E. Benjacob, FROM SNOWFLAKE FORMATION TO GROWTH OF BACTERIAL COLONIES .1. DIFFUSIVE PATTERNING IN AZOIC SYSTEMS, Contemporary Physics, 34(5), 1993, pp. 247-273
Many phenomena display the emergence of patterns during diffusive grow
th, ranging from the growth of snowflakes to the aggregation of a soot
particle, from oil recovery by fluid injection to solidification of m
etals and from the formation of a coral reef to cell differentiation d
uring embryonic development. Is the diversity of patterns found in Nat
ure a result of different causes and effects, or is there a unifying p
icture in which they all share the same underlying principles? Only du
ring the past decade has a satisfying answer started to evolve. These
exciting new developments in the understanding of form determination i
n Nature offer the promise that a unified theoretical framework is at
hand, one that would also include processes in living systems. This re
view is an effort to make these developments accessible to researchers
in various related fields, so that together we may begin to link the
dispersed fragments of knowledge into a coherent picture of growth pro
cesses.