Ramp Switch= 0 ~ dmnl ~ | Normalized Pt= DELAY FIXED ( Pt Proxim Tub Pressure/Initial Pt,TIME STEP,Pt Proxim Tub Pressure/Initial Pt) ~ dmnl ~ Normalized PT, delayed by one time step with DELAY FIXED to eliminate \ inter-TIME STEP values in RK4 integration. | Phase Angle= ARCTAN(Normalized Pt/Delayed Pt) ~ rad ~ Angle from the origin of the point (Pt, Delayed Pt) | Radius= SQRT(Delayed Pt^2+Normalized Pt^2) ~ dmnl ~ Radius from the origin of the point (Pt, Delayed Pt) | Pt Plot=SAMPLE IF TRUE( Pt Plot Switch,Interpolated Pt,:NA:) ~ dmnl ~ | Interpolated Pt= Interpolated Radius*SIN(Slice Angle) ~ dmnl ~ Interpolation to determine value of Pt at crossing of slice angle. | Interpolated Radius= Previous Radius+(Radius-Previous Radius)*ZIDZ(Slice Angle-Previous Angle,Phase Angle\ -Previous Angle) ~ dmnl ~ | Previous Radius= DELAY FIXED ( Radius, TIME STEP, Radius) ~ dmnl ~ | Pt Plot Switch= IF THEN ELSE( (Phase Angle >= Slice Angle :AND: Previous Angle < Slice Angle) :OR: (Phase Angle <= Slice Angle :AND: Previous Angle > Slice Angle) ,1,0) ~ dmnl ~ Plot switch for taking a section through the Poincare map of Pt vs. Delayed Pt. \ Returns one when the angle of the slice lies between the current and previous angles \ of Pt vs. Delayed Pt. | Previous Angle= DELAY FIXED ( Phase Angle, TIME STEP, Phase Angle) ~ rad ~ Phase angle delayed by one time step for creating Poincare section. | T Mac Dens Aff Art Delay Initial = 4.5 ~ seconds ~ | T Mac Dens Aff Art Delay Final= 12 ~ seconds ~ | Initial Pt = 12 ~ mmHg ~ | Slice Angle = 0.785398 ~ rad ~ pi/4 | ******************************************************** .Mosekilde ********************************************************~ Erik Mosekilde's model of chaos in rat kidneys. Replicated from equations presented in Mosekilde's paper by Tom Fiddaman, with help from Bob Eberlein on the use of Vensim's SIMULTANEOUS function. While I have been unable to find chaotic behavior at the exact parameter values specified in the paper, try setting d = 0.10, T_Mac_Dens_Aff_Art_Delay = 10 for a chaotic or at least very high periodicity regime. For chaotic runs, you should extend the final time to 1000 or 2000 seconds and set the time axis controls so that results are plotted only after initial transients have died out - 200 to 500 seconds. | ******************************************************** .Afferent ********************************************************~ | Ra Afferent Arter Resist= INTEG ( dRa, Ra0) ~ sec*mmHg/nl ~ | Alpha = 9 ~ dmnl ~ | Chg dRa= -2*d*Omega*K^0.5*dRa-Omega*Omega*K*(Ra Afferent Arter Resist-Psi Input*Ra0) ~ sec*mmHg/nl/sec/sec ~ | d = 0.16 ~ dmnl ~ Raising d may increase the amplitude of oscillation! | dRa = INTEG(Chg dRa, 0) ~ sec*mmHg/nl/sec ~ {initialized stationary} | K =IF THEN ELSE(Ra Normalized>K Thresh Max,1+K Coeff* (Ra Normalized-K Thresh Max)^2,IF THEN ELSE(Ra Normalized BF->Pg positive loop, so that the convergence routine will work properly. | a = 0.163 ~ mmHg*nl/ng ~ {mmHg*l/g} | b = 0.0029 ~ mmHg*(nl*nl)/(ng*ng) ~ {mmHg*l^2/g^2} | Ca Affer Blood Protein Conc = 54 ~ ng/nl ~ {g/l} | Ce Effer Blood Protein Conc= (a/2/b)*((1+(Actual Pg-Pt Proxim Tub Pressure)/b/(a/2/b)/(a/2/b))^0.5 - 1) ~ ng/nl ~ | Ha Hematocrit = 0.5 ~ dmnl ~ | Indicated Pg= Pv Veinous Pressure+Re Efferent Resist*(BF Blood Flow-SNGFR Filtrat Flow) ~ mmHg ~ | Pa Arterial Pressure = 100 ~ mmHg ~ {mmHg} | Pv Veinous Pressure = 10 ~ mmHg ~ {mmHg} | Re Efferent Resist = 14 ~ sec*mmHg/nl ~ {mmHg*s/nl} | SNGFR Filtrat Flow= BF Blood Flow*(1-Ha Hematocrit)*(1-Ca Affer Blood Protein Conc/Ce Effer Blood Protein Conc\ ) ~ nl/sec ~ { Equation 2 } | ******************************************************** .Loop ********************************************************~ | T Mac Dens Aff Art Delay= T Mac Dens Aff Art Delay Initial +(T Mac Dens Aff Art Delay Final-T Mac Dens Aff Art Delay Initial) *Ramp Switch*(Time-INITIAL TIME)/(FINAL TIME-INITIAL TIME) ~ seconds ~ | Fhen0 = 0.1875 ~ nl/sec ~ | Fhen Flow to Loop of Henle = (Pt Proxim Tub Pressure-Pd Distal Tub Pressure)/Rhen Henle Loop Resist ~ nl/sec ~ | Fhen Norm Delayed = smOOth3(Fhen Flow to Loop of Henle,T Mac Dens Aff Art Delay)/Fhen0 ~ dmnl ~ | Pd Distal Tub Pressure = 4.5 ~ mmHg ~ {mmHg} | Rhen Henle Loop Resist = 40 ~ sec*mmHg/nl ~ {mmHg*s/nl} | ******************************************************** .Proximal ********************************************************~ | Delayed Pt= DELAY FIXED ( Normalized Pt ,Pt Delay,Normalized Pt ) ~ dmnl ~ Delayed value of Pt for creating Poincare section. | Ctub Tubule Compliance = 0.4 ~ nl/mmHg ~ {nl/mmHg} | dPt Chg Prox Tub Press = (SNGFR Filtrat Flow-Freab Reabsorb Flow-Fhen Flow to Loop of Henle)/Ctub Tubule Compliance ~ mmHg/sec ~ | Freab Reabsorb Flow = 0.3 ~ nl/sec ~ {nl/sec} nl/sec | Pt Proxim Tub Pressure = INTEG(dPt Chg Prox Tub Press, Initial Pt) ~ mmHg ~ {mmHg - guestimate, pg. 92 left side 3rd paragraph} | Pt Delay = 10 ~ seconds ~ | ******************************************************** .Control ********************************************************~ Note: the model MUST be simulated with RK4 integration for reasonable accuracy. Mosekilde uses RK4 with a fixed step of .05; you could probably do