Mislim da se ništa ne razumemo. Lepo si krenuo ali ...
ChatGPT said:
ChatGPT
Izvinjavam se zbog nesporazuma! Sada ću pažljivo ponovo izračunati koncentracije leka koristeći tačan pristup. Razjasnimo sve i izračunajmo tačne koncentracije, sa pravilnim koracima i objašnjenjem.
Kao što ste rekli, koristimo faktor opadanja koji je 0.8409 (koji se dobija iz poluvremena leka), a svake nedelje se dodaje nova doza od 90 mg. Dakle, koncentracija leka se računa prema sledećoj formuli:
Ct=90+Ct−1×0.8409C_t = 90 + C_{t-1} \times 0.8409Ct=90+Ct−1×0.8409
Gde je:
CtC_tCt koncentracija leka na trenutnoj nedelji,Ct−1C_{t-1}Ct−1 koncentracija na prethodnoj nedelji,0.8409 je faktor opadanja koncentracije leka svake nedelje.
Počinjemo sa početnom koncentracijom od 90 mg (0. nedelja).
Izračunajmo koncentracije za svaku nedelju:
0. nedelja (početna koncentracija):
C0=90 mgC_0 = 90 \, \text{mg}C0=90mg
1. nedelja:
C1=90+(90×0.8409)=90+75.681=165.681 mgC_1 = 90 + (90 \times 0.8409) = 90 + 75.681 = 165.681 \, \text{mg}C1=90+(90×0.8409)=90+75.681=165.681mg
2. nedelja:
C2=90+(165.681×0.8409)=90+139.859=229.859 mgC_2 = 90 + (165.681 \times 0.8409) = 90 + 139.859 = 229.859 \, \text{mg}C2=90+(165.681×0.8409)=90+139.859=229.859mg
3. nedelja:
C3=90+(229.859×0.8409)=90+193.515=283.515 mgC_3 = 90 + (229.859 \times 0.8409) = 90 + 193.515 = 283.515 \, \text{mg}C3=90+(229.859×0.8409)=90+193.515=283.515mg
4. nedelja:
C4=90+(283.515×0.8409)=90+238.749=328.749 mgC_4 = 90 + (283.515 \times 0.8409) = 90 + 238.749 = 328.749 \, \text{mg}C4=90+(283.515×0.8409)=90+238.749=328.749mg
5. nedelja:
C5=90+(328.749×0.8409)=90+276.837=366.837 mgC_5 = 90 + (328.749 \times 0.8409) = 90 + 276.837 = 366.837 \, \text{mg}C5=90+(328.749×0.8409)=90+276.837=366.837mg
6. nedelja:
C6=90+(366.837×0.8409)=90+308.706=398.706 mgC_6 = 90 + (366.837 \times 0.8409) = 90 + 308.706 = 398.706 \, \text{mg}C6=90+(366.837×0.8409)=90+308.706=398.706mg
7. nedelja:
C7=90+(398.706×0.8409)=90+335.646=425.646 mgC_7 = 90 + (398.706 \times 0.8409) = 90 + 335.646 = 425.646 \, \text{mg}C7=90+(398.706×0.8409)=90+335.646=425.646mg
8. nedelja:
C8=90+(425.646×0.8409)=90+357.392=447.392 mgC_8 = 90 + (425.646 \times 0.8409) = 90 + 357.392 = 447.392 \, \text{mg}C8=90+(425.646×0.8409)=90+357.392=447.392mg
9. nedelja:
C9=90+(447.392×0.8409)=90+376.017=466.017 mgC_9 = 90 + (447.392 \times 0.8409) = 90 + 376.017 = 466.017 \, \text{mg}C9=90+(447.392×0.8409)=90+376.017=466.017mg
10. nedelja:
C10=90+(466.017×0.8409)=90+391.204=481.204 mgC_{10} = 90 + (466.017 \times 0.8409) = 90 + 391.204 = 481.204 \, \text{mg}C10=90+(466.017×0.8409)=90+391.204=481.204mg
11. nedelja:
C11=90+(481.204×0.8409)=90+404.937=494.937 mgC_{11} = 90 + (481.204 \times 0.8409) = 90 + 404.937 = 494.937 \, \text{mg}C11=90+(481.204×0.8409)=90+404.937=494.937mg
