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Templeting and self-assembly.

M J Katz, Y S Chow

    Journal of Theoretical Biology
    |March 7, 1985
    PubMed
    Summary
    This summary is machine-generated.

    Pattern assembly involves templating and self-assembly. Some determinate patterns require same-sized templates, at least as large as the final pattern, for successful assembly.

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    Area of Science:

    • Pattern formation and assembly processes.
    • Biophysics and materials science.
    • Systems chemistry and theoretical biology.

    Background:

    • Templating and self-assembly are key determinate pattern-assembly processes.
    • Templated patterns require explicit prepatterns for topology specification.
    • Self-assembling patterns rely solely on precursor element constraints.

    Purpose of the Study:

    • To define and differentiate templating and self-assembly processes.
    • To introduce a quantitative measure for characterizing pattern-assembly systems.
    • To elucidate fundamental principles governing determinate pattern assembly.

    Main Methods:

    • Expressing templating and self-assembly concepts in matrix notation.
    • Developing a matrix measure, the "templeting index," to quantify system characteristics.

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  • Analyzing the relationship between template size and final pattern size.

    • Main Results:

    • Both templating and self-assembly can be represented using matrix notation.
    • The templeting index quantifies the balance between templating and self-assembly.
    • A fundamental principle: some determinate patterns necessitate same-sized templates.

    Conclusions:

    • Templating and self-assembly represent distinct yet related modes of pattern formation.
    • The templeting index provides a valuable tool for analyzing assembly systems.
    • Template size is a critical factor in the determinate assembly of certain patterns.