Table 7 Original kidney failure risk equations.

From: An independent validation of the kidney failure risk equation in an Asian population

Models

Equation

2-year risk prediction

8-variable

\(1 - 0.9780^{{{\exp}( - 0.1992 \times ({\text{age}}/10 - 7.036) + 0.1602 \times ({\text{male}} - 0.5642) - 0.4919 \times ({\text{eGFR}}/5 - 7.222) + 0.3364 \times ({\text{logACR}} - 5.137) - 0.3441 \times ({\text{albumin}} - 3.997) + 0.2604 \times ({\text{phosphorous}} - 3.916) - 0.07354 \times ({\text{TCO}}2 - 25.57) - 0.2228 \times ({\text{calcium}} - 9.355))}}\)

6-variable

\({1 }{-} \, 0.{975}0^{{{\exp}( - 0.{2218 } \times \, ({\text{age}}/{1}0 \, {-}{ 7}.0{36}) + \, 0.{2553 } \times \, \left( {{\text{male }}{-} \, 0.{5642}} \right) \, {-} \, 0.{5541 } \times \, \left( {{\text{eGFR}}/{5 }{-}{ 7}.{222}} \right) \, + \, 0.{4562 } \times \, \left( {{\text{logACR }}{-}{ 5}.{137}} \right) \, {-} \, 0.{1475 } \times \, \left( {{\text{DM }} - \, 0.{51}0{6}} \right) \, + \, 0.{1426 } \times \, \left( {{\text{HTN }}{-} \, 0.{85}0{1}} \right))}}\)

4-variable

\({1 }{-} \, 0.{975}0^{{{\exp}( - 0.{22}0{1 } \times \, ({\text{age}}/{1}0 \, {-}{ 7}.0{36}) + \, 0.{2467 } \times \, \left( {{\text{male }}{-} \, 0.{5642}} \right) \, {-} \, 0.{5567 } \times \, \left( {{\text{eGFR}}/{5 }{-}{ 7}.{222}} \right) \, + \, 0.{451}0 \, \times \, \left( {{\text{logACR }}{-}{ 5}.{137}} \right))}}\)

5-year risk prediction

8-variable

\({1 }{-} \, 0.{93}0{1}^{{{\exp}( - 0.{1992 } \times \, \left( {{\text{age}}/{1}0 \, {-}{ 7}.0{36}} \right) \, + \, 0.{16}0{2 } \times \, \left( {{\text{male }}{-} \, 0.{5642}} \right) \, {-} \, 0.{4919 } \times \, \left( {{\text{eGFR}}/{5 }{-}{ 7}.{222}} \right) \, + \, 0.{3364 } \times \, \left( {{\text{logACR }}{-}{ 5}.{137}} \right) \, {-} \, 0.{3441 } \times \, \left( {{\text{albumin }}{-}{ 3}.{997}} \right) \, + \, 0.{26}0{4 } \times \, \left( {{\text{phosphorous }}{-}{ 3}.{916}} \right) \, {-} \, 0.0{7354 } \times \, \left( {{\text{bicarbonate }}{-}{ 25}.{57}} \right) \, {-} \, 0.{2228 } \times \, ({\text{calcium }}{-}{ 9}.{355}))}}\)

6-variable

\({1 }{-} \, 0.{924}0^{{{\exp}( - 0.{2218 } \times \, \left( {{\text{age}}/{1}0 \, {-}{ 7}.0{36}} \right) \, + \, 0.{2553 } \times \, \left( {{\text{male }}{-} \, 0.{5642}} \right) \, {-} \, 0.{5541 } \times \, \left( {{\text{eGFR}}/{5 }{-}{ 7}.{222}} \right) \, + \, 0.{4562 } \times \, \left( {{\text{logACR }}{-}{ 5}.{137}} \right) \, {-} \, 0.{1475 } \times \, \left( {{\text{DM }}{-} \, 0.{51}0{6}} \right) \, + \, 0.{1426 } \times \, ({\text{HTN }}{-} \, 0.{85}0{1}))}}\)

4-variable

\({1} - 0.{924}0^{{{\exp}( - 0.{22}0{1 } \times \, \left( {{\text{age}}/{1}0 \, {-}{ 7}.0{36}} \right) \, + \, 0.{2467 } \times \, \left( {{\text{male }}{-} \, 0.{5642}} \right) \, {-} \, 0.{5567 } \times \, \left( {{\text{eGFR}}/{5 }{-}{ 7}.{222}} \right) \, + \, 0.{451}0 \, \times \, ({\text{logACR }}{-}{ 5}.{137}))}}\)

  1. ACR urine albumin-to-creatinine ratio, eGFR estimated glomerular filtration rate, DM diabetes mellitus, HTN hypertension.