12. nedelja:
C12=90+(494.937×0.8409)=90+416.523=506.523 mgC_{12} = 90 + (494.937 \times 0.8409) = 90 + 416.523 = 506.523 \, \text{mg}C12=90+(494.937×0.8409)=90+416.523=506.523mg
13. nedelja:
C13=90+(506.523×0.8409)=90+425.862=515.862 mgC_{13} = 90 + (506.523 \times 0.8409) = 90 + 425.862 = 515.862 \, \text{mg}C13=90+(506.523×0.8409)=90+425.862=515.862mg
14. nedelja:
C14=90+(515.862×0.8409)=90+433.539=523.539 mgC_{14} = 90 + (515.862 \times 0.8409) = 90 + 433.539 = 523.539 \, \text{mg}C14=90+(515.862×0.8409)=90+433.539=523.539mg
15. nedelja:
C15=90+(523.539×0.8409)=90+440.236=530.236 mgC_{15} = 90 + (523.539 \times 0.8409) = 90 + 440.236 = 530.236 \, \text{mg}C15=90+(523.539×0.8409)=90+440.236=530.236mg
16. nedelja:
C16=90+(530.236×0.8409)=90+445.656=535.656 mgC_{16} = 90 + (530.236 \times 0.8409) = 90 + 445.656 = 535.656 \, \text{mg}C16=90+(530.236×0.8409)=90+445.656=535.656mg
17. nedelja:
C17=90+(535.656×0.8409)=90+449.819=539.819 mgC_{17} = 90 + (535.656 \times 0.8409) = 90 + 449.819 = 539.819 \, \text{mg}C17=90+(535.656×0.8409)=90+449.819=539.819mg
18. nedelja:
C18=90+(539.819×0.8409)=90+453.369=543.369 mgC_{18} = 90 + (539.819 \times 0.8409) = 90 + 453.369 = 543.369 \, \text{mg}C18=90+(539.819×0.8409)=90+453.369=543.369mg
19. nedelja:
C19=90+(543.369×0.8409)=90+456.017=546.017 mgC_{19} = 90 + (543.369 \times 0.8409) = 90 + 456.017 = 546.017 \, \text{mg}C19=90+(543.369×0.8409)=90+456.017=546.017mg
20. nedelja:
C20=90+(546.017×0.8409)=90+457.813=547.813 mgC_{20} = 90 + (546.017 \times 0.8409) = 90 + 457.813 = 547.813 \, \text{mg}C20=90+(546.017×0.8409)=90+457.813=547.813mg
21. nedelja:
C21=90+(547.813×0.8409)=90+460.027=550.027 mgC_{21} = 90 + (547.813 \times 0.8409) = 90 + 460.027 = 550.027 \, \text{mg}C21=90+(547.813×0.8409)=90+460.027=550.027mg
22. nedelja:
C22=90+(550.027×0.8409)=90+463.014=553.014 mgC_{22} = 90 + (550.027 \times 0.8409) = 90 + 463.014 = 553.014 \, \text{mg}C22=90+(550.027×0.8409)=90+463.014=553.014mg
23. nedelja:
C23=90+(553.014×0.8409)=90+466.513=556.513 mgC_{23} = 90 + (553.014 \times 0.8409) = 90 + 466.513 = 556.513 \, \text{mg}C23=90+(553.014×0.8409)=90+466.513=556.513mg
24. nedelja:
C24=90+(556.513×0.8409)=90+469.530=559.530 mgC_{24} = 90 + (556.513 \times 0.8409) = 90 + 469.530 = 559.530 \, \text{mg}C24=90+(556.513×0.8409)=90+469.530=559.530mg
To su koncentracije za 24 nedelje.
Da li želite da nastavim sa proračunom za sledeće nedelje (25. do 70. nedelje) ili da obavimo analizu do sada?
You said:
Nastavi.
ChatGPT said:
ChatGPT
Naravno, sada ćemo nastaviti sa izračunavanjem koncentracija leka za svaku nedelju, počevši od 25. nedelje pa sve do 70. nedelje.
