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9 papers
A new model for the immune clonal networks
V. V. Gafiychuk, A. K. Prykarpatsky
This paper deals with a new model for clonal network dynamics. We describe in detail this model and derive special equations governing immune system dynamics based on the general g…
The properties of quasispecies dynamics in molecular evolution
V. V. Gafiychuk, A. K. Prykarpatsky
We consider the general properties of the quasispecies dynamical system from the standpoint of its evolution and stability. Vector field analysis as well as spectral properties of…
Hamiltonian and gradient properties of certain type of dynamical systems
A. K. Prykarpatsky, V. V. Gafiychuk
From the sandpoint of neural network dynamics we consider dynamical system of special type pesesses gradient (symmetric) and Hamiltonian (antisymmetric) flows. The conditions when…
Replicator dynamical systems and their gradient and Hamiltonian properties
A. A. Prykarpatsky, V. V. Gafiychuk
We consider the general properties of the replicator dynamical system from the standpoint of its evolution and stability. Vector field analysis as well as spectral properties of su…
Quasi-stationary Stefan problem and computer simulation of interface dynamics
R. Andrushkiw, V. Gafiychuk, R. Zabrodsky
The computer simulation of quasistationary Stefan problem has been realized. Different representations of the Laplacian growth model are considered. The main attention has been pai…
Anomalous properties of heat diffusion in living tissue caused by branching artery network. Qualitative description
I. A. Lubashevsky, V. V. Gafiychuk, B. Y. Datsko
We analyze the effect of blood flow through large arteries of peripheral circulation on heat transfer in living tissue. Blood flow in such arteries gives rise to fast heat propagat…