{"text_format":"1","workbook":"xlsx","n_sheets":16,"sheets":["Developer notes","User Navigation","Model Overview","Scenario Analyses","Analysis","Parameters","OWSA","Decision Tree 1","Decision Tree 2","Decision Tree 3","Markov trans matrix","Markov Model AD+","Markov Model AD -","Simulation","Survival Curve","Mortality"],"not_rendered":{"charts":8,"images":3,"macros":1,"external_links":1,"defined_names":280,"comments":2,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Developer notes","index":0,"n_rows":13,"n_cols":10,"rows_kept":13,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,"Developer Notes (Model version 36.00)"]
[]
[]
[]
[null,null,null,"Date",null,"Version",null,"Updates",null,"Notes"]
[null,null,null,"< 2025",null,34,null,"Prior to this model version, various updates were implemented. The Develop notes for this version of the model does not include these updates. ",null,"Our records were mainly captured in separate notes that were not documented in Excel prior to the current model version. In the final model, we implemented this Developer notes section to capture any addition changes with this version of the model. "]
[null,null,null,"2025-02-01",null,34.11,null,"Added three decision trees to allow for stochastic process for the parameters when a subject re-enters the Markov model from the decision tree model. ",null,"We noticed that the parameters from the decision tree would not be random. Hence, the need to have three unique decision trees to generate random values for the  PSA."]
[null,null,null,"2025-02-09",null,34.119999999999997,null,"For subjects who discontinue opioid use, they were assigned the population baseline mortality rate. \n\nSubjects who continued on an opioid were assigned the mortality rate based on the survival function. ",null,"We assumed that subjects who discontined an opioid would inherit the population average mortality rate. "]
[null,null,null,"2025-02-09",null,34.119999999999997,null,"One-way sensitivity analysis macro was created.",null,"This macro was created using the Record function of the Developer tools. "]
[null,null,null,"2025-02-09",null,34.119999999999997,null,"Where possible, the labels for the parameters replaced the word \"heroin\" with \"opioid.\"",null,"We modifed a previous model (Coffin and Sullivan, 2013) which simulated a population of heroin users. Our population was based on opioid users. "]
[null,null,null,"2025-02-21",null,35,null,"Updated macro buttons / colored labels",null,"Added macro buttons to the Simulation tab; Added label colors to the worksheet tabs."]
[null,null,null,"2025-06-06",null,36,null,"Performed scenario analysis by changing the disutility from -0.119 to -0.19. \n\nPerformed additional OWSA by adding the probaiblity of naloxone prescribing without AD outreach. ",null,"Created an updated Tornado Diagram figure. "]

{"sheet":"User Navigation","index":1,"n_rows":26,"n_cols":4,"rows_kept":26,"cut":false,"hidden":false,"merged":[]}
[]
[null,"User Navigation"]
[]
[]
[null,"This model consists of the following worksheets: "]
[null,"Model Overview",null,"Provides an overview of the model"]
[null,"Analysis",null,"Centralized results and analysis summary"]
[null,"Parameters",null,"Inputs for the model are entered here"]
[null,"Decision Tree",null,"Outputs and visualization for the decision tree"]
[null,"Markov Model AD+",null,"Markov model with the intervention Academic Detailing"]
[null,"Markov Model AD-",null,"Markov model without the intervention Academic Detailing"]
[null,"OWSA",null,"One-way sensitivity analysis outputs & tornado diagram"]
[null,"Scenario Analyses",null,"Scenario analyses of AD effectiveness"]
[null,"Simulation",null,"Probabilistic sensitivity analysis "]
[null,"Mortality",null,"Baseline mortality rates from 2021 US Life Table. Opioid user mortality rates are based on a cohort with opioid-related inpatient withdrawal treatment."]
[null,"Survival Curve",null,"Digitized Kaplan-Meier plot to inform survival modeling"]
[]
[]
[]
[]
[null,"Worksheet labels",null,"Description"]
[null,"Red",null,"Results of the model"]
[null,"Blue",null,"Parameters table"]
[null,"Green",null,"Markov model for AD (+) and AD (-) strategies"]
[null,"Yellow",null,"Decision tree models (Each decision tree represented a different overdose state"]
[null,"Purple",null,"Supporting data"]

{"sheet":"Model Overview","index":2,"n_rows":2,"n_cols":2,"rows_kept":2,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Integrated hybrid model"]

{"sheet":"Scenario Analyses","index":3,"n_rows":13,"n_cols":6,"rows_kept":13,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Scenario Analyses"]
[]
[]
[null,"Scenario - AD Effectiveness","Incremental Cost","Incremental QALY","ICER","iNMB"]
[null,"Base Case - AD Effectiveness = 80%",{"$f":"inc.cost","v":308.66895355330144},{"$f":"inc.qaly","v":0.60095182699069305},{"$f":"baseICER","v":513.63343897127686},{"$f":"baseNMB","v":29738.922395981353}]
[]
[null,"Scenario 1 - AD Effectiveness = 90%",351.5672880228185,0.70264374515260108,500.34927436301973,34780.619969607236]
[null,"Scenario 2 - AD Effectiveness = 50%",184.88305659418438,0.30595329644437363,604.28522504185071,15112.781765624497]
[null,"Scenario - Disutility","Incremental Cost","Incremental QALY","ICER","iNMB"]
[null,"Base Case - Disutility due to long-term effects of severe hypoxia  = -0.119",{"$f":"inc.cost","v":308.66895355330144},{"$f":"inc.qaly","v":0.60095182699069305},{"$f":"baseICER","v":513.63343897127686},{"$f":"baseNMB","v":29738.922395981353}]
[]
[null,"Scenario 3 - Disutility due to long-term effects of severe hypoxia  = -0.19",308.66895355330144,0.59047538192117521,522.74652424799456,29215.10014250546]

{"sheet":"Analysis","index":4,"n_rows":9,"n_cols":15,"rows_kept":9,"cut":false,"hidden":false,"merged":[]}
["Results (deterministic)",null,null,null,null,null,null,"Results (probabilistic)"]
[]
[null,"Treatment","Cost","Life Years","QALYs",null,null,null,"Treatment","Cost","cost (SE)","Life Years","Life Years (SE)","QALYs","QALYs (SE)"]
[]
[null,"AD +",{"$f":"ad.cost","v":6280.025807533536},{"$f":"ad.ly","v":35.863356137622802},{"$f":"ad.qaly","v":16.520945104213482},null,null,null,"AD +",{"$f":"Simulation!CV5008","v":6124.6837346657676},null,{"$f":"Simulation!CW5008","v":36.150568007576858},null,{"$f":"Simulation!CX5008","v":16.589048209725931}]
[null,"AD -",{"$f":"std.cost","v":5971.3568539802345},{"$f":"std.ly","v":34.032540564762769},{"$f":"std.qaly","v":15.919993277222789},null,null,null,"AD -",{"$f":"Simulation!CZ5008","v":5832.9678616758292},null,{"$f":"Simulation!DA5008","v":34.392030756175622},null,{"$f":"Simulation!DB5008","v":16.008801021432419}]
[null,null,{"$f":"C5-C6","v":308.66895355330144},{"$f":"D5-D6","v":1.8308155728600326},{"$f":"E5-E6","v":0.60095182699069305},null,null,null,null,{"$f":"J5-J6","v":291.71587298993836},null,null,null,{"$f":"N5-N6","v":0.58024718829351229}]
[null,"ICERs:",{"$f":"(C5-C6)/(E5-E6)","v":513.63343897127686},null,"per QALY",null,null,null,"ICERs:",{"$f":"(J5-J6)/(N5-N6)","v":502.74413883480429},null,null,null,"per QALY"]
[null,"iNMB",{"$f":"E7*50000-C7","v":29738.922395981353},null,null,null,null,null,"iNMB (95% CrI)",{"$f":"_xlfn.CONCAT(ROUND(Simulation!DI5008,0),\" (95% CrI: \",ROUND(Simulation!DI5010,0), \", \", ROUND(Simulation!DI5011,0), \")\")","v":"28721 (95% CrI: 27835, 29606)"}]

{"sheet":"Parameters","index":5,"n_rows":110,"n_cols":11,"rows_kept":110,"cut":false,"hidden":false,"merged":[[6,3,6,7]]}
[null,null,null,null,null,null,null,null,null,null,false]
[null,null,null,null,null,null,null,null,null,"Probabilistic?",0]
[]
[]
[]
[]
[null,null,null,"Probabilistic Sensitivity Analysis "]
["Name","live' value","probabilistic","deterministic","standard error","distribution","alpha","beta","Description"]
["Miscellaneous Variables"]
["CohortSize",1]
[]
["cDR",0.03,null,null,null,null,null,null,"Monthly cost discounting rate, assuming 3.0% yearly rate"]
