Discrete model of transition between order and static chaos in peptides and polymers

• Autorzy: Makaruk H.
• Konferencja: International Conference on Continuous and Discrete Modelling in Mechanics (05-09.09.2005 ; Warsaw ; Poland)
• Języki publikacji: EN

Abstrakty

EN

Biological function of a peptide or properties of a polymer material depend on chemical composition of a macromolecule and on its geometry. A mechanistic model is considered to investigate the factors changing a geometrically ordered macromolecule into a geometrically chaotic one, assuming no chemical change. 2D and 3D examples show how a small change in interaction between parts of a macromolecule can transform an ordered geometry of the (bio) polymer into a chaotic one. It is mathematically interesting that the systems obey the difference equations, which in the continuum limit lead to differential equations with well-behaving (non-chaotic) solutions, while in certain cases behavior of the difference equations seems to be chaotic.

Słowa kluczowe

EN

peptides; 2D analysis; 3D analysis; sine-Gordon equation

PL

peptydy; polimery; chaos; analiza dwuwymiarowa; analiza trójwymiarowa; sinus Gordona

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2006
• Tom: Vol. 58, nr 4-5
• Strony: 381--391
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Makaruk H.

• P-22, E548, Los Alamos National Laboratory, Los Alamos, NM, 87545, US,

Bibliografia

• 1. I. TOBIS, D. SWINGON, B. D. COLEMAN, Elastic stability of DNA configurations: I. General theory, Phys. Rev. E, 61, 1, 751-758, 2000.
• 2. I. TOBIS, D.SWINGON, B. D. COLEMAN, Elastic stability of DNA configurations: II. Supercoiled plasmids with self-contact, Phys. Rev. E, 61, 1, 759-770, 2000.
• 3. B. D. COLEMAN, D. SWINGON, Theory of supercoiled elastic rings with self-contacts and its application to DNA plasmids, J. Elasticity, 60, 3, 173-221, 2000.
• 4. B. D. COLEMAN, D.SWINGON, Theory of self-contact in Kirchhoff rods with application to supercoiling of knotted and unknotted DNA plasmids, Phil. Trans. Roy. Soc. Lond. A. 362, 1820, 1281-1299, 2004.
• 5. T. LIPNIACKI, Statics of rigid units chain, Int. J. Bifurcation and Chaos in Applied Sciences and Engineering, 11, 3, 845-55, 2001.
• 6. B. KAZIMIERCZAK, T. LIPNIACKI, Homoclinic solutions in mechanical systems with small dissipation. Application to DNA dynamics, J. Mathem. Biology, 44, 4, 309-329, 2002.
• 7. H. ZORSKI, H. MAKARUK, Static chaos of polymer and biopolymer chains, J. Tech. Phys., 38,1, 365-72, 1997.
• 8. H. ZORSKI, E. INFELD, Continuum dynamics of a peptide chain, Int. J. Non-Linear Mechanics, 32, 5, 769-801, 1997.