Figge-Fencl Quantitative Physicochemical Model
of Human Acid-Base Physiology (Version 3.0)
by James J. Figge, MD, MBA, FACP

Copyright 2003 - 2013 James J. Figge.
Published 8 October, 2012; updated on 28 April, 2013; updated on 27 October, 2013;
on www.Figge-Fencl.org and www.acid-base.org.


Titration Curve of Human Serum Albumin as Predicted by the Figge-Fencl Quantitative Physicochemical Model (Version 3.0)

titration curve

Figure 1. Hypothetical titration curve (red curve) of human serum albumin at 37 degrees Celsius and ionic strength of approximately 0.15 over the pH range 4 to 9, as predicted by the Figge-Fencl quantitative physicochemical model (version 3.0). This curve shows the intrinsic charge carried by the albumin molecule at a given pH (albumin's own charge) and does not account for charges introduced by complex formation with any inorganic ions such as calcium or chloride. Experimental data cover the pH range of 6.85 to 7.94. Calcium concentration ranges from 1.6 to 2.5 mmol / L. Data points outside of the experimental range represent a model-generated extrapolation. The predicted charge displayed by albumin is given in Eq / mol albumin. The predicted titration curve is plotted along with experimental data points of Fogh-Andersen, Bjerrum and Siggaard-Andersen, Clinical Chemistry, 1993; 39: 48-52 (blue diamonds). [ Full text is available online ]. These experimental data points of Fogh-Andersen and colleagues give the intrinsic charge carried by human albumin (albumin's own charge) at 37 degrees C in the presence of physiologic concentrations of NaCl, KCl, and CaCl2. Note the close agreement between the titration curve predicted by the Figge-Fencl model (version 3.0) and the experimental data points of Fogh-Andersen and colleagues. The predicted isoelectric point (pI) as calculated by the Figge-Fencl model (version 3.0) is: pI = 5.44. The isoelectric point is the pH at which albumin's intrinsic charge is zero. This value is in excellent agreement with the experimental data of Fogh-Andersen and colleagues who published an isoelectric point of pI = 5.4.

The data points of Tanford, one of the earliest published titration curves of human albumin at 37.8 degrees Celsius, are also plotted (green triangles). The original Tanford data, published in the Journal of the American Chemical Society, 1950; 72: 441-451, have been adjusted using a molecular weight of 66,500 for albumin.


Linear Regression Equation.

A least-squares linear regression fit to the Figge-Fencl quantitative physicochemical model (version 3.0) over the pH range of 6.90 to 7.90 yields the following equation for the charge displayed by albumin:

[ Albx- ] = -10 x [ Albumin ] x ( 0.123 x pH - 0.631 );

where [ Albx- ] is in mEq / L and [ Albumin ] is in g / dL. Therefore, at pH 7.40, the charge contributed by 4.40 g / dL of albumin is approximately -12.3 mEq / L.

A least-squares fit to the Figge-Mydosh-Fencl model over the stated range of pH values yields the same equation:

[ Albx- ] = -10 x [ Albumin ] x ( 0.123 x pH - 0.631 ).


Reference Data Set

Intrinsic charge displayed by human serum albumin as a function of pH, as predicted by the Figge-Fencl quantitative physicochemical model (version 3.0) and the Figge-Mydosh-Fencl model.

pH, Figge-Fencl model 3.0: Alb- (mEq / g), Alb- (Eq / mol), Figge-Mydosh-Fencl model: Alb- (mEq / g), Alb- (Eq / mol)

