Bagdonavicius, V.; Nikulin, M. Mathematical modelling of failure-time in dynamic environment. [Abstract] New classes of mathematical models describing dependence of the lifetime distribution on the explanatory variables will be considered. Such models are used in survival analysis and reliability theory analyzing results of accelerated life testing. [AMS subject classifications:] 62 F10, 62 J05, 62 G05, 62 N05 [Keywords and phrases]: Arrhenius model, accelerated life models, additive accumulation of damages model, changing shape and scale model, Cox model, covariable, cross-effects of hazard rates, Eyring model, exponential distribution, frailty model, gamma frailty model, generalized probit model, generalized proportional hazards model, generalized logistic regression model, generalized proportional odds-rate model, generalized additive model, generalized additive-multiplicative model, heredity principle,inverse gaussian frailty model, linear transformation model, log-linear model, Meeker-Luvalle model, Peshes-Stepanova model, periodic stress, power rule model, reliability, resource, Sedyakin's model, step-stress, survival function, switch-on's and switch-off's effects, tampered failure rate model, Weibull distribution. English, 33 pp. [E-mail of contact person] nikou@mi2s.u-bordeaux2.fr