better with a variable step of similar or perhaps larger size (.0625 or .125). I haven't tested these in this version. | TIME STEP = 1 ~ seconds ~ | FINAL TIME = 400 ~ seconds ~ | INITIAL TIME = 0 ~ seconds ~ | SAVEPER = TIME STEP ~ seconds ~ | \\\---/// Sketch information - do not modify anything except names V300 Do not put anything below this section - it will be ignored *Model $0,0,Times New Roman|12||0-0-0|0-0-0|0-0-0|-1--1--1|-1--1--1 12,1,48,259,176,8,8,0,3,0,0,-1,0,0,0 10,2,Pt Proxim Tub Pressure,440,180,40,20,3,3,0,0,0,0,0,0 12,3,48,377,782,8,8,0,3,0,0,-1,0,0,0 10,4,SNGFR Filtrat Flow,201,342,65,11,0,3,0,0,-1,0,0,0 10,5,Freab Reabsorb Flow,123,177,69,11,0,3,0,0,-1,0,0,0 10,6,Ctub Tubule Compliance,125,234,78,11,0,3,0,0,-1,0,0,0 10,7,Ha Hematocrit,40,350,47,11,0,3,0,0,-1,0,0,0 10,8,Ca Affer Blood Protein Conc,90,387,91,11,0,3,0,0,-1,0,0,0 10,9,Ce Effer Blood Protein Conc,359,306,90,11,0,3,0,0,-1,0,0,0 10,10,Indicated Pg,325,411,40,11,0,3,0,0,-1,0,0,0 10,11,BF Blood Flow,192,440,50,11,0,3,0,0,-1,0,0,0 10,12,Fhen Flow to Loop of Henle,603,252,89,11,0,3,0,0,-1,0,0,0 10,13,Actual Pg,540,410,32,11,0,3,0,0,0,0,0,0 10,14,a,486,289,6,11,0,3,0,0,-1,0,0,0 10,15,b,502,314,6,11,0,3,0,0,-1,0,0,0 10,16,Pd Distal Tub Pressure,643,125,72,11,0,3,0,0,-1,0,0,0 10,17,Rhen Henle Loop Resist,718,175,76,11,0,3,0,0,-1,0,0,0 10,18,Initial Pt,431,135,36,11,0,2,0,3,-1,0,0,0,128-128-128,0-0-0,|12||128-128-128 10,19,Pv Veinous Pressure,330,351,65,11,0,3,0,0,-1,0,0,0 10,20,Re Efferent Resist,334,465,56,11,0,3,0,0,-1,0,0,0 10,21,Pa Arterial Pressure,80,530,63,11,0,3,0,0,-1,0,0,0 10,22,Ra Afferent Arter Resist,210,603,40,20,3,3,0,0,0,0,0,0 10,23,K,460,705,8,11,0,3,0,0,-1,0,0,0 10,24,Ra Normalized,357,650,48,11,0,3,0,0,-1,0,0,0 10,25,Psi Input,460,791,29,11,0,3,0,0,-1,0,0,0 10,26,Ra0,362,707,15,11,0,3,0,0,-1,0,0,0 10,27,K Thresh Min,388,620,45,11,0,3,0,0,-1,0,0,0 10,28,K Coeff,455,610,27,11,0,3,0,0,-1,0,0,0 10,29,Psi,542,743,11,11,0,3,0,0,-1,0,0,0 10,30,Psi min,657,768,24,11,0,3,0,0,-1,0,0,0 10,31,Fhen Norm Delayed,648,616,64,11,0,3,0,0,-1,0,0,0 10,32,Fhen0,770,650,21,11,0,3,0,0,-1,0,0,0 10,33,K Thresh Max,511,629,47,11,0,3,0,0,-1,0,0,0 10,34,d,344,848,6,11,0,3,0,0,-1,0,0,0 10,35,Omega,268,851,24,11,0,3,0,0,-1,0,0,0 10,36,Psi Test,415,884,26,11,0,3,0,0,-1,0,0,0 10,37,Psi max,560,839,26,11,0,3,0,0,-1,0,0,0 10,38,Alpha,592,813,20,11,0,3,0,0,-1,0,0,0 10,39,S,672,820,7,11,0,3,0,0,-1,0,0,0 10,40,Psi Test SW,495,883,40,11,0,3,0,0,-1,0,0,0 11,41,988,318,176,6,8,34,3,0,0,1,0,0,0 10,42,dPt Chg Prox Tub Press,318,195,76,11,32,3,0,0,-1,0,0,0 10,43,dRa,212,782,40,20,3,3,0,0,0,0,0,0 11,44,652,306,782,6,8,34,3,0,0,1,0,0,0 