DATA 4.00, 0.664547875897672, 44.1924337471952, 0.659798183785891, 43.8765792217617
DATA 4.01, 0.656055215637373, 43.6276718398853, 0.651205819166493, 43.3051869745718
DATA 4.02, 0.647585417370334, 43.0644302551272, 0.642614842979165, 42.7338870581145
DATA 4.03, 0.639140535752526, 42.502845627543, 0.634027470832275, 42.1628268103463
DATA 4.04, 0.630722597989537, 41.9430527663042, 0.625445913391591, 41.5921532405408
DATA 4.05, 0.622333601865159, 41.385184524033, 0.616872374028479, 41.0220128728939
DATA 4.06, 0.613975513832628, 40.8293716698697, 0.608309046484196, 40.452551591199
DATA 4.07, 0.605650267172146, 40.2757427669477, 0.599758112555508, 39.8839144849413
DATA 4.08, 0.59735976021809, 39.724424054503, 0.591221739806817, 39.3162456971534
DATA 4.09, 0.589105854659042, 39.1755393348263, 0.582702079313825, 38.7496882743693
DATA 4.10, 0.580890373913566, 38.6292098652521, 0.574201263443692, 38.1843840190055
DATA 4.11, 0.57271510158433, 38.0855542553579, 0.565721403676487, 37.6204733444864
DATA 4.12, 0.564581779992956, 37.5446883695316, 0.55726458847256, 37.0580951334252
DATA 4.13, 0.556492108797666, 37.0067252350448, 0.548832881190314, 36.4973865991559
DATA 4.14, 0.548447743695546, 36.4717749557538, 0.540428318058659, 35.9384831509008
DATA 4.15, 0.540450295210952, 35.9399446315283, 0.532052906208222, 35.3815182628467
DATA 4.16, 0.532501327571319, 35.4113382834927, 0.523708621765173, 34.826623347384
DATA 4.17, 0.524602357671328, 34.8860567851433, 0.515397408011305, 34.2739276327518
DATA 4.18, 0.516754854126157, 34.3641977993894, 0.507121173613752, 33.7235580453145
DATA 4.19, 0.508960236414217, 33.8458557215454, 0.498881790927504, 33.175639096679
DATA 4.20, 0.501219874109561, 33.3311216282858, 0.49068109437359, 32.6302927758437
DATA 4.21, 0.493535086203835, 32.820083232555, 0.482520878895557, 32.0876384465545
DATA 4.22, 0.485907140517442, 32.3128248444099, 0.474402898496598, 31.5477927500237
DATA 4.23, 0.478337253199309, 31.809427337754, 0.466328864859406, 31.0108695131505
DATA 4.24, 0.47082658831441, 31.3099681229083, 0.458300446050555, 30.4769796623619
DATA 4.25, 0.463376257517998, 30.8145211249468, 0.450319265310923, 29.9462311431764
DATA 4.26, 0.455987319815231, 30.3231567677129, 0.442386899933409, 29.4187288455717
DATA 4.27, 0.44866078140474, 29.8359419634152, 0.434504880228903, 28.8945745352221
DATA 4.28, 0.441397595604407, 29.352940107693, 0.426674688581205, 28.3738667906501
DATA 4.29, 0.434198662857528, 28.8742110800256, 0.4188977585913, 27.8567009463214
DATA 4.30, 0.427064830817276, 28.3998112493488, 0.411175474311152, 27.3431690416916
DATA 4.31, 0.419996894507293, 27.929793484735, 0.403509169566901, 26.8333597761989
DATA 4.32, 0.412995596556061, 27.464207170978, 0.395900127371099, 26.3273584701781
DATA 4.33, 0.406061627502556, 27.00309822892, 0.38834957942338, 25.8252470316547
DATA 4.34, 0.39919562617061, 26.5465091403456, 0.380858705698707, 25.327103928964
DATA 4.35, 0.392398180109268, 26.0944789772663, 0.373428634122133, 24.8330041691218
DATA 4.36, 0.385669826096336, 25.6470434354063, 0.366060440328765, 24.3430192818629
DATA 4.37, 0.379011050702259, 25.2042348717002, 0.358755147507462, 23.8572173092462
DATA 4.38, 0.372422290911381, 24.7660823456069, 0.351513726326526, 23.375662800714
DATA 4.39, 0.365903934797577, 24.3326116640389, 0.344337094939564, 22.898416813481
DATA 4.40, 0.359456322251242, 23.9038454297076, 0.337226119069423, 22.4255369181166
DATA 4.41, 0.353079745754548, 23.4798030926774, 0.330181612168027, 21.9570772091738