["oDR",0.03,null,null,null,null,null,null,"Monthly outcome discounting rate, assuming 3.0% yearly rate "]
["Decision Tree Probability Variables"]
["p.ad_nal_yes1",{"$f":"IF($K$2=0,D15,C15)","v":0.8},{"$f":"BETAINV(RAND(),G15,H15)","v":0.7937707261093967},0.8,{"$f":"SQRT(G15*H15/((G15+H15)^2*(G15+H15+1)))","v":3.9801487608399563E-2},"Beta",{"$f":"100*D15","v":80},{"$f":"100-G15","v":20},"Probability of naloxone prescription after AD education"]
["p.od_yes1",0.85,{"$f":"BETAINV(RAND(),G16,H16)","v":0.87558082255837266},0.85,{"$f":"SQRT(G16*H16/((G16+H16)^2*(G16+H16+1)))","v":3.5529934388115081E-2},"Beta",{"$f":"100*D16","v":85},{"$f":"100-G16","v":15},"Probability of witnessing an overdose"]
["p.used_yes1",0.8,0.79631472916975576,0.8,3.9801487608399563E-2,"Beta",80,20,"Probability of naloxone being used"]
["p.amb_yes1",0.6,0.62087699271617369,0.6,4.874666782214325E-2,"Beta",60,40,"Probability ambulance being called"]
["p.live_yes1",0.97899999999999998,0.9784525766000276,0.97899999999999998,1.4267251152396014E-2,"Beta",97.899999999999991,2.1000000000000085,"Probability of surviving "]
["p.nal_ems_live_yes1",0.89900000000000002,0.81893657913145301,0.89900000000000002,2.998332870112989E-2,"Beta",89.9,{"$f":"100-G20","v":10.099999999999994},"Probability of surviving when naloxone is not administered"]
["p.nal_yes1",0.2,0.26358756932702943,0.2,3.9801487608399563E-2,"Beta",20,80,"Probability of naloxone prescription after no AD education"]
["p.ad_nal_yes2",0.8,{"$f":"BETAINV(RAND(),G22,H22)","v":0.83826258131633735},0.8,{"$f":"SQRT(G22*H22/((G22+H22)^2*(G22+H22+1)))","v":3.9801487608399563E-2},"Beta",{"$f":"100*D22","v":80},{"$f":"100-G22","v":20},"Probability of naloxone prescription after AD education"]
["p.od_yes2",0.85,{"$f":"BETAINV(RAND(),G23,H23)","v":0.85728495042241271},0.85,{"$f":"SQRT(G23*H23/((G23+H23)^2*(G23+H23+1)))","v":3.5529934388115081E-2},"Beta",{"$f":"100*D23","v":85},{"$f":"100-G23","v":15},"Probability of witnessing an overdose"]
["p.used_yes2",0.8,0.77969714274451674,0.8,3.9801487608399563E-2,"Beta",80,20,"Probability of naloxone being used"]
["p.amb_yes2",0.6,0.5454413840112754,0.6,4.874666782214325E-2,"Beta",60,40,"Probability ambulance being called"]
["p.live_yes2",0.97899999999999998,0.97243429440876406,0.97899999999999998,1.4267251152396014E-2,"Beta",97.899999999999991,2.1000000000000085,"Probability of surviving "]
["p.nal_ems_live_yes2",0.89900000000000002,0.94810219752455138,0.89900000000000002,2.998332870112989E-2,"Beta",89.9,{"$f":"100-G27","v":10.099999999999994},"Probability of surviving when naloxone is not administered"]
["p.nal_yes2",0.2,0.28673508237727285,0.2,3.9801487608399563E-2,"Beta",20,{"$f":"100-G28","v":80},"Probability of naloxone prescription after no AD education"]
["p.ad_nal_yes3",0.8,{"$f":"BETAINV(RAND(),G29,H29)","v":0.84209089464032627},0.8,{"$f":"SQRT(G29*H29/((G29+H29)^2*(G29+H29+1)))","v":3.9801487608399563E-2},"Beta",{"$f":"100*D29","v":80},{"$f":"100-G29","v":20},"Probability of naloxone prescription after AD education"]
["p.od_yes3",0.85,{"$f":"BETAINV(RAND(),G30,H30)","v":0.88381380771458939},0.85,{"$f":"SQRT(G30*H30/((G30+H30)^2*(G30+H30+1)))","v":3.5529934388115081E-2},"Beta",{"$f":"100*D30","v":85},{"$f":"100-G30","v":15},"Probability of witnessing an overdose"]
["p.used_yes3",0.8,0.72227523321138698,0.8,3.9801487608399563E-2,"Beta",80,20,"Probability of naloxone being used"]
["p.amb_yes3",0.6,0.62300413407987831,0.6,4.874666782214325E-2,"Beta",60,40,"Probability ambulance being called"]
["p.live_yes3",0.97899999999999998,0.96993878200004868,0.97899999999999998,1.4267251152396014E-2,"Beta",97.899999999999991,2.1000000000000085,"Probability of surviving "]
["p.nal_ems_live_yes3",0.89900000000000002,0.92207597089020954,0.89900000000000002,2.998332870112989E-2,"Beta",89.9,{"$f":"100-G34","v":10.099999999999994},"Probability of surviving when naloxone is not administered"]
["p.nal_yes3",0.2,0.15399713320614278,0.2,3.9801487608399563E-2,"Beta",20,{"$f":"100-G35","v":80},"Probability of naloxone prescription after no AD education"]
["Cost of Resource Values "]
["c.society",0,0,0,{"$f":"0.2*D37","v":0},"Gamma",{"$f":"(D37/E37)^2","v":{"$error":"#DIV/0!"}},{"$f":"(E37^2)/D37","v":{"$error":"#DIV/0!"}},"heroin user cost to society"]
["c.nal1",{"$f":"IF($K$2=0,D38,C38)","v":40},{"$f":"GAMMAINV(RAND(),G38,H38)","v":39.242998162102538},40,{"$f":"0.2*D38","v":8},"Gamma",{"$f":"(D38/E38)^2","v":25},{"$f":"(E38^2)/D38","v":1.6},"Cost of biannual naloxone kit "]
["c.EMS1",{"$f":"c.trans1+c.ED1","v":3969.73},{"$f":"GAMMAINV(RAND(),G39,H39)","v":2494.1686060745233},3969.73,{"$f":"0.2*D39","v":793.94600000000003},"Gamma",{"$f":"(D39/E39)^2","v":25},{"$f":"(E39^2)/D39","v":158.78919999999999},"Cost of EMS visit"]
["c.trans1",{"$f":"IF($K$2=0,D40,C40)","v":808},705.05538760196816,808,161.60000000000002,"Gamma",24.999999999999993,32.320000000000007,"Cost of EMS transport to hospital"]
["c.ED1",3161.73,4047.6662215682318,3161.73,632.346,"Gamma",25,126.46920000000001,"Emergency department care if transported"]
["c.AD1",64.81,68.383864297841086,64.81,12.962000000000002,"Gamma",25,2.5924000000000005,"academic detailing"]
["c.nal2",40,{"$f":"GAMMAINV(RAND(),G43,H43)","v":50.480332487422416},40,{"$f":"0.2*D43","v":8},"Gamma",{"$f":"(D43/E43)^2","v":25},{"$f":"(E43^2)/D43","v":1.6},"Cost of biannual naloxone kit "]
["c.EMS2",{"$f":"c.trans2+c.ED2","v":3969.73},{"$f":"GAMMAINV(RAND(),G44,H44)","v":3028.304543266428},3969.73,{"$f":"0.2*D44","v":793.94600000000003},"Gamma",{"$f":"(D44/E44)^2","v":25},{"$f":"(E44^2)/D44","v":158.78919999999999},"Cost of EMS visit"]
["c.trans2",{"$f":"IF($K$2=0,D45,C45)","v":808},737.17500389603924,808,161.60000000000002,"Gamma",24.999999999999993,32.320000000000007,"Cost of EMS transport to hospital"]
["c.ED2",3161.73,4511.3662526709695,3161.73,632.346,"Gamma",25,126.46920000000001,"Emergency department care if transported"]
["c.AD2",64.81,68.795688272013621,64.81,12.962000000000002,"Gamma",25,2.5924000000000005,"academic detailing"]
["c.nal3",40,{"$f":"GAMMAINV(RAND(),G48,H48)","v":43.196190137096636},40,{"$f":"0.2*D48","v":8},"Gamma",{"$f":"(D48/E48)^2","v":25},{"$f":"(E48^2)/D48","v":1.6},"Cost of biannual naloxone kit "]
["c.EMS3",{"$f":"c.trans3+c.ED3","v":3969.73},{"$f":"GAMMAINV(RAND(),G49,H49)","v":5183.7748111157616},3969.73,{"$f":"0.2*D49","v":793.94600000000003},"Gamma",{"$f":"(D49/E49)^2","v":25},{"$f":"(E49^2)/D49","v":158.78919999999999},"Cost of EMS visit"]
["c.trans3",{"$f":"IF($K$2=0,D50,C50)","v":808},823.43439352429834,808,161.60000000000002,"Gamma",24.999999999999993,32.320000000000007,"Cost of EMS transport to hospital"]
["c.ED3",3161.73,2538.2758722301955,3161.73,632.346,"Gamma",25,126.46920000000001,"Emergency department care if transported"]
["c.AD3",64.81,65.558985931264871,64.81,12.962000000000002,"Gamma",25,2.5924000000000005,"academic detailing"]
["c.discontinue1",0,0,0,0,"Gamma",0,0,"Costs for the discontinue1 state"]
["c.overdose1",{"$f":"D54","v":2121.3723},2577.6434124802254,{"$f":"cost.tcA1","v":2121.3723},424.27446000000003,"Gamma",25,84.854892000000007,"Costs for the overdose1 state"]
["c.overdose1_tcB",{"$f":"D55","v":2032.5623000000001},2205.1635618873838,{"$f":"cost.tcB1","v":2032.5623000000001},406.51246000000003,"Gamma",25,81.302492000000001]
["c.discontinue2",0,0,0,0,"Gamma",0,0,"Costs for the discontinue2 state"]
["c.overdose2",{"$f":"D57","v":2121.3723},1974.291248735216,{"$f":"cost.tcA2","v":2121.3723},424.27446000000003,"Gamma",25,84.854892000000007,"Costs for the overdose2 state"]
["c.overdose2_tcB",{"$f":"D58","v":2032.5623000000001},1868.185782460318,{"$f":"cost.tcB2","v":2032.5623000000001},406.51246000000003,"Gamma",25,81.302492000000001]
["c.discontinue3",0,0,0,0,"Gamma",0,0,"Costs for the discontinue3 state"]
["c.overdose3",{"$f":"D60","v":2121.3723},2048.2384703149301,{"$f":"cost.tcA3","v":2121.3723},424.27446000000003,"Gamma",25,84.854892000000007,"Costs for the overdose3 state"]
