Comput Math Methods Med - Optimal control of HIV dynamic using embedding method.

Tópicos

{ problem(2511) optim(1539) algorithm(950) }
{ control(1307) perform(991) simul(935) }
{ patient(2315) diseas(1263) diabet(1191) }
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{ compound(1573) activ(1297) structur(1058) }
{ record(1888) medic(1808) patient(1693) }
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{ cost(1906) reduc(1198) effect(832) }
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{ ehr(2073) health(1662) electron(1139) }
{ patient(2837) hospit(1953) medic(668) }
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{ data(2317) use(1299) case(1017) }
{ age(1611) year(1155) adult(843) }
{ medic(1828) order(1363) alert(1069) }
{ signal(2180) analysi(812) frequenc(800) }
{ group(2977) signific(1463) compar(1072) }
{ sampl(1606) size(1419) use(1276) }
{ gene(2352) biolog(1181) express(1162) }
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{ intervent(3218) particip(2042) group(1664) }
{ patient(1821) servic(1111) care(1106) }
{ use(2086) technolog(871) perceiv(783) }
{ analysi(2126) use(1163) compon(1037) }
{ health(1844) social(1437) communiti(874) }
{ high(1669) rate(1365) level(1280) }
{ use(976) code(926) identifi(902) }
{ use(1733) differ(960) four(931) }
{ drug(1928) target(777) effect(648) }
{ result(1111) use(1088) new(759) }
{ survey(1388) particip(1329) question(1065) }
{ estim(2440) model(1874) function(577) }
{ process(1125) use(805) approach(778) }
{ method(1969) cluster(1462) data(1082) }
{ detect(2391) sensit(1101) algorithm(908) }

Resumo

This present study proposes an optimal control problem, with the final goal of implementing an optimal treatment protocol which could maximize the survival time of patients and minimize the cost of drug utilizing a system of ordinary differential equations which describes the interaction of the immune system with the human immunodeficiency virus (HIV). Optimal control problem transfers into a modified problem in measure space using an embedding method in which the existence of optimal solution is guaranteed by compactness of the space. Then the metamorphosed problem is approximated by a linear programming (LP) problem, and by solving this LP problem a suboptimal piecewise constant control function, which is more practical from the clinical viewpoint, is achieved. The comparison between the immune system dynamics in treated and untreated patients is introduced. Finally, the relationships between the healthy cells and virus are shown.

Resumo Limpo

present studi propos optim control problem final goal implement optim treatment protocol maxim surviv time patient minim cost drug util system ordinari differenti equat describ interact immun system human immunodefici virus hiv optim control problem transfer modifi problem measur space use embed method exist optim solut guarante compact space metamorphos problem approxim linear program lp problem solv lp problem suboptim piecewis constant control function practic clinic viewpoint achiev comparison immun system dynam treat untreat patient introduc final relationship healthi cell virus shown

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