This paper presents the concept of dynamical hierarchies as a
constructional and organizational principle in biomolecular materials design.
Simple objects, characterized via a minimal set of explicit properties,
self-organize into aggregates (higher-order objects)
which show emergent properties (function) that are
not explicitly encoded on the level of the individual chemical elements
but are implicitly generated via the system dynamics.
Object aggregation may span various levels of complexity, which
are linked by both, up- and downward causalities, forming a
unique organizational element; a dynamical hierarchy.
This organization of individual objects is characterized by multiple
levels of constructional complexity accompanied by respective emergent
properties and overall, stabilized by implicit control.
This concept is well suited to design multicomponent chemical
aggregates or chemical reaction networks with complex functionality.
We present the lattice molecular automaton (LMA) to simulate
the generation of dynamical hierachies in chemical systems.
This simulation tool encodes chemical objects (substrates, enzymes, products)
as data structures storing their explicit properties
as well as object-object communication data. These two attributes are
accessed by an update functional driving the system dynamics.
We present LMA simulation results on dynamical hierarchies of structure and
control in chemical reaction networks and discuss their implications for
chemical information processing devices.