diff options
| -rw-r--r-- | 106-Glu117.tikz | 147 | ||||
| -rw-r--r-- | 106-Leu113.tikz | 146 | ||||
| -rw-r--r-- | 106-Phe115.tikz | 131 | ||||
| -rw-r--r-- | 106-samples-log.tikz | 108 | ||||
| -rw-r--r-- | 106-samples.tikz | 97 | ||||
| -rw-r--r-- | brca1-density.tikz | 4760 | ||||
| -rw-r--r-- | brca1-hist-pub.jpg | bin | 0 -> 50900 bytes | |||
| -rw-r--r-- | gku689fig3-a.pdf | bin | 0 -> 11820 bytes | |||
| -rw-r--r-- | gku689fig3-b.jpg | bin | 0 -> 17660 bytes | |||
| -rw-r--r-- | gku689fig3-b.pdf | bin | 0 -> 12972 bytes | |||
| -rw-r--r-- | gku689fig3-b.svg | 516 | ||||
| -rw-r--r-- | gku689fig3-c.pdf | bin | 0 -> 12801 bytes | |||
| -rw-r--r-- | gku689fig3-key.pdf | bin | 0 -> 8777 bytes | |||
| -rw-r--r-- | helix-erbb2-pub.jpg | bin | 0 -> 203279 bytes | |||
| -rw-r--r-- | helix-erbb2.tikz | 1537 | ||||
| -rw-r--r-- | slides.bib | 37 | ||||
| -rw-r--r-- | slides.tex | 124 |
17 files changed, 7591 insertions, 12 deletions
diff --git a/106-Glu117.tikz b/106-Glu117.tikz new file mode 100644 index 0000000..15d986a --- /dev/null +++ b/106-Glu117.tikz @@ -0,0 +1,147 @@ +% Created by tikzDevice version 0.12.3.1 on 2022-12-05 17:37:37 +% !TEX encoding = UTF-8 Unicode +\begin{tikzpicture}[x=1pt,y=1pt] +\definecolor{fillColor}{RGB}{255,255,255} +\path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangle (216.81,216.81); +\begin{scope} +\path[clip] ( 37.09, 30.69) rectangle (211.31,211.31); +\definecolor{drawColor}{gray}{0.92} + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09, 69.20) -- + (211.31, 69.20); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09,120.87) -- + (211.31,120.87); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09,172.54) -- + (211.31,172.54); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 62.25, 30.69) -- + ( 62.25,211.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 95.10, 30.69) -- + ( 95.10,211.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (127.95, 30.69) -- + (127.95,211.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (160.80, 30.69) -- + (160.80,211.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (193.65, 30.69) -- + (193.65,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09, 43.36) -- + (211.31, 43.36); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09, 95.03) -- + (211.31, 95.03); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09,146.70) -- + (211.31,146.70); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09,198.38) -- + (211.31,198.38); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 45.83, 30.69) -- + ( 45.83,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 78.68, 30.69) -- + ( 78.68,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (111.53, 30.69) -- + (111.53,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (144.38, 30.69) -- + (144.38,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (177.23, 30.69) -- + (177.23,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (210.08, 30.69) -- + (210.08,211.31); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 88.24, 72.79) {Ala}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (137.91, 45.10) {Arg}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 80.16,139.29) {Asn}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 50.12,163.72) {Asp}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 82.81,171.44) {Cys}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (106.83,165.02) {Gln}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 65.12,200.69) {Glu}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (124.93, 96.50) {Gly}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (117.39,115.77) {His}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 97.75,125.67) {Ile}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (121.34, 60.27) {Leu}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (167.62, 66.24) {Lys}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (118.37,139.57) {Met}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (149.02,101.65) {Phe}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (167.81, 33.70) {Pro}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 57.64, 96.46) {Ser}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (195.96, 50.39) {Ter}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 52.48,120.17) {Thr}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (190.97, 77.98) {Trp}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (144.43, 80.64) {Tyr}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 77.74,121.77) {Val}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14, 40.33) {-1.0}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14, 92.00) {-0.8}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14,143.67) {-0.6}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14,195.35) {-0.4}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 