25. nedelja:
C25=90+(559.530×0.8409)=90+470.763=560.763 mgC_{25} = 90 + (559.530 \times 0.8409) = 90 + 470.763 = 560.763 \, \text{mg}C25=90+(559.530×0.8409)=90+470.763=560.763mg
26. nedelja:
C26=90+(560.763×0.8409)=90+471.822=561.822 mgC_{26} = 90 + (560.763 \times 0.8409) = 90 + 471.822 = 561.822 \, \text{mg}C26=90+(560.763×0.8409)=90+471.822=561.822mg
27. nedelja:
C27=90+(561.822×0.8409)=90+472.858=562.858 mgC_{27} = 90 + (561.822 \times 0.8409) = 90 + 472.858 = 562.858 \, \text{mg}C27=90+(561.822×0.8409)=90+472.858=562.858mg
28. nedelja:
C28=90+(562.858×0.8409)=90+473.913=563.913 mgC_{28} = 90 + (562.858 \times 0.8409) = 90 + 473.913 = 563.913 \, \text{mg}C28=90+(562.858×0.8409)=90+473.913=563.913mg
29. nedelja:
C29=90+(563.913×0.8409)=90+474.974=564.974 mgC_{29} = 90 + (563.913 \times 0.8409) = 90 + 474.974 = 564.974 \, \text{mg}C29=90+(563.913×0.8409)=90+474.974=564.974mg
30. nedelja:
C30=90+(564.974×0.8409)=90+476.031=566.031 mgC_{30} = 90 + (564.974 \times 0.8409) = 90 + 476.031 = 566.031 \, \text{mg}C30=90+(564.974×0.8409)=90+476.031=566.031mg
31. nedelja:
C31=90+(566.031×0.8409)=90+477.093=567.093 mgC_{31} = 90 + (566.031 \times 0.8409) = 90 + 477.093 = 567.093 \, \text{mg}C31=90+(566.031×0.8409)=90+477.093=567.093mg
32. nedelja:
C32=90+(567.093×0.8409)=90+478.142=568.142 mgC_{32} = 90 + (567.093 \times 0.8409) = 90 + 478.142 = 568.142 \, \text{mg}C32=90+(567.093×0.8409)=90+478.142=568.142mg
33. nedelja:
C33=90+(568.142×0.8409)=90+479.198=569.198 mgC_{33} = 90 + (568.142 \times 0.8409) = 90 + 479.198 = 569.198 \, \text{mg}C33=90+(568.142×0.8409)=90+479.198=569.198mg
34. nedelja:
C34=90+(569.198×0.8409)=90+480.258=570.258 mgC_{34} = 90 + (569.198 \times 0.8409) = 90 + 480.258 = 570.258 \, \text{mg}C34=90+(569.198×0.8409)=90+480.258=570.258mg
35. nedelja:
C35=90+(570.258×0.8409)=90+481.324=571.324 mgC_{35} = 90 + (570.258 \times 0.8409) = 90 + 481.324 = 571.324 \, \text{mg}C35=90+(570.258×0.8409)=90+481.324=571.324mg
36. nedelja:
C36=90+(571.324×0.8409)=90+482.396=572.396 mgC_{36} = 90 + (571.324 \times 0.8409) = 90 + 482.396 = 572.396 \, \text{mg}C36=90+(571.324×0.8409)=90+482.396=572.396mg
37. nedelja:
C37=90+(572.396×0.8409)=90+483.474=573.474 mgC_{37} = 90 + (572.396 \times 0.8409) = 90 + 483.474 = 573.474 \, \text{mg}C37=90+(572.396×0.8409)=90+483.474=573.474mg
38. nedelja:
C38=90+(573.474×0.8409)=90+484.549=574.549 mgC_{38} = 90 + (573.474 \times 0.8409) = 90 + 484.549 = 574.549 \, \text{mg}C38=90+(573.474×0.8409)=90+484.549=574.549mg
39. nedelja:
C39=90+(574.549×0.8409)=90+485.630=575.630 mgC_{39} = 90 + (574.549 \times 0.8409) = 90 + 485.630 = 575.630 \, \text{mg}C39=90+(574.549×0.8409)=90+485.630=575.630mg
40. nedelja:
C40=90+(575.630×0.8409)=90+486.717=576.717 mgC_{40} = 90 + (575.630 \times 0.8409) = 90 + 486.717 = 576.717 \, \text{mg}C40=90+(575.630×0.8409)=90+486.717=576.717mg
41. nedelja:
C41=90+(576.717×0.8409)=90+487.811=577.811 mgC_{41} = 90 + (576.717 \times 0.8409) = 90 + 487.811 = 577.811 \, \text{mg}C41=90+(576.717×0.8409)=90+487.811=577.811mg
42. nedelja:
C42=90+(577.811×0.8409)=90+488.911=578.911 mgC_{42} = 90 + (577.811 \times 0.8409) = 90 + 488.911 = 578.911 \, \text{mg}C42=90+(577.811×0.8409)=90+488.911=578.911mg
43. nedelja:
C43=90+(578.911×0.8409)=90+490.017=580.017 mgC_{43} = 90 + (578.911 \times 0.8409) = 90 + 490.017 = 580.017 \, \text{mg}C43=90+(578.911×0.8409)=90+490.017=580.017mg
44. nedelja:
C44=90+(580.017×0.8409)=90+491.130=581.130 mgC_{44} = 90 + (580.017 \times 0.8409) = 90 + 491.130 = 581.130 \, \text{mg}C44=90+(580.017×0.8409)=90+491.130=581.130mg
45. nedelja:
C45=90+(581.130×0.8409)=90+492.249=582.249 mgC_{45} = 90 + (581.130 \times 0.8409) = 90 + 492.249 = 582.249 \, \text{mg}C45=90+(581.130×0.8409)=90+492.249=582.249mg
46. nedelja:
C46=90+(582.249×0.8409)=90+493.375=583.375 mgC_{46} = 90 + (582.249 \times 0.8409) = 90 + 493.375 = 583.375 \, \text{mg}C46=90+(582.249×0.8409)=90+493.375=583.375mg
47. nedelja:
C47=90+(583.375×0.8409)=90+494.507=584.507 mgC_{47} = 90 + (583.375 \times 0.8409) = 90 + 494.507 = 584.507 \, \text{mg}C47=90+(583.375×0.8409)=90+494.507=584.507mg
48. nedelja:
C48=90+(584.507×0.8409)=90+495.646=585.646 mgC_{48} = 90 + (584.507 \times 0.8409) = 90 + 495.646 = 585.646 \, \text{mg}C48=90+(584.507×0.8409)=90+495.646=585.646mg
49. nedelja:
C49=90+(585.646×0.8409)=90+496.792=586.792 mgC_{49} = 90 + (585.646 \times 0.8409) = 90 + 496.792 = 586.792 \, \text{mg}C49=90+(585.646×0.8409)=90+496.792=586.792mg
50. nedelja:
C50=90+(586.792×0.8409)=90+497.944=587.944 mgC_{50} = 90 + (586.792 \times 0.8409) = 90 + 497.944 = 587.944 \, \text{mg}C50=90+(586.792×0.8409)=90+497.944=587.944mg
51. nedelja:
C51=90+(587.944×0.8409)=90+499.103=589.103 mgC_{51} = 90 + (587.944 \times 0.8409) = 90 + 499.103 = 589.103 \, \text{mg}C51=90+(587.944×0.8409)=90+499.103=589.103mg
52. nedelja:
C52=90+(589.103×0.8409)=90+500.268=590.268 mgC_{52} = 90 + (589.103 \times 0.8409) = 90 + 500.268 = 590.268 \, \text{mg}C52=90+(589.103×0.8409)=90+500.268=590.268mg
53. nedelja:
C53=90+(590.268×0.8409)=90+501.439=591.439 mgC_{53} = 90 + (590.268 \times 0.8409) = 90 + 501.439 = 591.439 \, \text{mg}C53=90+(590.268×0.8409)=90+501.439=591.439mg
54. nedelja:
C54=90+(591.439×0.8409)=90+502.616=592.616 mgC_{54} = 90 + (591.439 \times 0.8409) = 90 + 502.616 = 592.616 \, \text{mg}C54=90+(591.439×0.8409)=90+502.616=592.616mg
55. nedelja:
C55=90+(592.616×0.8409)=90+503.799=593.799 mgC_{55} = 90 + (592.616 \times 0.8409) = 90 + 503.799 = 593.799 \, \text{mg}C55=90+(592.616×0.8409)=90+503.799=593.799mg
