Salmonella cells in two sugar-rich media were heat treated at various const
ant temperatures in the range of 55 to 80 degreesC and their survival ratio
s determined at various time intervals. The resulting nonlinear semilogarit
hmic survival curves are described by the model log(10)S(t) = -b(T)t(n(T))
where S(t) is the momentary survival ratio N(t)/N-0, and b(T) and n(T) are
coefficients whose temperature dependence is described by two empirical mat
hematical models. When the temperature profile, T(t), of a nonisothermal he
at treatment can also be expressed algebraically, b(T) and n(T) can be tran
sformed into a function of time, i.e., b[T(t)] and n[T(t)]. If the momentar
y inactivation rate primarily depends on the momentary temperature and surv
ival ratio, then the survival curve under nonisothermal conditions can be c
onstructed by solving a differential equation, previously suggested by Pele
g and Penchina, whose coefficients are expressions that contain the corresp
onding b[T(t)] and n[T(t)] terms. The applicability of the model and its un
derlying assumptions was tested with a series of eight experiments in which
the Salmonella cells, in the same media, were heated at various rates to s
elected temperatures in the range of 65 to 80 degreesC and then cooled. In
all the experiments, there was an agreement between the predicted and obser
ved survival curves. This suggests that, at least in the case of Salmonella
in the tested media, survival during nonisothermal inactivation can be est
imated without assuming any mortality kinetics.