Hawlgalka daryeelka degdegga ee isbitaalka Qaabka tooska ah

Waxaad isku duwaysaa qaybta daryeelka degdegga ee isbitaal: 20 sariirood ICU ah oo laga dhigi karo 30, kalkaaliyeyaasha shaqaalaysiiya, iyo taangi ogsijiin dareere ah oo quudiya sariir kasta. Kani waa jile hawlgal — ma matalo go'aamo caafimaad.

Waxa aad baran doonto

Jile

Waqti 0 h
Buuxinta ICU 75% · Bukaannada sugaya sariir qaybta degdegga 0 · Baahida ogsijiinta 290 L/min · Waqtiga harsan ee taangiga ogsijiinta 145 h🛏🛏🛏🛏🛏🛏🛏🛏🛏🛏🛏🛏🛏🛏🛏·····🚑 Bukaannada sugaya sariir qaybta degdegga: 0 · 👩‍⚕️ 1.5O₂290 L/min · max 600⏱ 145 h
  • Bukaan sariirta ICU ku jira
  • Sariir madhan oo shaqaale leh
  • Sariir shaqaale la'aan ah
  • Wuxuu sugayaa qaybta degdegga

Xakamayaal

Moodelkan, kalkaaliye kastaa wuxuu shaqaalayn karaa laba sariirood oo daryeel degdeg ah. Jadwalku wuxuu leeyahay 10; kalkaaliye kasta oo intaas ka badan waa saacado dheeraad ah ama waqti wakaaladeed waxayna ka dhacaan miisaaniyadda shaqaalaha.

Ilaa 10 sariirood oo dheeraad ah — waxtar leh oo keliya haddii kalkaaliyeyaal jiraan oo shaqaalayn kara.

Bukaannada soo kabanaya hore ugu wareeji qaybo daryeel yar leh (joogitaanku wuxuu gaabanayaa 25 %).

Dhakhaatiirtu waxay beegsadaan dhammaadka hoose ee xadka la qoray; waxaa loo muujiyay oo keliya sidii baahi 20 % ka yar.

Saacadaha u dhexeeya keenista la jadwaleeyay ee ogsijiinta dareeraha ah; mid kastaa wuxuu taangiga 3,000 L ah ka buuxiyaa ilaa awooddiisa. Alaab-qeybiyuhu wuxuu u baahan yahay ogeysiis 24 h ka hor, sidaas darteed muddo ka gaaban marnaba ma keento gaadhiga xiga waqti ka horreeya intaas.

Gaas kayd ah, ugu badnaan 150 L/daq — wuxuu ku dara taangiga, ma beddeli karo. Laba bangi oo buuxa oo keliya ayaa goobta yaal.

Bixiye kale: hal rar oo ilaa 3,000 L ogsijiin dareere ah, oo yimaada 18 saacadood kadib dalabka. Xilliga yaraanta waxay bixin karaan hal oo keliya.

Tilmaamayaal

Buuxinta ICU
75%
caadi
Bukaannada sugaya sariir qaybta degdegga
0
caadi
Yaraanta ogsijiinta
0L/min
caadi
Waqtiga harsan ee taangiga ogsijiinta
145h
caadi
Baahida ogsijiinta290 L/min
Bukaannada ICU15
Sugitaanka ugu dheer ee sariir ICU0 h
Saacadaha kalkaaliyeyaasha dheeraadka / wakaaladda0 h
Bukaan kalkaaliye kasta1.5
Ogsijiin dareere ah oo taangiga ku jirta3000 L
Kaydka dhalooyinka0 m³

Isbeddel

Buuxinta ICU: — %1000

Xaaladaha dhibaatada

Heerka 1 · Kor-u-kaca neef-mareenka

Cutubku wuu ku dhow yahay inuu buuxsamo marka mowjad cudur neef-mareen ah ay maalin keliya labanlaab ka badan ka dhigto imaatinka daryeelka degdegga ah, kuwo badan oo iyaga ka mid ahna xaaladdoodu aad bay u xun tahay. Bukaan kasta waqtigiisa ku geli sariir ICU adigoon nidaamka ogsijiinta ka gudbin xadkiisa — oo ku jira miisaaniyadda shaqaalaha dheeraadka ah.