["c.overdose3_tcB",2121.3723,2522.607667304997,{"$f":"cost.tcA3","v":2121.3723},424.27446000000003,"Gamma",25,84.854892000000007]
["c.death",0,0,0,0,"Gamma",0,0,"Costs for the death state"]
["Utility Variables "]
["u.heroin1",{"$f":"IF($K$2=0,D64,C64)","v":0.81699999999999995},{"$f":"BETAINV(RAND(),G64,H64)","v":0.83791188022499496},0.81699999999999995,3.8474757058272246E-2,"Beta",81.699999999999989,18.300000000000011,"Utility for the heroin1 state"]
["u.heroin2",0.81699999999999995,0.815554073545951,0.81699999999999995,3.8474757058272246E-2,"Beta",81.699999999999989,18.300000000000011,"Utility for the heroin2 state"]
["u.heroin3",0.81699999999999995,0.82647183485164666,0.81699999999999995,3.8474757058272246E-2,"Beta",81.699999999999989,18.300000000000011,"Utility for the heroin3 state"]
["u.discontinue1",0.875,0.89846056059306945,0.875,3.2907761881951318E-2,"Beta",87.5,12.5,"Utility for the discontinue1 state"]
["u.discontinue2",0.875,0.89755422912482596,0.875,3.2907761881951318E-2,"Beta",87.5,12.5,"Utility for the discontinue2 state"]
["u.discontinue3",0.875,0.88860471917132522,0.875,3.2907761881951318E-2,"Beta",87.5,12.5,"Utility for the discontinue3 state"]
["u.overdose1",{"$f":"D70","v":0.79368051000000006},{"$f":"BETAINV(RAND(),G70,H70)","v":0.77898862722365303},{"$f":"utility.tcA1","v":0.79368051000000006},4.0265426051518387E-2,"Beta",79.368051000000008,20.631948999999992,"Utility for the overdose1 state"]
["u.overdose2",{"$f":"D71","v":0.79368051000000006},{"$f":"BETAINV(RAND(),G71,H71)","v":0.82273570437032884},{"$f":"utility.tcA2","v":0.79368051000000006},4.0265426051518387E-2,"Beta",79.368051000000008,20.631948999999992,"Utility for the overdose2 state"]
["u.overdose3",0.79368051000000006,0.80696298714268722,{"$f":"utility.tcA3","v":0.79368051000000006},4.0265426051518387E-2,"Beta",79.368051000000008,20.631948999999992,"Utility for the overdose3 state"]
["u.overdose1_tcB",0.77356962200000012,0.74739333635627947,{"$f":"utility.tcB1","v":0.77356962200000012},4.1644376311859119E-2,"Beta",77.356962200000012,22.643037799999988]
["u.overdose2_tcB",0.77356962200000012,0.81727719083535022,{"$f":"utility.tcB2","v":0.77356962200000012},4.1644376311859119E-2,"Beta",77.356962200000012,22.643037799999988]
["u.overdose3_tcB",0.77356962200000012,0.76752182329462049,{"$f":"utility.tcB3","v":0.77356962200000012},4.1644376311859119E-2,"Beta",77.356962200000012,22.643037799999988]
["u.live1",{"$f":"IF($K$2=0,D76,C76)","v":0.93625000000000003},0.94997405797251022,0.93625000000000003,2.4309460632388039E-2,"Beta",93.625,6.375,"utility for survival "]
["u.live2",{"$f":"IF($K$2=0,D77,C77)","v":0.93625000000000003},{"$f":"BETAINV(RAND(),G77,H77)","v":0.95775380469987026},0.93625000000000003,{"$f":"SQRT(G77*H77/((G77+H77)^2*(G77+H77+1)))","v":2.4309460632388039E-2},"Beta",{"$f":"100*D77","v":93.625},{"$f":"100-G77","v":6.375},"utility for survival "]
["u.live3",0.93625000000000003,{"$f":"BETAINV(RAND(),G78,H78)","v":0.95817855948013619},0.93625000000000003,{"$f":"SQRT(G78*H78/((G78+H78)^2*(G78+H78+1)))","v":2.4309460632388039E-2},"Beta",{"$f":"100*D78","v":93.625},{"$f":"100-G78","v":6.375},"utility for survival "]
["u.death",0,0,0,0,"Beta",0,100,"Utility for death"]
["Markov Parameters (Long Term Survival)"]
["tpheroin_OD1",0.09,0.11935429227598726,0.09,2.8476149478272355E-2,"Beta",9,91,"Opioid Use --> 1st Overdose"]
["tpheroin_DC1",0.06,5.209587602165499E-2,0.06,2.3630823971756854E-2,"Beta",6,94,"Opioid Use --> Discontinue opioid use 1"]
["tpOD1_heroin1",0.90915999999999997,0.90141345554010754,{"$f":"1-'Decision Tree 1'!G45-D85","v":0.90915999999999997},2.8595522463324488E-2,"Beta",90.915999999999997,9.0840000000000032,"1st Overdose --> Resume Opioid Use 1"]
["tpOD1_heroin1_tcB",0.884552,0.85836804493285013,{"$f":"1-death.tcB-D85","v":0.884552},3.1797589935449039E-2,"Beta",88.455200000000005,11.544799999999995]
["tpOD1_DC2",6.2E-2,6.2652399265507919E-2,6.2E-2,2.3995874232834689E-2,"Beta",6.2,93.8,"1st Overdose --> Discontinue Opioid Use 2"]
["tpOD1_death",0.06,7.1400231375316703E-2,0.06,2.3630823971756854E-2,"Beta",6,94,"1st Overdose --> Death"]
["tpOD1_death_tcB",5.3448000000000002E-2,5.5826175311226467E-2,{"$f":"death.tcB","v":5.3448000000000002E-2},2.2380886314836233E-2,"Beta",5.3448000000000002,94.655199999999994]
["tpheroin1_OD2",0.22,0.17755778172476688,0.22,4.1219047793345481E-2,"Beta",22,78,"Resume Opioid Use 1--> 2nd Overdose"]
["tpheroin_death",9.5000000000000001E-2,0.13807297903093052,9.5000000000000001E-2,2.9175976826190005E-2,"Beta",9.5,90.5,"Resume Opioid Use 1--> Death"]
["tpheroin1_DC2",0.06,4.2812158568033991E-2,0.06,2.3630823971756854E-2,"Beta",6,94,"Resume Opioid Use 1-->  Discontinue Opioid use 2"]
["tpOD2_heroin2",0.90915999999999997,0.91902966479442527,{"$f":"1-D93-'Decision Tree 1'!G45","v":0.90915999999999997},2.8595522463324488E-2,"Beta",90.915999999999997,9.0840000000000032,"2nd Overdose --> Resume Opioid Use 2"]
["tpOD2_heroin2_tcB",0.884552,0.86841063524426465,{"$f":"1-death.tcB-D93","v":0.884552},3.1797589935449039E-2,"Beta",88.455200000000005,11.544799999999995,"2nd Overdose --> Resume Opioid Use 2"]
["tpOD2_DC3",6.2E-2,6.4580175763139014E-2,6.2E-2,2.3995874232834689E-2,"Beta",6.2,93.8,"2nd Overdose --> Discontinue Opioid Use 3"]
["tpOD2_death",7.3999999999999996E-2,6.3781050751747642E-2,7.3999999999999996E-2,2.6047177304739842E-2,"Beta",7.3999999999999995,92.6,"2nd Overdose --> Death"]
["tpOD2_death_tcB",5.3448000000000002E-2,7.928175505846613E-2,{"$f":"death.tcB","v":5.3448000000000002E-2},2.2380886314836233E-2,"Beta",5.3448000000000002,94.655199999999994,"2nd Overdose --> Death"]
["tpheroin2_OD3",0.34,0.26810103827384602,0.34,4.7135784476529316E-2,"Beta",34,66,"Resume Opioid Use 2--> 3rd Overdose"]
["tpheroin_death",9.5000000000000001E-2,9.5293733174426021E-2,9.5000000000000001E-2,2.9175976826190005E-2,"Beta",9.5,90.5,"Resume Opioid Use 2--> Dealth"]
["tpheroin2_DC3",0.06,3.9873514173200973E-2,0.06,2.3630823971756854E-2,"Beta",6,94,"Resume Opioid Use 2-->  Discontinue opioid use 3"]
["tpOD3_heroin2",0.90915999999999997,0.93912137654984673,{"$f":"1-D101-'Decision Tree 1'!G45","v":0.90915999999999997},2.8595522463324488E-2,"Beta",90.915999999999997,9.0840000000000032,"3rd Overdose --> Resume Opioid Use 2"]
["tpOD3_heroin2_tcB",0.884552,0.90479278608888691,{"$f":"1-death.tcB-D101","v":0.884552},3.1797589935449039E-2,"Beta",88.455200000000005,11.544799999999995,"3rd Overdose --> Resume Opioid Use 2"]
["tpOD3_DC3",6.2E-2,4.6951453607992924E-2,6.2E-2,2.3995874232834689E-2,"Beta",6.2,93.8,"3rd Overdose --> Discontinue Opioid Use 3"]
["tpOD3_death",7.3999999999999996E-2,7.6320729142912103E-2,7.3999999999999996E-2,2.6047177304739842E-2,"Beta",7.3999999999999995,92.6,"3rd Overdose --> Death"]
["tpOD3_death_tcB",5.3448000000000002E-2,7.6217355402966147E-2,{"$f":"death.tcB","v":5.3448000000000002E-2},2.2380886314836233E-2,"Beta",5.3448000000000002,94.655199999999994]
["tpDC1_heroin",7.0000000000000007E-2,7.1588222536525858E-2,7.0000000000000007E-2,2.5388077033236381E-2,"Beta",7.0000000000000009,93,"Discontinue Opioid use 1 --> Opioid Use"]
["tpDC1_DC1",0.92893519014585757,0.93025598314767111,{"$f":"1-Mortality!C24-D104","v":0.92893519014585757},2.5565796042224913E-2,"Beta",92.893519014585763,7.1064809854142368,"Discontinue Opioid use 1 -->  Discontinue Opioid use 1"]
["tpDC2_heroin",7.0000000000000007E-2,3.6185094130206284E-2,7.0000000000000007E-2,2.5388077033236381E-2,"Beta",7.0000000000000009,93,"Discontinue Opioid use 2 --> Resume Opioid Use 1"]
["tpDC2_DC2",0.92893519014585757,0.94248201610247817,{"$f":"1-D106-Mortality!C24","v":0.92893519014585757},2.5565796042224913E-2,"Beta",92.893519014585763,7.1064809854142368,"Discontinue Opioid use 2 --> Discontinue Opioid use 2"]
["tpDC3_heroin2",7.0000000000000007E-2,4.2556012437890117E-2,7.0000000000000007E-2,2.5388077033236381E-2,"Beta",7.0000000000000009,93,"Discontinue Opioid use 3 --> Resume Opioid Use 2"]
