1910.] The Chemical Dynanucs of Serum Reactions. 495 
disclosed to view. The tubes were incubated at 37° C. for one hour, and 
were placed on ice overnight. 
The observed results are given in Table I for the lowest complete lysis, in 
Table II for the lowest partial lysis. The first two columns give observed 
values, and the third column contains the corresponding values calculated 
by means of the fundamental equation, which will be referred to later. 
Table I.—For Complete Lysis. 
y and « varying; z constant; dz/dt = 0 (ae. when the reaction has ceased). 
e= 11:37, z=1:256 (the method by which these constants were 
obtained will be explained at the end of this section after the mathematical 
discussion ). 
Yy. | x observed. | « calculated. | 
| | 
| | 
per cent. | per cent. per cent. per cent. | 
5 ‘0 39 54 
10°0 20 °23 
14 °281* >14°0 17 °936 
20 ‘0 20 ‘0 19 *54 
30 ‘0 <30°0 28 °27 
40 °O <40 °O 38 °72 
50 °O <50°0 49 ‘98 
52°5 <52°5 52 88 
55 ‘0 | about 55 °O 55 °85 
62 °5 >62°5 64 °66 
* “ Point of diversion.”’ 
Table [1—For Lowest Partial Lysis. 
Conditions asin Table I. -¢ = 11°37, 2 = 0°54. 
y. x observed. x calculated. 
per cent per cent. per cent. | per cent. 
1-0 17 °59 
2°5 6 ‘06 
50 >2°5 <5 °0 3°45 
6 *1898* 3°31 
10 °0 >5°0 4°22 
| 15 °0 >3°75 <iicd 6°14 
| 20 ‘0 <GlOEO 8 °50 
30 °O 16 955 <15°0 13 °56 
40 °O <20°0 18°79 
50 ‘0 < 25 °0 24 09 
82 °5 about 41 °25 | 41 °48 
85 °0 about 42 °25 | 42°72 
o%5 >48 75 | 49 *54: 
100 ‘0 50 °89 
| 
| 
* “ Point of diversion.” 
