X-Git-Url: https://git.donarmstrong.com/?a=blobdiff_plain;f=kinetic_formalism_competition.Rnw;h=2ceb8116b3df87f6f9adfed6c26dccc4e0671654;hb=HEAD;hp=e2a375c65b64ebde0bae514aa9d912f9c965f49d;hpb=ac8372fb657e6caba5ce032b06ab55d89fbddac6;p=ool%2Flipid_simulation_formalism.git diff --git a/kinetic_formalism_competition.Rnw b/kinetic_formalism_competition.Rnw index e2a375c..2ceb811 100644 --- a/kinetic_formalism_competition.Rnw +++ b/kinetic_formalism_competition.Rnw @@ -22,11 +22,12 @@ \usepackage{array} \usepackage{dcolumn} \usepackage{booktabs} -\usepackage[noblocks]{authblk} \usepackage[backend=biber,natbib=true,hyperref=true,citestyle=numeric-comp,style=nature,autocite=inline]{biblatex} \addbibresource{references.bib} \usepackage[hyperfigures,bookmarks,colorlinks,citecolor=black,filecolor=black,linkcolor=black,urlcolor=black]{hyperref} +\usepackage[noblocks,auth-sc]{authblk} \usepackage[capitalise]{cleveref} +\usepackage[markifdraft,raisemark=0.01\paperheight,draft]{gitinfo2} %\usepackage[sectionbib,sort&compress,numbers]{natbib} % \usepackage[nomargin,inline,draft]{fixme} %\usepackage[x11names,svgnames]{xcolor} @@ -51,11 +52,15 @@ \clubpenalty = 10000 \widowpenalty = 10000 \pagestyle{fancy} -\author{} -\title{Supplemental Material} -\date{} -% rubber: module bibtex -% rubber: module natbib +\title{Kinetic formalism for R-GARD Simulations} +\author[1,2]{Don Armstrong} +%\ead{don@donarmstrong.com} +\author[2]{Raphael Zidovetzki} +%\ead{raphael.zidovetzki@ucr.edu} +\affil[1]{Carl R. Woese Institute for Genomic Biology, University of Illinois at Urbana-Champaign, Urbana, IL, USA} +\affil[2]{Cell Biology and Neuroscience, University of California at Riverside, Riverside, CA, USA} +\affil[ ]{don@donarmstrong.com, raphael.zidovetzki@ucr.edu} +%\date{} \onehalfspacing \begin{document} \maketitle @@ -160,7 +165,7 @@ available, these were taken from literature (\cref{tab:kinetic_parameters_lipid_ Type & $k_\mathrm{f}$ $\left(\frac{\mathrm{m}}{\mathrm{s}}\right)$ & $k'_\mathrm{f}$ $\left(\frac{1}{\mathrm{M} \mathrm{s}}\right)$ & $k_\mathrm{b}$ $\left(\mathrm{s}^{-1}\right)$ - & Area $\left({Å}^2\right)$ & Charge & $\mathrm{CF}1$ & Curvature \\ + & Area $\left(\mathrm{Å}^2\right)$ & Charge & $\mathrm{CF}1$ & Curvature \\ \midrule PC & $\Sexpr{kf[1]}$ & $3.7 \times 10^6$ & $2 \times 10^{-5}$ & 63 & 0 & 2 & 0.8 \\ PS & $\Sexpr{kf[2]}$ & $3.7 \times 10^6$ & $1.25\times 10^{-5}$ & 54 & -1 & 0 & 1 \\ @@ -213,7 +218,7 @@ exchange of the fluorescent label \ac{C6NBD} attached to different lipid species. Although the values of $k_\mathrm{b}$ are different for the labeled and unlabeled lipids, we assume that the ratios of the kinetics constants for the lipid types are the same. Furthermore we assume that -PG behaves similarly to \ac{PS}. Thus, we can determine the $k_\mathrm{b}$ of \ac{PE} and +\ac{PG} behaves similarly to \ac{PS}. Thus, we can determine the $k_\mathrm{b}$ of \ac{PE} and \ac{PS} from the already known $k_\mathrm{b}$ of \ac{PC}. For \ac{C6NBD} labeled \ac{PC}, \citet{Nichols1982:ret_amphiphile_transfer} obtained a $k_\mathrm{b}$ of $0.89$~$\mathrm{min}^{-1}$, \ac{PE} of $0.45$~$\mathrm{min}^{-1}$ and PG of @@ -254,16 +259,16 @@ minutes, leading to a $k_{\mathrm{b}_\mathrm{CHOL}} = \frac{\log 2}{41\times Different lipids have different headgroup surface areas, which contributes to $\left[S_\mathrm{vesicle}\right]$. \citet{Smaby1997:pc_area_with_chol} -measured the surface area of POPC with a Langmuir film balance, and +measured the surface area of \ac{POPC} with a Langmuir film balance, and found it to be 63~Å$^2$ at $30$~$\frac{\mathrm{mN}}{\mathrm{m}}$. Molecular dynamic simulations found an area of 54 Å$^2$ for -DPPS\citep{Cascales1996:mds_dpps_area,Pandit2002:mds_dpps}, which is +\ac{DPPS}\citep{Cascales1996:mds_dpps_area,Pandit2002:mds_dpps}, which is in agreement with the experimental value of 56~Å$^2$ found using a Langmuir balance by \citet{Demel1987:ps_area}. \citet{Shaikh2002:pe_phase_sm_area} measured the area of \ac{SM} using a Langmuir film balance, and found it to be 61~Å$^2$. Using $^2$H NMR, \citet{Thurmond1991:area_of_pc_pe_2hnmr} found the area of -DPPE-d$_{62}$ to be 55.4 Å$^2$. \citet{Robinson1995:mds_chol_area} +\ac{DPPE}-d$_{62}$ to be 55.4 Å$^2$. \citet{Robinson1995:mds_chol_area} found an area for \ac{CHOL} of 38~Å$^2$ using molecular dynamic simulations. @@ -1094,11 +1099,11 @@ The most common $\left<\log cu_\mathrm{vesicle}\right>$ is around $-0.013$, which leads to a range of $\Delta \Delta G^\ddagger$ from $\Sexpr{format(digits=3,to.kcal(7^(1-1/(20*(-0.013-log(0.8))^2+1))))} \frac{\mathrm{kcal}}{\mathrm{mol}}$ for monomers with curvature 0.8 to +to $0\frac{\mathrm{kcal}}{\mathrm{mol}}$ for monomers with curvature +near 1 $\Sexpr{format(digits=3,to.kcal(7^(1-1/(20*(-0.013-log(1.3))^2+1))))}\frac{\mathrm{kcal}}{\mathrm{mol}}$ -for monomers with curvature 1.3 to -$0\frac{\mathrm{kcal}}{\mathrm{mol}}$ for monomers with curvature near -1. The full range of values possible for $cu_\mathrm{b}$ are shown in -\cref{fig:cub_graph}. +for monomers with curvature 1.3. The full range of values possible for +$cu_\mathrm{b}$ are shown in \cref{fig:cub_graph}. % \RZ{What about the opposite curvatures that actually do fit to each % other?} @@ -1188,7 +1193,7 @@ to $0\frac{\mathrm{kcal}}{\mathrm{mol}}$ for monomers with length near 18 to $\Sexpr{format(digits=3,to.kcal(3.2^abs(24-17.75)))}\frac{\mathrm{kcal}}{\mathrm{mol}}$ for monomers with length 24. The full range of possible values of -$l_\mathrm{b}$ are shown in \cref{fig:lb_graph} +$l_\mathrm{b}$ are shown in \cref{fig:lb_graph}. % (for methods? From McLean84LIB: The activation free energies and free % energies of transfer from self-micelles to water increase by 2.2 and @@ -1569,6 +1574,11 @@ to produce later output. % silhouette~\citep{Rousseeuw1987:silhouettes} is chosen as the ideal % clustering~\citep{Shenhav2005:pgard}. +\section*{Formalism} + +The most current revision of this formalism is available at +\url{https://git.donarmstrong.com/ool/lipid_simulation_formalism.git}. +This document is \gitMarkPref • \gitMark. %\bibliographystyle{unsrtnat} %\bibliography{references.bib}