Intrinsic Geometry of Biological Surface Growth
1.1 General Introduction The work which comprises this essay formed part of a multidiscip linary project investigating the folding of the developing cerebral cortex in the ferret. The project as a whole combined a study, at the histological level, of the cytoarchitectural development concom itant...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1986, 1986
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| Edition: | 1st ed. 1986 |
| Series: | Lecture Notes in Biomathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1: Introduction
- 1.1 General Introduction
- 1.2 Introduction from Mathematical Biology
- 1.3 Neuroanatomical Introduction
- 2: Some Geometrical Models in Biology
- 2.1 Introduction
- 2.2 Hemispherical Tip Growth
- 2.3 The Mouse Cerebral Vesicle
- 2.4 The Shape of Birds1 Eggs
- 2.5 The Folding Pattern of the Cerebral Cortex
- 2.6 Surface Curvatures of the Cerebral Cortex
- 2.7 Coda
- 3: Minimum Dirichlet Integral of Growth Rate as a Metric for Intrinsic Shape Difference
- 3.1 Introduction
- 3.2 Isotropic and Anistropic Biological Growth
- 3.3 Some Properties of the Minimum Dirichlet Integral
- 3.4 Minimum Dirichlet Integral as a Metric for Shape
- 3.5 Comparison with other Dirichlet Problems
- 4: Curvature of the Ferret Brain
- 4.1 Material & Methods
- 4.2 Results and Interpretation
- 4.3 Discussion
- 4.4 The nearest plane region to a given surface
- 4.5 Conclusions
- References
- Appendix A: Numerical Surface Curvature