Root > GreenLab Model > Development > Automaton > Organogenesis Automaton, Micro-States

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GreenLab Course

Development

Simulating plant organogenesis


The different levels of botanical plant structural elements (i.e. growth units, axis, architectural unit, and reiteration) can be generated using a dual scale automaton (Zhao, X. et al, 2001).

Micro-states

    The phytomer (metamer), the fundamental structural unit of the plant body, is attached to a micro-state. In order to reflect the botanical typology, several micro-states usually need to be defined for a given physiological age.
    A common usual framework leads to a micro-state Mii,a being defined from both the physiological age of the internode (i) and the physiological age of its axillary bud (a).


      Physiological ages, metamer and micro-state (Drawing X. Zhao, LIAMA, CASIA)
        The physiological age of the micro-state internode's is 1, while the physiological age of its axillary bud is 3.


    At a given physiological age, a simple automaton can generate a growth unit (or a full axis portion in case of continuous growth) thanks to micro-state successions.
    A growth unit is thus defined by a list of micro-states with their occurrences.

    A micro-state sequence building a growth unit is called a macro-state

    In the following example, this macro-state could be codified as:
    ((Mi1,3, 2) , (Mi1,2,1) ), describing a growth unit of three metamers of physiological age 1, respectively bearing axillary buds of physiological ages 3, 3, and 2.


      Micro-states, and a growth unit (Drawing X. Zhao, LIAMA, CASIA)
        The automaton generates the sequence ((Mi1,3, 2) , (Mi1,2,1) ) and builds a macro-state, representing a growth unit.

Bibliography

Zhao, X., De Reffye, P., Xiong, F. L., Hu, B. G., & Zhan, Z. G. 2001. Dual-scale automaton model for virtual plant development. The Chinese Journal of Computers, 24(60), pp. 608-617

Definition

Dual Scale Automaton (Botanical Automaton)
Computer Sciences. A Dual-Scale or Botanical Automaton is a specific Dual Scale finite-state machine. A particular finite-state machine is defined by a list of its states, and the triggering condition for each transition. In a Botanical Automaton, two lists are used corresponding respectively to the micro-state transitions (at the phytomer level) and to the macro-state transitions (at the growth unit level). This notion was introduced by Xing Zhao in 2001.