1. The mathematical concepts of vector spaces, vector chains and chain-complexes, matrix calculations and boundary operations are made available for the analysis of developmental biology in order to explain how a function is assigned to a biological form in time and space.

2. Provide software to study the development of organisms in the early embryo (e.g. C. elegans pre-morpho-genetic phase).

Design a paradigm which predicts the development of an organism for a given (e.g. genetic, environmental) input. Biological development is formulated by mathematical means (as set of operations). In principal, this formulation expose the set of primitive operations and their relations, that characterize the observation (i.e. a developmental programming language).
 
 

A method and an integrity check for this method is developed using a model organism. We choose the well examined model organism C. elegans (a tiny worm) to conduct our study. A great amount of data and experimental results of high value are already available. These experimental results are the foundation to establish a systematic in order to formulate a design.

Relevance

The immediate health relevance of our work is in understanding mechanisms in normal development, which is crucial to understanding how development can go astray (i.e. defective or wrong) -- as in abnormal wound healing, and the metastasis of cancer cells.