45.83, 19.68) {-1.25}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 78.68, 19.68) {-1.00}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (111.53, 19.68) {-0.75}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (144.38, 19.68) {-0.50}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (177.23, 19.68) {-0.25}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (210.08, 19.68) {0.0}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (124.20, 7.64) {$V_1$}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,rotate= 90.00,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 13.08,121.00) {$V_2$}; +\end{scope} +\end{tikzpicture} diff --git a/106-Leu113.tikz b/106-Leu113.tikz new file mode 100644 index 0000000..a9c1817 --- /dev/null +++ b/106-Leu113.tikz @@ -0,0 +1,146 @@ +% Created by tikzDevice version 0.12.3.1 on 2022-12-06 08:20:08 +% !TEX encoding = UTF-8 Unicode +\begin{tikzpicture}[x=1pt,y=1pt] +\definecolor{fillColor}{RGB}{255,255,255} +\path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangle (216.81,216.81); +\begin{scope} +\path[clip] ( 37.09, 30.69) rectangle (211.31,211.31); +\definecolor{drawColor}{gray}{0.92} + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09, 31.56) -- + (211.31, 31.56); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09, 73.04) -- + (211.31, 73.04); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09,114.52) -- + (211.31,114.52); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09,156.00) -- + (211.31,156.00); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09,197.47) -- + (211.31,197.47); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 75.38, 30.69) -- + ( 75.38,211.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (119.55, 30.69) -- + (119.55,211.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (163.72, 30.69) -- + (163.72,211.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (207.88, 30.69) -- + (207.88,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09, 52.30) -- + (211.31, 52.30); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09, 93.78) -- + (211.31, 93.78); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09,135.26) -- + (211.31,135.26); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09,176.74) -- + (211.31,176.74); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 53.29, 30.69) -- + ( 53.29,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 97.46, 30.69) -- + ( 97.46,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (141.63, 30.69) -- + (141.63,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (185.80, 30.69) -- + (185.80,211.31); +\definecolor{drawColor}{RGB}{0,0,0} + +\path[draw=drawColor,line width= 0.6pt,line join=round,line cap=round] (189.43,103.29) -- (181.16, 87.37); + +\path[draw=drawColor,line width= 0.6pt,line join=round,line cap=round] (155.28, 62.40) -- (155.36, 72.91); + +\path[draw=drawColor,line width= 0.6pt,line join=round,line cap=round] (167.44,116.48) -- (162.03,103.75); + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (117.91, 68.06) {Ala}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (104.39,105.40) {Arg}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (192.69, 56.84) {Asn}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (175.81, 33.70) {Asp}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (142.32, 70.15) {Cys}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (156.29,104.35) {Gln}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (120.33,123.53) {Glu}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 80.47, 85.79) {Gly}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (190.85,104.80) {His}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (195.93, 91.20) {Ile}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 52.48,191.55) {Leu}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (168.48, 91.38) {Lys}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (188.98, 70.83) {Met}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (105.66,160.31) {Phe}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (138.68, 85.46) {Pro}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 92.37,120.91) {Ser}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (145.03,123.91) {Ter}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (144.56, 56.52) {Thr}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (168.54, 57.19) {Trp}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (168.10,117.99) {Tyr}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (116.02, 87.18) {Val}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14, 49.27) {-1.0}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14, 