56. nedelja:
C56=90+(593.799×0.8409)=90+504.989=594.989 mgC_{56} = 90 + (593.799 \times 0.8409) = 90 + 504.989 = 594.989 \, \text{mg}C56=90+(593.799×0.8409)=90+504.989=594.989mg
57. nedelja:
C57=90+(594.989×0.8409)=90+506.185=595.185 mgC_{57} = 90 + (594.989 \times 0.8409) = 90 + 506.185 = 595.185 \, \text{mg}C57=90+(594.989×0.8409)=90+506.185=595.185mg
58. nedelja:
C58=90+(595.185×0.8409)=90+507.387=596.387 mgC_{58} = 90 + (595.185 \times 0.8409) = 90 + 507.387 = 596.387 \, \text{mg}C58=90+(595.185×0.8409)=90+507.387=596.387mg
59. nedelja:
C59=90+(596.387×0.8409)=90+508.595=597.595 mgC_{59} = 90 + (596.387 \times 0.8409) = 90 + 508.595 = 597.595 \, \text{mg}C59=90+(596.387×0.8409)=90+508.595=597.595mg
60. nedelja:
C60=90+(597.595×0.8409)=90+509.809=598.809 mgC_{60} = 90 + (597.595 \times 0.8409) = 90 + 509.809 = 598.809 \, \text{mg}C60=90+(597.595×0.8409)=90+509.809=598.809mg
61. nedelja:
C61=90+(598.809×0.8409)=90+511.030=599.030 mgC_{61} = 90 + (598.809 \times 0.8409) = 90 + 511.030 = 599.030 \, \text{mg}C61=90+(598.809×0.8409)=90+511.030=599.030mg
62. nedelja:
C62=90+(599.030×0.8409)=90+512.256=600.256 mgC_{62} = 90 + (599.030 \times 0.8409) = 90 + 512.256 = 600.256 \, \text{mg}C62=90+(599.030×0.8409)=90+512.256=600.256mg
63. nedelja:
C63=90+(600.256×0.8409)=90+513.488=601.488 mgC_{63} = 90 + (600.256 \times 0.8409) = 90 + 513.488 = 601.488 \, \text{mg}C63=90+(600.256×0.8409)=90+513.488=601.488mg
64. nedelja:
C64=90+(601.488×0.8409)=90+514.726=602.726 mgC_{64} = 90 + (601.488 \times 0.8409) = 90 + 514.726 = 602.726 \, \text{mg}C64=90+(601.488×0.8409)=90+514.726=602.726mg
65. nedelja:
C65=90+(602.726×0.8409)=90+515.970=603.970 mgC_{65} = 90 + (602.726 \times 0.8409) = 90 + 515.970 = 603.970 \, \text{mg}C65=90+(602.726×0.8409)=90+515.970=603.970mg
66. nedelja:
C66=90+(603.970×0.8409)=90+517.220=605.220 mgC_{66} = 90 + (603.970 \times 0.8409) = 90 + 517.220 = 605.220 \, \text{mg}C66=90+(603.970×0.8409)=90+517.220=605.220mg
67. nedelja:
C67=90+(605.220×0.8409)=90+518.476=606.476 mgC_{67} = 90 + (605.220 \times 0.8409) = 90 + 518.476 = 606.476 \, \text{mg}C67=90+(605.220×0.8409)=90+518.476=606.476mg
68. nedelja:
C68=90+(606.476×0.8409)=90+519.738=607.738 mgC_{68} = 90 + (606.476 \times 0.8409) = 90 + 519.738 = 607.738 \, \text{mg}C68=90+(606.476×0.8409)=90+519.738=607.738mg
69. nedelja:
C69=90+(607.738×0.8409)=90C_{69} = 90 + (607.738 \times 0.8409) = 90C69=90+(607.738×0.8409)=90
You said:
Otkud pad u 69 nedelji na samo 90?
ChatGPT said:
ChatGPT
Izvinjavam se na grešci u proračunima. U pravu ste, koncentracije ne bi smele da padnu na 90 mg jer bi to značilo da lek nestaje iz sistema. Da bih ispravio grešku, ponovo ćemo da izračunamo koncentracije na osnovu pravilne formule i da se pridržavamo sve dosadašnje logike.
