Coupled cell systems associated with a coupled network are determined by (smooth) vector fields that consistent the structure. Here, we follow formalisms of Stewart, Golubitsky and Pivato (Symmetry groupoids patterns synchrony in networks, SIAM J. Appl. Dyn. Syst. 2 (4) (2003) 609--646), Golubistky, Stewart Torok (Patterns networks multiple arrows, Dynam. Sys. 4 (1) (2005) 78--100) Field (Combi...

To improve the oral bioavailability of cidofovir (CDV), a series of ether lipid ester prodrugs were synthesized and evaluated for activity against murine cytomegalovirus (MCMV) infection. Four of these analogs, hexadecyloxypropyl (HDP)-CDV, octadecyloxyethyl (ODE)-CDV, oleyloxyethyl (OLE)-CDV, and oleyloxypropyl (OLP)-CDV, were found to have greater activity than CDV against human CMV and MCMV ...

VPM (continuation method or homotopy method) may be considered as special development and modification of classical Newton’s method, see [1] [5], [16]. The main idea of VPM admits short formulation: reducing of a given problem to some IVP for ODE. This fundamental principle of mathematical physics is well known, widely used and effective because IVP for ODE may be considered as a routine comput...

Many advances in research regarding immuno-interactions with cancer were developed with the help of ordinary differential equation (ODE) models. These models, however, are not effectively capable of representing problems involving individual localisation, memory and emerging properties, which are common characteristics of cells and molecules of the immune system. Agent-based modelling and simul...

In Part I of this paper we discussed new methods for the numerical continuation of point-tocycle connecting orbits in 3-dimensional autonomous ODE’s using projection boundary conditions. In this second part we extend the method to the numerical continuation of cycle-to-cycle connecting orbits. In our approach, the projection boundary conditions near the cycles are formulated using eigenfunction...