90.75) {-0.8}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14,132.23) {-0.6}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14,173.71) {-0.4}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 53.29, 19.68) {-1.5}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 97.46, 19.68) {-1.0}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (141.63, 19.68) {-0.5}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (185.80, 19.68) {0.0}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (124.20, 7.64) {$V_1$}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,rotate= 90.00,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 13.08,121.00) {$V_2$}; +\end{scope} +\end{tikzpicture} diff --git a/106-Phe115.tikz b/106-Phe115.tikz new file mode 100644 index 0000000..2cd4efc --- /dev/null +++ b/106-Phe115.tikz @@ -0,0 +1,131 @@ +% Created by tikzDevice version 0.12.3.1 on 2022-12-05 17:36:01 +% !TEX encoding = UTF-8 Unicode +\begin{tikzpicture}[x=1pt,y=1pt] +\definecolor{fillColor}{RGB}{255,255,255} +\path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangle (216.81,216.81); +\begin{scope} +\path[clip] ( 37.09, 30.69) rectangle (211.31,211.31); +\definecolor{drawColor}{gray}{0.92} + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09, 50.88) -- + (211.31, 50.88); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09, 95.95) -- + (211.31, 95.95); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09,141.02) -- + (211.31,141.02); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09,186.09) -- + (211.31,186.09); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 67.92, 30.69) -- + ( 67.92,211.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (125.60, 30.69) -- + (125.60,211.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (183.28, 30.69) -- + (183.28,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09, 73.41) -- + (211.31, 73.41); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09,118.48) -- + (211.31,118.48); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09,163.55) -- + (211.31,163.55); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09,208.62) -- + (211.31,208.62); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 39.08, 30.69) -- + ( 39.08,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 96.76, 30.69) -- + ( 96.76,211.31); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (154.44, 30.69) -- + (154.44,211.31); +\definecolor{drawColor}{RGB}{0,0,0} + +\path[draw=drawColor,line width= 0.6pt,line join=round,line cap=round] ( 72.57,204.49) -- ( 58.22,203.18); + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (163.71, 51.63) {Ala}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 85.94, 86.98) {Arg}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (152.54,147.36) {Asn}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (186.99, 92.38) {Asp}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (126.39,142.60) {Cys}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (113.25,123.72) {Gln}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (159.48,109.45) {Glu}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (136.61, 66.22) {Gly}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 47.96,173.67) {His}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (195.93,106.28) {Ile}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (126.07,110.09) {Leu}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 82.69,176.82) {Lys}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (109.67,173.72) {Met}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 83.35,200.70) {Phe}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (193.05, 42.84) {Pro}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (158.32, 82.82) {Ser}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (192.19,135.46) {Ter}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (190.09, 67.97) {Thr}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 83.59,154.40) {Trp}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 59.17,187.30) {Tyr}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (133.47, 90.76) {Val}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14, 70.38) {-0.9}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14,115.45) {-0.7}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14,160.52) {-0.5}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14,205.59) {-0.3}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 39.08, 19.68) {-1.5}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 96.76, 19.68) {-1.0}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (154.44, 19.68) {-0.5}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (124.20, 7.64) {$V_1$}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (216.81,216.81); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,rotate= 