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com.apple.print.ticket.APIVersion 00.20 com.apple.print.ticket.privateLock com.apple.print.ticket.type com.apple.print.PrintSettingsTicket ^Graph*@@?UUUUUU?qqZWDashSettings#  !0Normal@ Geneva<HHHH$$0Normal@ Geneva<HHHH$$4444440 D!hNormal@ Geneva<HHHH$$4 4 4 4 4 4 0homeddA 7Integrin:Users:davidmorgan:DLMDocs:Teaching:IgorWeb:IgorSite:ECE4084:Integrin7H+A VECE4084A W IgorSiteW(pA VA O j > |bDIntegrin:Users:davidmorgan:DLMDocs:Teaching:IgorWeb:IgorSite:ECE4084ECE4084Integrin;Users/davidmorgan/DLMDocs/Teaching/IgorWeb/IgorSite/ECE4084/eRecentWindows1CommutatorNotebook0:InstructionsTension traces 4Misc_EndXOPState_StartData Browserook0:InstructionGizmoons ӡӡSurface Plotterb:IgorSite:ECE40XLLoadWave`[k[4XOPState_End#@9ɂ@NP@TtPk?ٙTtHR?QCFV_Flag?V_chisq?ɀ)یV_numNaNsV_numINFsV_npnts@tV_nterms@V_nheld?V_qV_RabV_PrV_sigaV_sigbV_avg?ߧV_sdev?ӘWL"EV_rms?J=5,qV_minlocV_minV_maxloc@V_max?V_adev?eI V_skewϤ-V_kurtE|*midbit@V_startRow@dV_endRow@~V_startColV_endColV_startLayerV_endLayerV_startChunkV_endChunkS_infoL+ KsDATE=Thu, 1 Nov 2007;TIME=9:20:07 AM;FUNCTION=sin;AUTODESTWAVE=fit_ten;YDATA=root:ten[165,495];XDATA=_calculated_,;֥Animate() NaN SetAxis/A/N=1 left DefaultFont/U "Helvetica" DoWindow/C/T Parts,"Parts" Tag/N=text0/A=LT/P=10 ten, 0.499414,"Total tension" Tag/C/N=text0 ten, 0.402539 Tag/C/N=text0/A=MC Tag/C/N=text0/A=LC Animate() NaN Animate() NaN Animate() NaN Animate() NaN Animate() NaN Animate() NaN Animate() NaN Animate() NaN Animate() NaN Animate() NaN Animate() NaN print (4.4-2.7)/100*6000000 102000 Silent 101 Animate() NaN d@ gOJWtwitchx????5=H0=Ƚ6>@>G>x>1>|>>>Z?=?9??"g?+J?5?=?E?M?T1?[?aŘ?gk?l^?q ?t ?xS?{?}:?~m???w?~A?}-?zW?x6Y?t?p?lau?gW?a?['?UJ?Ne6?G??{(?7?/Q?&?:?p? ?>;e>VL>ѕE>>~>u>>{݌>] >@>%> .=o=ݝ=f-=dv='<ژ<-<h0;X:N3Ttwitch(1,x)PBDelays?:UOJ>SF>?J?2e&?TAmps ?g:U??fff?L?333??>>>L=~ȮTw0?xͿgzOJ<<}={=q=s=d>#>=>5@>M)g>d>|>>>Y>x>D*>Ò1>>׷>>(>O?m?6? ??A?? 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Ru@?@?(@?Iu@?etH@?m @?Ԉ @?+D@?O@?Ou@?Z@?@?sP@?ȿW@?^@?D@?@?!V@?@?A@?<@?᣽@?@?vh@?F@?ݩ#@?"ز#@?٦@?t4@?ز1@?Oݝ@?ʘe@?@?ƹ]$@?L[@?|{~@?`@.@?g@@?gS@?z@?yq3@?oR3@?e*w@?[b6@?QAzf@?G-.@?=1@?3WC@?)˛@? /@?)@@??@?f#@>!C@>@@>ɠmE@>Ȇ6@>;N0@>2͜@>ԯ;@>ϸ;@>R4@>ǂ[@>L@>KF@>@>aF@>Nl@>J@>,T@>a`@>8?@>ïA@>Fr@>sC̶@>θ|;@>ӐŨA@>|@>0"@>QY@>@>e!@?n@? !@?'@?,s@?'{@?1@>1_ؑ@>,-@>4A@>ݽoi@>Nn@>Ҟ&@>0`@>ɷj@>%$@>-R@>GL@>Z_@>@@>%%@>n@>F@> Յ*@>##G@>|@>-@>@>К);@>լWo@>H\@>ka@> r @>&F@>Z@>6 @?P+@?.9@?b@?!@?+t>@?5+ @?? 4qX@?IL@?S%<@?]GT@?gk` Curve fit with data subrange: ten[165,495] fit_ten= W_coef[0]+W_coef[1]*sin(W_coef[2]*x+W_coef[3]) W_coef={2.4059,0.00030668,6.2832,-5.58} V_chisq= 0.199224;V_npnts= 331;V_numNaNs= 0;V_numINFs= 0; V_startRow= 165;V_endRow= 495; W_sigma={0.00135,0.00192,0,6.24} Coefficient values one standard deviation y0 =2.4059 0.00135 A =0.00030668 0.00192 f =6.2832 0 phi =-5.58 6.24 rW_sigma?OJOJ?V1gn?_kTC?@3C+OldDelays?gg>I%>I%>m?I%?6n?[m:Offset?OJOJ?Jg?=?#>JW>>ZXh:UѾ:UW_ParamConfidenceIntervalx????I dWMT0IGR0InstructionsNotebook0Notebook0:InstructionszH9HH(Fg(HH(dh 6C 6C $Normal < B++++$$ \ rZ ff   DSimulation of distributed stimulation of unequal muscle fragments.  1@For the background, please see the poster above.  HAnimate from the Macros menu.    iThis makes the "Commutator" rotate around the unequally spaced contacts, to produce the stimulus pulses.  *HNumber of parts in Tension traces window.   ! ZThis sets the number of parts being stimulated, as shown by the number of tension traces in the window the number of contacts on the Commutator, and the number of Delays shown in the Parts window.      