DATA 4.42, 0.346774451201882, 23.0605010049252, 0.323204335649738, 21.4930883207076
DATA 4.43, 0.340540638762391, 22.645952477699, 0.316294999195796, 21.0336174465204
DATA 4.44, 0.334378463781514, 22.2361678414707, 0.309454261127183, 20.5787083649577
DATA 4.45, 0.328288037718439, 21.8311545082762, 0.302682728843272, 20.1284014680776
DATA 4.46, 0.322269429116431, 21.4309170362427, 0.295980959323393, 19.6827337950056
DATA 4.47, 0.316322664603002, 21.0354571960996, 0.289349459688501, 19.2417390692853
DATA 4.48, 0.310447729916939, 20.6447740394764, 0.282788687819965, 18.8054477400277
DATA 4.49, 0.304644570959269, 20.2588639687914, 0.276299053032499, 18.3738870266612
DATA 4.50, 0.298913094865275, 19.8777208085408, 0.269880916798185, 17.9470809670793
DATA 4.51, 0.293253171094745, 19.5013358778006, 0.263534593518546, 17.5250504689833
DATA 4.52, 0.287664632537725, 19.1296980637587, 0.257260351341556, 17.1078133642135
DATA 4.53, 0.282147276633092, 18.7627938961006, 0.251058413020519, 16.6953844658645
DATA 4.54, 0.276700866497367, 18.4006076220749, 0.244928956811727, 16.2877756279798
DATA 4.55, 0.271325132061258, 18.0431212820736, 0.238872117407817, 15.8849958076198
DATA 4.56, 0.266019771211522, 17.6903147855662, 0.232887986903793, 15.4870511291023
DATA 4.57, 0.260784450935819, 17.3421659872319, 0.226976615792694, 15.0939449502141
DATA 4.58, 0.255618808468328, 16.9986507631438, 0.221138013987934, 14.7056779301976
DATA 4.59, 0.250522452433999, 16.6597430868609, 0.2153721518694, 14.3222480993151
DATA 4.60, 0.245494963989401, 16.3254151052951, 0.209678961350433, 13.9436509298038
DATA 4.61, 0.240535897958239, 15.9956372142229, 0.204058336962901, 13.5698794080329
DATA 4.62, 0.235644783959712, 15.6703781333209, 0.19851013695763, 13.2009241076824
DATA 4.63, 0.230821127527978, 15.3496049806106, 0.19303418441753, 12.8367732637657
DATA 4.64, 0.226064411221101, 15.0332833462032, 0.187630268380858, 12.477412847327
DATA 4.65, 0.221374095717962, 14.7213773652445, 0.182298144972112, 12.1228266406454
DATA 4.66, 0.216749620901708, 14.4138497899636, 0.177037538538168, 11.7729963127882
DATA 4.67, 0.212190406928412, 14.1106620607394, 0.17184814278734, 11.4279014953581
DATA 4.68, 0.207695855279739, 13.8117743761027, 0.166729621929164, 11.0875198582894
DATA 4.69, 0.203265349798465, 13.5171457615979, 0.161681611812772, 10.7518271855493
DATA 4.70, 0.198898257705854, 13.2267341374393, 0.15670372106186, 10.4207974506137
DATA 4.71, 0.194593930599933, 12.9404963848955, 0.151795532204314, 10.0944028915869
DATA 4.72, 0.190351705433831, 12.6583884113498, 0.14695660279469, 9.7726140858469
DATA 4.73, 0.186170905473439, 12.3803652139837, 0.142186466527831, 9.45540002410075
DATA 4.74, 0.182050841233704, 12.1063809420413, 0.137484634342006, 9.14272818374342
DATA 4.75, 0.177990811393001, 11.8363889576345, 0.132850595510069, 8.8345646014196
DATA 4.76, 0.173990103685056, 11.5703418950562, 0.12828381871721, 8.53087394469446
DATA 4.77, 0.170047995768023, 11.3081917185735, 0.123783753124008, 8.23161958274656
DATA 4.78, 0.166163756070348, 11.0498897786781, 0.119349829413558, 7.93676365600158
DATA 4.79, 0.162336644613163, 10.7953868667754, 0.114981460821555, 7.64626714463343
DATA 4.80, 0.158565913808992, 10.544633268298, 0.110678044148334, 7.3600899358642
DATA 4.81, 0.154850809236631, 10.2975788142359, 0.106438960751894, 7.07819089000097
DATA 4.82, 0.151190570392137, 10.0541729310771, 0.102263577521121, 6.80052790515457
