43 |
|
torques\cite{Mielke2004}. Membrane fusion is another key biological |
44 |
|
process which controls a variety of physiological functions, such as |
45 |
|
release of neurotransmitters \textit{etc}. A typical fusion event |
46 |
< |
happens on the time scale of millisecond, which is impractical to |
46 |
> |
happens on the time scale of a millisecond, which is impractical to |
47 |
|
study using atomistic models with newtonian mechanics. With the help |
48 |
|
of coarse-grained rigid body model and stochastic dynamics, the |
49 |
|
fusion pathways were explored by many |
528 |
|
\end{center} |
529 |
|
\end{table} |
530 |
|
|
531 |
< |
Another set of calculation were performed to study the efficiency of |
531 |
> |
Another set of calculations were performed to study the efficiency of |
532 |
|
temperature control using different temperature coupling schemes. |
533 |
|
The starting configuration is cooled to 173~K and evolved using NVE, |
534 |
|
NVT, and Langevin dynamic with time step of 2 fs. |
538 |
|
Nos\'e-Hoover temperature scaling scheme with thermostat of 5 ps |
539 |
|
which gives reasonable tight coupling, while the blue one from |
540 |
|
Langevin dynamics with viscosity of 0.1 poise demonstrates a faster |
541 |
< |
scaling to the desire temperature. In extremely lower friction |
542 |
< |
regime (when $ \eta \approx 0$), Langevin dynamics becomes normal |
541 |
> |
scaling to the desire temperature. When $ \eta = 0$, Langevin dynamics becomes normal |
542 |
|
NVE (see orange curve in Fig.~\ref{langevin:temperature}) which |
543 |
|
loses the temperature control ability. |
544 |
|
|
564 |
|
made of 2266 small identical beads with size of 0.3 \AA on the |
565 |
|
surface. Applying the procedure described in |
566 |
|
Sec.~\ref{introEquation:ResistanceTensorArbitraryOrigin}, we |
567 |
< |
identified the center of resistance at $(0 \AA, 0.7482 \AA, |
568 |
< |
-0.1988 \AA)$, as well as the resistance tensor, |
567 |
> |
identified the center of resistance at (0 $\rm{\AA}$, 0.7482 $\rm{\AA}$, |
568 |
> |
-0.1988 $\rm{\AA}$), as well as the resistance tensor, |
569 |
|
\[ |
570 |
|
\left( {\begin{array}{*{20}c} |
571 |
|
0.9261 & 0 & 0&0&0.08585&0.2057\\ |