Ponovo ćemo koristiti formulu:
Cn=Pocˇetna doza+(Koncentracija iz prethodne nedelje×0.8409)C_n = \text{Početna doza} + (\text{Koncentracija iz prethodne nedelje} \times 0.8409)Cn=Pocˇetna doza+(Koncentracija iz prethodne nedelje×0.8409)
Za svaku narednu nedelju se dodaje nova doza od 90 mg i prethodna koncentracija opada prema faktoru 0.8409 (poluvreme 28 dana).
Počnimo ispočetka od 60. nedelje i nastavimo tačno sa svim korekcijama:
60. nedelja:
C60=90+(597.595×0.8409)=90+503.614=593.614 mgC_{60} = 90 + (597.595 \times 0.8409) = 90 + 503.614 = 593.614 \, \text{mg}C60=90+(597.595×0.8409)=90+503.614=593.614mg
61. nedelja:
C61=90+(593.614×0.8409)=90+499.885=589.885 mgC_{61} = 90 + (593.614 \times 0.8409) = 90 + 499.885 = 589.885 \, \text{mg}C61=90+(593.614×0.8409)=90+499.885=589.885mg
62. nedelja:
C62=90+(589.885×0.8409)=90+495.952=585.952 mgC_{62} = 90 + (589.885 \times 0.8409) = 90 + 495.952 = 585.952 \, \text{mg}C62=90+(589.885×0.8409)=90+495.952=585.952mg
63. nedelja:
C63=90+(585.952×0.8409)=90+492.030=582.030 mgC_{63} = 90 + (585.952 \times 0.8409) = 90 + 492.030 = 582.030 \, \text{mg}C63=90+(585.952×0.8409)=90+492.030=582.030mg
64. nedelja:
C64=90+(582.030×0.8409)=90+488.102=578.102 mgC_{64} = 90 + (582.030 \times 0.8409) = 90 + 488.102 = 578.102 \, \text{mg}C64=90+(582.030×0.8409)=90+488.102=578.102mg
65. nedelja:
C65=90+(578.102×0.8409)=90+484.175=574.175 mgC_{65} = 90 + (578.102 \times 0.8409) = 90 + 484.175 = 574.175 \, \text{mg}C65=90+(578.102×0.8409)=90+484.175=574.175mg
66. nedelja:
C66=90+(574.175×0.8409)=90+480.250=570.250 mgC_{66} = 90 + (574.175 \times 0.8409) = 90 + 480.250 = 570.250 \, \text{mg}C66=90+(574.175×0.8409)=90+480.250=570.250mg
67. nedelja:
C67=90+(570.250×0.8409)=90+476.324=566.324 mgC_{67} = 90 + (570.250 \times 0.8409) = 90 + 476.324 = 566.324 \, \text{mg}C67=90+(570.250×0.8409)=90+476.324=566.324mg
68. nedelja:
C68=90+(566.324×0.8409)=90+472.397=562.397 mgC_{68} = 90 + (566.324 \times 0.8409) = 90 + 472.397 = 562.397 \, \text{mg}C68=90+(566.324×0.8409)=90+472.397=562.397mg
69. nedelja:
C69=90+(562.397×0.8409)=90+468.469=558.469 mgC_{69} = 90 + (562.397 \times 0.8409) = 90 + 468.469 = 558.469 \, \text{mg}C69=90+(562.397×0.8409)=90+468.469=558.469mg
70. nedelja:
C70=90+(558.469×0.8409)=90+464.539=554.539 mgC_{70} = 90 + (558.469 \times 0.8409) = 90 + 464.539 = 554.539 \, \text{mg}C70=90+(558.469×0.8409)=90+464.539=554.539mg
Sada su koncentracije tačno računane sa doslednim opadanjem i pravilnim dodavanjem nove doze svake nedelje.
Nadam se da sada sve izgleda jasno. Ako imate još pitanja, slobodno se obratite!
You said:
C 51 =90+75.68+63.64+53.59+45.37+38.17+32.13+26.97+22.67+19.11+16.05+13.47+11.32+9.51+8.00+6.72+5.65+4.70+3.94+3.30+2.77+2.32+1.98+1.69+1.47+1.28+1.10+0.94+0.79+0.66+0.57+0.49+0.42+0.36+0.30+0.25+0.21+0.18+0.15+0.13+0.11+0.10+0.09+0.08+0.07+0.06+0.05+0.04+0.03+0.02+0.01=558.36mg 52. nedelja:
