SlideShare a Scribd company logo
Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013
DOI: 10.5121/hiij.2013.2201 1
MODELING ALGORITHM OF ESTIMATION OF RENAL
FUNCTION BY THE COCKCROFT AND MDRD
FORMULAS
Boumediene Selma1
, Samira Chouraqui2
, Ahmed GHALI3
1
Department of Computer Science, Faculty of Science. University of Science and
Technology "Mohamed Boudiaf" USTO Oran. 31000, Algeria
selma.boumediene@yahoo.fr
2
Department of Computer Science, Faculty of Science. University of Science and
Technology "Mohamed Boudiaf" USTO Oran. 31000, Algeria
s_chouraqui@yahoo.fr
2
Department of Computer Science, Faculty of Science. University of Science and
Technology "Mohamed Boudiaf" USTO Oran. 31000, Algeria
ahmed.gh@hotmail.fr
ABSTRACT
The purpose of this study was to determine the concordance between two equations used for estimating
glomerular filtration rate, in order to verify the possibility to be used interchangeably in the clinical
practice. The two equations are of Cockcroft & Gault (CG) (1976) formula and MDRD (modification of
Diet in Renal Disease) (1999) formula, these two models allow the assessment of glomerular filtration rate
(GFR) by calculating creatinine clearance (CLCR).To make a comparison between these two formulas
different models were examined for Subjects with normal renal function, Patients with renal impairment,
Diabetic patients, Age and sex, finally lean and obese patients by modeling two algorithms with the two
functions. Results show that the formula of Cockcroft & Gault remains the method of choice for estimating
renal function in clinical practice.
KEYWORDS
Cockcroft-Gault formula, MDRD formula, GFR, creatinine, renal function.
1. INTRODUCTION
Glomerular filtration rate (GFR) is an important tool for kidney evaluation, in order to detect the
early impairment of renal function, to allow correct dosage of drugs cleared by the kidneys or to
evaluate patients before transplantation or before using potentially nephrotoxic radiographic
contrast media
.For clinical application, the assessment of renal function needs to be accurate, inexpensive and
easy to apply. For this reason, in an attempt to find the best method to calculate GFR, a variety of
formulas have been developed.
Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013
2
The use of these formulas is recommended by ANAES and the National Kidney Foundation for
the diagnosis of chronic renal disease [1] [2]. Overall, the MDRD formula [3] significantly
underestimates GFR "real" about 1 ml/min/1, 73m2
, while the CG formula [4] significantly
overestimates of about 2 ml/min/1,73m2
[5].
Much work has been done recently to make the comparison between these two formulas changing
in these equations [6] [7] [8] and with different conditions of patients which is relative with GFR
[9] [10] [11].
Currently, little information has been published on the performance of the CG and MDRD
equations in the elderly (age > 65 years), lean and obese, individuals with liver disease.
The paper is divided in four sections, the fist one is the introduction, secondly cover the
recognition chronic kidney disease. Cockcroft & Gault model and MDRD algorithm are presented
in section three. The last one gives Comparison of two algorithms using different cases of
patients.
2. RECOGNITION CHRONIC KIDNEY DISEASE
Recent recommendations proposed by the research group K / DOQI (Kidney Disease Outcome
Quality Initiative) of the National Kidney Foundation and American international occasions by
the group KDIGO (Kidney Disease Improving Global Outcomes), have established classification
into 5 stages of chronic kidney disease by level of GFR [12], whatever its cause. This
classification is associated with an action plan tailored to different clinical stages of kidney
disease, the goal is to slow the progression of it and treat its complications [13].
It is therefore necessary to assess the GFR of a patient to use this classification.Creatinine
depends also on its rate of production from the muscle creatine, flow is proportional to the mass
of striated muscle of the subject: it must always be interpreted in terms of this parameter. Several
formulas for estimating GFR have been developed using creatinine and correction factors
expected to take into account the interindividual variation in creatinine production by muscle
mass [14].
Table 1. Classification of determining the severity of CKD based on the GFR (ml/min/1, 73m2
)
stage description
1 Suffering kidney GFR ≥ 90 + mL/min/1,73 m2
2 Suffering kidney GFR 60-89 + mL/min/1,73 m2
3 GFR 30-59 mL/min/1,73 m2
4 GFR 15-29 mL/min/1,73 m2
5 GFR < 15 mL/min/1,73 m2
3. MODELING
Formula for estimating GFR is only usable for a stable serum creatinine and is not applicable in
case of acute variation thereof. The two most commonly used are those of Cockcroft and Gault
and the data derived from the study MDRD (Modification of Diet in Renal Disease). These
formulas dedicated to the adult population.
Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013
3
3.1. Model algorithm of Cockcroft and Gault
The CG was described in 1976 from 249 men hospitalized. It uses serum creatinine, as well as
age, weight and sex of the subject as an indicator of muscle mass [4].
The first algorithm is then written:
Input: Age, weight, creatinine
SYSTEM with the factors related to sex A and F: constants such as;
A = 1.23 in men and 1.04 in women.
F = 1 in men and 0.85 in women.
If serum creatinine then
End if
Output: the creatinine clearance (CLCR).
This formula estimates GFR not, but the renal clearance of creatinine mL / min. This is higher
than the GFR because creatinine is not only filtered by the glomeruli but also secreted by the
renal tubules, and this proportion especially as renal function is impaired. Its advantage is its ease
of calculation, but it has several limitations: it overestimates GFR in obese subjects, very thin or
edematous, and underestimated in the elderly. Indeed, age and weight are not good indicators of
muscle mass in these situations. Finally, it tends to underestimate the functional value of the
patients with normal renal function.
• It is currently recommended to estimate renal function in daily practice by a formula using
creatinine.
• This estimate only applies to a steady state of creatinine.
• The MDRD formula showed an overall performance.
3.2. Model algorithm MDRD
MDRD formula has been described as in 1999 from 1628 patients with chronic kidney disease. In
its latest version, published in 2006 [15], it uses serum creatinine, as well as age, sex and ethnicity
for African-Americans as indicators of muscle mass. In an effort to standardize assays, whose
variability has recently been recognized as significant cause errors of estimate GFR, serum
creatinine measured by the laboratory must be standardized in relation to mass spectrometry to be
used in the formula. This normalization is gradual implementation in laboratories, as was done a
few years ago.
Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013
4
The second algorithm is then written:
Input: Age, weight, creatinine
SYSTEM with a factor related to sex A and ethnicity factor S: constants such as;
A = 1 in men and 0.742 in women.
S = 1.210 if African American subject.
This formula estimates GFR in mL/min/1,73 m2
. Its performance is good in the elderly and obese.
Its boundaries are an overestimation of GFR in patients very thin, and a tendency to
underestimate in healthy subjects. There is however no systematic bias related to patient age [5].
4. COMPARISON OF TWO ALGORITHMS
4.1. Subjects with normal renal function: there is no significant difference between CG and
MDRD formulas [5], [16] despite the difference may seem large in absolute terms.
Table 2. Difference between CG and MDRD in subjects with normal renal function.
GFR gap "true"
(ml/min/1, 73m2
)
MDRD CG
[5] [16] [5] [16]
-6,2 -9 -0,3 +1,9
4.2. Patients with renal impairment: The MDRD allow a better estimate of GFR than the
CG formula.
Table 3. Difference between CG and MDRD in Patients with renal impairment
GFR gap "true"
(ml/min/1,73m2
)
MDRD CG
[5] [16] [5] [16]
>60 -0,8 -3,5 +0,9 +7,9
30-60 +0,6 -1,6 +2,6 +4,5
15-30 +2,3 -0,2 +4,9 +2,9
<15 +2,4 +5,2
Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013
5
Moreover, the classification of patients according to the severity of their renal failure was more
accurate with the MDRD formula: respectively 29.2 and 32.4% of patients were misclassified
when renal function was estimated with the MDRD formula or CG [5].
4.3. Diabetic patients: patients with and without diabetes, the MDRD GFR is closer to "true"
that the CG formula [16].
Table 3. Difference between CG and MDRD in patients with and without diabetes.
GFR gap "true"
(ml/min/1,73m2
)
MDRD CG
Diabetics -0,2 +4,2
Nondiabetic -0,9 +3,1
4.4. Age and sex [5]: in humans, the MDRD formula is better than the CG. In women, the CG
formula may be better in some cases.
Table 4. Difference between CG and MDRD in Age and sex.
GFR gap "true"
(ml/min/1,73m2
)
MDRD CG
H F H F
GFR ≥60 ≥65 ans -5,9 -1,6 -
14,5
-
10,7
<65 ans -0,6 -6,1 +3,2 +2,5
GFR <60 ≥65 ans +0,5 +1,2 -2,3 -0,1
<65 ans +1,4 +2,3 +5,9 +8,7
4.5. Lean and obese patients [5]: patients, men and women, thin, with a normal BMI or
overweight, the CG formula is better than the MDRD formula. The opposite result was observed
in obese patients.