90.00,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 13.08,121.00) {$V_2$}; +\end{scope} +\end{tikzpicture} diff --git a/106-samples-log.tikz b/106-samples-log.tikz new file mode 100644 index 0000000..cd31c08 --- /dev/null +++ b/106-samples-log.tikz @@ -0,0 +1,108 @@ +% Created by tikzDevice version 0.12.3.1 on 2022-12-06 09:08:16 +% !TEX encoding = UTF-8 Unicode +\begin{tikzpicture}[x=1pt,y=1pt] +\definecolor{fillColor}{RGB}{255,255,255} +\path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangle (202.36,202.36); +\begin{scope} +\path[clip] ( 37.09, 30.69) rectangle (196.86,196.86); +\definecolor{drawColor}{gray}{0.92} + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09, 67.17) -- + (196.86, 67.17); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09,125.74) -- + (196.86,125.74); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 37.09,184.31) -- + (196.86,184.31); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 59.03, 30.69) -- + ( 59.03,196.86); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 89.13, 30.69) -- + ( 89.13,196.86); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (119.23, 30.69) -- + (119.23,196.86); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (149.33, 30.69) -- + (149.33,196.86); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (179.44, 30.69) -- + (179.44,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09, 37.88) -- + (196.86, 37.88); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09, 96.46) -- + (196.86, 96.46); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 37.09,155.03) -- + (196.86,155.03); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 43.97, 30.69) -- + ( 43.97,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 74.08, 30.69) -- + ( 74.08,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (104.18, 30.69) -- + (104.18,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (134.28, 30.69) -- + (134.28,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (164.39, 30.69) -- + (164.39,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (194.49, 30.69) -- + (194.49,196.86); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 54.98, 34.45) {$G_3$}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (178.97, 73.13) {$G_0$}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 53.53,108.86) {$G_2$}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (142.27,186.23) {$G_1$}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14, 34.85) {-0.5}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14, 93.43) {0.0}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 32.14,152.00) {0.5}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 43.97, 19.68) {-0.6}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 74.08, 19.68) {-0.4}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (104.18, 19.68) {-0.2}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (134.28, 19.68) {0.0}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (164.39, 19.68) {0.2}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (194.49, 19.68) {0.4}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (116.97, 7.64) {$V_1$}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,rotate= 90.00,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 13.08,113.77) {$V_2$}; +\end{scope} +\end{tikzpicture} diff --git a/106-samples.tikz b/106-samples.tikz new file mode 100644 index 0000000..dbe0c3e --- /dev/null +++ b/106-samples.tikz @@ -0,0 +1,97 @@ +% Created by tikzDevice version 0.12.3.1 on 2022-12-06 08:50:45 +% !TEX encoding = UTF-8 Unicode +\begin{tikzpicture}[x=1pt,y=1pt] +\definecolor{fillColor}{RGB}{255,255,255} +\path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangle (202.36,202.36); +\begin{scope} +\path[clip] ( 30.25, 30.69) rectangle (196.86,196.86); +\definecolor{drawColor}{gray}{0.92} + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 30.25, 57.71) -- + (196.86, 57.71); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 30.25,109.53) -- + (196.86,109.53); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 30.25,161.36) -- + (196.86,161.36); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 69.01, 30.69) -- + ( 69.01,196.86); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (119.93, 30.69) -- + (119.93,196.86); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (170.85, 30.69) -- + (170.85,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 30.25, 31.79) -- + (196.86, 31.79); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 30.25, 83.62) -- + (196.86, 83.62); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 30.25,135.45) -- + (196.86,135.45); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 