### METHODS OF THE PATTERN FORMATION IN NUMERICAL MODELING OF BIOLOGICAL PROBLEMS

**DOI Number**

**First page**

**Last page**

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

Popov, V.L., Heß M., 2015, Method of Dimensionality Reduction in Contact Mechanics and Friction, Springer DE.

Landau, L.D., 1937, Theory of phase transitions, Zh. Eksp. Teor. Fiz. pp. 19–32.

Patashinskii, A. Z., Pokrovskii, V.L., 1979, Fluctuarion Theory of Phase Transitions, Pergamon Press, Oxford.

Landau, L.D., Khalatnikov I.M., 1965, On the anomalous absorption of sound near a second order phase transition point, In Collected Papers of L.D. Landau, Edited by D. ter Haar, Elsevier Inc., pp. 626-629.

Kuzovlev, Yu.E., Soboleva, T.K., Filippov, A.E., 1993, Structure and evolution of new phase nuclea at first order phase transitions, Journ.Exp. and Theor.Phys., 76, pp. 858-867.

Kuzovlev, Yu.E., Soboleva, T.K., Filippov A.E., 1993, Formation of the filli structure at nucleation processes, J. Exp. Theor. Phys. Lett., 58, pp. 357-362.

Zeltser, A.S., Soboleva, T.K., Filippov, A.E., 1995, Automatic blocking of the nucleation and universality of kinetic phenomena at first order phase transitions, J. Exp. Theor. Phys., 81, pp. 193-201.

Filippov, A.E., 1994, Large scale structure of fluctuating order parameter field, J. Stat. Phys., 75, pp. 241-252.

Filippov, A.E., 1998, Two-component model for the growth of porous surface layers, J. Exp. Theor. Phys., 87, pp.814 – 822.

Filippov, A.E., Popov, V.L, 2007, Fractal Tomlinson model for mesoscopic friction: From microscopic velocity-dependent damping to macroscopic Coulomb friction, Phys. Rev., E 75 27103.

Filippov, A.E., Popov, V.L., Gorb, S.N., 2011, Shear induced adhesion: contact mechanics of biological spatula-like attachment devices, J. Theor. Biol., 276, pp. 126-131.

Starcevic J., Popov, V.L., Filippov, A.E., 2007, Reconstruction of potential from dynamic experiments, Phys. Rev. E 75, 066104.

Soboleva, T.K., Wedderburn, M.E., Filippov, A.E., 2000, A mathematical model of competitive self-organization, J. Complexity Int., 8, pp. 1-10.

Kosterlitz, J.M., Thouless, D.J., 1973, Ordering, metastability and phase transitions in two-dimensional systems, J. Phys. C: Solid State Physics, 6, pp. 1181–1203.

Kovalev, A, Filippov, A.E., Gorb, S.N., 2016, Correlation analysis of symmetry breaking in the surface nanostructure ordering: case study of the ventral scale of the snake Morelia viridis, Appl. Phys. A, 122(253), pp. 3-6.

Filippov, A.E, Wolff, J.O., Seiter, M., Gorb, S.N., 2017, Numerical simulation of colloidal self-assembly of super-hydrophobic arachnid cerotegument structures, J. Theor. Biol., 430, pp. 1-8.

DOI: https://doi.org/10.22190/FUME190227027F

### Refbacks

- There are currently no refbacks.

ISSN: 0354-2025 (Print)

ISSN: 2335-0164 (Online)

COBISS.SR-ID 98732551

ZDB-ID: 2766459-4