38 



Influence of Inanition on Metabolism. 



Disregarding the mineral matters, the following equations may be derived 

 from these data, letting p = protein, t = fat, r = carbohydrates, and w = 



water : 



0.16670 = N 



0.4440r + 0.7610* + 0.5280 = C 



0.1119m? + 0.0620r + 0.1180* + 0.0700p = H 



0.8881W + 0.4940r + 0.1210* + 0.2200p = 



Solving these equations in terms of 1ST, C, H, and O, the following formulae 

 are obtained: 



Protein = 6.0 N. 



Fat = 0.005 C + 9.693 H 1.221 O 2.476 N. 



Carbohydrates = + 2.243 C 16.613 H + 2.093 O 2.892 N. 

 Water = 1.248 C + 7.920 H + 0.128 O + 0.460 N. 



The quantities of each element lost from the body, expressed in grams in 

 table 8, may be substituted in these equations for the chemical elements 

 N", H, O, and C. For purposes of illustration the computation of the losses 

 of body compounds for the first day of experiment 59 are given in some detail 

 in table 9. 



Table 9. Illustrative table showing elements and material katabolized in body 



Metabolism experiment No. 59. 



1 Includes also water of perspiration. 



As a mathematical verification of these computations the results are expressed 

 in tabular form, and by use of the percentage composition shown above the 

 amounts of nitrogen, carbon, hydrogen, and oxygen in the quantities of each 

 compound lost may be recomputed. The sum of the different elements should 