10,45,Chg dRa,306,801,29,11,32,3,0,0,-1,0,0,0 1,46,15,9,0,0,0,0,0,0,0,-1--1--1,,1|(479,312)| 1,47,14,9,0,0,0,0,0,0,0,-1--1--1,,1|(467,290)| 1,48,15,9,0,0,0,0,0,0,0,-1--1--1,,1|(479,312)| 1,49,2,9,1,0,0,0,0,0,0,-1--1--1,,1|(413,242)| 1,50,13,9,1,0,0,0,0,0,0,-1--1--1,,1|(465,347)| 1,51,15,9,0,0,0,0,0,0,0,-1--1--1,,1|(479,312)| 1,52,14,9,0,0,0,0,0,0,0,-1--1--1,,1|(467,290)| 1,53,26,44,1,0,0,0,0,0,0,-1--1--1,,1|(345,745)| 1,54,25,45,1,0,0,0,0,0,0,-1--1--1,,1|(386,800)| 1,55,22,44,1,0,0,0,0,0,0,-1--1--1,,1|(284,684)| 1,56,23,44,1,0,0,0,0,0,0,-1--1--1,,1|(411,750)| 1,57,35,45,0,0,0,0,0,0,0,-1--1--1,,1|(282,831)| 1,58,35,45,0,0,0,0,0,0,0,-1--1--1,,1|(282,831)| 1,59,34,45,0,0,0,0,0,0,0,-1--1--1,,1|(330,831)| 1,60,6,42,0,0,0,0,0,0,0,-1--1--1,,1|(214,215)| 1,61,12,41,1,0,0,0,0,0,0,-1--1--1,,1|(537,133)| 1,62,5,42,0,0,0,0,0,0,0,-1--1--1,,1|(210,184)| 1,63,4,42,1,0,0,0,0,0,0,-1--1--1,,1|(238,263)| 1,64,17,12,0,0,0,0,0,0,0,-1--1--1,,1|(666,209)| 1,65,16,12,0,0,0,0,0,0,0,-1--1--1,,1|(625,181)| 1,66,2,12,1,0,0,0,0,0,0,-1--1--1,,1|(526,205)| 1,67,32,31,0,0,0,0,0,0,0,-1--1--1,,1|(724,637)| 1,68,12,31,1,0,0,0,0,0,0,-1--1--1,,1|(635,423)| 1,69,4,10,1,0,0,0,0,0,0,-1--1--1,,1|(249,378)| 1,70,11,10,0,0,0,0,0,0,0,-1--1--1,,1|(256,426)| 1,71,20,10,0,0,0,0,0,0,0,-1--1--1,,1|(330,444)| 1,72,19,10,0,0,0,0,0,0,0,-1--1--1,,1|(328,374)| 1,73,24,23,0,0,0,0,0,0,0,-1--1--1,,1|(408,677)| 1,74,27,23,0,0,0,0,0,0,0,-1--1--1,,1|(419,657)| 1,75,28,23,0,0,0,0,0,0,0,-1--1--1,,1|(456,650)| 1,76,27,23,0,0,0,0,0,0,0,-1--1--1,,1|(419,657)| 1,77,24,23,0,0,0,0,0,0,0,-1--1--1,,1|(408,677)| 1,78,33,23,0,0,0,0,0,0,0,-1--1--1,,1|(489,661)| 1,79,24,23,0,0,0,0,0,0,0,-1--1--1,,1|(408,677)| 1,80,28,23,0,0,0,0,0,0,0,-1--1--1,,1|(456,650)| 1,81,33,23,0,0,0,0,0,0,0,-1--1--1,,1|(489,661)| 1,82,24,23,0,0,0,0,0,0,0,-1--1--1,,1|(408,677)| 1,83,39,29,0,0,0,0,0,0,0,-1--1--1,,1|(615,786)| 1,84,31,29,1,0,0,0,0,0,0,-1--1--1,,1|(610,688)| 1,85,38,29,0,0,0,0,0,0,0,-1--1--1,,1|(571,783)| 1,86,30,29,0,0,0,0,0,0,0,-1--1--1,,1|(599,755)| 1,87,37,29,0,0,0,0,0,0,0,-1--1--1,,1|(552,797)| 1,88,37,29,0,0,0,0,0,0,0,-1--1--1,,1|(552,797)| 1,89,29,25,1,0,0,0,0,0,0,-1--1--1,,1|(512,768)| 1,90,40,25,0,0,0,0,0,0,0,-1--1--1,,1|(480,843)| 1,91,36,25,0,0,0,0,0,0,0,-1--1--1,,1|(433,843)| 1,92,40,25,0,0,0,0,0,0,0,-1--1--1,,1|(480,843)| 1,93,26,24,0,0,0,0,0,0,0,-1--1--1,,1|(360,685)| 1,94,22,24,0,0,0,0,0,0,0,-1--1--1,,1|(279,624)| 1,95,9,4,1,0,0,0,0,0,0,-1--1--1,,1|(248,313)| 1,96,8,4,0,0,0,0,0,0,0,-1--1--1,,1|(138,367)| 1,97,7,4,0,0,0,0,0,0,0,-1--1--1,,1|(104,346)| 1,98,11,4,0,0,0,0,0,0,0,-1--1--1,,1|(195,397)| 