  • Celceliska sugitaanka qaybta degdegga ≤ 1 bukaan
  • Ma jiro bukaan sugaya 6 saacadood ama ka badan sariir ICU
  • Ma jirto yaraan ogsijiin wakhti kasta
  • Marna ha ka badnaan 2 bukaan kalkaaliye kasta
  • Saacado dheeraad / wakaalad ma jiraan ka hor ku dhawaaqista kor-u-kaca
  • Saacado dheeraad / wakaalad ≤ 420 saacadood oo kalkaaliye

Heerka 2 · Keenista ogsijiinta dib ayay u dhacday

Taangigu wuxuu hoos ugu dhacay saddex meelood meel, keenista caadiga ahna berri ayaa la filayaa. Kadib bixiyaha ayaa soo wacaya: keenistaas maalmo ayay dib u dhacaysaa. Bukaan kasta ku sii sahay ilaa ay timaaddo — shaqaale dheeraad ah looma baahna tan.

  • Ma jirto yaraan ogsijiin wakhti kasta
  • Taangigu marna ha engegin
  • Wax saacado kalkaaliye oo dheeraad / wakaalad ah ma jiraan

Heerka 3 · Uumi-baxiyuhu xadkiisii wuu gaadhay

Cutubku wuxuu ku dhow yahay inuu ka buuxsamo bukaanno aad u xanuunsan marka mowjad bukaanno xaaladdoodu halis tahay ay timaaddo — qiyaastii mid saacaddii muddo badh maalin ah. Mid kastaa wuxuu u baahan yahay socod ogsijiin oo sare, uumi-baxiyuhuna wuxuu bixin karaa oo keliya 600 L/daq. Socodka sii hay, waddooyinka dhexena bannaan ka dhig, adigoo ku jira miisaaniyadda shaqaalaha.

  • Yaraan ogsijiin ah ma jirto wakhti kasta
  • Celceliska sugitaanka qaybta degdegga ≤ 2 bukaan
  • Waqtiga taangigu marna ha ka hoosayn 12 saac
  • Saacado dheeraad / wakaalad ma jiraan ka hor inta aysan mowjaddu iman
  • Saacado dheeraad / wakaalad ≤ 300 saacadood oo kalkaaliye

Aasaas — moodelka ka dambeeya tirooyinka

Xiriir kasta oo jilaha isticmaalo, iyo ilaha uu ka yimid. Mudnaanta lagu calaamadiyay malo-awaal waa hagaajin muunad ah.