30.25,187.28) -- + (196.86,187.28); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 43.55, 30.69) -- + ( 43.55,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 94.47, 30.69) -- + ( 94.47,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (145.39, 30.69) -- + (145.39,196.86); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (196.31, 30.69) -- + (196.31,196.86); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 48.76,185.57) {$G_3$}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (178.35, 34.47) {$G_0$}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 51.91,136.77) {$G_2$}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (147.80,107.20) {$G_1$}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 25.30, 28.76) {-4}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 25.30, 80.59) {-2}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 25.30,132.42) {0}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 25.30,184.24) {2}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 43.55, 19.68) {-4}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 94.47, 19.68) {-3}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (145.39, 19.68) {-2}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (196.31, 19.68) {-1}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (113.55, 7.64) {$V_1$}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,rotate= 90.00,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at ( 13.08,113.77) {$V_2$}; +\end{scope} +\end{tikzpicture} diff --git a/brca1-density.tikz b/brca1-density.tikz new file mode 100644 index 0000000..3e538fc --- /dev/null +++ b/brca1-density.tikz @@ -0,0 +1,4760 @@ +% Created by tikzDevice version 0.12.3.1 on 2022-12-07 11:15:58 +% !TEX encoding = UTF-8 Unicode +\begin{tikzpicture}[x=1pt,y=1pt] +\definecolor{fillColor}{RGB}{255,255,255} +\path[use as bounding box,fill=fillColor,fill opacity=0.00] (0,0) rectangle (292.69,180.67); +\begin{scope} +\path[clip] ( 27.31, 30.69) rectangle (197.05,175.17); +\definecolor{drawColor}{gray}{0.92} + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 27.31, 52.91) -- + (197.05, 52.91); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 27.31, 84.22) -- + (197.05, 84.22); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 27.31,115.53) -- + (197.05,115.53); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 27.31,146.84) -- + (197.05,146.84); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 51.41, 30.69) -- + ( 51.41,175.17); + +\path[draw=drawColor,line width= 0.3pt,line join=round] ( 92.54, 30.69) -- + ( 92.54,175.17); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (133.67, 30.69) -- + (133.67,175.17); + +\path[draw=drawColor,line width= 0.3pt,line join=round] (174.80, 30.69) -- + (174.80,175.17); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 27.31, 37.25) -- + (197.05, 37.25); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 27.31, 68.56) -- + (197.05, 68.56); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 27.31, 99.88) -- + (197.05, 99.88); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 27.31,131.19) -- + (197.05,131.19); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 27.31,162.50) -- + (197.05,162.50); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 30.84, 30.69) -- + ( 30.84,175.17); + +\path[draw=drawColor,line width= 0.6pt,line join=round] ( 71.97, 30.69) -- + ( 71.97,175.17); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (113.11, 30.69) -- + (113.11,175.17); + +\path[draw=drawColor,line width= 0.6pt,line join=round] (154.24, 30.69) -- + (154.24,175.17); + 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rectangle (168.64, 89.09); +\definecolor{fillColor}{RGB}{254,224,140} + +\path[fill=fillColor] ( 40.99, 80.87) rectangle ( 47.71, 89.09); +\definecolor{fillColor}{RGB}{255,243,171} + +\path[fill=fillColor] ( 61.15, 80.87) rectangle ( 67.86, 89.09); +\definecolor{fillColor}{RGB}{255,208,129} + +\path[fill=fillColor] ( 34.27, 80.87) rectangle ( 40.99, 89.09); +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{gray}{0.30} + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54, 32.59) {W}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54, 40.82) {Y}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54, 49.04) {F}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54, 57.27) {M}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54, 65.50) {L}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54, 73.72) {I}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54, 81.95) {V}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54, 90.17) {A}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54, 