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Creating Objects and Object Categories for Studying Perception and Perceptual Learning

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Amorphous computing: examples, mathematics and theory.

W Richard Stark¹

¹Department of Mathematics & Statistics, University of South Florida, Tampa, FL 33620-5700 USA.

Natural Computing

|August 16, 2013

Summary

This summary is machine-generated.

Amorphous computing offers a new model for multicellular information processing, addressing limitations of earlier cellular automata. This work lays the foundation for a computational theory in this emerging field.

Keywords:

Amorphous computing Asynchronous Computation theory Distributed processes Probability measure

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Area of Science:

Computational Biology
Theoretical Computer Science
Developmental Biology

Background:

John von Neumann's cellular automata model (1950s) aimed to represent information processing in multicellular tissue.
This early model, with crystalline arrays and synchronous activity, proved insufficient for biological complexity.
Recent advancements in amorphous computing present a more viable model for morphogenesis.

Purpose of the Study:

To introduce amorphous computing as a valid model for multicellular information processing.
To initiate the development of a computational theory for amorphous computing.
To explore the application of elementary mathematics and simple examples within this new framework.

Main Methods:

Reviewing the limitations of traditional cellular automata in biological contexts.
Introducing the principles of amorphous computing for modeling biological systems.
Utilizing basic mathematical concepts and illustrative examples to demonstrate computational aspects.

Main Results:

Established amorphous computing as a promising alternative to cellular automata for biological modeling.
Demonstrated the potential of amorphous computing to model morphogenesis.
Provided foundational elements for a new computational theory.

Conclusions:

Amorphous computing represents a significant advancement in modeling multicellular information processing.
This approach offers a more biologically relevant framework for understanding morphogenesis.
Further development of computational theory is warranted for amorphous computing applications.