H. Gruler et al., MIGRATING CELLS - LIVING LIQUID-CRYSTALS, Molecular crystals and liquid crystals science and technology. Section A, Molecular crystals and liquid crystals, 260, 1995, pp. 565-574
Two conditions are necessary to built up a condensated state out of el
ementary units: (i) interaction between the elementary units and (ii)
motion of the elementary units. A new type of liquid crystal is found
by using migrating cells (human granulocytes) as elementary units. The
se cells show no interaction or a weak repulsion at high calcium conce
ntration (2.5 nM). But at low calcium concentration (< nM) the cells a
ttract other and form a polar nematic liquid crystal. First, the machi
ne for the directed movement is investigated phenomenologically. The d
irection of migration is guided by a cellular automatic controller. It
can be characterized by two machine coefficients: (i) the response of
the automatic controller is proportional to the strength of the extra
cellular guiding field times a cellular machine coefficient, and (ii)
the random movement is induced by stochastic processes in the cellular
machinery. These cellular stochastic processes are equivalent to the
thermal motion of inert particles. The analogy to the Boltzmann statis
tics is evident. In the next step, the cell-cell communication is inve
stigated. During one machine cycle, the cell can release metabolic mol
ecules which attract other cells via chemotaxis. Galvanotaxis is anoth
er mechanism for the cell-cell interaction since every cell is surroun
ded by an electric field. The distance dependent cell-cell interaction
is determined from the pair correlation function.