Fractal dimension and complexity in the long-term dynamics of a monomolecular layer

Chaos, Solitons and Fractals

Volumn 81, Issue , 2015, Pages 534-541

  Basak, Uttam Kumar ^a   Datta, Alokmay ^a  

^a SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

Author keywords

Complexity; Fractal; Fractal dimension; Langmuir monolayer; Nucleation dynamics

Indexed keywords

BINARY IMAGES; CARBON; DYNAMICS; FATTY ACIDS; FRACTALS; MONOLAYERS; NUCLEATION;

64.60.AL; 68.18.-G; 68.55.A; COMPLEXITY; LANGMUIR MONOLAYERS;

FRACTAL DIMENSION;

EID: 84948575973     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2015.08.008     Document Type: Article

References (25)

1. Brezesinski G., and Möhwald H. Langmuir monolayers to study interactions at model membrane surfaces Adv Colloid Interface Sci 100-102 0 2003 563 584 10.1016/S0001-8686(02)00071-4
2. Angelova A., Vollhardt D., and Ionov R. 2D-3D transformations of amphiphilic monolayers influenced by intermolecular interactions: a Brewster angle microscopy study J Phys Chem 100 25 1996 10710 10720 10.1021/jp960417k
3. Basak UK., and Datta A. Dynamics driven by lipophilic force in Langmuir monolayers: in-plane and out-of-plane growth Phys Rev E 91 4 2015 042405 10.1103/PhysRevE.91.042405
4. Kundu S., Chakraborty H., Sarkar M., and Datta A. Interaction of oxicam NSAIDs with lipid monolayer: anomalous dependence on drug concentration Colloids Surf B: Biointerfaces 70 1 2009 157 161
5. Nunes C., Brezesinski G., Pereira-Leite C., Lima JLFC., Reis S., and Lúcio M. NSAIDs interactions with membranes: a biophysical approach Langmuir 27 17 2011 10847 10858
6. Thakur G., Micic M., and Leblanc RM. Surface chemistry of Alzheimer's disease: a Langmuir monolayer approach Colloids Surf B: Biointerfaces 74 2 2009 436 456
7. Schulte W., Orlof M., Brand I., Korchowiec B., and Rogalska E. A Langmuir monolayer study of the action of phospholipase {A2} on model phospholipid and mixed phospholipid-gm1 ganglioside membranes Colloids Surf B: Biointerfaces; 116 2013 389 395 10.1016/j.colsurfb.2013.12.032)
8. Serro A., Galante R., Kozica A., Paradiso P., da Silva AG., Luzyanin K., and et al. Effect of tetracaine on DMPC and DMPC + cholesterol biomembrane models: liposomes and monolayers Colloids Surf B: Biointerfaces 116 2014 63 71
9. Basak UK., Datta A., and Bhattacharyya D. Stability and softening of a lipid monolayer in the presence of a pain-killer drug Colloids Surf B: Biointerfaces 132 2015 34 44 10.1016/j.colsurfb.2015.04.059
10. Baoukina S., Monticelli L., Risselada HJ., Marrink SJ., and Tieleman D.P. The molecular mechanism of lipid monolayer collapse Proc Natl Acad Sci 105 31 2008 10803 10808
11. Szcześ A., Jurak M., and Chibowski E. Stability of binary model membranes - prediction of the liposome stability by the Langmuir monolayer study J Colloid Interface Sci 372 1 2012 212 216
12. Brzozowska A., Duits M., and Mugele F. Stability of stearic acid monolayers on artificial sea water Colloid Surf A: Physicochem Eng Asp 407 0 2012 38 48 10.1016/j.colsurfa.2012.04.055
13. Goto TE., and Caseli L. Understanding the collapse mechanism in Langmuir monolayers through polarization modulation-infrared reflection absorption spectroscopy Langmuir 29 29 2013 9063 9071 10.1021/la402044c
14. Lee K. Collapse mechanisms of Langmuir monolayers Annu Rev Phys Chem 59 2008 771 791
15. Dubravko R., Gašparović B., and Ćosović B. Impact of fractal geometry on permittivity and related quantities J Phys Chem B 106 38 2002 9810 9814 10.1021/jp026192x
16. Risović D., Frka S., and Kozarac Z. Application of Brewster angle microscopy and fractal analysis in investigations of compressibility of Langmuir monolayers J Chem Phys 134 2 2011 10.1063/1.3522646
17. Edler KJ., Arrowsmith M., Hamilton M., and Rigby SP. Modeling the fractal growth of templated, mesoporous silica films J Phys Chem B 109 13 2005 6294 6303 10.1021/jp045304c
18. Knüfing L., Schollmeyer H., Riegler H., and Mecke K. Fractal analysis methods for solid alkane monolayer domains at SiO2/air interfaces Langmuir 21 3 2005 992 1000 10.1021/la0476783 pMID: 15667180
19. Oliveira RG., Tanaka M., and Maggio B. Many length scales surface fractality in monomolecular films of whole myelin lipids and proteins J Struct Biol 149 2 2005 158 169 10.1016/j.jsb.2004.11.003
20. Schindelin J., Arganda-Carreras I., Frise E., Kaynig V., Longair M., Pietzsch T., and et al. Fiji: an open-source platform for biological-image analysis Nat Methods 9 7 2012 676 682
21. Vehel JL, et al. Fraclab 2.0: A fractal analysis toolbox for signal and image processing (2002).
22. Mandelbrot BB. The fractal geometry of nature vol. 173 1983 Macmillan
23. Williams T, Kelley C, et al. Gnuplot 4.4: an interactive plotting program, http://gnuplot.sourceforge.net/ (March 2010).
24. Moré JJ. The Levenberg-Marquardt algorithm: implementation and theory Numerical analysis 1978 Springer 105 116
25. Dathe A., Eins S., Niemeyer J., and Gerold G. The surface fractal dimension of the soil-pore interface as measured by image analysis Geoderma 103 1 2001 203 229