Intrinsic Geometry of Biological Surface Growth

Author:   Philip H. Todd
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Volume:   67
ISBN:  

9783540164821


Pages:   132
Publication Date:   01 May 1986
Format:   Paperback
Availability:   Out of stock   Availability explained
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Intrinsic Geometry of Biological Surface Growth


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Author:   Philip H. Todd
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Volume:   67
Dimensions:   Width: 17.00cm , Height: 0.70cm , Length: 24.40cm
Weight:   0.256kg
ISBN:  

9783540164821


ISBN 10:   3540164820
Pages:   132
Publication Date:   01 May 1986
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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.

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