Abstract
Today dissipative structures are at the center of interest of a noticeable part of the scientific community. This is particularly true in biology, where the discovery of reaction diffusion instabilities has opened a wholly new area of research on self organization. New types of dissipative structures, such as chemical clocks and reaction diffusion patterns, have become subjects of widespread interest. Their occurrence has been invoked in the explanation of a multitude of phenomena of self organization in biology. Examples include cellular differentiation, mitotic control, pattern formation, cellular communication, amoeba aggregation.1 Generally speaking one may say that reaction diffusion instabilities show how molecules or cells can “communicate” over macroscopic times and distances using the very type of chemical processes and transport phenomena ubiquitously present in living systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
For a general presentation of the field and references to original papers see: G. Nicolis and I. Prigogine, Selforganization in non-equilibrium systems, Wiley, New York (1977).
See the papers by Horsthemke, Lefever, Sancho and San Miguel in: Stochastic nonlinear systems, Springer Series in synergetics 8 (1981).
R. Garay and R. Lefever, J. Theor. Biol. 73, 417 (1978).
R. Lefever and R. Garay, in: Biomathematics and cell kinetics, Elsevier, Amsterdam (1978)
R. A. Fisher, Ann. of Eugenics 7, 355 (1937)
P. C. Fife, Mathematical aspects of reacting and diffusing systems, Springer-Verlag, Heidelberg (1979).
R. M. Thorn and C. S. Henney, J. Immunology 117, 2213 (1976).
C. S. Henney, C. R. C. Crit. Rev. Immunol.
R. Garay and R. Lefever, C. R. Acad. Sci. Paris 285D, 741 (1977).
S. J. Merril, Math. Biosc. 62, 219 (1982).
I. Prigogine and R. Lefever, Comp. Biochem. Physiol. 67B, 389 (1980).
J. Rinzel and J. B. Keller, Biophys. J. 13, 1313 (1973).
P. Ortoleva and J. Ross, J. Chem. Phys. 63, 3398 (1975).
T. Erneux and R. Lefever, in Preparation.
W. Horsthemke and R. Lefever, Noise induced transitions, to appear, Springer-Verlag (1983).
G. Blankenship and G. C. Papanicolaou, SIAM J. Appl. Math. 34, 437 (1978).
W. Horsthemke and R. Lefever, Z. Phys. 40, 241 (1980).
W. Horsthemke and R. Lefever, in preparation.
R. Lefever and W. Horsthemke, Bull. Math. Biol. 41, 469 (1979).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Plenum Press, New York
About this chapter
Cite this chapter
Lefever, R., Erneaux, T. (1984). On the Growth of Cellular Tissues Under Constant and Fluctuating Environmental Conditions. In: Adey, W.R., Lawrence, A.F. (eds) Nonlinear Electrodynamics in Biological Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2789-9_21
Download citation
DOI: https://doi.org/10.1007/978-1-4613-2789-9_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9720-8
Online ISBN: 978-1-4613-2789-9
eBook Packages: Springer Book Archive