From 6997196e38810701f838fc9a642f2776c4ccebe7 Mon Sep 17 00:00:00 2001 From: Lorenzo Zolfanelli Date: Mon, 12 Oct 2020 16:30:18 +0200 Subject: [PATCH] capitans correzioni cap 3 bis --- chapters/3-methods.tex | 169 +- images/fc_timetrace.pdf | Bin 0 -> 181127 bytes images/three_beads_fbON_bound.pdf | Bin 26503 -> 23446 bytes images/three_beads_fbON_unbound.pdf | Bin 25227 -> 23223 bytes images/three_beads_tension.pdf | Bin 24875 -> 22838 bytes images/wfvshilo.png | Bin 0 -> 192702 bytes images_src/fc_timetrace.svg | 3118 +++++++++++++++++++++++ images_src/three_beads_fbON_bound.svg | 85 +- images_src/three_beads_fbON_unbound.svg | 156 +- images_src/three_beads_tension.svg | 101 +- 10 files changed, 3469 insertions(+), 160 deletions(-) create mode 100644 images/fc_timetrace.pdf create mode 100644 images/wfvshilo.png create mode 100644 images_src/fc_timetrace.svg diff --git a/chapters/3-methods.tex b/chapters/3-methods.tex index e067f7e..6513c20 100644 --- a/chapters/3-methods.tex +++ b/chapters/3-methods.tex @@ -420,22 +420,22 @@ come mostrato in figura \ref{fig:trap_ccurves}. Un esperimento di \textit{force-clamp} consiste nello studiare la dinamica della formazione e della rottura del legame tra due -molecole quando queste sono sottoposte a una determinata +molecole quando queste sono sottoposte a una determinata forza di trazione costante. Per poter applicare una tale forza tramite una microsfera catturata in una pinzetta ottica è stato implementato un sistema di retroazione tra la lettura della posizione relativa della microsfera nella trappola (dai QPD) e la posizione della trappola nel campione (tramite -gli AOM). +gli AOD). Scelto un valore per la forza (F) si può ricavare, conoscendo il valore di $k$, il corrispondente spostamento $\Delta x$ rispetto al centro della trappola. Per ottenere un valore forza applicata $F$ è necessario porsi nella condizione in cui la microsfera si è spostata di $-k/F$ dalla -posizione di equilibrio. +posizione di equilibrio. Se definiamo questa posizione come $x_{SET}$ e avviamo un ciclo di retroazione in cui -comandandiamo agli AOM uno spostamento della trappola proporzionale +comandandiamo agli AOD uno spostamento della trappola proporzionale alla differenza tra la posizione, rilevata dai QPD, della microsfera e $x_{SET}$, possono verificarsi i due seguenti casi: @@ -474,21 +474,25 @@ legame analizzato. Per realizzare sperimentalmente questa misura occorre un sistema elettronico in grado di campionare il segnale prodotto dai QPD e -modificare di conseguenza la frequenza del segnale di modulazione invato -agli AOM. -Per garantire un funzionamento stabile e la possibilità -di rilevare eventi di durata confrontabile con il tempo di rilassamento -diffusivo si utilizza una scheda elettronica programmabile dedicata, -di tipo FPGA (\textit{Field Programmable Gate Array}), per controllare -il ciclo di retroazione. -In questo modo è possibile leggere i valori di posizione e aggiustare -il segnale generato per gli AOM a una frequenza di \SI{200}{\kHz}, pari -al doppio della larghezza di banda dei diodi usati nei QPD. - -La scheda FPGA (National Instruments) è stata programmata con un codice -progettato in ambiente LabVIEW, e comunica con un apposito programma -in esecuzione sul PC di controllo dell'esperimento per configurare i -parametri sperimentali e memorizzare i tracciati (\texttt{Force-Clamp Control}). +modificare di conseguenza la frequenza del segnale di modulazione +invato agli AOD. Per garantire un funzionamento stabile e la +possibilità di rilevare eventi di durata confrontabile con il tempo di +rilassamento diffusivo si utilizza una scheda elettronica +programmabile dedicata, di tipo FPGA (\textit{Field Programmable Gate + Array}), per controllare il ciclo di retroazione. In questo modo è +possibile leggere i valori di posizione e aggiustare il segnale +generato