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Table 2 The formulations for the revised 4-variable and 9-variable CKD-EPI equations

From: Improving accuracy of estimating glomerular filtration rate using artificial neural network: model development and validation

SexSerum creatinine, mg/dLSerum cystatin C, mg/L4-variable equation9-variable equation
Female≤ 0.7≤ 0.9\(122 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.7}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.7}$}}} \right)^{ - 0.236} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.078} \times 0.995^{Age}\)\(154 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.7}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.7}$}}} \right)^{ - 0.262} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.045} \times 0.996^{Age} \times 0.985^{BMI} \times BUN^{0.006} \times 0.985^{ALB} \times 0.997^{UA} \times 1.012^{HGB}\)
 > 0.9\(122 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.7}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.7}$}}} \right)^{ - 0.236} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.381} \times 0.995^{Age}\)\(154 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.7}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.7}$}}} \right)^{ - 0.262} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.374} \times 0.996^{Age} \times 0.985^{BMI} \times BUN^{0.006} \times 0.985^{ALB} \times 0.997^{UA} \times 1.012^{HGB}\)
Female> 0.7≤ 0.9\(122 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.7}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.7}$}}} \right)^{ - 0.330} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.078} \times 0.995^{Age}\)\(154 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.7}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.7}$}}} \right)^{ - 0.320} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.045} \times 0.996^{Age} \times 0.985^{BMI} \times BUN^{0.006} \times 0.985^{ALB} \times 0.997^{UA} \times 1.012^{HGB}\)
 > 0.9\(122 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.7}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.7}$}}} \right)^{ - 0.330} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.381} \times 0.995^{Age}\)\(154 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.7}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.7}$}}} \right)^{ - 0.320} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.374} \times 0.996^{Age} \times 0.985^{BMI} \times BUN^{0.006} \times 0.985^{ALB} \times 0.997^{UA} \times 1.012^{HGB}\)
Male≤ 0.9≤ 0.9\(107 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.292} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.045} \times 0.996^{Age}\)\(103 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.347} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.099} \times 0.996^{Age} \times 0.982^{BMI} \times BUN^{0.125} \times 0.949^{ALB} \times 0.996^{UA} \times 1.027^{HGB}\)
 > 0.9\(107 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.292} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.397} \times 0.996^{Age}\)\(103 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.347} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.405} \times 0.996^{Age} \times 0.982^{BMI} \times BUN^{0.125} \times 0.949^{ALB} \times 0.996^{UA} \times 1.027^{HGB}\)
Male> 0.9≤ 0.9\(107 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.358} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.045} \times 0.996^{Age}\)\(103 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.391} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.099} \times 0.996^{Age} \times 0.982^{BMI} \times BUN^{0.125} \times 0.949^{ALB} \times 0.996^{UA} \times 1.027^{HGB}\)
 > 0.9\(107 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.358} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.397} \times 0.996^{Age}\)\(103 \times \left( {{\raise0.7ex\hbox{${Scr}$} \!\mathord{\left/ {\vphantom {{Scr} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.391} \times \left( {{\raise0.7ex\hbox{${Scys}$} \!\mathord{\left/ {\vphantom {{Scys} {0.9}}}\right.\kern-0pt} \!\lower0.7ex\hbox{${0.9}$}}} \right)^{ - 0.405} \times 0.996^{Age} \times 0.982^{BMI} \times BUN^{0.125} \times 0.949^{ALB} \times 0.996^{UA} \times 1.027^{HGB}\)
  1. CKD-EPI chronic kidney disease epidemiology collaboration, Scr serum creatinine, Scys serum cystatin C, BMI body mass index, BUN blood urea nitrogen, ALB albumin, UA uric acid, HGB hemoglobin