["tpDC3_DC3",0.92893519014585757,0.92621656805655317,{"$f":"1-D108-Mortality!C24","v":0.92893519014585757},2.5565796042224913E-2,"Beta",92.893519014585763,7.1064809854142368,"Discontinue Opioid use 3 --> Discontinue Opioid use 3"]
["add_death",7.4999999999999997E-3,6.6793783804769413E-3,7.4999999999999997E-3,8.5848992451574499E-3,"Beta",0.75,99.25,"Additional death rate due to opiod use "]

{"sheet":"OWSA","index":6,"n_rows":24,"n_cols":22,"rows_kept":24,"cut":false,"hidden":false,"merged":[]}
["Order","Decision tree parameters","Base-case value","Lower Limit","Upper Limit","Base NMB","Base case ICER","Low Incremental Cost","High Incremental Cost","Low Incremental QALY","High Incremental QALY","Low NMB","High NMB","Low ICER","High ICER",null,"NMB Spread",null,"ICER Spread",null,"Line X","Line Y"]
[1,"Probability, Survival when naloxone is administered",0.97899999999999998,{"$f":"0.8*C2","v":0.78320000000000001},1,{"$f":"baseNMB","v":29738.922395981353},{"$f":"baseICER","v":513.63343897127686},-109,397,-0.52,0.85,-24998.854284937945,40202.517860850618,213.77462175508214,480.91549726755909,null,{"$f":"ABS(L2-M2)","v":65201.372145788562},null,{"$f":"ABS(N2-O2)","v":267.14087551247695},null,0,0]
[2,"Probability, Survival when naloxone is not administered",0.89900000000000002,0.78,0.94,29738.922395981353,513.63343897127686,588,200,1.38,0.32,65670.318444283635,15102.769484270413,436.65118071202795,645.2156849167626,null,50567.54896001322,null,208.56450420473465,null,0,17]
[3,"Probability, Emergency medical services called",0.6,0.3,0.8,29738.922395981353,513.63343897127686,258,286,0.92,0.42,43770.817846590347,19723.844874628376,288.69783800512391,703.42617259366182,null,24046.972971961972,null,414.7283345885379]
[4,"Probability, First overdose event",0.09,0.02,0.1,29738.922395981353,513.63343897127686,111,331,0.22,0.66,10266.438743824303,31410.297492348356,523.45293436949817,512.78735333172449,null,21143.858748524053,null,10.665581037773677]
[11,"Probability, Naloxone prescription after AD outreach",0.8,0.5,0.9,29738.922395981353,513.63343897127686,328,309,0.66,0.61,15112.781765624497,34780.619969607236,604.28522504185071,500.34927436301973,null,19667.838203982741,null,103.93595067883098]
[5,"Probability, Witnessing an overdose",0.85,0.32,0.94,29738.922395981353,513.63343897127686,222,314,0.95,0.56999999999999995,45263.146152253597,26953.138105265381,240.94670128664137,566.10976732613415,null,18310.008046988216,null,325.16306603949278]
[6,"Probability, Second overdose event",0.22,0.05,0.3,29738.922395981353,513.63343897127686,177,337,0.41,0.66,19395.272452060446,31561.994634332586,444.16758066963445,520.07528128594913,null,12166.72218227214,null,75.907700616314685]
[9,"Probability, Opioid use state to Discontinuation state",0.06,0.01,0.1,29738.922395981353,513.63343897127686,446,247,0.73,0.56000000000000005,35354.522769417141,26155.865694276647,618.68399176110313,458.79445654619758,null,9198.6570751404943,null,159.88953521490555]
[8,"Probability, Subsequent overdose event",0.34,0.27,0.6,29738.922395981353,513.63343897127686,264,493,0.57999999999999996,0.76,27645.712388046639,35821.442890235936,466.32595091081919,667.02895837271296,null,8175.7305021892971,null,200.70300746189378]
[20,"Probability, Naloxone prescription without AD outreach",0.2,0.16,0.24,29738.922395981353,513.63343897127686,null,null,null,null,31286.496045320775,28183,509.18898806049248,519,null,3103.496045320775,null,9.811011939507523]
[12,"Utility, Alive",0.93625000000000003,{"$f":"0.8*C12","v":0.74900000000000011},1,29738.922395981353,513.63343897127686,314,314,0.6,0.64,28357.433424667215,30209.255757376788,538.38667964120771,505.71747010495557,null,1851.8223327095729,null,32.66920953625214]
[13,"Probability, Discontinuation state to Opioid use state ",7.0000000000000007E-2,5.6000000000000001E-2,8.4000000000000005E-2,29738.922395981353,513.63343897127686,294,331,0.61,0.64,28802.589429791537,30519.868371599292,497.43812924236448,527.45343082701731,null,1717.2789418077555,null,30.015301584652832]
[10,"Probability, Overdose state to Discontinuation state",6.2E-2,2.8000000000000001E-2,0.1,29738.922395981353,513.63343897127686,357,338,0.63,0.72,30341.555437747447,29084.384708430545,531.11677101623991,496.17830924406991,null,1257.170729316902,null,34.938461772170001]
[7,"Probability, Naloxone administered",0.8,0.7,0.9,29738.922395981353,513.63343897127686,271,357,0.52,0.73,30363.975752099868,29112.459557890823,510.83568663361626,516.55654294904343,null,1251.5161942090454,null,5.7208563154271701]
[14,"Utility associated with Opioid use state",0.81699999999999995,0.78600000000000003,0.84499999999999997,29738.922395981353,513.63343897127686,314,314,0.61,0.64,29206.164862309273,30220.122748975988,522.90477981178594,505.53745552878928,null,1013.9578866667143,null,17.367324282996663]
[15,"Utility associated with Discontinuation state",0.875,0.85399999999999998,0.89300000000000002,29738.922395981353,513.63343897127686,314,314,0.62,0.63,29499.465678470508,29944.171010990787,517.75959375480136,510.14872308691878,null,444.70533252027963,null,7.6108706678825797]
[17,"Cost, Acdaemic detailing outreach visit",64.81,52,78,29738.922395981353,513.63343897127686,301,327,0.63,0.63,29751.882139902005,29725.5782100084,492.06807659347953,535.83852326193403,null,26.303929893605527,null,43.770446668454497]
[19,"Cost, Naloxone 4 mg (Narcan®) Nasal Spray Kit",40,32,48,29738.922395981353,513.63343897127686,308,319,0.63,0.63,29743.950758291383,29733.894033671317,505.26610887227326,522.00076907029097,null,10.056724620066234,null,16.734660198017707]
[16,"Cost, Emergency medical services transportation and visit",3969.73,{"$f":"0.8*C20","v":3175.7840000000001},{"$f":"1.2*C20","v":4763.6759999999995},29738.922395981353,513.63343897127686,269,358,0.63,0.63,29738.922395981353,29738.922395981353,513.63343897127686,513.63343897127686,null,0,null,0]
[" "]
[]
[null,null,null,null,null,null,null,null,null,null,null,"Minimum iNMB","Maximum iNMB","Minimum ICER","Maximum ICER"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"MIN(L2:M19)","v":-24998.854284937945},{"$f":"MAX(L2:M19)","v":65670.318444283635},{"$f":"MIN(N2:O19)","v":213.77462175508214},{"$f":"MAX(N2:O19)","v":703.42617259366182}]

{"sheet":"Decision Tree 1","index":7,"n_rows":71,"n_cols":10,"rows_kept":71,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,null,"Table 1. Decision Model Parameters"]
[null,null,"Probabilities"]
[null,null,null,"p.ad_nal_yes1",null,{"$f":"INDIRECT(D5)","v":0.8}]
[null,null,null,"p.od_yes1",null,{"$f":"INDIRECT(D6)","v":0.85}]
[null,null,null,"p.used_yes1",null,{"$f":"INDIRECT(D7)","v":0.8}]
[null,null,null,"p.amb_yes1",null,{"$f":"INDIRECT(D8)","v":0.6}]
[null,null,null,"p.live_yes1",null,{"$f":"INDIRECT(D9)","v":0.97899999999999998}]
[null,null,null,"p.nal_ems_live_yes1",null,{"$f":"INDIRECT(D10)","v":0.89900000000000002}]
[null,null,null,"p.nal_yes1",null,{"$f":"INDIRECT(D11)","v":0.2}]
[null,null,"Costs"]
[null,null,null,"c.nal1",null,{"$f":"INDIRECT(D13)","v":40}]
[null,null,null,"c.EMS1",null,{"$f":"INDIRECT(D14)","v":3969.73}]
[null,null,null,"c.trans1",null,{"$f":"INDIRECT(D15)","v":808}]
[null,null,null,"c.ED1",null,{"$f":"INDIRECT(D16)","v":3161.73}]
[null,null,null,"c.AD1",null,{"$f":"INDIRECT(D17)","v":64.81}]
[null,null,"QALYs"]
[null,null,null,"u.live-0.119",null,{"$f":"u.live1-0.119","v":0.81725000000000003}]
[null,null,null,"u.death",null,{"$f":"u.death","v":0}]
[]
[]
[]
[]
[null,null,"Table 2. Expected Path Costs and Probabilities"]
[null,null,"Decision Path",null,null,"Total Cost","Expected Probability","Expected Cost","Utility"]
[null,null,null,"Academic detailing"]
[null,null,null,1,null,{"$f":"c.AD1+c.nal1+c.EMS1","v":4074.54},{"$f":"p.ad_nal_yes1*p.od_yes1*p.used_yes1*p.amb_yes1*p.live_yes1","v":0.31954560000000004},{"$f":"F28*G28","v":1302.0013290240001},{"$f":"F19*G28","v":0.26114864160000006}]