Table 4. Difference between CG and MDRD in Lean and obese patients
GFR gap "true"
(ml/min/1,73m2
)
MDRD CG
H F H F
BMI < 18,5 +12,1 +12,3 +5,1 +7,4
18,5 < BMI < 25 +2,1 -4,1 +1,0 -2,0
25 < BMI < 30 -2,7 -1,8 +0,4 +5,0
BMI > 30 -2,8 -2,4 +5,4 +12,5
CONCLUSION
The present study confirms the existence of significant differences between CG and MDRD
equations, as a result of our study the MDRD equation is closer to the true GFR than that
calculated by Cockcroft & Gault formula and, hence, more suitable as a surrogate of renal
function. In conclusion, our study demonstrates that the differences between the MDRD and CG
formula were not only influenced by age, body mass index and serum creatinine but also affected
by gender and diabetes. In clinical practice physicians should be aware of these differences and
take them into consideration when they estimate renal functions.The MDRD formula
systematically underestimates GFR in healthy, overweight subjects, particularly in individuals
with increased BMI.
Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013
6
REFERENCES
[1] National Kidney Foundation.K/DOQI clinical practice guidelines for chronickidney
disease:evaluation, classification, and stratification. Am J Kidney Dis.2002;39:S1-266.
[2] National Agency for Accreditation and Evaluation in Health. Diagnosis of chronic renal failure in
adults. September 2002.
[3] Levey AS, Bosch JP, Lewis JB, Greene T, Rogers N, Roth D. A more accurate method to estimate
glomerular filtration rate from serum creatinine: anew prediction equation. Modification of Diet in
Renal Disease Study Group.Ann Intern Med. 1999;130:461-70.
[4] COCKCROFT DW, GAULT MH. Prediction of creatinine clearance from serum creatinine. Nephron,
1976 ; 16 : 31-41.
[5] FROISSART M, ROSSERT J, JACQUOT C et al. Predictive performance of the modification of diet
in renal disease and Cockcroft-Gault equations for estimating renal function. J Am Soc Nephrol, 2005
; 16 : 763-73.
[6] Hermsen ED, Maiefski M, Florescu MC, Qiu F, Rupp ME. Comparison of the modification of diet in
renal disease and Cockcroft-Gault equations for dosing antimicrobials. Pharmacotherapy
2009;29:649–55.
[7] Melloni C, Peterson ED, Chen AY, et al. Cockcroft-Gault versus modification of diet in renal disease:
importance of glomerular filtration rate formula for classification of chronic kidney disease in patients
with non–ST-segment elevation acute coronary syndromes. J Am Coll Cardiol 2008;51:991–6.
[8] Moranville MP, Jennings HR. Implications of using modification of diet in renal disease versus
Cockcroft-Gault equations for renal dosing adjustments. Am J Health Syst Pharm 2009;66:154–61.
[9] Pai MP. Estimating the glomerular filtration rate in obese adult patients for drug dosing. Adv Chronic
Kidney Dis 2010;17: e53–62.
[10] Demirovic JA, Pai AB, Pai MP. Estimation of creatinine clearance in morbidly obese patients. Am J
ealth Syst Pharm 2009;66:642–8.
[11] Johnson, David W., Jones, Graham R. D., et Al. Chronic kidney disease and automatic reporting of
estimated glomerular filtration rate: new developments and revised recommendations. Medical
Journal of Australia, 2012; 197 4: 222-223.
[12] LEVEY AS, CORESH J, GREENE T. Using standardized serum creatinine values in the modification
of diet in renal disease study equation for estimating glomerular filtration rate. Ann Intern Med, 2006
; 145 : 247-54.
[13] LEVEYAS, ECKARDTKU, TSUKAMOTO Yet al. Definition and classification of kidney disease : a
position statement from kidney disease : improving global outcomes (KDIGO). Kidney Int, 2005 ; 67
: 2 089-100.
[14] STEVENSLA, CORESH J, GREENE Tet al.Assessing kidney function – Measured and estimated
glomerular filtration rate. N Engl J Med, 2006; 354: 2473-83.
[15] LEVEY AS, CORESH J, GREENE T. Using standardized serum creatinine values in the modification
of diet in renal disease study equation for estimating glomerular filtration rate. Ann Intern Med, 2006
; 145 : 247-54.
[16] Poggio ED, Wang X, Greene T, Van LF, Hall PM.: Performance of the Modification of Diet in Renal
Disease and Cockcroft-Gault equations in the estimation of GFR in health and in chronic kidney
disease. J Am Soc Nephrol 2005; 16: 459–466.
Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013
7
AUTHORS
Boumediene SELMA: Has received his engineer degree in computer science from the
university of science of Mostaganem Abdelhamid Ibn Badis (Algeria) and actually is in
University of Science and technology USTO of Oran (Algeria); preparing his Magister
in systems dynamic attitude estimation and control using evolutionary techniques. His
current research interests are in the area of artificial intelligence and mobile robotics,
Pattern Recognition, neural networks, neuro-fuzzy, data-mining.