1,99,41,2,4,0,0,22,0,0,0,-1--1--1,,1|(362,176)| 1,100,41,1,100,0,0,22,0,0,0,-1--1--1,,1|(289,176)| 1,101,44,43,4,0,0,22,0,0,0,-1--1--1,,1|(276,782)| 1,102,44,3,100,0,0,22,0,0,0,-1--1--1,,1|(340,782)| 1,103,13,11,1,0,0,0,0,0,0,-1--1--1,,1|(447,523)| 1,104,21,11,0,0,0,0,0,0,0,-1--1--1,,1|(130,489)| 1,105,22,11,0,0,0,0,0,0,0,-1--1--1,,1|(201,523)| 12,106,48,205,714,8,8,0,3,0,0,-1,0,0,0 11,107,48,205,664,8,6,1,3,0,0,1,0,0,0 1,108,107,22,4,0,0,22,0,0,0,-1--1--1,,1|(205,640)| 1,109,107,106,100,0,0,22,0,0,0,-1--1--1,,1|(205,688)| 1,110,43,107,1,0,0,0,0,0,0,-1--1--1,,1|(177,720)| 1,111,43,45,1,0,0,0,0,0,0,-1--1--1,,1|(232,809)| 10,112,Pg Difference,430,410,43,11,0,3,0,0,0,0,0,0 1,113,10,112,0,0,0,0,0,64,0,-1--1--1,,1|(369,410)| 1,114,13,112,1,0,0,0,0,64,0,-1--1--1,,1|(485,428)| 1,115,112,13,1,0,0,0,0,64,0,-1--1--1,,1|(480,395)| 10,116,Pg Initial,550,480,28,11,0,3,0,0,-1,0,0,0 1,117,116,13,0,0,0,0,0,0,0,-1--1--1,,1|(546,451)| 10,118,Pg Scale,600,450,29,11,0,3,0,0,-1,0,0,0 1,119,118,13,0,0,0,0,0,0,0,-1--1--1,,1|(575,433)| 10,120,Pg Diff Scale,510,520,51,11,0,2,0,3,-1,0,0,0,128-128-128,0-0-0,|12||128-128-128 1,121,120,13,0,0,0,0,0,0,0,-1--1--1,,1|(523,471)| 10,122,T Mac Dens Aff Art Delay,740,690,83,11,0,3,0,0,-1,0,0,0 10,123,T Mac Dens Aff Art Delay Initial,940,760,101,11,0,3,0,0,-1,0,0,0 1,124,122,31,0,0,0,0,0,0,0,-1--1--1,,1|(699,657)| 10,125,T Mac Dens Aff Art Delay Final,960,720,100,11,0,3,0,0,-1,0,0,0 1,126,123,122,0,0,0,0,0,64,0,-1--1--1,,1|(846,727)| 1,127,125,122,0,0,0,0,0,64,0,-1--1--1,,1|(856,705)| 10,128,FINAL TIME,920,650,55,11,0,2,0,3,-1,0,0,0,128-128-128,0-0-0,|12||128-128-128 1,129,128,122,0,0,0,0,0,0,0,-1--1--1,,1|(836,668)| 10,130,INITIAL TIME,950,680,60,11,0,2,0,3,-1,0,0,0,128-128-128,0-0-0,|12||128-128-128 1,131,130,122,0,0,0,0,0,0,0,-1--1--1,,1|(863,683)| 10,132,Time,850,800,26,11,0,2,0,3,-1,0,0,0,128-128-128,0-0-0,|12||128-128-128 1,133,132,122,0,0,0,0,0,0,0,-1--1--1,,1|(799,749)| 10,134,Ramp Switch,810,830,43,11,0,3,0,0,0,0,0,0 1,135,134,122,0,0,0,0,0,64,0,-1--1--1,,1|(778,766)| 12,136,0,180,30,158,11,0,4,0,2,-1,0,0,0,0-0-0,0-0-0,|12||255-0-0 Replicated by Tom Fiddaman (Tom@Vensim.com) 12,137,0,170,90,140,55,8,4,0,2,-1,0,0,0,0-0-0,0-0-0,|12||255-0-0 From Jensen, K.S., Mosekilde, Erik, and Holstein-Rathlou, N. Self-Sustained Oscillations and Chaotic Behavior in Kidney Pressure Regulation. In I. Prigogine and M. Sanglier, eds., Laws of Nature and Human Conduct. Brussels: Taskforce of Research Informat \\\---/// Sketch information - do not modify anything except names V300 Do not put anything below this section - it will be ignored *Plotting $0,0,Times New