402 
PHYSIOLOGY: H. S. REED 
Proc. N. a. S. 
rate of the apricot shoots it is not entirely satisfactory to dissect thus a 
process which is undoubtedly homogeneous in its nature. Our efforts 
must continually bend toward the problem of explaining the organism 
and its activities as a whole. We shall, therefore, attempt to study the 
dynamics of the entire season's growth and to learn something about the 
nature of the process. 
Wilhelmy's equation, which has been found to apply to many processes 
in physical chemistry, was used; 
(3) 
TABLE 2 
Calculated and Observed Length of Apricot Branches 
CALCUI^ATED FROM 
TIME 
WEEKS 
OBSERVED 
CM. 
x=210 (1 -c-0.095/) 
CM. 
1 
2 
3 
4 
5 
6 
7 
8 
9^ 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
20 
21 
22 
23 
24 
25 
26 
27 
28 
15 
41 
54 
68 
78 
85 
93 
97 
99 
106 
118 
127 
135 
140 
148 
154 
158 
161 
166 
173 
179 
184 
188 
190 
191 
193 
195 
197 
8 
5 
5 
6 
0 
6 
9 
2 
6 
7 
5 
4 
3 
8 
4 
8 
4 
3 
8 
4 
4 
2 
0 
1 
9 
8 
6 
0 
19.1 
36.3 
52.1 
66.4 
79.4 
91.4 
102.0 
111.8 
120.8 
128.8 
136.0 
142.8 
148.8 
154.7 
159.5 
164.0 
168.1 
172.0 
175.6 
178.8 
181.2 
184.0 
186.5 
188.6 
190.4 
192.2 
193.8 
195.2 
- 3.3 
- 5.2 
+ 2.4 
+ 2.2 
- 1.4 
- 5.8 
- 8.1 
-14.6 
-21.2 
-22.1 
-17.5 
-15.4 
-13.5 
-13.9 
-11.1 
- 9.2 
- 9.7 
-10.7 
- 8.8 
- 5.4 
- 1.8 
0.2 
1.5 
1.5 
1.5 
1.6 
1.8 
1.8 
where x represents the length of the shoot at time t, a represents the final 
length, and ^ is a constant of the reaction. 
By integrating the above equation, we get 