Bukaannada halista ahi si aan kala sooc lahayn ayay u yimaadaan oo waxay joogaan waqti aan kala sooc lahayn (tibaax, celcelis 72 saac).
arrivals ~ Poisson(λ·Δt); P(discharge in Δt) = 1 − e^(−Δt/LOS), LOS = 72 h[4][2]Malo-awaal: dhererka joogitaanka, tirada sariirta iyo kalkaaliyeyaasha, miisaaniyadaha shaqaalaha, cabbirka taangiga, uumi-baxiyaha iyo dhalooyinka, iyo shuruudaha bixiyaha degdegga waa qiyam muunad ah oo loogu talagalay isbitaal cabbir dhexe ah.
Buuxinta iyo safafka: imaatin aan kala sooc lahayn, daahitaanku si degdeg ah ayuu u kordhaa kahor intaan qaybta jiifku 100 % buuxin.
occupancy = patients / open beds; queueing delay rises steeply as occupancy → 100 %[2][3]
Sariir waxay tirsan tahay oo keliya haddii shaqaale leedahay.
staffed beds = min(open beds, 2 × nurses)[4]Malo-awaal: dhererka joogitaanka, tirada sariirta iyo kalkaaliyeyaasha, miisaaniyadaha shaqaalaha, cabbirka taangiga, uumi-baxiyaha iyo dhalooyinka, iyo shuruudaha bixiyaha degdegga waa qiyam muunad ah oo loogu talagalay isbitaal cabbir dhexe ah.
Kharashka shaqaalaha: saacad kasta oo kalkaaliye oo ka badan wareegga la jadwaleeyay waa saacad dheeraad ah ama waqti wakaaladeed. Sariirta dheeraadka ahi waxay u baahan yihiin kalkaaliyeyaashaas, sidaas darteed iyaga ayaa qaada kharashkaas.
overtime/agency nurse-hours = Σ max(0, nurses − 10) · ΔtMalo-awaal: dhererka joogitaanka, tirada sariirta iyo kalkaaliyeyaasha, miisaaniyadaha shaqaalaha, cabbirka taangiga, uumi-baxiyaha iyo dhalooyinka, iyo shuruudaha bixiyaha degdegga waa qiyam muunad ah oo loogu talagalay isbitaal cabbir dhexe ah.
Sugitaanka ugu dheer ee qaybta degdegga ee sariir ICU. Daraasad diiwaan weyn, bukaannada xaaladdoodu halis tahay ee sugay 6 saacadood ama ka badan waxay lahaayeen dhimasho sare.
longest ED wait = now − time the first waiting patient arrived (first come, first served); ≥ 6 h counts as a delayed transfer[6]
Baahida ogsijiinta oo ka timid socodka qorshaynta ee WHO ee bukaan kasta.
demand = Σ flow(patient): severe 10 L/min, critical 30 L/min[1]
Uumi-baxiyuhu wuxuu xaddidaa inta gaas ee taangigu keeni karo daqiiqaddiiba; dhalooyinku waxay ku daraan wax yar.
delivered = min(demand, vaporizer 600 L/min, tank) + cylinders (≤150 L/min)[1]Malo-awaal: dhererka joogitaanka, tirada sariirta iyo kalkaaliyeyaasha, miisaaniyadaha shaqaalaha, cabbirka taangiga, uumi-baxiyaha iyo dhalooyinka, iyo shuruudaha bixiyaha degdegga waa qiyam muunad ah oo loogu talagalay isbitaal cabbir dhexe ah.
Ogsijiinta dareeraha ahi waxay ballaadhataa ku dhawaad 843 jibaar marka ay gaas noqoto 15 °C iyo 1 atm (861 ee inta badan la sheego waa qiimaha 21 °C); saacadaha taangigu waxay ka imaanayaan isticmaalka hadda.
gas litres (15 °C, 1 atm) = liquid litres × 843; tank hours = gas / (use × 60)[5]
Mudnaanta kale ee hawlgalka ee uu moodelku isticmaalo.
20 base beds + up to 10 surge · 10 rostered nurses · 40 % critical at baseline · tank 3,000 L liquid, deliveries fill it to capacity; a new interval moves the next truck no closer than 24 h · vaporizer 600 L/min · 2 cylinder banks on site, 120 m³ each at ≤150 L/min · one emergency load of up to 3,000 L, 18 h after the order · step-down push shortens stay by 25 %Malo-awaal: dhererka joogitaanka, tirada sariirta iyo kalkaaliyeyaasha, miisaaniyadaha shaqaalaha, cabbirka taangiga, uumi-baxiyaha iyo dhalooyinka, iyo shuruudaha bixiyaha degdegga waa qiyam muunad ah oo loogu talagalay isbitaal cabbir dhexe ah.
Xakamaynta taxadarka ah oo ah arrin baahi.
demand × 0.8 when conservative titration is applied[7]Malo-awaal: kaydka 20 % waa muunad. Yoolalka ogsijiintu waa go'aan caafimaad oo loo qaado bukaan kasta; jilaahan wuxuu tusayaa oo keliya saamaynta sahayda.

Aan-kala-sooc: abuurahaha mulberry32 oo abuur leh; qaybinta la isticmaalay — isku-mid, tibaax (CDF rogan), caadi (Box–Muller), Poisson (Knuth). Abuurka waa la muujiyaa waana la wadaagi karaa.

Ilaha

  1. WHO — Oxygen sources and distribution for COVID-19 treatment centres (planning flows: severe 10 L/min, critical 30 L/min) — World Health Organization, 2020
  2. A. Bagust, M. Place, J. W. Posnett — Dynamics of bed use in accommodating emergency admissions: stochastic simulation model — BMJ 319:155, 1999
  3. N. Proudlove — The 85% bed occupancy fallacy: the use, misuse and insights of queuing theory — Health Services Management Research, 2020
  4. D. Gross, C. M. Harris — Fundamentals of Queueing Theory (M/M/c, loss systems) — Wiley, 2008
  5. NIST Chemistry WebBook, SRD 69 — Thermophysical properties of oxygen (saturated liquid at 1 atm: 1141.2 kg/m³; gas at 15 °C, 1 atm: 1.3544 kg/m³ → ≈ 843 L gas per L liquid; ≈ 861 at 21.1 °C) — National Institute of Standards and Technology
  6. D. B. Chalfin, S. Trzeciak, A. Likourezos et al. — Impact of delayed transfer of critically ill patients from the emergency department to the intensive care unit (ED stay ≥ 6 h: higher ICU and hospital mortality) — Critical Care Medicine 35(6):1477–1483, 2007
  7. BTS guideline for oxygen use in healthcare and emergency settings (target saturation ranges) — British Thoracic Society, Thorax 72, 2017

Yaa shaqadan ka shaqeeya

Moodel waxbarasho — looma isticmaalo go’aamo hawlgal. Goobaha dhabta ahi waxay joogto kasta u hagaajiyaan qalabkooda iyo xogtooda.