DATA 4.83, 0.147584431415897, 9.81436468915715, 9.81512478284101E-02, 6.52705798058927
DATA 4.84, 0.144031621795818, 9.57810284942186, 9.41013124610449E-02, 6.25773727865948
DATA 4.85, 0.140531367046731, 9.3453359086076, 9.01131005307476E-02, 5.99252118529471
DATA 4.86, 0.137082889366155, 9.11601214284929, 8.61859303608861E-02, 5.73136436899892
DATA 4.87, 0.1336854082666, 8.89007964972892, 8.23191103509162E-02, 5.47422083833593
DATA 4.88, 0.130338141184645, 8.66748638877888, 7.85119398176951E-02, 5.22104399787672
DATA 4.89, 0.12704030406706, 8.44818022045948, 7.47637098133885E-02, 4.97178670259033
DATA 4.90, 0.123791111934282, 8.23210894362974, 7.10737039197441E-02, 4.72640131066298
DATA 4.91, 0.120589779421592, 8.01922033153586, 0.067441199018581, 4.48483973473564
DATA 4.92, 0.117435521298343, 7.80946216633979, 6.38654660383939E-02, 4.24705349155319
DATA 4.93, 0.114327552965679, 7.60278227221763, 6.03457706770368E-02, 4.01299375002294
DATA 4.94, 0.11126509093313, 7.39912854705316, 0.056881374100497, 3.78261137768305
DATA 4.95, 0.10824735327457, 7.19844899275892, 5.34715336178349E-02, 3.55585698558602
DATA 4.96, 0.105273560063968, 7.00069174425389, 5.01155033323827E-02, 3.33268097160345
DATA 4.97, 0.102342933791461, 6.80580509713219, 4.68125347693814E-02, 3.11303356216386
DATA 4.98, 9.94546997602114E-02, 6.61373753405406, 4.35618774802356E-02, 2.89686485243567
DATA 4.99, 9.66080864645931E-02, 6.42443774989544, 4.03627796236349E-02, 2.68412484497172
DATA 5.00, 9.38023259502081E-02, 6.23785467568884, 3.72144885238059E-02, 2.47476348683309
DATA 5.01, 9.10366541562825E-02, 6.05393750139279, 0.034116251206195, 2.26873070521197
DATA 5.02, 8.83103112409688E-02, 5.87263569752443, 3.10673149109321E-02, 2.06597644157698
DATA 5.03, 0.085622541890107, 5.69389903569211, 2.80669275844081E-02, 1.86645068436314
DATA 5.04, 8.29725956099738E-02, 5.51767760806326, 2.51143383493772E-02, 1.67010350023359
DATA 5.05, 8.03597270045858E-02, 5.34392184580495, 2.22087979539669E-02, 1.4768850639388
DATA 5.06, 0.077783196038076, 5.17258253653205, 1.93495592000381E-02, 1.28674568680253
DATA 5.07, 0.075242268282704, 5.00361084079982, 1.65358773513193E-02, 1.09963584386274
DATA 5.08, 7.27362151530224E-02, 4.83695830767599, 1.37670105217916E-02, 0.915506199699143
DATA 5.09, 7.02643141267306E-02, 4.67257688942758, 1.10422200447676E-02, 0.734307632977048
DATA 5.10, 6.78258489527429E-02, 4.5104189553574, 8.36077082316646E-03, 0.55599125974057
DATA 5.11, 6.54201098469769E-02, 4.35043730482396, 5.72193166145691E-03, 0.380508455486884
DATA 5.12, 6.30463936763723E-02, 4.19258517947876, 3.12497557976707E-03, 0.20781087605451
DATA 5.13, 6.07040041316207E-02, 4.03681627475277, 5.69180110657022E-04, 0.037850477358692
DATA 5.14, 5.83922518891012E-02, 3.88308475062523, -1.94617242093806E-03, -0.129420465992381
DATA 5.15, 5.61104547624772E-02, 3.73134524170473, -4.42179463410385E-03, -0.294049343167906
DATA 5.16, 5.38579378444131E-02, 3.58155286665347, -6.85839384416116E-03, -0.456083190636717
DATA 5.17, 5.16340336388459E-02, 3.43366323698325, -9.25667183021956E-03, -0.6155686767096
DATA 5.18, 4.94380821842431E-02, 3.28763246525217, -1.16173246175465E-02, -0.772552087066842
DATA 5.19, 4.72694311682487E-02, 3.14341717268854, -1.39410422742763E-02, -0.927079311239371
DATA 5.20, 4.51274360341087E-02, 3.00097449626823, -1.62285087219561E-02, -1.07919583001008
DATA 5.21, 4.30114600792588E-02, 2.86026209527071, -1.84804015594525E-02, -1.22894670370359