98.40) {G}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54,106.63) {C}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54,114.85) {P}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54,123.08) {T}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54,131.31) {S}; + +\node[text=drawColor,anchor=base east,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 14.54,139.53) {Q}; + 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+\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at ( 91.38, 19.68) {10}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (124.97, 19.68) {15}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (158.56, 19.68) {20}; + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 0.88] at (192.15, 19.68) {25}; +\end{scope} +\begin{scope} +\path[clip] ( 0.00, 0.00) rectangle (202.36,202.36); +\definecolor{drawColor}{RGB}{0,0,0} + +\node[text=drawColor,anchor=base,inner sep=0pt, outer sep=0pt, scale= 1.10] at (108.17, 7.64) {pos}; +\end{scope} +\end{tikzpicture} @@ -43,3 +43,40 @@ volume={31}, year={2018} } +@article{Findlay2018, + doi = {10.1038/s41586-018-0461-z}, + url = {https://doi.org/10.1038/s41586-018-0461-z}, + year = {2018}, + month = sep, + publisher = {Springer Science and Business Media {LLC}}, + volume = {562}, + number = {7726}, + pages = {217--222}, + author = {Gregory M. Findlay and Riza M. Daza and Beth Martin and Melissa D. Zhang and Anh P. Leith and Molly Gasperini and Joseph D. Janizek and Xingfan Huang and Lea M. Starita and Jay Shendure}, + title = {Accurate classification of {BRCA}1 variants with saturation genome editing}, + journal = {Nature} +} +@article{Gajula2014, + doi = {10.1093/nar/gku689}, + url = {https://doi.org/10.1093/nar/gku689}, + year = {2014}, + month = jul, + publisher = {Oxford University Press ({OUP})}, + volume = {42}, + number = {15}, + pages = {9964--9975}, + author = {Kiran S. Gajula and Peter J. Huwe and Charlie Y. Mo and Daniel J. Crawford and James T. Stivers and Ravi Radhakrishnan and Rahul M. Kohli}, + title = {High-throughput mutagenesis reveals functional determinants for {DNA} targeting by activation-induced deaminase}, + journal = {Nucleic Acids Research} +} +@article{Elazar2016, + doi = {10.7554/elife.12125}, + url = {https://doi.org/10.7554/elife.12125}, + year = {2016}, + month = jan, + publisher = {{eLife} Sciences Publications, Ltd}, + volume = {5}, + author = {Assaf Elazar and Jonathan Weinstein and Ido Biran and Yearit Fridman and Eitan Bibi and Sarel Jacob Fleishman}, + title = {Mutational scanning reveals the determinants of protein insertion and association energetics in the plasma membrane}, + journal = {{eLife}} +} @@ -29,6 +29,46 @@ \addbibresource{slides.bib} \AtBeginBibliography{\small} +%% Tikz relative positioning https://tex.stackexchange.com/questions/89588/positioning-relative-to-page-in-tikz +\makeatletter +\def +\parsecomma#1,#2 +\endparsecomma{\def + \page@x{#1} + \def + \page@y{#2}} +\tikzdeclarecoordinatesystem{page}{\parsecomma#1 + \endparsecomma + \pgfpointanchor{current page}{north east} + \pgf@xc= + \pgf@x + \pgf@yc= + \pgf@y + \pgfpointanchor{current page}{south west} + \pgf@xb= + \pgf@x + \pgf@yb= + \pgf@y + \pgfmathparse{(\pgf@xc- + \pgf@xb)/2.* + \page@x+( + \pgf@xc+ + \pgf@xb)/2.} + \expandafter + \pgf@x + \expandafter= + \pgfmathresult pt + \pgfmathparse{(\pgf@yc- + \pgf@yb)/2.* + \page@y+( + \pgf@yc+ + \pgf@yb)/2.} + \expandafter + \pgf@y + \expandafter= + \pgfmathresult pt} +\makeatother + \usepackage{acronym} \usepackage{xspace} \renewcommand*{\acsfont}[1]{\textsc{#1}} @@ -59,7 +99,7 @@ \begin{frame}{Basics} \begin{definition}[Compositional data] Data \(X \in \R^{n \times d}\) is compositional if rows \(\bx_i\) are in the simplex - \[S^d=\{\,\bx \in \R^d : \forall j,x_j > 0 ; \sum_{j=1}^d x_j = \kappa\,\} \] + \[S^d=\{\,\bx \in \R^d : \forall j,x_j > 0 ; \sum_{j=1}^d x_j = \kappa\,\} \] for constant \(\kappa > 0\). \end{definition} Information is therefore given only by the ratios of components and any composition can be normalised to the standard simplex where \(\kappa = 1\) (c.f., dividing by library size). \end{frame} @@ -67,10 +107,10 @@ \begin{frame}{Isomorphisms to Euclidean vector spaces} The simplex forms a \(d-1\) dimensional Euclidean vector space \footfullcite{Aitchison1982}: \begin{definition}[\ac{alr}] - \[\alr(\bx)_i = \log \frac{x_i}{x_0} \] + \[\alr(\bx)_i = \log \frac{x_i}{x_0} \] \end{definition} \begin{definition}[\ac{clr}] - \[\clr(\bx)_i = \log \frac{x_i}{\left(\prod_{j=1}^d x_j\right)^{\frac 1 d}} \] + \[\clr(\bx)_i = \log \frac{x_i}{\left(\prod_{j=1}^d x_j\right)^{\frac 1 d}} \] \end{definition} \end{frame} @@ -108,7 +148,7 @@ \begin{frame}{Traditional \ac{pca}} Given \(\X\in \R^{n\times d}\) minimise loss - \[\ell_{\textsc{pca}} \triangleq {\lVert \X - \V\A \rVert}^2_{\textrm{F}} \] + \[\ell_{\textsc{pca}} \triangleq {\lVert \X - \V\A \rVert}^2_{\textrm{F}} \] s.t. \(\V \in \R^{n \times k}\), \(\A \in \R^{k \times d}\), and \(\V^\intercal \V = \I\). @@ -121,39 +161,99 @@ \ac{pca}} \begin{definition}{Bregman Divergence} Let \(\varphi \colon \R^d \to \R\) be a smooth ($C^1$) convex function on convex set \(\Omega\). The Bregman divergence \(D_\varphi\) with generator \(\varphi\) is - \[ D_\varphi\left(\bu\,\Vert\,\bv\right) \triangleq \varphi(\bu)-\varphi(\bv)-\langle \nabla\varphi(\bv),\bu-\bv\rangle. \] + \[ D_\varphi\left(\bu\,\Vert\,\bv\right) \triangleq \varphi(\bu)-\varphi(\bv)-\langle \nabla\varphi(\bv),\bu-\bv\rangle. \] \end{definition} Denote the convex conjugate of \(\varphi\) as \(\varphi^*(\bu) \triangleq \sup_\bv\left\{\langle \bu,\bv\rangle-\varphi(\bv)\right\}\). The exponential family \ac{pca} is then given by minimising loss - \[\ell_{\varphi} \triangleq D_\varphi\left(\X\,\Vert\,\nabla\varphi^*\left(\V\A\right)\right) \] + \[\ell_{\varphi} \triangleq D_\varphi\left(\X\,\Vert\,\nabla\varphi^*\left(\V\A\right)\right) \] under the same constraints as previously, approximating \(\X \sim \nabla\varphi^*\left(\V\A\right)\). \end{frame} \begin{frame}{Aitchison's simplex and exponential \ac{pca}} Aitchison's log-transformation is a dual affine coordinate space made explicit with - \[\varphi(z) = z\log(z) - z \Leftrightarrow \varphi^*(z) = e^z, \] + \[\varphi(z) = z\log(z) - z \Leftrightarrow \varphi^*(z) = e^z, \] but what about normalisation? Consider \ac{alr}: - \[\alr(\bx) \triangleq x_0 \sum_{i=1}^d\varphi\left(\frac{x_i}{x_0}\right) \Leftrightarrow \alr^*(\bx) = x_0\sum_{i=1}^d e^{\frac{x_i}{x_0}} \] + \[\alr(\bx) \triangleq x_0 \sum_{i=1}^d\varphi\left(\frac{x_i}{x_0}\right) \Leftrightarrow \alr^*(\bx) = x_0\sum_{i=1}^d e^{\frac{x_i}{x_0}} \] \end{frame} - \begin{frame} + \begin{frame}{Scaled Bregman} \begin{theorem}{Scaled Bregman \footfullcite{nock2016scaled}} Let \(\varphi \colon \mathcal{X} \to \R\) be convex differentiable and \(g \colon \mathcal{X} \to \R\) be differentiable. Then - \[g(\bx)\cdot D_\varphi\left(\frac{\bx}{g(\bx)}\,\middle\Vert\,\frac{\by}{g(\by)}\right) = D_{\breve{\varphi}}\left(\bx\,\middle\Vert\,\by\right) \] + \[g(\bx)\cdot D_\varphi\left(\frac{\bx}{g(\bx)}\,\middle\Vert\,\frac{\by}{g(\by)}\right) = D_{\breve{\varphi}}\left(\bx\,\middle\Vert\,\by\right) \] where - \[\breve{\varphi} \triangleq g(\bx) \cdot \varphi\left(\frac{x}{g(\bx)}\right) \] + \[\breve{\varphi} \triangleq g(\bx) \cdot \varphi\left(\frac{x}{g(\bx)}\right) \] \end{theorem} Avalos et al. \footfullcite{avalos2018representation} - \ considered a relaxed form for \ac{clr} recently. + \ considered a relaxed form for + \ac{clr} recently. + \end{frame} + + \begin{frame}{Activation-Induced Deaminase + \footfullcite{Gajula2014}} + \begin{tikzpicture}[remember picture,overlay] + \node[scale=0.85] at (page cs:0,0.08){\input{106-samples.tikz}}; + \end{tikzpicture} + \end{frame} + + \begin{frame}{Activation-Induced Deaminase} + \begin{tikzpicture} + \node at (page cs:-0.5,0.08){\input{106-Leu113.tikz}}; + \node at (page cs:0.5,0.5){\includegraphics{gku689fig3-a.pdf}}; + \node at (page cs:0.5,-0.25){\includegraphics{gku689fig3-key.pdf}}; + \end{tikzpicture} + \end{frame} + + \begin{frame}{Activation-Induced Deaminase} + \begin{tikzpicture} + \node at (page cs:-0.5,0.08){\input{106-Phe115.tikz}}; + \node at (page cs:0.5,0.5){\includegraphics{gku689fig3-b.pdf}}; + \node at (page cs:0.5,-0.25){\includegraphics{gku689fig3-key.pdf}}; + \end{tikzpicture} + \end{frame} + + \begin{frame}{Activation-Induced Deaminase} + \begin{tikzpicture} + \node at (page cs:-0.5,0.08){\input{106-Glu117.tikz}}; + \node at (page cs:0.5,0.5){\includegraphics{gku689fig3-c.pdf}}; + \node at (page cs:0.5,-0.25){\includegraphics{gku689fig3-key.pdf}}; + \end{tikzpicture} + \end{frame} + + \begin{frame}{Activation-Induced Deaminase} + \begin{tikzpicture} + \node at (page cs:-0.7,0.9){\textbf{Bregman}}; + \node at (page cs:0.3,0.9){\textbf{+1-log + \ac{pca}}}; + \node[scale=0.9] at (page cs:-0.5,0.08){\input{106-samples.tikz}}; + \node[scale=0.9] at (page cs:0.5,0.08){\input{106-samples-log.tikz}}; + \end{tikzpicture} + \end{frame} + + \begin{frame}{\textsc{Erbb2} + \footfullcite{Elazar2016}} + \begin{tikzpicture} + \node[scale=0.8] at (page cs: -0.5,0){\input{helix-erbb2.tikz}}; + \node at (page cs: 0.5,0.07){\includegraphics[width=0.4 + \textwidth]{helix-erbb2-pub.jpg}}; + \end{tikzpicture} + \end{frame} + + \begin{frame}{\textsc{Brca1} + \footfullcite{Findlay2018}} + \begin{tikzpicture}[remember picture,overlay] + \node[inner sep=0pt] at (5,0.5){\input{brca1-density.tikz}}; + + \node[inner sep=0pt] at (11,1.25){\includegraphics{brca1-hist-pub.jpg}}; + \end{tikzpicture} \end{frame} \end{document} |