[null,null,null,2,null,{"$f":"c.AD1+c.nal1+c.EMS1","v":4074.54},{"$f":"p.ad_nal_yes1*p.od_yes1*p.used_yes1*p.amb_yes1*(1-p.live_yes1)","v":6.8544000000000061E-3},{"$f":"F29*G29","v":27.928526976000025},{"$f":"u.death*G29","v":0}]
[null,null,null,3,null,{"$f":"c.AD1 + c.nal1","v":104.81},{"$f":"p.ad_nal_yes1*p.od_yes1*p.used_yes1*(1-p.amb_yes1)*p.live_yes1","v":0.21303040000000001},22.327716224000003,{"$f":"F19*G30","v":0.17409909440000002}]
[null,null,null,4,null,{"$f":"c.AD1 + c.nal1","v":104.81},{"$f":"p.ad_nal_yes1*p.od_yes1*p.used_yes1*(1-p.amb_yes1)*(1-p.live_yes1)","v":4.5696000000000044E-3},0.47893977600000048,{"$f":"u.death*G31","v":0}]
[null,null,null,5,null,{"$f":"c.AD1 + c.nal1 + c.EMS1","v":4074.54},{"$f":"p.ad_nal_yes1*p.od_yes1*(1-p.used_yes1)*p.amb_yes1*p.live_yes1","v":7.9886399999999996E-2},325.50033225599998,{"$f":"F19*G32","v":6.5287160400000002E-2}]
[null,null,null,6,null,{"$f":"c.AD1 + c.nal1 + c.EMS1","v":4074.54},{"$f":"p.ad_nal_yes1*p.od_yes1*(1-p.used_yes1)*p.amb_yes1*(1-p.live_yes1)","v":1.7136000000000013E-3},6.9821317440000055,{"$f":"u.death*G33","v":0}]
[null,null,null,7,null,{"$f":"c.AD1 + c.nal1","v":104.81},{"$f":"p.ad_nal_yes1*p.od_yes1*(1-p.used_yes1)*(1-p.amb_yes1)*p.live_yes1","v":5.3257599999999995E-2},5.5819290559999999,{"$f":"F19*G34","v":4.3524773599999997E-2}]
[null,null,null,8,null,{"$f":"c.AD1 + c.nal1","v":104.81},{"$f":"p.ad_nal_yes1*p.od_yes1*(1-p.used_yes1)*(1-p.amb_yes1)*(1-p.live_yes1)","v":1.1424000000000009E-3},0.11973494400000009,{"$f":"u.death*G35","v":0}]
[null,null,null,9,null,{"$f":"c.AD1 + c.nal1","v":104.81},{"$f":"p.ad_nal_yes1*(1 - p.od_yes1)* p.live_yes1","v":0.11748000000000001},12.313078800000001,{"$f":"F19*G36","v":9.6010530000000011E-2}]
[null,null,null,10,null,{"$f":"c.AD1 + c.nal1","v":104.81},{"$f":"p.ad_nal_yes1*(1 - p.od_yes1)*(1-p.live_yes1)","v":2.5200000000000027E-3},0.26412120000000028,{"$f":"u.death*G37","v":0}]
[null,null,null,11,null,{"$f":"c.AD1 + c.EMS1","v":4034.54},{"$f":"(1 - p.ad_nal_yes1) * p.od_yes1 * p.amb_yes1 * p.live_yes1","v":9.9857999999999961E-2},402.88109531999982,{"$f":"F19*G38","v":8.1608950499999972E-2}]
[null,null,null,12,null,{"$f":"c.AD1 + c.EMS1","v":4034.54},{"$f":"(1 - p.ad_nal_yes1) * p.od_yes1 * p.amb_yes1 *(1-p.live_yes1)","v":2.1420000000000011E-3},8.6419846800000037,{"$f":"u.death*G39","v":0}]
[null,null,null,13,null,{"$f":"c.AD1","v":64.81},{"$f":"(1 - p.ad_nal_yes1) * p.od_yes1 * (1 - p.amb_yes1)*p.nal_ems_live_yes1","v":6.1131999999999992E-2},3.9619649199999998,{"$f":"F19*G40","v":4.9960126999999993E-2}]
[null,null,null,14,null,{"$f":"c.AD1","v":64.81},{"$f":"(1 - p.ad_nal_yes1) * p.od_yes1 * (1 - p.amb_yes1) * (1 - p.nal_ems_live_yes1)","v":6.8679999999999974E-3},0.44511507999999983,{"$f":"u.death*G41","v":0}]
[null,null,null,15,null,{"$f":"c.AD1","v":64.81},{"$f":"(1 - p.ad_nal_yes1) * (1 - p.od_yes1) * p.nal_ems_live_yes1","v":2.6970000000000001E-2},1.7479257000000001,{"$f":"F19*G42","v":2.2041232500000001E-2}]
[null,null,null,16,null,{"$f":"c.AD1","v":64.81},{"$f":"(1 - p.ad_nal_yes1) * (1 - p.od_yes1) * (1 - p.nal_ems_live_yes1)","v":3.0299999999999993E-3},0.19637429999999995,{"$f":"u.death*G43","v":0}]
[null,null,null,null,null,"Expected probability of alive",{"$f":"G28+G30+G32+G34+G36+G38+G40+G42","v":0.97116000000000013}]
[null,null,null,null,null,"Expected probability of death",{"$f":"G29+G31+G33+G35+G37+G39+G41+G43","v":2.8840000000000011E-2}]
[null,null,null,"No Academic Detailing"]
[null,null,null,1,null,{"$f":"c.nal1 + c.EMS1","v":4009.73},{"$f":"p.nal_yes1 * p.od_yes1 * p.used_yes1 * p.amb_yes1 * p.live_yes1","v":7.988640000000001E-2},320.32289467200002,{"$f":"F19*G47","v":6.5287160400000016E-2}]
[null,null,null,2,null,{"$f":"c.nal1 + c.EMS1","v":4009.73},{"$f":"p.nal_yes1 * p.od_yes1 * p.used_yes1 * p.amb_yes1 * (1 - p.live_yes1)","v":1.7136000000000015E-3},6.8710733280000058,{"$f":"u.death*G48","v":0}]
[null,null,null,3,null,{"$f":"c.nal1","v":40},{"$f":"p.nal_yes1 * p.od_yes1 * p.used_yes1 * (1 - p.amb_yes1) * p.live_yes1","v":5.3257600000000002E-2},2.1303040000000002,{"$f":"F19*G49","v":4.3524773600000004E-2}]
[null,null,null,4,null,{"$f":"c.nal1","v":40},{"$f":"p.nal_yes1 * p.od_yes1 * p.used_yes1 * (1 - p.amb_yes1) * (1 - p.live_yes1)","v":1.1424000000000011E-3},4.5696000000000042E-2,{"$f":"u.death*G50","v":0}]
[null,null,null,5,null,{"$f":"c.nal1 + c.EMS1","v":4009.73},{"$f":"p.nal_yes1 * p.od_yes1 * (1 - p.used_yes1) * p.amb_yes1 * p.live_yes1","v":1.9971599999999999E-2},80.08072366799999,{"$f":"F19*G51","v":1.6321790100000001E-2}]
[null,null,null,6,null,{"$f":"c.nal1 + c.EMS1","v":4009.73},{"$f":"p.nal_yes1 * p.od_yes1 * (1 - p.used_yes1) * p.amb_yes1 * (1 - p.live_yes1)","v":4.2840000000000033E-4},1.7177683320000012,{"$f":"u.death*G52","v":0}]
[null,null,null,7,null,{"$f":"c.nal1","v":40},{"$f":"p.nal_yes1 * p.od_yes1 * (1 - p.used_yes1) * (1 - p.amb_yes1) * p.nal_ems_live_yes1","v":1.22264E-2},0.48905599999999999,{"$f":"F19*G53","v":9.9920254E-3}]
[null,null,null,8,null,{"$f":"c.nal1","v":40},{"$f":"p.nal_yes1 * p.od_yes1 * (1 - p.used_yes1) * (1 - p.amb_yes1) * (1 - p.nal_ems_live_yes1)","v":1.3735999999999996E-3},5.4943999999999979E-2,{"$f":"u.death*G54","v":0}]
[null,null,null,9,null,{"$f":"c.nal1","v":40},{"$f":"p.nal_yes1 * (1 - p.od_yes1) * p.live_yes1","v":2.9370000000000004E-2},1.1748000000000001,{"$f":"F19*G55","v":2.4002632500000003E-2}]
[null,null,null,10,null,{"$f":"c.nal1","v":40},{"$f":"p.nal_yes1 * (1 - p.od_yes1) * (1 - p.live_yes1)","v":6.3000000000000068E-4},2.5200000000000028E-2,{"$f":"u.death*G56","v":0}]
[null,null,null,11,null,{"$f":"c.EMS1","v":3969.73},{"$f":"(1 - p.nal_yes1) * p.od_yes1 * p.amb_yes1 * p.live_yes1","v":0.39943200000000001},1585.6371933600001,{"$f":"F19*G57","v":0.326435802}]
[null,null,null,12,null,{"$f":"c.EMS1","v":3969.73},{"$f":"(1 - p.nal_yes1) * p.od_yes1 * p.amb_yes1 * (1 - p.live_yes1)","v":8.5680000000000079E-3},34.012646640000028,{"$f":"u.death*G58","v":0}]
[null,null,null,13,null,0,{"$f":"(1 - p.nal_yes1) * p.od_yes1 * (1 - p.amb_yes1) * p.nal_ems_live_yes1","v":0.24452800000000002},0,{"$f":"F19*G59","v":0.19984050800000003}]
[null,null,null,14,null,0,{"$f":"(1 - p.nal_yes1) * p.od_yes1 * (1 - p.amb_yes1) * (1 - p.nal_ems_live_yes1)","v":2.7471999999999996E-2},0,{"$f":"u.death*G60","v":0}]
[null,null,null,15,null,0,{"$f":"(1 - p.nal_yes1) * (1 - p.od_yes1) * p.nal_ems_live_yes1","v":0.10788000000000002},0,{"$f":"F19*G61","v":8.8164930000000016E-2}]
[null,null,null,16,null,0,{"$f":"(1 - p.nal_yes1) * (1 - p.od_yes1) * (1 - p.nal_ems_live_yes1)","v":1.2120000000000001E-2},0,{"$f":"u.death*G62","v":0}]
[null,null,null,null,null,"Expected probability of alive",{"$f":"G47+G49+G51+G53+G55+G57+G59+G61","v":0.94655200000000006}]
[null,null,null,null,null,"Expected probability of death",{"$f":"G48+G50+G52+G54+G56+G58+G60+G62","v":5.3448000000000002E-2}]
[]
[]
[null,null,"Table 3. Costs, QALYs, and Incremental Cost-Effectiveness Ratio"]
[]
[null,null,null,"Strategy",null,"Total Costs","Total Utility","Incremental Cost","Incremental Utility","ICER"]
[null,null,null,"AD",null,{"$f":"SUM(H28:H43)","v":2121.3723},{"$f":"SUM(I28:I43)","v":0.79368051000000006}]
[null,null,null,"No AD",null,{"$f":"SUM(H47:H62)","v":2032.5623000000001},{"$f":"SUM(I47:I62)","v":0.77356962200000012},{"$f":"cost.tcA1-cost.tcB1","v":88.809999999999945},{"$f":"utility.tcA1-utility.tcB1","v":2.0110887999999938E-2},{"$f":"H71/I71","v":4416.0158417669181}]

{"sheet":"Decision Tree 2","index":8,"n_rows":71,"n_cols":10,"rows_kept":71,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,null,"Table 1. Decision Model Parameters"]
[null,null,"Probabilities"]
[null,null,null,"p.ad_nal_yes2",null,{"$f":"INDIRECT(D5)","v":0.8}]
[null,null,null,"p.od_yes2",null,{"$f":"INDIRECT(D6)","v":0.85}]
[null,null,null,"p.used_yes2",null,{"$f":"INDIRECT(D7)","v":0.8}]
[null,null,null,"p.amb_yes2",null,{"$f":"INDIRECT(D8)","v":0.6}]