Samira CHOURAUI: Has received her MSc degree in Satellite and Systems
Communication from Surrey University UK and received the PhD in Applied
Mathematics from University of Science and technology of Oran (Algeria). She is
currently teaching Numerical Analysis and Systems Dynamics at the University of Oran
Mohamed Boudiaf USTO of Oran (Algeria).
Ahmed GHALI: Has received his engineer degree in computer science from the
university of science of Mostaganem Abdelhamid Ibn Badis (Algeria) and actually is in
University of Science and technology USTO of Oran (Algeria); preparing his Magister in
advanced optimization and artificial intelligence. His current research interests are in the
area of artificial intelligence, Pattern Recognition, neural networks and data-mining.

More Related Content

PDF
MEDICARE HEALTHCARE CHARGE DISPARITY ANALYSIS
PDF
TOP Read Articles in July 2025 - HIIJ.pdf
PDF
A KNOWLEDGE DISCOVERY APPROACH FOR BREAST CANCER MANAGEMENT IN THE KINGDOM OF...
PDF
Health Informatics - An International Journal (HIIJ)
PDF
CLASSIFICATION OF CARDIAC VASCULAR DISEASE FROM ECG SIGNALS FOR ENHANCING MOD...
PDF
Health Informatics - An International Journal (HIIJ)
PDF
PREDICTIVE COMPARATIVE QSAR ANALYSIS OF AS 5-NITROFURAN-2-YL DERIVATIVES MYCO...
PDF
Health Informatics - An International Journal (HIIJ)
MEDICARE HEALTHCARE CHARGE DISPARITY ANALYSIS
TOP Read Articles in July 2025 - HIIJ.pdf
A KNOWLEDGE DISCOVERY APPROACH FOR BREAST CANCER MANAGEMENT IN THE KINGDOM OF...
Health Informatics - An International Journal (HIIJ)
CLASSIFICATION OF CARDIAC VASCULAR DISEASE FROM ECG SIGNALS FOR ENHANCING MOD...
Health Informatics - An International Journal (HIIJ)
PREDICTIVE COMPARATIVE QSAR ANALYSIS OF AS 5-NITROFURAN-2-YL DERIVATIVES MYCO...
Health Informatics - An International Journal (HIIJ)

More from hiij (20)

PDF
OVERVIEW OF CRITICAL FACTORS AFFECTING MEDICAL USER INTERFACES IN INTENSIVE C...
PDF
11th International Conference on Bioinformatics & Biosciences (BIOS 2025)
PDF
RANKING THE MICRO LEVEL CRITICAL FACTORS OF ELECTRONIC MEDICAL RECORDS ADOPTI...
PDF
11th International Conference on Bioinformatics & Biosciences (BIOS 2025)
PDF
Health Informatics - An International Journal (HIIJ)
PDF
PARKINSON'S DISEASE MOTOR SYMPTOMS IN MACHINE LEARNING: A REVIEW
PDF
11th International Conference on Bioinformatics & Biosciences (BIOS 2025)
PDF
MEDICAL IMAGES AUTHENTICATION THROUGH WATERMARKING PRESERVING ROI
PDF
Health Informatics - An International Journal (HIIJ)
PDF
COMPREHENSIVE UP-TO-DATE IMPACT OF THE IOMT IN HEALTHCARE AND PATIENTS
PDF
SECURING TELEHEALTH WITH STATE-OF-THE- ART MACHINE LEARNING: A DEVSECOPS FRAM...
PDF
Health Informatics - An International Journal (HIIJ)
PDF
SMS-Based System for Type-II Diabetes (NIDDM) Management
PDF
Health Informatics - An International Journal (HIIJ)
PDF
POSSIBLE ELECTROMAGNETIC HYPERSENSITIVITY AMONG CELLULAR PHONE USERS IN RELEV...
PDF
11th International Conference on Bioinformatics & Biosciences (BIOS 2025)
PDF
NONLINEAR OBSERVER DESIGN FOR L-V SYSTEM
PDF
Health Informatics: An International Journal (HIIJ)
PDF
Health Informatics - An International Journal (HIIJ)
PDF
Health Informatics - An International Journal (HIIJ)
OVERVIEW OF CRITICAL FACTORS AFFECTING MEDICAL USER INTERFACES IN INTENSIVE C...
11th International Conference on Bioinformatics & Biosciences (BIOS 2025)
RANKING THE MICRO LEVEL CRITICAL FACTORS OF ELECTRONIC MEDICAL RECORDS ADOPTI...
