaces of living cells: implications for the interaction of toxic solutes with aquatic biota , 1997 .

[121]  M. Croteau,et al.  Dietary Uptake of Cu Sorbed to Hydrous Iron Oxide is Linked to Cellular Toxicity and Feeding Inhibition in a Benthic Grazer. , 2016, Environmental science & technology.

[122]  Sheku Kamara,et al.  Dis­solved humic substances , 2006 .

[123]  Colin R. Janssen,et al.  A novel method for predicting chronic nickel bioavailability and toxicity to Daphnia magna in artificial and natural waters , 2008, Environmental toxicology and chemistry.

[124]  Colin R. Janssen,et al.  Development and field validation of a biotic ligand model predicting chronic copper toxicity to Daphnia magna , 2004, Environmental toxicology and chemistry.

[125]  D. DeForest,et al.  Application of U.S. EPA guidelines in a bioavailability‐based assessment of ambient water quality criteria for zinc in freshwater , 2012, Environmental toxicology and chemistry.

[126]  R. Playle,et al.  Copper and Cadmium Binding to Fish Gills: Estimates of Metal–Gill Stability Constants and Modelling of Metal Accumulation , 1993 .

[127]  C. Wood,et al.  Characterization of branchial lead-calcium interaction in the freshwater rainbow trout Oncorhynchus mykiss , 2004, Journal of Experimental Biology.

[128]  K. Farley,et al.  Metal Mixture Modeling Evaluation project: 3. Lessons learned and steps forward , 2015, Environmental toxicology and chemistry.

[129]  C. Wood,et al.  Modes of metal toxicity and impaired branchial ionoregulation in rainbow trout exposed to mixtures of Pb and Cd in soft water. , 2008, Aquatic toxicology.

[130]  C. Wood,et al.  A Physiologically Based Biotic Ligand Model for Predicting the Acute Toxicity of Waterborne Silver to Rainbow Trout in Freshwaters , 2000 .

[131]  Colin R. Janssen,et al.  Chronic toxicity of dietary copper to Daphnia magna. , 2007, Aquatic toxicology.

[132]  T. Ng,et al.  Interactions of waterborne and dietborne Pb in rainbow trout, Oncorhynchus mykiss: Bioaccumulation, physiological responses, and chronic toxicity. , 2016, Aquatic toxicology.

[133]  R. Playle Using multiple metal-gill binding models and the toxic unit concept to help reconcile multiple-metal toxicity results. , 2004, Aquatic toxicology.

[134]  Colin R. Janssen,et al.  Development and field validation of a predictive copper toxicity model for the green alga Pseudokirchneriella subcapitata , 2003, Environmental toxicology and chemistry.

[135]  U. Borgmann,et al.  Cadmium bioavailability to Hyalella azteca from a periphyton diet compared to an artificial diet and application of a biokinetic model. , 2013, Aquatic toxicology.

[136]  J. McGeer,et al.  Development of a biotic ligand model for the acute toxicity of zinc to Daphnia pulex in soft waters. , 2009, Aquatic toxicology.

[137]  T. Kinraide Plasma membrane surface potential (ψpm) as a determinant of ion bioavailability: A critical analysis of new and published toxicological studies and a simplified method for the computation of plant ψpm , 2006, Environmental toxicology and chemistry.

[138]  S. Lofts,et al.  Metal mixture toxicity to aquatic biota in laboratory experiments: application of the WHAM-FTOX model. , 2013, Aquatic toxicology.

[139]  J. R. Jones The Relative Toxicity of Salts of Lead, Zinc and Copper to the Stickleback (Gasterosteus Aculeatus L.) and the Effect of Calcium on the Toxicity of Lead and Zinc Salts , 1938 .

[140]  R. Playle,et al.  Modeling silver binding to gills of rainbow trout (Oncorhynchus mykiss) , 1995 .

[141]  Donald J Baird,et al.  Ecotoxicological responses of the mayfly Baetis tricaudatus to dietary and waterborne cadmium: Implications for toxicity testing , 2003, Environmental toxicology and chemistry.

[142]  C. Wood,et al.  Calcium/cadmium interactions at uptake surfaces in rainbow trout: Waterborne versus dietary routes of exposure , 2005, Environmental toxicology and chemistry.

[143]  K. D. De Schamphelaere,et al.  author-version of: Systematic evaluation of chronic metal-mixture toxicity to three species and implications for risk assessment , 2022 .

