22. 07. 2011
Natálie Friedová
Belousov–Zhabotinsky Reaction
• example of the non–equilibrium thermodynamics
• resulting in the establishment of a nonlinear
chemical oscillator
• the change of colour during the reaction bases on the
oxidation of ferroin
• consists of 80 chemical reactions
• 2 main types – bubble x bubble free reaction
BZ - reaction
Sodium
bromate
Ferroin
• discovered
by the soviet
chemist Belousov in 1950
• explained by the graduate
student - soviet
chemist Zhabotinsky
Boris Pavlovich Belousov
• for the first time
presented at a conference
in Prague in 1968
• model of citric acid cycle
Anatoly Markovich Zhabotinsky
Aim of our project
• Our goal:
-> discovering differences between the reactions in the different
shapes
-> learn how to construct a state trajectory of the reaction
• For the future research:
-> we would like to test the possibility of using these algorithms
to construct the state trajectory of the cell
-> with this knowledge find the way how to understand the
behavior of the cell
NaBrO3
H2O
CH2(COOH)2
H2SO4
H2O
NaBr
H2O
Ferroin
(1,10 -phenanthroline)
Video of the
reaction in the different
shapes
a = 30 mm
b = 41,92 mm
α = 12,5 °
a = 50 mm
a = 12,83 mm
c = 50 mm
a = 90 mm
β = 45°
b = 5 mm
Methods
• Our
analysis was made in the program:
The Unscrambler X 10.1
• Method: Processing of images by using information entropy
(entropy based on Rényi equation)
1
 n 
H ( X ) 
log   pi 
•
1
 i 1 
• By changing parameter α we emphasize different part of
image
• State trajectory – RGB images of BZ reaction, from each
image we compute 13 entropy images 3 x 13 = 39 channels
• PCA
• different clusters – k–mean clustering
• comparing the graphs
1. Triangle
2. Rectangle
4. Petri dish
3.Square
Results
- We prepared the reaction in the different shapes.
- The speed of the reaction depends on the shape
and volume.
- In triangle and square the reaction starts in the
corner, in the Petri dish, it starts randomly on the
border.
- We constructed the state trajectory of the reaction
and the detail analysis will be presented later.
- The state trajectory of each shape is different but
the ground of all of them is spiral.
This research was made under the project
of the Summer academic courses ( in July 2011)
Laboratory:Institute of Physical Biology,
Zámek 136, Nové Hrady 373 33, CZE
Leader of the project: MSc. Tomáš Náhlík
•
•
•
•
J.Phys.Chem. 1987,91,2181-2184 Bubble – Free Belousov- Zhabotinskii-Type Reactions
http://nelterm.kof.zcu.cz/chemie/uvod/chuvod.htm
http://en.wikipedia.org/wiki/BZ_reaction
http://www.scholarpedia.org/article/Belousov-Zhabotinsky_reaction
Pictures
• http://www.chemicalsources.net/sodium-bromate-99-5-14313.htm
• http://www.ask.com/wiki/Ferroin
• http://en.wikipedia.org/wiki/Boris_Pavlovich_Belousov
• http://blogs.msdn.com/b/jgalasyn/archive/2008/04/17/using-writeablebitmap-to-display-a-procedura texture.aspx
• http://www.faidherbe.org/site/cours/dupuis/oscil.htm
• http://www.faidherbe.org/site/cours/dupuis/oscil.htm
• http://www.scholarpedia.org/article/Belousov-Zhabotinsky_reaction
• http://hopf.chem.brandeis.edu/w_s_b.html
•http://www.math.ubc.ca/~conway/ComPatt.html
•http://commons.wikimedia.org/ wiki/File:Ferroin2.png?uselang=de
• http://www.coleparmer.com/1/1/30299-copper-ii-bromide-anhydrous-99-5g-yo-88220-79.html
• http://math.ucr.edu/home/baez/week235.html
• http://oko.yin.cz/1/kyselina-sirova
• http://www.green-planet-solar- energy.com/h2o-molecule.html
• http://nelterm.kof.zcu.cz/chemie/uvod/chuvod.htm
•http://lclane2.net/bz.html
• http://drjackcohen.com/BZ01.html
• A. 25 g NaBrO3 , 335 ml H2O, 10 ml H2SO4
• B. 10 g NaBr, 100 ml H2O
• C. 10 g CH2 (COOH)2 , 100 ml H2O
• D. 1,10 phenantroline ferrous complex
• oxidation of organic substance (malonic acid) by bromate, producing CO2
• catalysed by the redox indicator
• reaction of substrate with bromine -> brominederivate
• Br- are released – inhibitor
• oxidation ferroin by the bromide to ferrin , production of HBrO2
• after the oxidation of all ferroin the reaction starts again -> ferroin -> brommalonic
acid
• changing colours: ferroin with bromide colourise fusion to red
ferrin with bromate colourise fusion to blue
HBrO3
HBrO2
Fe(phen)32+
Br-
Fe(phen)33+
RBr