Rutherford W E, Blondin J, Miller J P, Greenwalt A S, Vavra J D
Kidney Int. 1977 Jan;11(1):62-70. doi: 10.1038/ki.1977.8.
The rate of change of the serum creatinine concentrations in 63 patients with chronic progressive renal disease of varied etiology was examined by linear regression analysis using the logarithm or the reciprocal of the serum creatinine concentration versus time. A single straight line was described by one or the other of these relationships in 53 patients. Six patients had an accelerated rate of nephron destruction terminally (two slopes) regardless of the mathematical analysis. The remaining four patients had course changes either due to apparent spontaneous remissions or temporally related to therapy. These data suggest that (functional) nephron loss in chronic progress disease is orderly and mathematically definable. The theoretical implications are that functional nephron loss is either exponential (log Cr) or constant (1/Cr).
采用血清肌酐浓度的对数或倒数与时间进行线性回归分析,检测了63例不同病因的慢性进行性肾病患者血清肌酐浓度的变化率。53例患者通过上述其中一种关系呈现出单一的直线。6例患者最终出现肾单位破坏加速(两个斜率),无论采用何种数学分析方法。其余4例患者病情变化要么是由于明显的自发缓解,要么与治疗在时间上相关。这些数据表明,慢性进行性疾病中(功能性)肾单位丢失是有序的且在数学上是可定义的。理论意义在于,功能性肾单位丢失要么是指数性的(肌酐对数),要么是恒定的(肌酐倒数)。