Correction to: Protein-bound calcium phosphate in uremic rat serum: a quantitative study

Correction to: JBIC Journal of Biological Inorganic Chemistry https://doi.org/10.1007/s00775-020-01807-x

In the original article, few equations and units were published incorrectly. The correct equations and units are given below:

Page 5: In the first line of the note under Table 2, “Mean ± standard deviation.” should be “mean ± standard deviation (unit: mmol/L).”

Page 7: In Eq. (4), “$\frac{1}{{k_{{\text{j}}} \cdot t \cdot \left[ {{\text{pr}}} \right] }}$” should be “$\frac{1}{{K_{{\text{j}}} \cdot t \cdot \left[ {{\text{pr}}} \right] }}$”. The whole Eq. (4) should be present as:

$$ \frac{1}{{\left[ {{\text{prCa}}} \right]}} = \frac{1}{{K_{{\text{j}}} \cdot t \cdot \left[ {{\text{pr}}} \right] }} \cdot \frac{1}{{{\text{fCa}}}} + \frac{1}{{t \cdot \left[ {{\text{pr}}} \right]}} $$

(4)

Page 7: In Eq. (5), “0.63610–30.83” should be “0.636 × 10^–3 × 0.83”. The whole Eq. (5) should be present as:

$$ t = \left( {1/{\text{intercept}}} \right)/\left[ {{\text{pr}}} \right] = \left( {1/103} \right)/(0.636 \times 10^{ - 3} \times 0.83) = 18.4 \approx 18 $$

(5)

Page 8: In line 13 from bottom, “1.76” should be “1.76 mmol/L”.

Page 8: In line 12 from bottom, “0.636 × 10^–3” should be “0.636 × 10^–3 mol/L”.

Page 8: In Eq. (9b), “$\frac{{k_{a2} \left( {{\text{uPi}} - {\text{cPi}}} \right)}}{{\left[ {{\text{H}}^{ + } } \right] + K_{a2} }}$” should be “$\frac{{K_{a2} \left( {{\text{uPi}} - {\text{cPi}}} \right)}}{{\left[ {{\text{H}}^{ + } } \right] + K_{a2} }}$”. The whole Eq. (9b) should be present as:

$$ \left[ {{\text{HPO}}_{4}^{2 - } } \right] = \frac{{K_{a2} \left( {{\text{uPi}} - {\text{cPi}}} \right)}}{{\left[ {{\text{H}}^{ + } } \right] + K_{a2} }} = \frac{{(6.17 \times 10^{ - 8} )\left( {{\text{uPi}} - {\text{cPi}}} \right)}}{{\left( {3.98 + 6.17} \right) \cdot 10^{ - 8} }} = 0.608\left( {{\text{uPi}} - {\text{cPi}}} \right) $$

(9b)

Page 9: In the end of the paragraph above Eq. (12), “0.15 mmol/L:” should be “0.15 mmol/L.” A full stop.

Page 9: In Eq. (14), “1.7310^–3” should be “1.73 × 10^–3”. The whole Eq. (14) should be present as:

$$ \left[ {{\text{HPO}}_{{4}}^{{{2}{-}}} } \right]_{0} \equiv - {\text{Intercept}}/K_{{\text{m}}} = \, 0.{361}/{2}0{9 } = { 1}.{73} \times {1}0^{{ - {3}}} {\text{mol}}/{\text{L}} $$

(14)

Page 9: In Eq. (15), the two semicolons (;) should be deleted. The whole Eq. (15) should be present as:

$$ \left[ {{\text{HPO}}_{{4}}^{{{2}{-}}} } \right] - \, \left[ {{\text{HPO}}_{{4}}^{{{2}{-}}} } \right]_{0} > \, 0 \,\, \left( {\left[ {{\text{prPi}}} \right] \, > \, 0} \right) $$

(15)

Page 10: In Eq. (17a), “$\frac{1}{{\left[ {{\text{Ca}}} \right] \cdot \left( {\left[ {{\text{HPO}}_{4}^{2 - } } \right] - \left[ {{\text{HPO}}_{4}^{2 - } } \right]} \right) }}$” should be “$\frac{1}{{\left[ {{\text{Ca}}} \right] \cdot \left( {\left[ {{\text{HPO}}_{4}^{2 - } } \right] - \left[ {{\text{HPO}}_{4}^{2 - } } \right]_{0} } \right) }}$”. There is a subscript “0”. The whole Eq. (17a) should be present as:

$$ K = K_{j} K_{m} = \frac{{\left[ {{\text{prCa}}} \right]}}{{\left( {\left[ {t \cdot {\text{pr}}} \right] - \left[ {{\text{prCa}}} \right]} \right)}} \cdot \frac{{\left[ {{\text{prPi}}} \right]}}{{\left( {\left[ {{\text{prCa}}} \right] - \left[ {{\text{prPi}}} \right]} \right)}} \cdot \frac{1}{{\left[ {{\text{Ca}}} \right] \cdot \left( {\left[ {{\text{HPO}}_{4}^{2 - } } \right] - \left[ {{\text{HPO}}_{4}^{2 - } } \right]_{0} } \right) }} $$

(17a)