xii PROBLEMS OF RELATIVE GROWTH 



PAGE 



CHAPTER IV 



GROWTH-GRADIENTS AND THE GENERAL 



DISTRIBUTION OF GROWTH-POTENTIAL IN 



THE ANIMAL BODY 



§ i. General Growth-gradients : D'Arcy Thompson's 



Graphic Method . . . . . . .104 



§2. General Growth-gradients: Quantitative Analysis iio 



§ 3. The Two Phases of Growth . . . . .118 



§ 4. Growth-changes Correlated with High Local Growth- 

 intensity ........ 120 



§ 5. Some Cases of Teratological and Abnormal Growth 128 



§ 6. The Law of Antero-posterior Development and its 



Effect upon Growth ...... 132 



§ 7. The Mathematical Formulation of Relative Growth 



in Embryonic Life ....... 139 



§ 8. Conclusion ......... 147 



CHAPTER V 



GROWTH-CENTRES AND GROWTH-GRADIENTS 

 IN ACCRETIONARY GROWTH 



§ 1. The Accretionary Method of Growth . . . 149 



§ 2. Logarithmic Spirals as the Result of Growth- 

 gradients . . . . . . . .151 



§ 3. Growth-gradients and the Shells of Molluscs . 154 



§ 4. Conclusion ......... 163 



CHAPTER VI 



HETEROGONY, GROWTH-GRADIENTS AND 

 PHYSIOLOGY 



§ 1. Normal Proportions as Result of a Partition-equili- 

 brium ......... 165 



§ 2. The Initial Determination and Physiological Basis 



of Growth-gradients . . . . . .167 



§ 3. Other Gradient Theories . . . . .170 



§ 4. Heterogony and Hormones . . . . .176 



§ 5. Heterochely and Relative Growth-rates. . . 1S9 



§ 6. Specific Growth-intensities and their Interaction . 191 