per gli AOD a una frequenza di \SI{200}{\kHz}, pari al doppio +della larghezza di banda dei diodi usati nei QPD. + +Per permettere alla scheda FPGA (National Instruments) di dialogare +con gli AOD e i QPD, così come per poter registrare sul computer i +tracciati della posizione delle trappole, ho progettato i circuiti +logici di funzionamento della scheda grazie all'ambiente di sviluppo +LabVIEW FPGA (maggiori dettagli in appendice \ref{app:electronics}). +La scheda FPGA così programmata comunica con il PC di controllo +dell'esperimento dove è in esecuzione un apposito programma LabVIEW, +sviluppato per consentire all'utente di modificare i parametri di +funzionamento dell'esperimento e registrare le tracce temporali. In figura \ref{fig:forceclamp-feedback} è mostrato uno schema semplificato del ciclo di retroazione implementato per ciascuna @@ -548,23 +552,52 @@ applicata sul legame è pari a quella selezionata.} \end{figure} In figura \ref{fig:three_beads} è rappresentato lo schema realizzato. -In mancanza di legame, il sistema continuerebbe a muovere le trappole -indefinitamente fino a raggiungere regioni dove l'efficienza -di intrappolamento non è più sufficiente oppure a esaurire l'intervallo -di deflessioni ottenibili con gli AOM. -Per evitare questo si decide di limitare gli spostamenti massimi -delle trappole in un intervallo di qualche \si{nm}, implementando -un sistema di ``riflessione'': quando il fascio che sta tentando di -applicare la forza selezionata $\Delta F$ si è spostato di un determinato -cammino massimo, si scambia il ruolo delle due trappole e si applica -un incremento di forza $-\Delta F$ sulla trappola che prima -era passiva. In questo modo la tensione applicata sul sistema meccanico -è uguale in modulo e opposta in verso. Inoltre il sistema può continuare -ad acquisire dati autonomamente per lunghi intervalli di tempo senza -la necessità di interventi manuali. +Un doppio sistema di feedback, per ciascuna delle due trappole, muove +i fasci di intrappolamento in modo da inseguire una posizione target +per ciascuna microsfera. La forza viene applicata impostando, per la +posizione target di una delle due microsfere, uno scostamento ($\delta +x$) rispetto alla posizione di equilibrio tra costante elastica della +trappola e tensione del filamento ($\Delta x$). Fino a che non viene +stabilito un legame con una molecola immobilizzata sulla sfera +piedistallo, il sistema continua a muovere in una direzione e +simultaneamente le due trappole (verso destra nell’esempio mostrato in +figura): la trappola di destra si muove, per compensare lo scostamento +tra microsfera e posizione target, verso destra, e, immediatamente, la +trappola di sinistra la segue per compensare l’eccesso di tensione sul +filamento. Quando un legame viene finalmente stabilito con la proteina +immobilizzata, sarà possibile per mantenere il sistema in equilibrio +con le due microsfere nelle posizioni target: in queste condizione, +sul legame tra le due proteine, viene applicata una forza +proporzionale a $\delta x$ secondo la costante elastica della trappola. Per +evitare che, quando non vi è alcun legame con proteine immobilizzate, +le due trappole si spostino troppo rispetto alla loro posizione +ottimale di funzionamento, si decide di limitare gli spostamenti +massimi di esse in un intervallo di qualche \si{nm}, implementando un +sistema di ``riflessione'': quando il fascio che sta tentando di +applicare la forza selezionata $\Delta F$ si è spostato di un +determinato cammino massimo, si scambia il ruolo delle due trappole e +si applica un incremento di forza $-\Delta F$ sulla trappola che prima +era passiva. In questo modo la tensione applicata sul sistema +meccanico è uguale in modulo e opposta in verso. Inoltre il sistema +può continuare ad acquisire dati autonomamente per lunghi intervalli +di tempo senza la necessità di interventi manuali. In figura +\ref{fig:timeser} è mostrato un esempio di tracce temporali per +l'andamento della forza e della posizione trappole che è possibile +ottenere per un esperimento di questo tipo. Si osservi l'andamento +oscillatorio periodico della posizione, corrispondente allo stato +``non legato'' e l'improvvisa interruzione degli spostamenti in +corrispondenza della formazione del legame. + +\begin{figure} + \centering \includegraphics[width=0.7\linewidth]{fc_timetrace.pdf} + \caption{Esempio di andamento temporale dei valori acquisiti di + forza e posizione per un esperimento di spettroscopia force-clamp + \cite{Capitanio2012}.} + \label{fig:timeser} +\end{figure} Uno schema di questo tipo è già stato utilizzato per lo studio -dell'interazione di motori molecolari (come la \textit{miosina}) e +dell'interazione di motori molecolari (come la \textit{miosina}) e filamenti di \textit{actina}. Nello studio delle giunzioni cellulari sono ipotizzabili numerosi esperimenti in cui uno o più fattori appartenenti ai complessi @@ -594,26 +627,35 @@ finestre riportate in tabella \ref{tab:fluo_lambda}: $\lambda$ eccitazione [\si{nm}] & $\lambda$ emissione [\si{nm}] & Potenza massima [\si{mW}] \\ \midrule \num{488} & \numrange{502.5}{518.5} & \num{1.6}\\ - \num{532} & \numrange{550.0}{613.0} & \num{1.1}\\ + \num{532} & \numrange{550.0}{613.0} & \num{5.5}\\ \num{635} & \numrange{663.0}{700.0} & \num{2.4} \\ \bottomrule \end{tabular} - \caption{Lunghezze d'onda di eccitazione ed emissione compatibili con l'apparato sperimentale, e potenza - elettromagnetica totale immessa nel campo visivo.} + \caption{Lunghezze d'onda di eccitazione ed emissione compatibili + con l'apparato sperimentale, e potenza elettromagnetica totale + immessa nel campo visivo. I valori di potenza massima riportata + sono la potenza ottica misurata, attraverso un \textit{power + meter}, all'uscita dell'obiettivo, quando le sorgenti laser + sono impostate per erogare la massima potenza.} \label{tab:fluo_lambda} \end{table} -Per ciascuna lunghezza d'onda è possibile ottenere una potenza totale nel campo -visivo raccolto dal sensore EMCCD $\SI{1}{mW}$. -Per confrontare le proprietà di fluorofori a diverse lunghezze d'onda scegliamo -di impostare l'emissione di tutte le sorgenti laser in modo da avere sempre -$\SI{1}{\mW}$ di potenza ottica sul campione. -Per rendere uniforme la distribuzione di potenza nel campo visivo si tronca il -fascio gaussiano prima di focalizzarlo sull'obiettivo a un raggio pari circa -a 1/15 di quello iniziale (corrispondente alle dimensione del -campo visivo sul campione). -In questo modo le deviazione massima d'intensità tra i bordi e il centro -della regione illuminata è ridotta al \SI{17}{\percent} (figura \ref{fig:flatfield}). +Per ciascuna lunghezza d'onda è possibile ottenere una potenza totale +nel campo visivo raccolto dal sensore EMCCD $\SI{1}{mW}$. Per +confrontare le proprietà di fluorofori a diverse lunghezze d'onda +scegliamo di impostare l'emissione di tutte le sorgenti laser in modo +da avere sempre $\SI{1}{\mW}$ di potenza ottica sul campione. Per +rendere uniforme la distribuzione di potenza nel campo visivo si +tronca il fascio gaussiano prima di focalizzarlo sull'obiettivo a un +raggio pari circa a 1/4 di quello iniziale (corrispondente alle +dimensione del campo visivo sul campione). Infatti, il diametro +misurato prima di focalizzare il fascio sull'obiettivo, di circa +\SI{2}{\cm}, corrisponde a uno spot sul campione di diametro +\SI{130}{\um}, circa quattro volte quello dell'area sul campione +corrispondente alla superficie del sensore della telecamera. In +questo modo le deviazione massima d'intensità tra i bordi e il centro +della regione illuminata è ridotta al \SI{17}{\percent} (figura +\ref{fig:flatfield}). \begin{figure}[ht] \centering @@ -761,11 +803,27 @@ laser usato per la