'HReset button on Tension traces window.    ZThis sets the spacing of the contacts on the commutator to equal spacing, shows the resulting twitch traces in the Tension traces window, and adds them to produce the total tension trace. The Parts window also displays the equal spacing. s     ,HIterate button in the Tension traces window   $ v6This shows the process of reducing the tension ripple. The program fits a sinusoidal curve (the black dashed line) to the total tension trace (red), and uses it to adjust the timing of the stimulus impulses, as shown by the position of the contacts in the Commutator, and the horizontal positions of the individual tension traces. It then updates the total tension trace.    $Twitch window  This allows the parameters of the twitch to be set. Note that the time units are the time between stimuli to one part. Hence high stimulus rates are simulated by long twitches. Distributed stimulation has the greatest benefit at low stimulation rates.   $Parts window  6This can be used to set the Amplitudes of the various muscle parts, and shows the delays between the stimulus to the first part and stimuli to subsequent parts, corresponding to the angular positions of the contacts on the Commutator.   ZtNhVp( 4 N Normal+ Normal+ ?GenevaChicagoPalatino// Platform=Macintosh, IGORVersion=6.020, architecture=PowerPC Silent 101 // use | as bitwise or -- not comment. DefaultFont "Helvetica" MoveWindow/P 33,324,644,616 MoveWindow/C 20,676,497,755 TwitchParams() Parts() Comm() OpenNotebook/N=Notebook0/W=(5,376,409,683)/J=83794 "Instructions" TensionTraves() Window TensionTraves() : Graph PauseUpdate; Silent 1 // building window... Display /W=(329,45,957,501) Tw0,Tw1,Tw2,Tw3,Tw4,Tw5,Tw6,Tw7,Tw8 as "Tension traces" AppendToGraph Tw9,ten,fit_ten ModifyGraph lStyle(fit_ten)=3 ModifyGraph rgb(Tw0)=(0,0,0),rgb(Tw1)=(52428,34958,1),rgb(Tw3)=(65535,49157,16385) ModifyGraph rgb(Tw4)=(65535,65535,0),rgb(Tw5)=(3,52428,1),rgb(Tw6)=(1,16019,65535) ModifyGraph rgb(Tw7)=(65535,16385,55749),rgb(Tw8)=(39321,39321,39321),rgb(fit_ten)=(0,0,0) Label left "Tension (units of twitch tension)" Label bottom "Time (Units of 1/stimulus rate)" SetAxis/A/N=1 left Tag/C/N=text0/A=LC/X=6.92/Y=-8.02/P=10 ten, 0.402539062499999989, "Total tension" ControlBar 23 SetVariable NP,pos={44,3},size={164,15},proc=NewNn,title="Number of parts" SetVariable NP,limits={1,10,1},value= NP Button Iterate,pos={317,1},size={58,20},proc=Adjust,title="Iterate" Button Reset,pos={249,1},size={50,20},proc=ResetButton,title="Reset" SetDrawLayer ProgBack SetDrawEnv xcoord= rel,ycoord= rel SetDrawEnv save SetDrawLayer ProgFront SetDrawEnv linethick= 3,arrow= 1,arrowfat= 1 SetDrawEnv save SetDrawLayer UserFront EndMacro Window Comm() : Graph PauseUpdate; Silent 1 // building window... Display /W=(6,44,322,332) as "Commutator" ModifyGraph width=288,height=288 ShowTools SetDrawLayer ProgBack SetDrawEnv xcoord= rel,ycoord= rel SetDrawEnv save SetDrawEnv linethick= 2 DrawLine 0.487441896094137,0.100394654314346,0.512558103905863,0.100394654314346 DrawLine 0.5,0.1,0.5,0.05 DrawLine 0.790645360946655,0.7,0.790645360946655,0.05 DrawLine 0.790645360946655,0.05,0.5,0.05 DrawLine 0.790645360946655,0.7,0.65,0.7 SetDrawEnv linefgc= (52428,52425,1) DrawLine 0.65,0.7,0.5,0.8 SetDrawEnv linethick= 2 DrawLine 0.688733240898912,0.233820216230382,0.69553954921897,0.25799661095528 DrawLine 0.692516281965238,0.245801465164811,0.740645352456547,0.232251831456014 DrawLine 0.740645349025726,0.65,0.740645349025726,0.232251831456014 