11th International Conference on Bioinformatics & Biosciences (BIOS 2025)
Health Informatics - An International Journal (HIIJ)
PARKINSON'S DISEASE MOTOR SYMPTOMS IN MACHINE LEARNING: A REVIEW
11th International Conference on Bioinformatics & Biosciences (BIOS 2025)
MEDICAL IMAGES AUTHENTICATION THROUGH WATERMARKING PRESERVING ROI
Health Informatics - An International Journal (HIIJ)
COMPREHENSIVE UP-TO-DATE IMPACT OF THE IOMT IN HEALTHCARE AND PATIENTS
SECURING TELEHEALTH WITH STATE-OF-THE- ART MACHINE LEARNING: A DEVSECOPS FRAM...
Health Informatics - An International Journal (HIIJ)
SMS-Based System for Type-II Diabetes (NIDDM) Management
Health Informatics - An International Journal (HIIJ)
POSSIBLE ELECTROMAGNETIC HYPERSENSITIVITY AMONG CELLULAR PHONE USERS IN RELEV...
11th International Conference on Bioinformatics & Biosciences (BIOS 2025)
NONLINEAR OBSERVER DESIGN FOR L-V SYSTEM
Health Informatics: An International Journal (HIIJ)
Health Informatics - An International Journal (HIIJ)
Health Informatics - An International Journal (HIIJ)
Ad

Recently uploaded (20)

PPT
Nuclear Chemistry.dcbskdbcsljbcksjbcsljdbcsljbs
PPTX
Food-Sanitation-and-Microbiology_20250801_223934_0000.pptx
PPTX
students copy Fundamendals of Cookery final.pptx
PPTX
BARTENDING-03-Cocktail-Recipesqq(1).pptx
PPTX
1. CLEAN AND MAINTAIN KITCHEN PREMISES.pptx
PPTX
how How_to_Wash_Dishes_with_Finesse.pptx
PDF
Ecosure Passing Score with eAuditor Audits & Inspections
PPTX
COMPONENTS OF FOOD jgjtgjjgjgjgjgjgjgjg
DOCX
Breast Pump Accessories Guide_ What You Need.docx
PPTX
FST-401 lecture # 12 food chemistry.pptx
PPT
why_study_financial_markets_ggghgftytfytftfyt.ppt
PDF
Understanding the Appeal and Cultural Influence of Burgers Around the World
PDF
Administrative-Order-No.-2006-0012 Milk Code.pdf
PDF
Practical 4. Wet Ash Content.pdf food analysis
PDF
HealthyIndianBites:Eat Right, Live Right.pdf
PPT
french classical menu for hotel management students .ppt
PPTX
SEAFOOD IRRADIATION – TECHNOLOGY AND APPLICATION.pptx
PPTX
Lecture 2 Effect of water on shelf life of food.pptx
PDF
Hosting with Sandwich Bottom Dutch Oven.pdf
PPTX
Vitamin A .pptxjdjdksmxnenxmdmdmdmxmemmxms
Nuclear Chemistry.dcbskdbcsljbcksjbcsljdbcsljbs
Food-Sanitation-and-Microbiology_20250801_223934_0000.pptx
students copy Fundamendals of Cookery final.pptx
BARTENDING-03-Cocktail-Recipesqq(1).pptx
1. CLEAN AND MAINTAIN KITCHEN PREMISES.pptx
how How_to_Wash_Dishes_with_Finesse.pptx
Ecosure Passing Score with eAuditor Audits & Inspections
COMPONENTS OF FOOD jgjtgjjgjgjgjgjgjgjg
Breast Pump Accessories Guide_ What You Need.docx
FST-401 lecture # 12 food chemistry.pptx
why_study_financial_markets_ggghgftytfytftfyt.ppt
Understanding the Appeal and Cultural Influence of Burgers Around the World
Administrative-Order-No.-2006-0012 Milk Code.pdf
Practical 4. Wet Ash Content.pdf food analysis
HealthyIndianBites:Eat Right, Live Right.pdf
french classical menu for hotel management students .ppt
SEAFOOD IRRADIATION – TECHNOLOGY AND APPLICATION.pptx
Lecture 2 Effect of water on shelf life of food.pptx
Hosting with Sandwich Bottom Dutch Oven.pdf
Vitamin A .pptxjdjdksmxnenxmdmdmdmxmemmxms
Ad

MODELING ALGORITHM OF ESTIMATION OF RENAL FUNCTION BY THE COCKCROFT AND MDRD FORMULAS

  • 1. Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013 DOI: 10.5121/hiij.2013.2201 1 MODELING ALGORITHM OF ESTIMATION OF RENAL FUNCTION BY THE COCKCROFT AND MDRD FORMULAS Boumediene Selma1 , Samira Chouraqui2 , Ahmed GHALI3 1 Department of Computer Science, Faculty of Science. University of Science and Technology "Mohamed Boudiaf" USTO Oran. 31000, Algeria selma.boumediene@yahoo.fr 2 Department of Computer Science, Faculty of Science. University of Science and Technology "Mohamed Boudiaf" USTO Oran. 31000, Algeria s_chouraqui@yahoo.fr 2 Department of Computer Science, Faculty of Science. University of Science and Technology "Mohamed Boudiaf" USTO Oran. 31000, Algeria ahmed.gh@hotmail.fr ABSTRACT The purpose of this study was to determine the concordance between two equations used for estimating glomerular filtration rate, in order