References:
× Anfinsen, Christian B. “Studies on the Principles that Govern the Folding of Protein Chains” Nobel Lecture 1972.
× Bolm C., Bienewald F., Seger A. ”Asymmetric Autocatalysis and Amplification of Chirality” Angew. Chem. Int. Ed. 1996, 35, 1657-1659.
× Chen J., Körner S., Craig S.L., Rudkevich D.M., Rebek J.Jr. “Chemical Amplification with Encapsulated Reagents” Proc. Natl. Ac. Sci. U.S.A. 2002, 99, 2593-2596.
× Cram, Donald J. “The Design of Molecular Hosts, Guests, and Their Complexes” Nobel Lecture 1987.
× Cuthbertson K.S.R., Cobbold P.H. “Ester and Sperm Activate Mouse Oocytes by Inducing Sustained Oscillations in Cell Ca-2+” Nature 1985, 316, 541-542.
× Dale J.K., Maroto M., Dequeant M.-L., Malapert P., McGrew M., Pourquie O. “Periodic Notch Inhibition by Lunatic fringe Underlines the Chick Segmentation Clock” Nature 2003, 421, 275-279.
× De Koninck P., Schulman H. “Sensitivity of CaM-kinase II to Frequency of Ca2+ oscillations” Science 1998, 279, 227-230.
× Dewel G., Kondepudi D., Prigogine I. in “The New Chemistry” (ed. N. Hall) p. 440-464 (Cambridge University Press, 2000).
× Dolmetsch R.E., Xu K., Lewis R. “Calcium oscillations Increase the Efficiency and Specificity of Gene Expression” Nature 1998, 329, 933-936.
×
Feringa B.L.,
van Delden R.A. “Absolute Asymmetric Synthesis” Angew. Chem. Int. Ed. 1999,
38, 3418-3438.
× Frank F.C. “Spontaneous Asymmetric Synthesis” Biochem. Biophys. Acta 1953, 11, 459-463.
× Hofer T. “Model of Intracellular Calcium Oscillations in Hepatocytes: Synchronization of Heterogeneous Cells” Biophys J., 1999, 77, 1244-1256.
× Goldbeter A. “Biochemical Oscillations and Cellular Rhythms” (Cambridge Univ. Press 1996).
× Goldbeter A., Gonze D., Houart G., Leloup J.C., Halloy J., Dupont G. “From Simple to Complex Oscillatory Behavior in Metabolic and Genetic Control Networks” Chaos 2001, 11, 247-260.
× Jaffe L.F. “Organization of Early Development by Calcium Patterns” BioEssays 1999, 21, 657-667.
× Jiang Y.-J. Aerne B.L., Smithers L., Haddon C., Ish-Horowicz D., Lewis J. “Notch Signaling and the Synchronization of the Somite Segmentation Clock” Nature 2000, 408, 475-479.
× Klug, Aaron “From Macromolecules to Biological Assemblies” Nobel Lecture 1982.
× Kondepudi D.K., Nelson G.W. “Weak Neutral Current and the Origin of Biomolecular Chirality” Nature 1985, 314, 438-442.
× Krebs L.T., Iwai N., Nonaka S., Welsh I.C., Lan Y., Jiang R.L., Saijoh Y., O'Brien T.P., Hamada H., Gridley T. “Notch Signaling Regulates Left-right Asymmetry Determination by Inducing Nodal Expression” Genes. Dev. 2003, 17, 1207-1212.
× Lechleiter J., Girard S., Peralta E., Clapham D. “Spiral Calcium Wave Propargation and Annihilation in Xenopus laevis Oocytes” Science 1991, 251, 123-126.
× Lee D.H., Granja J.R., Martinez J.A., Severin K., Ghadiri R.M. “A Self-replicating Peptide” Nature 1996, 382, 525-528.
×
Lee Tsung Dao “Weak
Interactions and Nonconservation of Parity” Nobel Lecture 1957.
×
Lehn, Jean-Marie “Supramolecular Chemistry - Scope and
Perspectives
Molecules - Supermolecules - Molecular Devices” Nobel Lecture 1987.
× Li T., Nicolaou K.C. “Chemical Self-replication of Palindromic Duplex DNA” Nature 1994, 369, 218-221.
× Li W., Llopis J., Whitney M., Zlokarnik G., Tsien R. “Cell-permeant Caged InsP(3) Ester Shows that Ca2+ Spike Frequency can Optimize Gene Expression” Nature 1998, 392, 936-941.
×
McGrath J., Somlo S., Makova S., Tian X.,
Brueckner M. “Two Populations of Node Monocilia-initiate left-right asymmetry
in the Mouse” Cell 2003, 114, 61-73.
× Morita K., Koketsu K., Kuba K. “Oscillation of Intracellular Calcium-linked Potassium Conductance in Bullfrog Sympathetic Ganglion Cell is Sensitive to Intracellular Anions” Nature 1980, 283, 204-206.