fluorescenza, potrebbe diventare significativo l'effetto dell di radiazione del fascio obliquo sulle microsfere intrappolate, variando la dinamica delle loro fluttuazioni e quindi influenzando la corretta esecuzione del \textit{force-clamp}. +Tuttavia, lo schema HILO ha il grande vantaggio di non richiedere una +tunabilità fine del laser di eccitazione necessaria per eccitare i +modi risonanti della microsfera. Abbiamo infatti testato questa +modalità acquisendo immagini di singoli fluorofori, legati alla +superficie di microsfere immobilizzate sulla superficie di un vetrino +coprioggetti e confrontando le immagini ottenute in schema HILO per +diverse posizioni del piano focale. Il risultato di questo confronto è +mostrato in figura \ref{fig:bfvshilo}. I singoli fluorofori +visualizzati nella terza immagine sono quelli che si trovano sulla +sommità delle microsfere e vengono eccitati dal fascio inclinato +(HILO), a una distanza di \SI{1.4}{\um} dal piano selezionato +nell'immagine precedente (b). La regione mostrata, di grandezza +\SI{40}{\um} x \SI{40}{\um} è stata ottenuta con una potenza ottica +sul campione di 1mW e un tempo di integrazione di 30ms. Per acquisire +regioni di interesse molto più piccole, come quella nell’immediata +prossimità di due proteine interagenti in un esperimento di +force-clamp, è ragionevole prevedere la possibilità di raggiungere la +sensibilità di singolo fluoroforo con tempi di integrazione +dell’ordine del millisecondo. - - - -\begin{figure}[h] +\begin{figure}[ht] \centering \begin{subfigure}{0.45\linewidth} \centering @@ -785,3 +843,10 @@ loro fluttuazioni e quindi influenzando la corretta esecuzione del \textit{force TIRF (a) e HILO (b).} \label{fig:three_beads} \end{figure} + +\begin{figure}[ht] + \centering + \includegraphics[width=0.8\linewidth]{wfvshilo.png} + \caption{Fluoroforo Alexa Fluor 647 su microsfere di silice, immobilizzate. Immagini in bright-field (a), HILO al livello della superficie interna del campione (b) e HILO a \SI{1.4}{\um} di profondità (c).} + \label{fig:bfvshilo} +\end{figure} diff --git a/images/fc_timetrace.pdf b/images/fc_timetrace.pdf new file mode 100644 index 0000000000000000000000000000000000000000..82555e0bf9044a5366f8eaa9960a32fad35ab039 GIT binary patch literal 181127 zcmbTdWmFtZ*Djm{cMlM3LU0}2-NWD(oPiAPIzWKn?(V@YxVyUrcLeZRh0v%0&gy1K5qs;c+iwRh91O3Sixu<@YNHl9{JpmPI&00&cRbYWotI|yQL z;c5xsfoG|s0{{SaSu0yth%@|b3wDJ_L(CjLL(oM<(Oq1fAz(XnXqHwihfO~aH`wDT zf^Ri2Stwh%Zs~{nZ`F6Wu0T>rCrRYB@Xn;i`!V;tQv&j=KbyBS$om>jY&n6D*>Bjn zovoP&e`Kxog>Y_C3IcJ^)rRJ`5u}VpiBsy99Z1ybCaH&xG~HI>Q~4uYuKPB!QBz6V ztG|}akS`MIZOkF9{WwWcYE1WZcu<$<_ z@EQZM?LR~CKk)v;^gqq8Yq*)Z{>zer9h|0r zvvjOJ!`A>WC-C2tJjBYv(iOnX%l~gu%E8vbS;G-*1}FCa0nDxdC&$^*;h%-_zg=UO zv~qP(g*Zz&*f~1b|3f_g|Fe8fI#Hm6x+!d*G&<+zMA{v^ZaPm__#QUbZcptsLf(|0 zZ^}y|?{(g8Vt9sP){VgD5DiUSoMRvAnFRE#^H!D=Zz(7iw6Hls$jzg~v7z;uh$q>P zww#7DDXZn+@kLPubTAUg{jfOC{R$QWZ3wso$fy* 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+ + image/svg+xml - + @@ -1700,24 +1744,6 @@ cx="-48.741379" cy="63.386063" r="3.3407927" /> - - - - @@ -1772,55 +1798,56 @@ δx + d="m 46.519869,47.805767 -1.4063,-2.197178" + style="fill:none;stroke:#000000;stroke-width:0.321513px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" /> posizionetarget + d="m 36.376198,55.999012 h 6.862739 l 1.885969,4.135129" + style="fill:none;stroke:#800000;stroke-width:0.264583px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" + sodipodi:nodetypes="ccc" /> movimento trappole + + + + + + + + diff --git a/images_src/three_beads_tension.svg b/images_src/three_beads_tension.svg index 89f1737..fcec212 100644 --- a/images_src/three_beads_tension.svg +++ b/images_src/three_beads_tension.svg @@ -9,7 +9,7 @@ xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" - inkscape:version="1.0 (4035a4fb49, 2020-05-01)" + 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