to verify the possibility to be used interchangeably in the clinical practice. The two equations are of Cockcroft & Gault (CG) (1976) formula and MDRD (modification of Diet in Renal Disease) (1999) formula, these two models allow the assessment of glomerular filtration rate (GFR) by calculating creatinine clearance (CLCR).To make a comparison between these two formulas different models were examined for Subjects with normal renal function, Patients with renal impairment, Diabetic patients, Age and sex, finally lean and obese patients by modeling two algorithms with the two functions. Results show that the formula of Cockcroft & Gault remains the method of choice for estimating renal function in clinical practice. KEYWORDS Cockcroft-Gault formula, MDRD formula, GFR, creatinine, renal function. 1. INTRODUCTION Glomerular filtration rate (GFR) is an important tool for kidney evaluation, in order to detect the early impairment of renal function, to allow correct dosage of drugs cleared by the kidneys or to evaluate patients before transplantation or before using potentially nephrotoxic radiographic contrast media .For clinical application, the assessment of renal function needs to be accurate, inexpensive and easy to apply. For this reason, in an attempt to find the best method to calculate GFR, a variety of formulas have been developed.
  • 2. Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013 2 The use of these formulas is recommended by ANAES and the National Kidney Foundation for the diagnosis of chronic renal disease [1] [2]. Overall, the MDRD formula [3] significantly underestimates GFR "real" about 1 ml/min/1, 73m2 , while the CG formula [4] significantly overestimates of about 2 ml/min/1,73m2 [5]. Much work has been done recently to make the comparison between these two formulas changing in these equations [6] [7] [8] and with different conditions of patients which is relative with GFR [9] [10] [11]. Currently, little information has been published on the performance of the CG and MDRD equations in the elderly (age > 65 years), lean and obese, individuals with liver disease. The paper is divided in four sections, the fist one is the introduction, secondly cover the recognition chronic kidney disease. Cockcroft & Gault model and MDRD algorithm are presented in section three. The last one gives Comparison of two algorithms using different cases of patients. 2. RECOGNITION CHRONIC KIDNEY DISEASE Recent recommendations proposed by the research group K / DOQI (Kidney Disease Outcome Quality Initiative) of the National Kidney Foundation and American international occasions by the group KDIGO (Kidney Disease Improving Global Outcomes), have established classification into 5 stages of chronic kidney disease by level of GFR [12], whatever its cause. This classification is associated with an action plan tailored to different clinical stages of kidney disease, the goal is to slow the progression of it and treat its complications [13]. It is therefore necessary to assess the GFR of a patient to use this classification.Creatinine depends also on its rate of production from the muscle creatine, flow is proportional to the mass of striated muscle of the subject: it must always be interpreted in terms of this parameter. Several formulas for estimating GFR have been developed using creatinine and correction factors expected to take into account the interindividual variation in creatinine production by muscle mass [14]. Table 1. Classification of determining the severity of CKD based on the GFR (ml/min/1, 73m2 ) stage description 1 Suffering kidney GFR ≥ 90 + mL/min/1,73 m2 2 Suffering kidney GFR 60-89 + mL/min/1,73 m2 3 GFR 30-59 mL/min/1,73 m2 4 GFR 15-29 mL/min/1,73 m2 5 GFR < 15 mL/min/1,73 m2 3. MODELING Formula for estimating GFR is only usable for a stable serum creatinine and is not applicable in case of acute variation thereof. The two most commonly used are those of Cockcroft and Gault and the data derived from the study MDRD (Modification of Diet in Renal Disease). These formulas dedicated to the adult population.