DrawLine 0.740645349025726,0.232251831456014,0.740645352456547,0.232251831456014 DrawLine 0.740645349025726,0.65,0.6,0.65 SetDrawEnv linefgc= (52428,52425,1) DrawLine 0.6,0.65,0.5,0.8 SetDrawEnv linethick= 2 DrawLine 0.619713888395731,0.460214184531753,0.598689746818693,0.473954976568256 DrawLine 0.609417728500305,0.467414935683271,0.636772160625381,0.509268669604088 DrawLine 0.636772155761719,0.6,0.636772155761719,0.509268669604088 DrawLine 0.636772155761719,0.509268669604088,0.636772160625381,0.509268669604088 DrawLine 0.636772155761719,0.6,0.55,0.6 SetDrawEnv linefgc= (52428,52425,1) DrawLine 0.55,0.6,0.5,0.8 SetDrawEnv linethick= 2 DrawLine 0.42924765606146,0.487067115836008,0.406359832904841,0.476724415705331 DrawLine 0.417641228260193,0.482255405180506,0.397051535325242,0.527819256475633 DrawLine 0.39705154299736,0.55,0.39705154299736,0.527819256475633 DrawLine 0.39705154299736,0.527819256475633,0.397051535325242,0.527819256475633 DrawLine 0.39705154299736,0.55,0.5,0.55 SetDrawEnv linefgc= (52428,52425,1) DrawLine 0.5,0.55,0.5,0.8 SetDrawEnv linethick= 2 DrawLine 0.315535348445572,0.377283842599237,0.307303673424763,0.353554885159148 DrawLine 0.311046654670446,0.365548709283785,0.263808318338057,0.381935886604732 DrawLine 0.263808310031891,0.6,0.263808310031891,0.381935886604732 DrawLine 0.263808310031891,0.381935886604732,0.263808318338057,0.381935886604732 DrawLine 0.263808310031891,0.6,0.45,0.6 SetDrawEnv linefgc= (52428,52425,1) DrawLine 0.45,0.6,0.5,0.8 SetDrawEnv linethick= 2 DrawLine 0.319521098261188,0.213817832313452,0.33174571805957,0.191877400101966 DrawLine 0.325288655230487,0.202655529130677,0.281610819038109,0.178319411413347 DrawLine 0.213808313012123,0.65,0.213808313012123,0.178319411413347 DrawLine 0.213808313012123,0.178319411413347,0.281610819038109,0.178319411413347 DrawLine 0.213808313012123,0.65,0.4,0.65 SetDrawEnv linefgc= (52428,52425,1) DrawLine 0.4,0.65,0.5,0.8 SetDrawEnv linethick= 5,linefgc= (52428,52425,1) DrawLine 0.5,0.8,0.5,0.9 SetDrawLayer ProgFront SetDrawEnv linethick= 3,arrow= 1,arrowfat= 1 SetDrawEnv save DrawLine 0.5,0.3,0.499999999999976,0.1 SetDrawLayer UserFront SetDrawEnv linefgc= (52428,17472,1),fillfgc= (52428,17472,1) DrawOval 0.177083333333333,0.902777777777778,0.850694444444444,0.972222222222222 SetDrawEnv arrowfat= 1 SetDrawEnv save DrawOval 0.479166666666667,0.28125,0.520833333333333,0.322916666666667 EndMacro Window Parts() : Table PauseUpdate; Silent 1 // building window... Edit/W=(717,546,909,753) Amps,Delays,Offset as "Parts" ModifyTable format(Point)=1,width(Point)=26,width(Amps)=66 EndMacro Window TwitchParams() : Graph PauseUpdate; Silent 1 // building window... Display /W=(442,538,709,762) Wtwitch as "Twitch" ControlBar 39 SetVariable TtPk,pos={65,2},size={143,15},title="Time to Peak" SetVariable TtPk,limits={0,1,0.02},value= TtPk SetVariable TtHR,pos={2,20},size={206,15},title="Time to half relaxation" SetVariable TtHR,limits={0.1,2,0.02},value= TtHR EndMacro #pragma rtGlobals=0 function twitch(Amp, tt) variable Amp,tt //Amplitude, time after initiation of twitch if ((tt<0)+(tt>(TtPk+2*TtHR))) return 0 endif if (ttabs(delays[current+1]-.5)) current+=1 endif variable /g MidBit=current offset[current]=ra2x(.25,delays[current]) //print current, offset[current] do current-=1 offset[current]=offset[current+1]+.05 if (ra2x(.25, delays[current])>offset[current]) offset[current]=ra2x(.25, delays[current]) endif while (current>0) current=Binarysearch(delays, .5) do current+=1 offset[current]=offset[current-1]-.05 if (ra2x(.25, delays[current])