× Nash M.S., Young K.W., Chaliss R.A.J., Nagorski S.R. “Intracellular Signaling - Receptor-specific Messenger Oscillations” Nature 2001, 413, 381-382.
× Prigogine I., Stengers I. “Order out of Chaos” (Bantam Books, 1984).
×
Prigogine, Illya “Time,
Structure and Fluctuations” Nobel Lecture
1977.
× Putney J.W.Jr. “Calcium Signaling: Up, down, up down … What’s the point?” Science 1998, 279, 191-192.
× Raya Á., Kawakami Y., Rodriguez-Esteban C., Ibanes M., Rasskin-Gutman D., Rodriguez-Leon J., Buscher D., Feijo J., Belmonte J.C.I. “Noth Activity acts as a Sensor for Extracellular Calcium During Vertebrate Left-right Determination” Nature 2004, 247, 121-125.
× Sato I., Urabe H., Ishiguro S., Shibata T., Soai K. “Amplification of chirality from extremely low to greater than 99.5% ee by asymmetric autocatalysis” Angew. Chem. Int. Ed. 2003, 42, 315-317.
× Schuster S., Marhl M., Höfer T. “Modeling of Simple and Complex Calcium Oscillations. From Single Cell Responses to Intracellular Signaling” Eur. J. Biochem. 2002, 269, 1333-1354.
×
Shibata T., Yamammoto J., Matsumoto N., Yonekubo S.,
Osanai S., Soai K. “Amplification of A
Slight Enantiomeric Imbalance in Molecules Based On Asymmetric Autocatalysis: the
First Correlation Between High
Enantiomeric Enrichment in a Chiral Molecule and Circularly Polarized Light”
J. Am. Chem. Soc. 1998, 120, 12157-12158.
× Singleton D.A., Vo L.K. “A Few Molecules can Control the Enantiomeric Outcome. Evidence Supporting Absolute Asymmetric Synthesis Using the Soai Asymmetric Autocatalysis” Org. Lett. 2003, 5, 4337-4339.
× Soai K., Shibata T., Morioka K., Choji K. “Asymmetric Autocatalysis and Amplification of Enantiomeric Excess of a Chiral Molecule” Nature 1995, 378, 767-768.
× Strozatzh S “SYNC: The Emerging Science of Spontaneous Order” (New York 2003).
× Terfort A., von Kiedrowski G. “Self-Replication by Condensation of 3-Aminobenzamidines and 2-Formylphenoxyacetic Acids” Angew. Chem. Intl. Ed. 1992, 31, 654-656.
× Wilkins, Maurice “The Molecular Configuration of Nucleic Acids” Nobel Lecture 1962.
× Woods N.M., Cuthbetson K.S.R., Cobbold P.H. “Repetitive Transient Rises in Cytoplasmic Free Calcium in Hormone-Stimulated Hepatocytes” Nature 1986, 319, 600-602.
×
Winfree A.T. “The
prehistory of the Belousov-Zhabotinsky oscillator” J. Chem. Ed. 1984,
61(8), 661-663.
×
Yang, Chen Ning “The
Law of Parity Conservation and Other Symmetry Laws of Physics” Nobel Lecture 1957.
× Yang L., Epstein I.R. “Oscillatory Turing Patterns in Reaction-diffusion Systems with Two Coupled Layers” Phys. Rev. Lett. 2003, 90, 178303.
× Zanasi R., Lazzeretti P., Ligabue P.A., Soncini A. “Theoretical results which strengthen the hypothesis of electroweak bioenantioselection” Phys. Rev. E 1999, 59, 3382.
× Zaikin A.N., Zhabotinskii A.M. “Concentration Wave Propagation in Two-dimensional Liquid-phase Oscillating System” Nature 1970, 255, 535-537.
×
Zhabotinskii, A.M. “Periodic process of the oxidation of malonic acid in solution (study of kinetics
of Belousov's reaction)” Biofizika
1964, 9, 306-311.
Web-sites:
Mathematical Art (background illustrations) was generously provided by Paul Bourke (The Swinburne Centre for Astrophysics and Supercomputing at Swinburne University of Technology in Melbourne, Australia.)
http://astronomy.swin.edu.au/~pbourke/fractals/
Collection of Movies of Oscillating Patterns were provided by Prof. John Pojman (Department of Chemistry and Biochemistry, University of Southern Mississippi)
http://www.pojman.com/NLCD-movies/NLCD-movies.html (reference page)
Original URLs:
http://www.uthscsa.edu/csb/faculty/lechleiter.html (Spiral Ca-waves)
http://hopf.chem.brandeis.edu/ (Turing pattern)
http://www.iop.org/EJ/article/1367-2630/5/1/358/nj3158.html (BZ target patterns)
http://waves.mbl.edu/calcium.waves.html (Ca-wave in Medaka egg)
Embryo time frames were adopted from
http://visembryo.com/baby/hp.html