Ermakov G.L.
Stoichiometric Analysis of Biochemical Systems on Graphs. I. Graphical Rules of Finding of Conservation Relationships
Mathematical Biology & Bioinformatics. 2007;2(1):36-47.
doi: 10.17537/2007.2.36.
References
- Kitano H. Science. 2002;295:1662-1664. doi: 10.1126/science.1069492
- Kacser H0, Burns JA. Sypm. Soc. Exp. Biol. 1973;27:65-104.
- Schuster S, Dandekar T, Fell DA. Trends Biotechnol. 1999;17:53-60. doi: 10.1016/S0167-7799(98)01290-6
- Reder C. J. Theor. Biol. 1988;135:175-201.
- Clarke BL. Cell Biophys. 1988;12:237-253. doi: 10.1007/BF02918360
- Cornish-Bowden A, Hofmeyr J-H S. J. Theor. Biol. 2002;216:179-191.
- Stelling J, Klamt S, Bettenbrock K, Schuster S, Gilles ED. Nature. 2002;420:190-193. doi: 10.1038/nature01166
- Edwards JS, Palsson BO. PNAS USA. 2000;97:5528-5533. doi: 10.1073/pnas.97.10.5528
- Ravasz E, Somera AL, Mongru DA, Oltvai ZN, Barabasi AL. Science. 2002;297:15551-1555. doi: 10.1126/science.1073374
- Famili I, Palsson BO. J. Theor. Biol. 2003;224:87-96.
- Burgard AP, Nikolaev EV, Schilling CH, Maranas CD. Genome Research. 2004;14:301-312. doi: 10.1101/gr.1926504
- Papin JA, Palsson BO. J. Theor. Biol. 2004;227:283-297.
- Schuster S, Fell DA, Dandekar T. Nature biotechnol. 2000;18:326-332. doi: 10.1038/73786
- Kompala DS, Ramkrischna D, Jansen NB, Tsao GT. Biotechnol. Bioeng. 1986;28:1044-1056. doi: 10.1002/bit.260280715
- Savageau MA. J. Theor. Biol. 1969;25:365-369.
- Palsson BO, Joshi A, Ozturk SS. Fed. Proc. 1987;46:2485-2489.
- Ermakov GL. A Theoretical Graph Method for Search and Analysis of Critical Phenomena in Biochemical Systems. II. Kinetic Models of Biochemical Oscillators Including Two and Three Substances. Biochemistry. 2003;68(10):1121-1131.
- Ermakov GL. A Theoretical Graph Method for Search and Analysis of Critical Phenomena in Biochemical Systems. I. Graphical Rules for Detecting Oscillators. Biochemistry. 2003;68(10): 1109-1120.
- Vol'pert AI. Mathematics of the USSR – Sbornik. 1972;17(4):571-582. doi: 10.1070/SM1972v017n04ABEH001603
- Ivanova A.N. Kinetika i kataliz (Kinetics and Catalysis). 1979;20(4):1019-1023 (in Russ.).
- Ivanova AN. Kinetika i kataliz (Kinetics and Catalysis). 1979;20(4):1024-1028 (in Russ.).
- Likhoshvai VA, Matushkin IuG, Fadeev SI. Relationship between a Gene Network Graph and Qualitative Modes of Its Functioning. Molecular Biology. 2001;35( 6):926-932. doi: 10.1023/A:1013206906557
- Angeli D, Ferrell JE, Sontag ED. PNAS USA. 2004;101:1822-1827. doi: 10.1073/pnas.0308265100
- Chou K-C, Liu WM. J. Theor. Biol. 1981;91:637-654.
- Balandin AA. Izv. AN SSSR. ser. Khim. (Russian Chemical Bulletin). 1943;1:35 (in Russ.).
- Zeigarnik AV, Temkin ON. Kinetika i kataliz (Kinetics and Catalysis). 1994;35(5):702-710 (in Russ.).
- Horiuti J, Nakamura TZ. Phys. Chem. Neue Folge. 1957;11(5-6):358-365. doi: 10.1524/zpch.1957.11.5_6.358
- Temkin MI. Kinetics of stationary reactions. Dolk. Akad. Nauk SSSR. 1963;152(1):156.
- Emanuel NM. Knorre DG. In: Chemical Kinetics: Homogeneous Reactions. New York: Wiley (Halsted Press); 1973.
- Stepanov NF, Erlykina ME, Filippov GG. In: Metody lineinoi algebry v fizicheskoi khimii (Methods of Linear Algebra in Physical Chemistry). Moscow; 1976. 156-187 pp. (in Russ.).
- Yablonsky G, Bykov VI, Gorban AN, Elokhin VI. In: Kinetic Models of Catalytic Reactions. Amsterdam–Oxford–New York–Tokyo: Elsevier.
- Korzukhin MD. Zhurnal fiz. Khimii (Journal of Physical Chemistry). 1972;XLVI(7):1845-1847 (in Russ.).
- Harary Frank. Graph Theory. Addison–Wesley, Reading, MA; 1969.
- Evstegneev VA., Kas'ianov VN. Tolkovyi slovar' po teorii grafov v informatike i programmirovanii (Dictionary of graphs in computer science). Novosibirsk; 1999. P. 286 (in Russ.).
|
|
|