DATA 5.22, 0.040920874546426, 2.72123815733733, -2.06973918997315E-02, -1.37637656133214
DATA 5.23, 3.88550587075915E-02, 2.58386140405484, -2.28801442190544E-02, -1.52152959056712
DATA 5.24, 3.68133999411378E-02, 2.44809109608566, -0.025029316218109, -1.66444952850425
DATA 5.25, 3.47952938024828E-02, 2.31388703786511, -0.027145558694644, -1.80517965319383
DATA 5.26, 3.28001440885001E-02, 2.18120958188525, -2.92295154271475E-02, -1.94376277590531
DATA 5.27, 3.08273628959912E-02, 2.05001963258342, -3.12818230691415E-02, -2.08024123409791
DATA 5.28, 2.88763706744674E-02, 1.92027864985208, -3.33031110536722E-02, -2.2146568850692
DATA 5.29, 2.69465962734817E-02, 1.79194865218653, -3.52940015075799E-02, -2.34705110025406
DATA 5.30, 2.50374769847281E-02, 1.66499221948442, -0.037255109175152, -2.4774647601476
DATA 5.31, 2.31484585791206E-02, 1.53937249551152, -3.91870413507662E-02, -2.60593824982595
DATA 5.32, 2.12789953390315E-02, 1.4150531900456, -4.10903978201533E-02, -2.7325114550402
DATA 5.33, 1.94285500858737E-02, 1.2919985807106, -4.29657708099027E-02, -2.85722375885853
DATA 5.34, 1.75965942031755E-02, 1.17017351451117, -4.48137449448733E-02, -2.98011403883408
DATA 5.35, 1.57826076552956E-02, 1.04954340907716, -4.66348972131546E-02, -3.10122066467478
DATA 5.36, 1.39860790019111E-02, 0.930074253627088, -4.84297969382551E-02, -3.22058149639396
DATA 5.37, 1.22065054083829E-02, 0.811732609657464, -5.01990057581992E-02, -3.33823388292025
DATA 5.38, 1.04433926521148E-02, 0.694485611365634, -5.19430776112304E-02, -3.45421466114682
DATA 5.39, 8.69625512498279E-03, 0.578300965811355, -5.36625587278181E-02, -3.5685601553999
DATA 5.40, 6.96461583192895E-03, 0.463146952823275, -5.53579876286944E-02, -3.68130617730817
DATA 5.41, 5.2480063857673E-03, 0.348992424653525, -5.70298951286448E-02, -3.79248802605488
DATA 5.42, 3.54596699827794E-03, 0.235806805385483, -5.86788043457901E-02, -3.90214048899504
DATA 5.43, 1.85804646762471E-03, 0.123560090097043, -6.03052307161167E-02, -4.01029784262176
DATA 5.44, 1.83802162140096E-04, 1.22228437823164E-02, -6.19096820130052E-02, -4.11699385386485
DATA 5.45, -1.47719999949041E-03, -9.82337999661125E-02, -6.34926583715356E-02, -4.22226178170712
DATA 5.46, -3.12538557162376E-03, -0.20783814051298, -6.50546523173426E-02, -4.32613437910328
DATA 5.47, -4.7611716086141E-03, -0.316617911972837, -6.65961487998154E-02, -4.42864389518772
DATA 5.48, -6.38496669531368E-03, -0.42460028523836, -6.81176252294314E-02, -4.52982207775719
DATA 5.49, -7.99717098111903E-03, -0.531811870244416, -0.069619551519036, -4.62970017601589
DATA 5.50, -9.59817621754535E-03, -0.638278718466766, -7.11023901288769E-02, -4.72830894357031
DATA 5.51, -1.11883657993434E-02, -0.744026325656339, -7.25665961152168E-02, -4.82567864166192
DATA 5.52, -1.27681148091486E-02, -0.849079634808381, -7.40126171823486E-02, -4.92183904262618
DATA 5.53, -0.014337790065672, -0.953463039367191, -7.54408937378487E-02, -5.01681943356694
DATA 5.54, -1.58977501754307E-02, -1.05720038666614, -7.68518589509095E-02, -5.11064862023548
DATA 5.55, -1.74483455880284E-02, -1.16031498160389, -7.82459388135931E-02, -5.20335493110394
DATA 5.56, -0.018989918654985, -1.2628295905565, -7.96235522048597E-02, -5.29496622162317
DATA 5.57, -2.05228036921126E-02, -1.36476644552549, -8.09851109572248E-02, -5.38550987865545
DATA 5.58, -2.20473270454462E-02, -1.46614724852217, -8.23310199259068E-02, -5.4750128250728
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