Cyclic AMP waves during aggregation of Dictyostelium amoebae.

During the aggregation phase of their life cycle, Dictyostelium discoideum amoebae communicate with each other by traveling waves of cyclic AMP. These waves are generated by an interplay between random diffusion of cyclic AMP in the extracellular milieu and the signal-reception/signal/relaying capabilities of individual amoebae. Kinetic properties of the enzymes, transport proteins and cell-surface receptor proteins involved in the cyclic AMP signaling system have been painstakingly worked out over the past fifteen years in many laboratories. Recently Martiel & Goldbeter (1987) incorporated this biochemical information into a unified mathematical model of communication among Dictyostelium amoebae. Numerical simulations of the mathematical model, carried out by Tyson et al. (1989), agree in quantitative detail with experimental observations of cyclic AMP traveling waves in Dictyostelium cultures. Such mathematical modeling and numerical experimentation provide a necessary link between detailed studies of the molecular control mechanism and experimental observations of the intact developmental system.

[1]  P E Rapp,et al.  Oscillations in calcium-cyclic AMP control loops form the basis of pacemaker activity and other high frequency biological rhythms. , 1977, Journal of theoretical biology.

[2]  J. Keener,et al.  Singular perturbation theory of traveling waves in excitable media (a review) , 1988 .

[3]  A Goldbeter,et al.  Control of developmental transitions in the cyclic AMP signalling system of Dictyostelium discoideum. , 1980, Differentiation; research in biological diversity.

[4]  J. Bonner,et al.  Hormones in social amoebae and mammals. , 1969, Scientific American.

[5]  S A MacKay,et al.  Quantitative analysis of cyclic AMP waves mediating aggregation in Dictyostelium discoideum. , 1983, Developmental biology.

[6]  L. Segel,et al.  Adaptation, oscillations and relay in a model for cAMP secretion in cellular slime molds. , 1988, Journal of theoretical biology.

[7]  M. Cohen,et al.  Wave propagation in the early stages of aggregation of cellular slime molds. , 1971, Journal of theoretical biology.

[8]  P. S. Hagan,et al.  Diffusion-induced morphogenesis in the development of Dictyostelium , 1981 .

[9]  A Goldbeter,et al.  A Model Based on Receptor Desensitization for Cyclic AMP Signaling in Dictyostelium Cells. , 1987, Biophysical journal.

[10]  L. Segel,et al.  Initiation of slime mold aggregation viewed as an instability. , 1970, Journal of theoretical biology.

[11]  N. Rashevsky,et al.  Mathematical biology , 1961, Connecticut medicine.

[12]  Peter Monk,et al.  A model for signal-relay adaptation in Dictyostelium discoideum. II. Analytical and numerical results , 1985 .

[13]  P. Devreotes,et al.  Kinetics and concentration dependence of reversible cAMP-induced modification of the surface cAMP receptor in Dictyostelium. , 1985, The Journal of biological chemistry.

[14]  R. H. Giles,et al.  The landscape epidemiology of rabies in Virginia. , 1978, The American journal of tropical medicine and hygiene.

[15]  L. Schulman,et al.  Percolation and Galaxies , 1986, Science.

[16]  P. Devreotes,et al.  Cyclic 3', 5'-AMP relay in dictyostelium discoideum. IV. Recovery of the cAMP signaling response after adaptation to cAMP , 1980, The Journal of cell biology.

[17]  D. L. Laidman.  Hormones, receptors and cellular interactions in plants , 1987 .

[18]  H Parnas,et al.  Computer evidence concerning the chemotactic signal in Dictyostelium discoideum. , 1977, Journal of cell science.

[19]  M. Cohen,et al.  Chemotaxis and the early stages of aggregation in cellular slime molds. , 1971, Journal of theoretical biology.

[20]  P. Devreotes,et al.  Cyclic 3', 5'-AMP relay dictyostelium discoideum. V. Adaptation of the cAMP signaling response during cAMP stimulation , 1980, The Journal of cell biology.

[21]  J Bures,et al.  Spiral waves of spreading depression in the isolated chicken retina. , 1983, Journal of neurobiology.

[22]  J. Murray,et al.  On the spatial spread of rabies among foxes. , 1992, Proceedings of the Royal Society of London. Series B, Biological sciences.

[23]  A. Winfree.  When time breaks down , 1987 .

[24]  A Goldbeter,et al.  Unified mechanism for relay and oscillation of cyclic AMP in Dictyostelium discoideum. , 1977, Proceedings of the National Academy of Sciences of the United States of America.

[25]  A Goldbeter,et al.  A mechanism for exact sensory adaptation based on receptor modification. , 1986, Journal of Theoretical Biology.

[26]  P. Rappelsberger,et al.  Cortical Seizure Patterns in Multidimensional View: The Information Content of Equipotential Maps , 1974, Epilepsia.

[27]  P. Devreotes,et al.  Adenosine 3',5'-monophosphate waves in Dictyostelium discoideum: a demonstration by isotope dilution--fluorography. , 1981, Science.

[28]  Jerome B. Zeldis,et al.  Dictyostelium Discoideum: A Developmental System , 1976, The Yale Journal of Biology and Medicine.

[29]  M. Sussman,et al.  Cellular Slime Molds , 1974 .

[30]  John J. Tyson,et al.  Spiral waves of cyclic amp in a model of slime mold aggregation , 1989 .

[31]  L. Segel,et al.  Model for chemotaxis. , 1971, Journal of theoretical biology.

[32]  S. A. MacKay.  Computer simulation of aggregation in Dictyostelium discoideum. , 1978, Journal of cell science.

[33]  H Parnas,et al.  A computer simulation of pulsatile aggregation in Dictyostelium discoideum. , 1978, Journal of theoretical biology.

[34]  F. Alcântara,et al.  Signal propagation during aggregation in the slime mould Dictyostelium discoideum. , 1974, Journal of general microbiology.