[null,null,null,"p.live_yes2",null,{"$f":"INDIRECT(D9)","v":0.97899999999999998}]
[null,null,null,"p.nal_ems_live_yes2",null,{"$f":"INDIRECT(D10)","v":0.89900000000000002}]
[null,null,null,"p.nal_yes2",null,{"$f":"INDIRECT(D11)","v":0.2}]
[null,null,"Costs"]
[null,null,null,"c.nal2",null,{"$f":"INDIRECT(D13)","v":40}]
[null,null,null,"c.EMS2",null,{"$f":"INDIRECT(D14)","v":3969.73}]
[null,null,null,"c.trans2",null,{"$f":"INDIRECT(D15)","v":808}]
[null,null,null,"c.ED2",null,{"$f":"INDIRECT(D16)","v":3161.73}]
[null,null,null,"c.AD2",null,{"$f":"INDIRECT(D17)","v":64.81}]
[null,null,"QALYs"]
[null,null,null,"u.live-0.119",null,{"$f":"u.live2-0.119","v":0.81725000000000003}]
[null,null,null,"u.death",null,{"$f":"u.death","v":0}]
[]
[]
[]
[]
[null,null,"Table 2. Expected Path Costs and Probabilities"]
[null,null,"Decision Path",null,null,"Total Cost","Expected Probability","Expected Cost","Utility"]
[null,null,null,"Academic detailing"]
[null,null,null,1,null,{"$f":"c.AD2+c.nal2+c.EMS2","v":4074.54},{"$f":"p.ad_nal_yes2*p.od_yes2*p.used_yes2*p.amb_yes2*p.live_yes2","v":0.31954560000000004},{"$f":"F28*G28","v":1302.0013290240001},{"$f":"F19*G28","v":0.26114864160000006}]
[null,null,null,2,null,{"$f":"c.AD2+c.nal2+c.EMS2","v":4074.54},{"$f":"p.ad_nal_yes2*p.od_yes2*p.used_yes2*p.amb_yes2*(1-p.live_yes2)","v":6.8544000000000061E-3},{"$f":"F29*G29","v":27.928526976000025},{"$f":"u.death*G29","v":0}]
[null,null,null,3,null,{"$f":"c.AD2+ c.nal2","v":104.81},{"$f":"p.ad_nal_yes2*p.od_yes2*p.used_yes2*(1-p.amb_yes2)*p.live_yes2","v":0.21303040000000001},22.327716224000003,{"$f":"F19*G30","v":0.17409909440000002}]
[null,null,null,4,null,{"$f":"c.AD2+ c.nal2","v":104.81},{"$f":"p.ad_nal_yes2*p.od_yes2*p.used_yes2*(1-p.amb_yes2)*(1-p.live_yes2)","v":4.5696000000000044E-3},0.47893977600000048,{"$f":"u.death*G31","v":0}]
[null,null,null,5,null,{"$f":"c.AD2+ c.nal2 + c.EMS2","v":4074.54},{"$f":"p.ad_nal_yes2*p.od_yes2*(1-p.used_yes2)*p.amb_yes2*p.live_yes2","v":7.9886399999999996E-2},325.50033225599998,{"$f":"F19*G32","v":6.5287160400000002E-2}]
[null,null,null,6,null,{"$f":"c.AD2+ c.nal2 + c.EMS2","v":4074.54},{"$f":"p.ad_nal_yes2*p.od_yes2*(1-p.used_yes2)*p.amb_yes2*(1-p.live_yes2)","v":1.7136000000000013E-3},6.9821317440000055,{"$f":"u.death*G33","v":0}]
[null,null,null,7,null,{"$f":"c.AD2 + c.nal2","v":104.81},{"$f":"p.ad_nal_yes2*p.od_yes2*(1-p.used_yes2)*(1-p.amb_yes2)*p.live_yes2","v":5.3257599999999995E-2},5.5819290559999999,{"$f":"F19*G34","v":4.3524773599999997E-2}]
[null,null,null,8,null,{"$f":"c.AD2 + c.nal2","v":104.81},{"$f":"p.ad_nal_yes2*p.od_yes2*(1-p.used_yes2)*(1-p.amb_yes2)*(1-p.live_yes2)","v":1.1424000000000009E-3},0.11973494400000009,{"$f":"u.death*G35","v":0}]
[null,null,null,9,null,{"$f":"c.AD2 + c.nal2","v":104.81},{"$f":"p.ad_nal_yes2*(1 - p.od_yes2)* p.live_yes2","v":0.11748000000000001},12.313078800000001,{"$f":"F19*G36","v":9.6010530000000011E-2}]
[null,null,null,10,null,{"$f":"c.AD2 + c.nal2","v":104.81},{"$f":"p.ad_nal_yes2*(1 - p.od_yes2)*(1-p.live_yes2)","v":2.5200000000000027E-3},0.26412120000000028,{"$f":"u.death*G37","v":0}]
[null,null,null,11,null,{"$f":"c.AD2 + c.EMS2","v":4034.54},{"$f":"(1 - p.ad_nal_yes2) * p.od_yes2 * p.amb_yes2* p.live_yes2","v":9.9857999999999961E-2},402.88109531999982,{"$f":"F19*G38","v":8.1608950499999972E-2}]
[null,null,null,12,null,{"$f":"c.AD2 + c.EMS2","v":4034.54},{"$f":"(1 - p.ad_nal_yes2) * p.od_yes2 * p.amb_yes2*(1-p.live_yes2)","v":2.1420000000000011E-3},8.6419846800000037,{"$f":"u.death*G39","v":0}]
[null,null,null,13,null,{"$f":"c.AD2","v":64.81},{"$f":"(1 - p.ad_nal_yes2) * p.od_yes2 * (1 - p.amb_yes2)*p.nal_ems_live_yes2","v":6.1131999999999992E-2},3.9619649199999998,{"$f":"F19*G40","v":4.9960126999999993E-2}]
[null,null,null,14,null,{"$f":"c.AD2","v":64.81},{"$f":"(1 - p.ad_nal_yes2) * p.od_yes2 * (1 - p.amb_yes2) * (1 - p.nal_ems_live_yes2)","v":6.8679999999999974E-3},0.44511507999999983,{"$f":"u.death*G41","v":0}]
[null,null,null,15,null,{"$f":"c.AD2","v":64.81},{"$f":"(1 - p.ad_nal_yes2) * (1 - p.od_yes2) * p.nal_ems_live_yes2","v":2.6970000000000001E-2},1.7479257000000001,{"$f":"F19*G42","v":2.2041232500000001E-2}]
[null,null,null,16,null,{"$f":"c.AD2","v":64.81},{"$f":"(1 - p.ad_nal_yes2) * (1 - p.od_yes2) * (1 - p.nal_ems_live_yes2)","v":3.0299999999999993E-3},0.19637429999999995,{"$f":"u.death*G43","v":0}]
[null,null,null,null,null,"Expected probability of alive",{"$f":"G28+G30+G32+G34+G36+G38+G40+G42","v":0.97116000000000013}]
[null,null,null,null,null,"Expected probability of death",{"$f":"G29+G31+G33+G35+G37+G39+G41+G43","v":2.8840000000000011E-2}]
[null,null,null,"No Academic Detailing"]
[null,null,null,1,null,{"$f":"c.nal2 + c.EMS2","v":4009.73},{"$f":"p.nal_yes2 * p.od_yes2 * p.used_yes2 * p.amb_yes2 * p.live_yes2","v":7.988640000000001E-2},320.32289467200002,{"$f":"F19*G47","v":6.5287160400000016E-2}]
[null,null,null,2,null,{"$f":"c.nal2 + c.EMS2","v":4009.73},{"$f":"p.nal_yes2 * p.od_yes2 * p.used_yes2 * p.amb_yes2 * (1 - p.live_yes2)","v":1.7136000000000015E-3},6.8710733280000058,{"$f":"u.death*G48","v":0}]
[null,null,null,3,null,{"$f":"c.nal2","v":40},{"$f":"p.nal_yes2 * p.od_yes2 * p.used_yes2 * (1 - p.amb_yes2) * p.live_yes2","v":5.3257600000000002E-2},2.1303040000000002,{"$f":"F19*G49","v":4.3524773600000004E-2}]
[null,null,null,4,null,{"$f":"c.nal2","v":40},{"$f":"p.nal_yes2 * p.od_yes2 * p.used_yes2 * (1 - p.amb_yes2) * (1 - p.live_yes2)","v":1.1424000000000011E-3},4.5696000000000042E-2,{"$f":"u.death*G50","v":0}]
[null,null,null,5,null,{"$f":"c.nal2 + c.EMS2","v":4009.73},{"$f":"p.nal_yes2 * p.od_yes2 * (1 - p.used_yes2) * p.amb_yes2 * p.live_yes2","v":1.9971599999999999E-2},80.08072366799999,{"$f":"F19*G51","v":1.6321790100000001E-2}]
[null,null,null,6,null,{"$f":"c.nal2 + c.EMS2","v":4009.73},{"$f":"p.nal_yes2 * p.od_yes2 * (1 - p.used_yes2) * p.amb_yes2 * (1 - p.live_yes2)","v":4.2840000000000033E-4},1.7177683320000012,{"$f":"u.death*G52","v":0}]
[null,null,null,7,null,{"$f":"c.nal2","v":40},{"$f":"p.nal_yes2 * p.od_yes2 * (1 - p.used_yes2) * (1 - p.amb_yes2) * p.nal_ems_live_yes2","v":1.22264E-2},0.48905599999999999,{"$f":"F19*G53","v":9.9920254E-3}]
[null,null,null,8,null,{"$f":"c.nal2","v":40},{"$f":"p.nal_yes2 * p.od_yes2 * (1 - p.used_yes2) * (1 - p.amb_yes2) * (1 - p.nal_ems_live_yes2)","v":1.3735999999999996E-3},5.4943999999999979E-2,{"$f":"u.death*G54","v":0}]
[null,null,null,9,null,{"$f":"c.nal2","v":40},{"$f":"p.nal_yes2 * (1 - p.od_yes2) * p.live_yes2","v":2.9370000000000004E-2},1.1748000000000001,{"$f":"F19*G55","v":2.4002632500000003E-2}]
[null,null,null,10,null,{"$f":"c.nal2","v":40},{"$f":"p.nal_yes2 * (1 - p.od_yes2) * (1 - p.live_yes2)","v":6.3000000000000068E-4},2.5200000000000028E-2,{"$f":"u.death*G56","v":0}]
[null,null,null,11,null,{"$f":"c.EMS2","v":3969.73},{"$f":"(1 - p.nal_yes2) * p.od_yes2 * p.amb_yes2 * p.live_yes2","v":0.39943200000000001},1585.6371933600001,{"$f":"F19*G57","v":0.326435802}]
[null,null,null,12,null,{"$f":"c.EMS2","v":3969.73},{"$f":"(1 - p.nal_yes2) * p.od_yes2 * p.amb_yes2 * (1 - p.live_yes2)","v":8.5680000000000079E-3},34.012646640000028,{"$f":"u.death*G58","v":0}]
[null,null,null,13,null,0,{"$f":"(1 - p.nal_yes2) * p.od_yes2 * (1 - p.amb_yes2) * p.nal_ems_live_yes2","v":0.24452800000000002},0,{"$f":"F19*G59","v":0.19984050800000003}]
[null,null,null,14,null,0,{"$f":"(1 - p.nal_yes2) * p.od_yes2 * (1 - p.amb_yes2) * (1 - p.nal_ems_live_yes2)","v":2.7471999999999996E-2},0,{"$f":"u.death*G60","v":0}]
[null,null,null,15,null,0,{"$f":"(1 - p.nal_yes2) * (1 - p.od_yes2) * p.nal_ems_live_yes2","v":0.10788000000000002},0,{"$f":"F19*G61","v":8.8164930000000016E-2}]
[null,null,null,16,null,0,{"$f":"(1 - p.nal_yes2) * (1 - p.od_yes2) * (1 - p.nal_ems_live_yes2)","v":1.2120000000000001E-2},0,{"$f":"u.death*G62","v":0}]
[null,null,null,null,null,"Expected probability of alive",{"$f":"G47+G49+G51+G53+G55+G57+G59+G61","v":0.94655200000000006}]
