Comput Math Methods Med - Theorems and application of local activity of CNN with five state variables and one port.

Tópicos

{ model(3480) simul(1196) paramet(876) }
{ network(2748) neural(1063) input(814) }
{ can(774) often(719) complex(702) }
{ measur(2081) correl(1212) valu(896) }
{ control(1307) perform(991) simul(935) }
{ gene(2352) biolog(1181) express(1162) }
{ motion(1329) object(1292) video(1091) }
{ assess(1506) score(1403) qualiti(1306) }
{ data(1714) softwar(1251) tool(1186) }
{ monitor(1329) mobil(1314) devic(1160) }
{ system(1976) rule(880) can(841) }
{ error(1145) method(1030) estim(1020) }
{ model(2220) cell(1177) simul(1124) }
{ group(2977) signific(1463) compar(1072) }
{ treatment(1704) effect(941) patient(846) }
{ framework(1458) process(801) describ(734) }
{ problem(2511) optim(1539) algorithm(950) }
{ clinic(1479) use(1117) guidelin(835) }
{ method(1557) propos(1049) approach(1037) }
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{ first(2504) two(1366) second(1323) }
{ intervent(3218) particip(2042) group(1664) }
{ activ(1138) subject(705) human(624) }
{ time(1939) patient(1703) rate(768) }
{ patient(1821) servic(1111) care(1106) }
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{ activ(1452) weight(1219) physic(1104) }
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{ method(2212) result(1239) propos(1039) }
{ detect(2391) sensit(1101) algorithm(908) }

Resumo

Coupled nonlinear dynamical systems have been widely studied recently. However, the dynamical properties of these systems are difficult to deal with. The local activity of cellular neural network (CNN) has provided a powerful tool for studying the emergence of complex patterns in a homogeneous lattice, which is composed of coupled cells. In this paper, the analytical criteria for the local activity in reaction-diffusion CNN with five state variables and one port are presented, which consists of four theorems, including a serial of inequalities involving CNN parameters. These theorems can be used for calculating the bifurcation diagram to determine or analyze the emergence of complex dynamic patterns, such as chaos. As a case study, a reaction-diffusion CNN of hepatitis B Virus (HBV) mutation-selection model is analyzed and simulated, the bifurcation diagram is calculated. Using the diagram, numerical simulations of this CNN model provide reasonable explanations of complex mutant phenomena during therapy. Therefore, it is demonstrated that the local activity of CNN provides a practical tool for the complex dynamics study of some coupled nonlinear systems.

Resumo Limpo

coupl nonlinear dynam system wide studi recent howev dynam properti system difficult deal local activ cellular neural network cnn provid power tool studi emerg complex pattern homogen lattic compos coupl cell paper analyt criteria local activ reactiondiffus cnn five state variabl one port present consist four theorem includ serial inequ involv cnn paramet theorem can use calcul bifurc diagram determin analyz emerg complex dynam pattern chao case studi reactiondiffus cnn hepat b virus hbv mutationselect model analyz simul bifurc diagram calcul use diagram numer simul cnn model provid reason explan complex mutant phenomena therapi therefor demonstr local activ cnn provid practic tool complex dynam studi coupl nonlinear system

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