  • 3. Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013 3 3.1. Model algorithm of Cockcroft and Gault The CG was described in 1976 from 249 men hospitalized. It uses serum creatinine, as well as age, weight and sex of the subject as an indicator of muscle mass [4]. The first algorithm is then written: Input: Age, weight, creatinine SYSTEM with the factors related to sex A and F: constants such as; A = 1.23 in men and 1.04 in women. F = 1 in men and 0.85 in women. If serum creatinine then End if Output: the creatinine clearance (CLCR). This formula estimates GFR not, but the renal clearance of creatinine mL / min. This is higher than the GFR because creatinine is not only filtered by the glomeruli but also secreted by the renal tubules, and this proportion especially as renal function is impaired. Its advantage is its ease of calculation, but it has several limitations: it overestimates GFR in obese subjects, very thin or edematous, and underestimated in the elderly. Indeed, age and weight are not good indicators of muscle mass in these situations. Finally, it tends to underestimate the functional value of the patients with normal renal function. • It is currently recommended to estimate renal function in daily practice by a formula using creatinine. • This estimate only applies to a steady state of creatinine. • The MDRD formula showed an overall performance. 3.2. Model algorithm MDRD MDRD formula has been described as in 1999 from 1628 patients with chronic kidney disease. In its latest version, published in 2006 [15], it uses serum creatinine, as well as age, sex and ethnicity for African-Americans as indicators of muscle mass. In an effort to standardize assays, whose variability has recently been recognized as significant cause errors of estimate GFR, serum creatinine measured by the laboratory must be standardized in relation to mass spectrometry to be used in the formula. This normalization is gradual implementation in laboratories, as was done a few years ago.
  • 4. Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013 4 The second algorithm is then written: Input: Age, weight, creatinine SYSTEM with a factor related to sex A and ethnicity factor S: constants such as; A = 1 in men and 0.742 in women. S = 1.210 if African American subject. This formula estimates GFR in mL/min/1,73 m2 . Its performance is good in the elderly and obese. Its boundaries are an overestimation of GFR in patients very thin, and a tendency to underestimate in healthy subjects. There is however no systematic bias related to patient age [5]. 4. COMPARISON OF TWO ALGORITHMS 4.1. Subjects with normal renal function: there is no significant difference between CG and MDRD formulas [5], [16] despite the difference may seem large in absolute terms. Table 2. Difference between CG and MDRD in subjects with normal renal function. GFR gap "true" (ml/min/1, 73m2 ) MDRD CG [5] [16] [5] [16] -6,2 -9 -0,3 +1,9 4.2. Patients with renal impairment: The MDRD allow a better estimate of GFR than the CG formula. Table 3. Difference between CG and MDRD in Patients with renal impairment GFR gap "true" (ml/min/1,73m2 ) MDRD CG [5] [16] [5] [16] >60 -0,8 -3,5 +0,9 +7,9 30-60 +0,6 -1,6 +2,6 +4,5 15-30 +2,3 -0,2 +4,9 +2,9 <15 +2,4 +5,2
  • 5. Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013 5 Moreover, the classification of patients according to the severity of their renal failure was more accurate with the MDRD formula: respectively 29.2 and 32.4% of patients were misclassified when renal function was estimated with the MDRD formula or CG [5]. 4.3. Diabetic patients: patients with and without diabetes, the MDRD GFR is closer to "true" that the CG formula [16]. Table 3. Difference between CG and MDRD in patients with and without diabetes. GFR gap "true" (ml/min/1,73m2 ) MDRD CG Diabetics -0,2 +4,2 Nondiabetic -0,9 +3,1 4.4. Age and sex [5]: in humans, the MDRD formula is better than the CG. In women, the CG formula may be better in some cases. Table 4. Difference between CG and MDRD in Age and sex. GFR gap "true" (ml/min/1,73m2 ) MDRD CG H F H F GFR ≥60 ≥65 ans -5,9 -1,6 - 14,5 - 10,7 <65 ans -0,6 -6,1 +3,2 +2,5 GFR <60 ≥65 ans +0,5 +1,2 -2,3 -0,1 <65 ans +1,4 +2,3 +5,9 +8,7 4.5. Lean and obese patients [5]: patients, men and women, thin, with a normal BMI or overweight, the CG formula is better than the MDRD formula. The opposite result was observed in obese patients. Table 4. Difference between CG and MDRD in Lean and obese patients GFR gap "true" (ml/min/1,73m2 ) MDRD CG H F H F BMI < 18,5 +12,1 +12,3 +5,1 +7,4 18,5 < BMI < 25 +2,1 -4,1 +1,0 -2,0 25 < BMI < 30 -2,7 -1,8 +0,4 +5,0 BMI > 30 -2,8 -2,4 +5,4 +12,5 CONCLUSION The present study confirms the existence of significant differences between CG and MDRD equations, as a result of our study the MDRD equation is closer to the true GFR than that calculated by Cockcroft & Gault formula and, hence, more suitable as a surrogate of renal function. In conclusion, our study demonstrates that the differences between the MDRD and CG formula were not only influenced by age, body mass index and serum creatinine but also affected by gender and diabetes. In clinical practice physicians should be aware of these differences and take them into consideration when they estimate renal functions.The MDRD formula systematically underestimates GFR in healthy, overweight subjects, particularly in individuals with increased BMI.