Roman|12||0-0-0|0-0-0|0-0-0|-1--1--1|-1--1--1 10,1,Delayed Pt,180,160,36,11,0,3,0,0,-1,0,0,0 10,2,Pt Delay,285,115,28,11,0,3,0,0,-1,0,0,0 10,3,Pt Proxim Tub Pressure,440,120,83,11,0,2,0,3,-1,0,0,0,128-128-128,0-0-0,|12||128-128-128 10,4,Pt Plot,580,280,23,11,0,3,0,0,-1,0,0,0 10,5,Previous Angle,340,280,48,11,0,3,0,0,-1,0,0,0 10,6,Pt Plot Switch,470,280,45,11,0,3,0,0,-1,0,0,0 10,7,Slice Angle,440,320,36,11,0,3,0,0,-1,0,0,0 10,8,Phase Angle,283,227,40,11,0,3,0,0,-1,0,0,0 1,9,6,4,0,0,0,0,0,0,0,-1--1--1,,1|(529,280)| 1,10,1,8,0,0,0,0,0,0,0,-1--1--1,,1|(225,189)| 1,11,8,6,0,0,0,0,0,0,0,-1--1--1,,1|(369,251)| 1,12,7,6,0,0,0,0,0,0,0,-1--1--1,,1|(450,305)| 1,13,5,6,1,0,0,0,0,64,0,-1--1--1,,1|(401,279)| 1,14,8,5,0,0,0,0,0,64,0,-1--1--1,,1|(305,248)| 10,15,Interpolated Radius,270,360,61,11,0,3,0,0,0,0,0,0 10,16,Radius,186,225,23,11,0,3,0,0,0,0,0,0 1,17,1,16,0,0,0,0,0,64,0,-1--1--1,,1|(182,185)| 10,18,Previous Radius,120,290,51,11,0,3,0,0,0,0,0,0 1,19,18,15,0,0,0,0,0,64,0,-1--1--1,,1|(188,322)| 1,20,16,15,0,0,0,0,0,64,0,-1--1--1,,1|(223,286)| 1,21,8,15,0,0,0,0,0,64,0,-1--1--1,,1|(277,286)| 1,22,5,15,0,0,0,0,0,64,0,-1--1--1,,1|(309,314)| 1,23,7,15,0,0,0,0,0,0,0,-1--1--1,,1|(366,336)| 10,24,Interpolated Pt,570,360,47,11,0,3,0,0,0,0,0,0 1,25,15,24,0,0,0,0,0,64,0,-1--1--1,,1|(420,360)| 1,26,7,24,0,0,0,0,0,64,0,-1--1--1,,1|(497,337)| 1,27,24,4,0,0,0,0,0,64,0,-1--1--1,,1|(573,326)| 10,28,Normalized Pt,290,160,46,11,0,3,0,0,0,0,0,0 1,29,3,28,0,0,0,0,0,64,0,-1--1--1,,1|(371,138)| 1,30,28,1,0,0,0,0,0,64,0,-1--1--1,,1|(237,160)| 1,31,28,16,0,0,0,0,0,64,0,-1--1--1,,1|(243,188)| 1,32,28,8,0,0,0,0,0,64,0,-1--1--1,,1|(287,186)| 10,33,Initial Pt,430,160,36,11,0,2,0,3,-1,0,0,0,128-128-128,0-0-0,|12||128-128-128 1,34,33,28,0,0,0,0,0,64,0,-1--1--1,,1|(372,160)| 1,35,16,18,0,0,0,0,0,0,0,-1--1--1,,1|(158,252)| ///---\\\ :GRAPH PHASE :TITLE Phase :X-AXIS Pt Proxim Tub Pressure :SCALE :VAR Fhen Norm Delayed :SCALE :VAR Ra Afferent Arter Resist :GRAPH POINCARE :TITLE Poincare :X-AXIS Delayed Pt :X-DIV 4 :Y-DIV 4 :X-MIN 0.5 :X-MAX 1.5 :DOTS :SCALE :VAR Normalized Pt :Y-MIN 0.5 :Y-MAX 1.5 :VAR Pt Plot :GRAPH SECTION :TITLE Section :X-AXIS T Mac Dens Aff Art Delay :X-MIN 0 :X-MAX 16 :DOTS :SCALE :VAR Pt Plot :Y-MIN 0.5 :Y-MAX 1.5 :GRAPH POINCARE_0 :TITLE Poincare :X-DIV 4 :Y-DIV 4 :X-MIN 200 :DOTS :SCALE :VAR Normalized Pt :Y-MIN 0.5 :Y-MAX 1.5 :VAR Pt Plot :L<%^E!@ 1:ramp.vdf 9:ramp 22:$,Dollar,Dollars,$s 22:Day,Days 22:dmnl,rad 22:Hour,Hours 22:Month,Months 22:Person,People,Persons 22:sec,secs,second,seconds,s 22:Unit,Units 22:Week,Weeks 22:Year,Years 10:ramp5b.cin, 15:0,0,0,1 19:100,0 4:Time 5:Pt Proxim Tub Pressure