[null,null,null,null,null,"Expected probability of death",{"$f":"G48+G50+G52+G54+G56+G58+G60+G62","v":5.3448000000000002E-2}]
[]
[]
[null,null,"Table 3. Costs, QALYs, and Incremental Cost-Effectiveness Ratio"]
[]
[null,null,null,"Strategy",null,"Total Costs","Total Utility","Incremental Cost","Incremental Utility","ICER"]
[null,null,null,"AD",null,{"$f":"SUM(H28:H43)","v":2121.3723},{"$f":"SUM(I28:I43)","v":0.79368051000000006}]
[null,null,null,"No AD",null,{"$f":"SUM(H47:H62)","v":2032.5623000000001},{"$f":"SUM(I47:I62)","v":0.77356962200000012},{"$f":"cost.tcA2-cost.tcB2","v":88.809999999999945},{"$f":"utility.tcA2-utility.tcB2","v":2.0110887999999938E-2},{"$f":"H71/I71","v":4416.0158417669181}]

{"sheet":"Decision Tree 3","index":9,"n_rows":71,"n_cols":10,"rows_kept":71,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,null,"Table 1. Decision Model Parameters"]
[null,null,"Probabilities"]
[null,null,null,"p.ad_nal_yes3",null,{"$f":"INDIRECT(D5)","v":0.8}]
[null,null,null,"p.od_yes3",null,{"$f":"INDIRECT(D6)","v":0.85}]
[null,null,null,"p.used_yes3",null,{"$f":"INDIRECT(D7)","v":0.8}]
[null,null,null,"p.amb_yes3",null,{"$f":"INDIRECT(D8)","v":0.6}]
[null,null,null,"p.live_yes3",null,{"$f":"INDIRECT(D9)","v":0.97899999999999998}]
[null,null,null,"p.nal_ems_live_yes3",null,{"$f":"INDIRECT(D10)","v":0.89900000000000002}]
[null,null,null,"p.nal_yes3",null,{"$f":"INDIRECT(D11)","v":0.2}]
[null,null,"Costs"]
[null,null,null,"c.nal3",null,{"$f":"INDIRECT(D13)","v":40}]
[null,null,null,"c.EMS3",null,{"$f":"INDIRECT(D14)","v":3969.73}]
[null,null,null,"c.trans3",null,{"$f":"INDIRECT(D15)","v":808}]
[null,null,null,"c.ED3",null,{"$f":"INDIRECT(D16)","v":3161.73}]
[null,null,null,"c.AD3",null,{"$f":"INDIRECT(D17)","v":64.81}]
[null,null,"QALYs"]
[null,null,null,"u.live",null,{"$f":"u.live3-0.119","v":0.81725000000000003}]
[null,null,null,"u.death",null,{"$f":"u.death","v":0}]
[]
[]
[]
[]
[null,null,"Table 2. Expected Path Costs and Probabilities"]
[null,null,"Decision Path",null,null,"Total Cost","Expected Probability","Expected Cost","Utility"]
[null,null,null,"Academic detailing"]
[null,null,null,1,null,{"$f":"c.AD3+c.nal3+c.EMS3","v":4074.54},{"$f":"p.ad_nal_yes3*p.od_yes3*p.used_yes3*p.amb_yes3*p.live_yes3","v":0.31954560000000004},{"$f":"F28*G28","v":1302.0013290240001},{"$f":"F19*G28","v":0.26114864160000006}]
[null,null,null,2,null,{"$f":"c.AD3+c.nal3+c.EMS3","v":4074.54},{"$f":"p.ad_nal_yes3*p.od_yes3*p.used_yes3*p.amb_yes3*(1-p.live_yes3)","v":6.8544000000000061E-3},{"$f":"F29*G29","v":27.928526976000025},{"$f":"u.death*G29","v":0}]
[null,null,null,3,null,{"$f":"c.AD3 + c.nal3","v":104.81},{"$f":"p.ad_nal_yes3*p.od_yes3*p.used_yes3*(1-p.amb_yes3)*p.live_yes3","v":0.21303040000000001},22.327716224000003,{"$f":"F19*G30","v":0.17409909440000002}]
[null,null,null,4,null,{"$f":"c.AD3 + c.nal3","v":104.81},{"$f":"p.ad_nal_yes3*p.od_yes3*p.used_yes3*(1-p.amb_yes3)*(1-p.live_yes3)","v":4.5696000000000044E-3},0.47893977600000048,{"$f":"u.death*G31","v":0}]
[null,null,null,5,null,{"$f":"c.AD3 + c.nal3+ c.EMS3","v":4074.54},{"$f":"p.ad_nal_yes3*p.od_yes3*(1-p.used_yes3)*p.amb_yes3*p.live_yes3","v":7.9886399999999996E-2},325.50033225599998,{"$f":"F19*G32","v":6.5287160400000002E-2}]
[null,null,null,6,null,{"$f":"c.AD3 + c.nal3+ c.EMS3","v":4074.54},{"$f":"p.ad_nal_yes3*p.od_yes3*(1-p.used_yes3)*p.amb_yes3*(1-p.live_yes3)","v":1.7136000000000013E-3},6.9821317440000055,{"$f":"u.death*G33","v":0}]
[null,null,null,7,null,{"$f":"c.AD3 + c.nal3","v":104.81},{"$f":"p.ad_nal_yes3*p.od_yes3*(1-p.used_yes3)*(1-p.amb_yes3)*p.live_yes3","v":5.3257599999999995E-2},5.5819290559999999,{"$f":"F19*G34","v":4.3524773599999997E-2}]
[null,null,null,8,null,{"$f":"c.AD3 + c.nal3","v":104.81},{"$f":"p.ad_nal_yes3*p.od_yes3*(1-p.used_yes3)*(1-p.amb_yes3)*(1-p.live_yes3)","v":1.1424000000000009E-3},0.11973494400000009,{"$f":"u.death*G35","v":0}]
[null,null,null,9,null,{"$f":"c.AD3 + c.nal3","v":104.81},{"$f":"p.ad_nal_yes3*(1 - p.od_yes3)* p.live_yes3","v":0.11748000000000001},12.313078800000001,{"$f":"F19*G36","v":9.6010530000000011E-2}]
[null,null,null,10,null,{"$f":"c.AD3 + c.nal3","v":104.81},{"$f":"p.ad_nal_yes3*(1 - p.od_yes3)*(1-p.live_yes3)","v":2.5200000000000027E-3},0.26412120000000028,{"$f":"u.death*G37","v":0}]
[null,null,null,11,null,{"$f":"c.AD3 + c.EMS3","v":4034.54},{"$f":"(1 - p.ad_nal_yes3) * p.od_yes3 * p.amb_yes3 * p.live_yes3","v":9.9857999999999961E-2},402.88109531999982,{"$f":"F19*G38","v":8.1608950499999972E-2}]
[null,null,null,12,null,{"$f":"c.AD3 + c.EMS3","v":4034.54},{"$f":"(1 - p.ad_nal_yes3) * p.od_yes3 * p.amb_yes3 *(1-p.live_yes3)","v":2.1420000000000011E-3},8.6419846800000037,{"$f":"u.death*G39","v":0}]
[null,null,null,13,null,{"$f":"c.AD3","v":64.81},{"$f":"(1 - p.ad_nal_yes3) * p.od_yes3 * (1 - p.amb_yes3)*p.nal_ems_live_yes3","v":6.1131999999999992E-2},3.9619649199999998,{"$f":"F19*G40","v":4.9960126999999993E-2}]
[null,null,null,14,null,{"$f":"c.AD3","v":64.81},{"$f":"(1 - p.ad_nal_yes3) * p.od_yes3 * (1 - p.amb_yes3) * (1 - p.nal_ems_live_yes3)","v":6.8679999999999974E-3},0.44511507999999983,{"$f":"u.death*G41","v":0}]
[null,null,null,15,null,{"$f":"c.AD3","v":64.81},{"$f":"(1 - p.ad_nal_yes3) * (1 - p.od_yes3) * p.nal_ems_live_yes3","v":2.6970000000000001E-2},1.7479257000000001,{"$f":"F19*G42","v":2.2041232500000001E-2}]
[null,null,null,16,null,{"$f":"c.AD3","v":64.81},{"$f":"(1 - p.ad_nal_yes3) * (1 - p.od_yes3) * (1 - p.nal_ems_live_yes3)","v":3.0299999999999993E-3},0.19637429999999995,{"$f":"u.death*G43","v":0}]
[null,null,null,null,null,"Expected probability of alive",{"$f":"G28+G30+G32+G34+G36+G38+G40+G42","v":0.97116000000000013}]
[null,null,null,null,null,"Expected probability of death",{"$f":"G29+G31+G33+G35+G37+G39+G41+G43","v":2.8840000000000011E-2}]
[null,null,null,"No Academic Detailing"]
[null,null,null,1,null,{"$f":"c.nal3 + c.EMS3","v":4009.73},{"$f":"p.nal_yes3 * p.od_yes3 * p.used_yes3 * p.amb_yes3 * p.live_yes3","v":7.988640000000001E-2},320.32289467200002,{"$f":"F19*G47","v":6.5287160400000016E-2}]
[null,null,null,2,null,{"$f":"c.nal3 + c.EMS3","v":4009.73},{"$f":"p.nal_yes3 * p.od_yes3 * p.used_yes3 * p.amb_yes3 * (1 - p.live_yes3)","v":1.7136000000000015E-3},6.8710733280000058,{"$f":"u.death*G48","v":0}]
[null,null,null,3,null,{"$f":"c.nal3","v":40},{"$f":"p.nal_yes3 * p.od_yes3 * p.used_yes3 * (1 - p.amb_yes3) * p.live_yes3","v":5.3257600000000002E-2},2.1303040000000002,{"$f":"F19*G49","v":4.3524773600000004E-2}]
[null,null,null,4,null,{"$f":"c.nal3","v":40},{"$f":"p.nal_yes3 * p.od_yes3 * p.used_yes3 * (1 - p.amb_yes3) * (1 - p.live_yes3)","v":1.1424000000000011E-3},4.5696000000000042E-2,{"$f":"u.death*G50","v":0}]
[null,null,null,5,null,{"$f":"c.nal3 + c.EMS3","v":4009.73},{"$f":"p.nal_yes3 * p.od_yes3 * (1 - p.used_yes3) * p.amb_yes3 * p.live_yes3","v":1.9971599999999999E-2},80.08072366799999,{"$f":"F19*G51","v":1.6321790100000001E-2}]
[null,null,null,6,null,{"$f":"c.nal3 + c.EMS3","v":4009.73},{"$f":"p.nal_yes3 * p.od_yes3 * (1 - p.used_yes3) * p.amb_yes3 * (1 - p.live_yes3)","v":4.2840000000000033E-4},1.7177683320000012,{"$f":"u.death*G52","v":0}]
[null,null,null,7,null,{"$f":"c.nal3","v":40},{"$f":"p.nal_yes3 * p.od_yes3 * (1 - p.used_yes3) * (1 - p.amb_yes3) * p.nal_ems_live_yes3","v":1.22264E-2},0.48905599999999999,{"$f":"F19*G53","v":9.9920254E-3}]
[null,null,null,8,null,{"$f":"c.nal3","v":40},{"$f":"p.nal_yes3 * p.od_yes3 * (1 - p.used_yes3) * (1 - p.amb_yes3) * (1 - p.nal_ems_live_yes3)","v":1.3735999999999996E-3},5.4943999999999979E-2,{"$f":"u.death*G54","v":0}]
[null,null,null,9,null,{"$f":"c.nal3","v":40},{"$f":"p.nal_yes3 * (1 - p.od_yes3) * p.live_yes3","v":2.9370000000000004E-2},1.1748000000000001,{"$f":"F19*G55","v":2.4002632500000003E-2}]
[null,null,null,10,null,{"$f":"c.nal3","v":40},{"$f":"p.nal_yes3 * (1 - p.od_yes3) * (1 - p.live_yes3)","v":6.3000000000000068E-4},2.5200000000000028E-2,{"$f":"u.death*G56","v":0}]