  • 6. Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013 6 REFERENCES [1] National Kidney Foundation.K/DOQI clinical practice guidelines for chronickidney disease:evaluation, classification, and stratification. Am J Kidney Dis.2002;39:S1-266. [2] National Agency for Accreditation and Evaluation in Health. Diagnosis of chronic renal failure in adults. September 2002. [3] Levey AS, Bosch JP, Lewis JB, Greene T, Rogers N, Roth D. A more accurate method to estimate glomerular filtration rate from serum creatinine: anew prediction equation. Modification of Diet in Renal Disease Study Group.Ann Intern Med. 1999;130:461-70. [4] COCKCROFT DW, GAULT MH. Prediction of creatinine clearance from serum creatinine. Nephron, 1976 ; 16 : 31-41. [5] FROISSART M, ROSSERT J, JACQUOT C et al. Predictive performance of the modification of diet in renal disease and Cockcroft-Gault equations for estimating renal function. J Am Soc Nephrol, 2005 ; 16 : 763-73. [6] Hermsen ED, Maiefski M, Florescu MC, Qiu F, Rupp ME. Comparison of the modification of diet in renal disease and Cockcroft-Gault equations for dosing antimicrobials. Pharmacotherapy 2009;29:649–55. [7] Melloni C, Peterson ED, Chen AY, et al. Cockcroft-Gault versus modification of diet in renal disease: importance of glomerular filtration rate formula for classification of chronic kidney disease in patients with non–ST-segment elevation acute coronary syndromes. J Am Coll Cardiol 2008;51:991–6. [8] Moranville MP, Jennings HR. Implications of using modification of diet in renal disease versus Cockcroft-Gault equations for renal dosing adjustments. Am J Health Syst Pharm 2009;66:154–61. [9] Pai MP. Estimating the glomerular filtration rate in obese adult patients for drug dosing. Adv Chronic Kidney Dis 2010;17: e53–62. [10] Demirovic JA, Pai AB, Pai MP. Estimation of creatinine clearance in morbidly obese patients. Am J ealth Syst Pharm 2009;66:642–8. [11] Johnson, David W., Jones, Graham R. D., et Al. Chronic kidney disease and automatic reporting of estimated glomerular filtration rate: new developments and revised recommendations. Medical Journal of Australia, 2012; 197 4: 222-223. [12] LEVEY AS, CORESH J, GREENE T. Using standardized serum creatinine values in the modification of diet in renal disease study equation for estimating glomerular filtration rate. Ann Intern Med, 2006 ; 145 : 247-54. [13] LEVEYAS, ECKARDTKU, TSUKAMOTO Yet al. Definition and classification of kidney disease : a position statement from kidney disease : improving global outcomes (KDIGO). Kidney Int, 2005 ; 67 : 2 089-100. [14] STEVENSLA, CORESH J, GREENE Tet al.Assessing kidney function – Measured and estimated glomerular filtration rate. N Engl J Med, 2006; 354: 2473-83. [15] LEVEY AS, CORESH J, GREENE T. Using standardized serum creatinine values in the modification of diet in renal disease study equation for estimating glomerular filtration rate. Ann Intern Med, 2006 ; 145 : 247-54. [16] Poggio ED, Wang X, Greene T, Van LF, Hall PM.: Performance of the Modification of Diet in Renal Disease and Cockcroft-Gault equations in the estimation of GFR in health and in chronic kidney disease. J Am Soc Nephrol 2005; 16: 459–466.
  • 7. Health Informatics - An International Journal (HIIJ) Vol.2, No.2, May 2013 7 AUTHORS Boumediene SELMA: Has received his engineer degree in computer science from the university of science of Mostaganem Abdelhamid Ibn Badis (Algeria) and actually is in University of Science and technology USTO of Oran (Algeria); preparing his Magister in systems dynamic attitude estimation and control using evolutionary techniques. His current research interests are in the area of artificial intelligence and mobile robotics, Pattern Recognition, neural networks, neuro-fuzzy, data-mining. Samira CHOURAUI: Has received her MSc degree in Satellite and Systems Communication from Surrey University UK and received the PhD in Applied Mathematics from University of Science and technology of Oran (Algeria). She is currently teaching Numerical Analysis and Systems Dynamics at the University of Oran Mohamed Boudiaf USTO of Oran (Algeria). Ahmed GHALI: Has received his engineer degree in computer science from the university of science of Mostaganem Abdelhamid Ibn Badis (Algeria) and actually is in University of Science and technology USTO of Oran (Algeria); preparing his Magister in advanced optimization and artificial intelligence. His current research interests are in the area of artificial intelligence, Pattern Recognition, neural networks and data-mining.