A triangulated fixed connectivity surface model is investigated by using the Monte Carlo simulation technique. In order to have the macroscopic surface tension τ , the vertices on the one-dimensional boundaries are fixed as the edges (=circles) of the tubular surface in the simulations. The size of the tubular surface is chosen such that the projected area becomes the regular square of area A. ...

and Applied Analysis 3 where c0 0, ci n n − 1 · · · n − i 1 , and cn n!. Since τ > 0, ∫ t t0 x s ds ∫ t τ t0 τ x s − τ ds, 2.5 we have ∫ t τ t0 τ x s − τ ds ≥ ∫ t t0 τ x s − τ ds. 2.6 This together with 2.4 and 2.5 yield ∫ t t0 t − s e s ds ≥ − n−1 ∑ i 0 ci t − t0 n−ix n−i−1 t0 − cn ∫ t0 τ t0 x s − τ ds ∫ t t0 [ cnx s − τ − t − s q s x s − τ ] ds. 2.7 For given t and s t > s , set F x cnx − t −...

Diffusion equations with delay are basic mathematical models in areas where time lags or hereditary characteristics are present, as in the dynamics of structured populations, heat transfer in materials with thermal memory or control theory. In this work two implicit numerical difference schemes for the diffusion equations with delay ut(t, x) = a uxx(t, x) + a cuxx(t− τ , x), t > τ , 0 ≤ x ≤ l, ...

– We investigate the distribution of the resonance widths P(Γ) and Wigner delay times P(τW) for scattering from two-dimensional systems in the diffusive regime. We obtain the forms of these distributions (log-normal for large τW and small Γ, and power law in the opposite case) for different symmetry classes and show that they are determined by the underlying diffusive classical dynamics. Our th...

BACKGROUND Device optimization is not routinely performed in patients who underwent cardiac resynchronization therapy (CRT) device implantation. Noninvasive optimization of CRT devices by measurement of cardiac output (CO) can be used as a simple method to assess ventricular systolic performance. The aim of this study was to assess whether optimization of atrioventricular (AV) and interventricu...

In this paper, a diffusive predator–prey model with memory effect in predator and anti-predator behaviour prey is studied. The stability of the coexisting equilibrium existence Hopf bifurcation are analysed by analysing distribution characteristic roots. property investigated theory centre manifold normal form method. Through numerical simulations, it observed that parameter η, memory-based dif...