Abstract
Statistical bivariate numerical modeling is a method to infer an empirical relationship between unpaired sets of data based on statistical distributions matching. In the present paper, a novel efficient numerical algorithm is proposed to perform bivariate numerical modeling. The algorithm is then applied to correlate glomerular filtration rate to serum creatinine concentration. Glomerular filtration rate is adopted in clinical nephrology as an indicator of kidney function and is relevant for assessing progression of renal disease. As direct measurement of glomerular filtration rate is highly impractical, there is considerable interest in developing numerical algorithms to estimate glomerular filtration rate from parameters which are easier to obtain, such as demographic and ‘bedside’ assays data.
Highlights
Several real-world complex phenomena in virtually any branch of science lack accurate mathematical descriptions
The exclusion criteria were being treated with dialysis at the time of the study or taking cimetidine, trimethoprim or intravenous injections of albumin or diuretics before glomerular filtration rate (GFR) measurement
The proposed algorithm was compared to the original statistical bivariate numerical modeling algorithm based on numerical-algebraic neural systems in the application to benchmark as well as to real-world datasets
Summary
Several real-world complex phenomena in virtually any branch of science lack accurate mathematical descriptions. In these cases, predicting the value of a variable by any analytically derived expression is not viable, empirical or statistical methods are generally exploited to develop a model of the observed phenomenon. Examples are found in seismic facies visualization and interpretation [1], cell-free protein synthesis [2], in marine stratigraphy [3], and in electrical load forecasting [4]. The complex phenomenon that triggered the present research is the estimation of glomerular filtration rate (GFR) in the context of eHealth. Estimated glomerular filtration rate is a common test to measure a patient’s level of kidney function and to determine a stage of kidney disease in case of renal malfunction
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