[144]  D. Mount,et al.  Bioavailability Assessment of Metals in Freshwater Environments: A Historical Review , 2019, Environmental toxicology and chemistry.

[145]  Adam C. Ryan,et al.  Evaluation of acute copper toxicity to larval fathead minnows (Pimephales promelas) in soft surface waters , 2005, Environmental toxicology and chemistry.

[146]  Adam Peters,et al.  Development of Empirical Bioavailability Models for Metals , 2019, Environmental toxicology and chemistry.

[147]  J. Lipton,et al.  Influence of flow-through and renewal exposures on the toxicity of copper to rainbow trout. , 2008, Ecotoxicology and environmental safety.

[148]  C. Wood,et al.  Mechanisms behind Pb-induced disruption of Na+ and Cl- balance in rainbow trout (Oncorhynchus mykiss). , 2005, American journal of physiology. Regulatory, integrative and comparative physiology.

[149]  Oscar E Natale,et al.  Application of the Biotic Ligand Model for Regulatory Purposes to Selected Rivers in Argentina with Extreme Water-Quality Characteristics , 2007, Integrated environmental assessment and management.

[150]  C. Wood,et al.  Effects of Chronic Waterborne and Dietary Metal Exposures on Gill Metal-Binding: Implications for the Biotic Ligand Model , 2003 .

[151]  N. Fisher,et al.  Reproductive toxicity of metals in calanoid copepods , 2001 .

[152]  W. Stubblefield,et al.  Cross-species extrapolation of chronic nickel Biotic Ligand Models. , 2010, The Science of the total environment.

[153]  C. Wood,et al.  Copper binding dynamics and olfactory impairment in fathead minnows (Pimephales promelas). , 2010, Environmental science & technology.

[154]  M. D. Kahl,et al.  Effects of laboratory test conditions on the toxicity of silver to aquatic organisms , 1998 .

[155]  J. Gustafsson,et al.  Evaluation of current copper bioavailability tools for soft freshwaters in Sweden. , 2015, Ecotoxicology and environmental safety.

[156]  Jon Petter Gustafsson,et al.  Modeling the Acid-Base Properties and Metal Complexation of Humic Substances with the Stockholm Humic Model , 2001 .

[157]  Adam C. Ryan,et al.  Metal Mixture Modeling Evaluation project: 2. Comparison of four modeling approaches , 2015, Environmental toxicology and chemistry.

[158]  N. Scholz,et al.  Chemosensory deprivation in juvenile coho salmon exposed to dissolved copper under varying water chemistry conditions. , 2008, Environmental science & technology.

[159]  Kathleen S. Smith,et al.  An enriched stable‐isotope approach to determine the gill‐zinc binding properties of juvenile rainbow trout (Oncorhynchus mykiss) during acute zinc exposures in hard and soft waters , 2009, Environmental toxicology and chemistry.

[160]  E. Tipping WHAM—a chemical equilibrium model and computer code for waters, sediments, and soils incorporating a discrete site/electrostatic model of ion-binding by humic substances , 1994 .

[161]  Connie J. Boese,et al.  Effects of dietborne copper and silver on reproduction by Ceriodaphnia dubia , 2009, Environmental toxicology and chemistry.

[162]  David G. Kinniburgh,et al.  Metal ion binding by humic acid : Application of the NICA-Donnan model , 1996 .

[163]  Joseph S. Meyer,et al.  Critical Review: Toxicity of Dietborne Metals to Aquatic Organisms , 2015 .

[164]  Colin R. Janssen,et al.  Development of a chronic zinc biotic ligand model for Daphnia magna. , 2005, Ecotoxicology and environmental safety.

[165]  P. Paquin,et al.  Biotic ligand model of the acute toxicity of metals. 2. Application to acute copper toxicity in freshwater fish and Daphnia , 2001, Environmental toxicology and chemistry.

[166]  P. Paquin,et al.  Influence of Varying Water Quality Parameters on the Acute Toxicity of Silver to the Freshwater Cladoceran, Ceriodaphnia dubia , 2017, Bulletin of Environmental Contamination and Toxicology.

[167]  D. S. Smith,et al.  Acute dysprosium toxicity to Daphnia pulex and Hyalella azteca and development of the biotic ligand approach. , 2016, Aquatic toxicology.