Chaos and Self-Structuring in Biological Systems

Ghizdovăţ, Vlad; Ştefănescu, Cipriana; Guţu, Mihai Marius; Vasincu, Decebal; Ionescu, Teodor-Marian

doi:10.2478/bipmf-2021-0002

Abstract

Assuming that the structural entities of a complex system assimilated to a biological structure move on fractal curves, the biological systems dynamics are studied. Our theoretical model shows that oscillations via self-similarity can be achieved in these types of systems. Furthermore, some potential applications of the interferential property of biological systems are presented, in emerging interdisciplinary fields such as molecular communication.

References

Akyildiz I.F., Brunetti F., Blazquez C., Nanonetworks: A New Communication Paradigm, Computer Networks, 52, 2260-2279 (2008).
Search in Google Scholar Back to article
Aram V., Iranmanesh A., Majid Z.A., Spider Representation of DNA Sequences, J. Comput. Theor. Nanosci., 11, 418-420 (2014).
Search in Google Scholar Back to article
Arlet J.B., Aron-Wisknwsky J., Attias D., Blan F.X., Bertolus C., Deffieux X. et al., Le Book des ECN, translated in Romanian, Cluj-Napoca, Medical University Publishing House (2011).
Search in Google Scholar Back to article
Audoly B., Neukirch S., Fragmentation of Rods by Cascading Cracks: Why Spaghetti Does Not Break in Half, Physical Review Letters, 95, 095505 (2005).
Search in Google Scholar Back to article
Badii R., Politi A., Complexity: Hierarchical Structure and Scaling in Physics, Cambridge, Cambridge University Press (1997).10.1017/CBO9780511524691
Search in Google Scholar Back to article
Balasubramaniam S., Lio P., Multi-Hop Conjugation-Based Bacteria Nanonetworks, IEEE Transactions on NanoBioscience, 12, 47-59 (2013).10.1109/TNB.2013.223965723392386
Search in Google Scholar Back to article
Coleman B.D., Dill E.H., Lembo M., Lu Z., Tobias I., On the Dynamics of Rods in the Theory of Kirchhoff and Clebsch, Arch. Rational Mech. Anal., 121, 339-359 (1993).
Search in Google Scholar Back to article
Cobo L.C., Akyildiz I.F., Bacteria-Based Communication in Nanonetworks, Nano Communication Networks, 1, 244-256 (2010).10.1016/j.nancom.2010.12.002
Search in Google Scholar Back to article
Cretan M.I., Grigoras S., Hanganu C.L., Stamate V.-C., Ianus G., Wear of Human Joint Devices of Ultra-High-Molecular-Weight Polyethilene (UHMWPE) a Result of Mecanical Compression, Materiale Plastice, 3, 217-220 (2007).
Search in Google Scholar Back to article
Gurlui S., Agop M., Nica P., Ziskind M., Focşa C., Experimental and Theoretical Investigations of Transitory Phenomena in High-Fluence Laser Ablation Plasma, Phys. Rev. E, 78, 026405 (2008).10.1103/PhysRevE.78.02640518850944
Search in Google Scholar Back to article
Hasan M., Hossain E., Balasubramaniam S., Koucheryavy Y., Social Behavior in Bacterial Nanonetworks: Challenges and Opportunities, arXiv:1411.4214v1 [cs.ET] (2014).10.1109/MNET.2015.7018200
Search in Google Scholar Back to article
Luo J., Li G., Song D., Liang C., Integrating Functional and Topological Properties to Identify Biological Network Motif in Protein Interaction Networks, J. Comput. Theor. Nanosci., 11, 744-750 (2014).
Search in Google Scholar Back to article
Mandelbrot B.B., The Fractal Geometry of Nature (Updated and Augm. Ed.), New York, W. H. Freeman (1983).
Search in Google Scholar Back to article
Mitchell M., Complexity: A Guided Tour, Oxford, Oxford University Press (2009).
Search in Google Scholar Back to article
Nottale L., Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity, Singapore, World Scientific (1993).
Search in Google Scholar Back to article
Nottale L., Scale Relativity Theory and Integrative Systems Biology: 2 Macroscopic Quantum-Type Mechanics, Progress in Biophysics and Molecular Biology, 97, 115-157 (2008).
Search in Google Scholar Back to article
Nottale L., Scale Relativity and Fractal Space-Time – A New Approach to Unifying Relativity and Quantum Mechanics, London, Imperial College Press (2011).10.1142/p752
Search in Google Scholar Back to article
Nottale L., Macroscopic Quantum-Type Potentials in Theoretical Systems Biology, Cells, 1, 1-34 (2013).10.3390/cells3010001398074124709901
Search in Google Scholar Back to article
Pierobon M., Akyildiz I., A Physical End-to-End Model for Molecular Communication in NanoNetworks, IEEE Journal on Selected Areas in Communications, 28, 602-611 (2010).10.1109/JSAC.2010.100509
Search in Google Scholar Back to article
Romond P.C., Rustici M., Gonze D., Goldbeter A., Alternating Oscillations and Chaos in a Model of Two Coupled Biochemical Oscillators Driving Successive Phases of the Cell Cycle, Ann NY Acad Sci, 879, 180-193 (1999).
Search in Google Scholar Back to article
Rusu V., Medical Dictionary (in Romanian), Iaşi, Medical Publishing House (2007).
Search in Google Scholar Back to article
Serban D.N., Serban I.L., Bild W., Human Physiology. The Cell and the Internal Medium (in Romanian), Iaşi, PIM (2008).
Search in Google Scholar Back to article
Stefanescu C., Rusu V., Biophysics and Medical Physics: An Introduction, Iaşi, Tehnopress (2008).
Search in Google Scholar Back to article
Winfree A.T., The Geometry of Biological Time, 2nd Ed., New York, Springer (2000).10.1007/978-1-4757-3484-3
Search in Google Scholar Back to article