Theory of Morphogenesis

A model of morphogenesis is proposed based on seven explicit postulates. The mathematical import and biological significance of the postulates are explored and discussed.

[1]  R. Penner,et al.  Geometry of Morphogenesis , 2014, 1410.0566.

[2]  Guillermo Sapiro,et al.  A Theoretical and Computational Framework for Isometry Invariant Recognition of Point Cloud Data , 2005, Found. Comput. Math..

[3]  M. Shubin,et al.  The Geometry of Morphogenesis and the Morphogenetic Field Concept , 2012, 1205.1158.

[4]  C. Malosse,et al.  Sex, age and ovarian activity affect cuticular hydrocarbons in Diacamma ceylonense, a queenless ant. , 2001, Journal of insect physiology.

[5]  C. Peeters,et al.  Rapid modification in the olfactory signal of ants following a change in reproductive status , 2005, Naturwissenschaften.

[6]  Facundo Mémoli,et al.  Eurographics Symposium on Point-based Graphics (2007) on the Use of Gromov-hausdorff Distances for Shape Comparison , 2022 .

[7]  L. Wolpert,et al.  THIRTY-FIVE Positional Information and Pattern Formation , 2016 .

[8]  Alexander M. Bronstein,et al.  Efficient Computation of Isometry-Invariant Distances Between Surfaces , 2006, SIAM J. Sci. Comput..

[9]  J. Reina,et al.  When fate follows age: unequal centrosomes in asymmetric cell division , 2014, Philosophical Transactions of the Royal Society B: Biological Sciences.

[10]  Philip K. Maini,et al.  Mathematical models in morphogenesis , 1999 .

[11]  E. Blackburn,et al.  Generation of telomere-length heterogeneity in Saccharomyces cerevisiae. , 1988, Proceedings of the National Academy of Sciences of the United States of America.

[12]  Michael Levin,et al.  Morphogenetic fields in embryogenesis, regeneration, and cancer: Non-local control of complex patterning , 2012, Biosyst..

[13]  M. Gromov Metric Structures for Riemannian and Non-Riemannian Spaces , 1999 .

[14]  L. Wolpert Developmental Biology , 1968, Nature.

[15]  J. Davies,et al.  Molecular Biology of the Cell , 1983, Bristol Medico-Chirurgical Journal.