[null,null,null,11,null,{"$f":"c.EMS3","v":3969.73},{"$f":"(1 - p.nal_yes3) * p.od_yes3 * p.amb_yes3 * p.live_yes3","v":0.39943200000000001},1585.6371933600001,{"$f":"F19*G57","v":0.326435802}]
[null,null,null,12,null,{"$f":"c.EMS3","v":3969.73},{"$f":"(1 - p.nal_yes3) * p.od_yes3 * p.amb_yes3 * (1 - p.live_yes3)","v":8.5680000000000079E-3},34.012646640000028,{"$f":"u.death*G58","v":0}]
[null,null,null,13,null,0,{"$f":"(1 - p.nal_yes3) * p.od_yes3 * (1 - p.amb_yes3) * p.nal_ems_live_yes3","v":0.24452800000000002},0,{"$f":"F19*G59","v":0.19984050800000003}]
[null,null,null,14,null,0,{"$f":"(1 - p.nal_yes3) * p.od_yes3 * (1 - p.amb_yes3) * (1 - p.nal_ems_live_yes3)","v":2.7471999999999996E-2},0,{"$f":"u.death*G60","v":0}]
[null,null,null,15,null,0,{"$f":"(1 - p.nal_yes3) * (1 - p.od_yes3) * p.nal_ems_live_yes3","v":0.10788000000000002},0,{"$f":"F19*G61","v":8.8164930000000016E-2}]
[null,null,null,16,null,0,{"$f":"(1 - p.nal_yes3) * (1 - p.od_yes3) * (1 - p.nal_ems_live_yes3)","v":1.2120000000000001E-2},0,{"$f":"u.death*G62","v":0}]
[null,null,null,null,null,"Expected probability of alive",{"$f":"G47+G49+G51+G53+G55+G57+G59+G61","v":0.94655200000000006}]
[null,null,null,null,null,"Expected probability of death",{"$f":"G48+G50+G52+G54+G56+G58+G60+G62","v":5.3448000000000002E-2}]
[]
[]
[null,null,"Table 3. Costs, QALYs, and Incremental Cost-Effectiveness Ratio"]
[]
[null,null,null,"Strategy",null,"Total Costs","Total Utility","Incremental Cost","Incremental Utility","ICER"]
[null,null,null,"AD",null,{"$f":"SUM(H28:H43)","v":2121.3723},{"$f":"SUM(I28:I43)","v":0.79368051000000006}]
[null,null,null,"No AD",null,{"$f":"SUM(H47:H62)","v":2032.5623000000001},{"$f":"SUM(I47:I62)","v":0.77356962200000012},{"$f":"cost.tcA3-cost.tcB3","v":88.809999999999945},{"$f":"utility.tcA3-utility.tcB3","v":2.0110887999999938E-2},{"$f":"H71/I71","v":4416.0158417669181}]

{"sheet":"Markov trans matrix","index":10,"n_rows":32,"n_cols":15,"rows_kept":32,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,null,null,null,"Markov Transition Matrix (AD+)"]
[]
[null,null,null,null,null,"Heroin use","DC heroin 1","Overdose 1","Resume heroin use 1","DC heroin 2","Overdose 2","Resume heroin 2","DC heroin 3","OD 3+","Death"]
[null,null,null,null,"Heroin use",{"$f":"Mortality!$H$3","v":0.83558971427095563},{"$f":"Parameters!$D$104","v":7.0000000000000007E-2},0,0,0,0,0,0,0,0]
[null,null,null,null,"DC heroin 1",{"$f":"Parameters!$D$82","v":0.06},{"$f":"Parameters!$D$105","v":0.92893519014585757},0,0,0,0,0,0,0,0]
[null,null,null,null,"Overdose 1",{"$f":"Parameters!$D$81","v":0.09},0,0,0,0,0,0,0,0,0]
[null,null,null,null,"Resume heroin use 1",0,0,{"$f":"Parameters!$D$83","v":0.90915999999999997},{"$f":"Mortality!$J$3","v":0.70558971427095563},{"$f":"Parameters!$D$106","v":7.0000000000000007E-2},0,0,0,0,0]
[null,null,null,null,"DC heroin 2",0,0,{"$f":"Parameters!$D$85","v":6.2E-2},{"$f":"Parameters!$D$82","v":0.06},{"$f":"Parameters!$D$107","v":0.92893519014585757},0,0,0,0,0]
[null,null,null,null,"Overdose 2",0,0,0,{"$f":"Parameters!$D$88","v":0.22},0,0,0,0,0,0]
[null,null,null,null,"Resume heroin use 2",0,0,0,0,0,{"$f":"Parameters!$D$91","v":0.90915999999999997},{"$f":"Mortality!$L$3","v":0.58558971427095552},{"$f":"Parameters!$D$108","v":7.0000000000000007E-2},0,0]
[null,null,null,null,"DC heroin 3",0,0,0,0,0,{"$f":"Parameters!$D$93","v":6.2E-2},{"$f":"Parameters!$D$98","v":0.06},{"$f":"Parameters!$D$109","v":0.92893519014585757},{"$f":"Parameters!$D$99","v":0.90915999999999997},0]
[null,null,null,null,"OD 3+",0,0,0,0,0,0,{"$f":"Parameters!$D$96","v":0.34},0,{"$f":"Parameters!$D$101","v":6.2E-2},0]
[null,null,null,null,"Death",{"$f":"'Markov Model AD+'!$O$4","v":1.4410285729044348E-2},{"$f":"Mortality!$C$24","v":1.0648098541423678E-3},{"$f":"'Decision Tree 1'!$G$45","v":2.8840000000000011E-2},{"$f":"'Markov Model AD+'!$O$4","v":1.4410285729044348E-2},{"$f":"Mortality!$C$24","v":1.0648098541423678E-3},{"$f":"'Decision Tree 1'!$G$45","v":2.8840000000000011E-2},{"$f":"'Markov Model AD+'!$O$4","v":1.4410285729044348E-2},{"$f":"Mortality!$C$24","v":1.0648098541423678E-3},{"$f":"'Decision Tree 1'!$G$45","v":2.8840000000000011E-2},1]
[null,null,null,null,"Total",{"$f":"SUM(F6:F15)","v":1},{"$f":"SUM(G6:G15)","v":1},1,0.99999999999999989,1,1,0.99999999999999989,1,1,1]
[]
[]
[null,null,null,null,"Markov Transition Matrix (AD-)"]
[]
[null,null,null,null,null,"Heroin use","DC heroin 1","Overdose 1","Resume heroin use 1","DC heroin 2","Overdose 2","Resume heroin 2","DC heroin 3","OD 3+","Death"]
[null,null,null,null,"Heroin use",{"$f":"Mortality!$H$3","v":0.83558971427095563},{"$f":"Parameters!$D$104","v":7.0000000000000007E-2},0,0,0,0,0,0,0,0]
[null,null,null,null,"DC heroin 1",{"$f":"Parameters!$D$82","v":0.06},{"$f":"Parameters!$D$105","v":0.92893519014585757},0,0,0,0,0,0,0,0]
[null,null,null,null,"Overdose 1",{"$f":"Parameters!$D$81","v":0.09},0,0,0,0,0,0,0,0,0]
[null,null,null,null,"Resume heroin use 1",0,0,{"$f":"Parameters!D84","v":0.884552},{"$f":"Mortality!$J$3","v":0.70558971427095563},{"$f":"Parameters!$D$106","v":7.0000000000000007E-2},0,0,0,0,0]
[null,null,null,null,"DC heroin 2",0,0,{"$f":"Parameters!$D$85","v":6.2E-2},{"$f":"Parameters!$D$82","v":0.06},{"$f":"Parameters!$D$107","v":0.92893519014585757},0,0,0,0,0]
[null,null,null,null,"Overdose 2",0,0,0,{"$f":"Parameters!$D$88","v":0.22},0,0,0,0,0,0]
[null,null,null,null,"Resume heroin use 2",0,0,0,0,0,{"$f":"tpOD2_heroin2_tcB","v":0.884552},{"$f":"Mortality!$L$3","v":0.58558971427095552},{"$f":"Parameters!$D$108","v":7.0000000000000007E-2},0,0]
[null,null,null,null,"DC heroin 3",0,0,0,0,0,{"$f":"Parameters!$D$93","v":6.2E-2},{"$f":"Parameters!$D$98","v":0.06},{"$f":"Parameters!$D$109","v":0.92893519014585757},{"$f":"tpOD3_heroin2_tcB","v":0.884552},0]
[null,null,null,null,"OD 3+",0,0,0,0,0,0,{"$f":"Parameters!$D$96","v":0.34},0,{"$f":"Parameters!$D$101","v":6.2E-2},0]
[null,null,null,null,"Death",{"$f":"'Markov Model AD+'!$O$4","v":1.4410285729044348E-2},{"$f":"Mortality!$C$24","v":1.0648098541423678E-3},{"$f":"death.tcB","v":5.3448000000000002E-2},{"$f":"'Markov Model AD+'!$O$4","v":1.4410285729044348E-2},{"$f":"Mortality!$C$24","v":1.0648098541423678E-3},{"$f":"death.tcB","v":5.3448000000000002E-2},{"$f":"'Markov Model AD+'!$O$4","v":1.4410285729044348E-2},{"$f":"Mortality!$C$24","v":1.0648098541423678E-3},{"$f":"death.tcB","v":5.3448000000000002E-2},1]
[null,null,null,null,"Total",{"$f":"SUM(F22:F31)","v":1},{"$f":"SUM(G22:G31)","v":1},1,0.99999999999999989,1,1,0.99999999999999989,1,1,1]

{"sheet":"Markov Model AD+","index":11,"n_rows":69,"n_cols":19,"rows_kept":69,"cut":false,"hidden":false,"merged":[]}
[]
["Mortality_time","Cycle","Heroin Use","Overdose","Resume Heroin Use 1","2nd Overdose","Resume Heroin Use 2","3rd Overdose","Discontinue Heroin Use 1","Discontinue Heroin Use 2","Discontinue Heroin Use 3","Death Risk","Total","S(t)","mortality",null,"Cost","Life-years","QALYs"]
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{"sheet":"Markov Model AD -","index":12,"n_rows":69,"n_cols":19,"rows_kept":69,"cut":false,"hidden":false,"merged":[]}
[]
["Mortality_time","Cycle","Heroin Use","Overdose","Resume Heroin Use 1","2nd Overdose","Resume Heroin Use 2","3rd Overdose","Discontinue Heroin Use 1","Discontinue Heroin Use 2","Discontinue Heroin Use 3","Death Risk","Total","S(t)","mortality",null,"Cost","Life-years","QALYs"]
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{"sheet":"Mortality","index":15,"n_rows":103,"n_cols":12,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
[null,null,"Starting from age 21"]
["Time (months)","Age (years)","qx","qx + add_death (0.0075)",null,"modified death rate (start from age 21 to 85)",null,"Heroin Use --> Heroin Use",null,"Resume Heroin Use 1-->  Continue Heroin Use",null,"Resume Heroin Use 2-->  Continue Heroin Use"]
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