Discrepancies between actual, viable spore populations and those predi
cted by a classical model during heat sterilization of food and pharma
ceutical products have long concerned food engineers and scientists as
they pursue new sterilization techniques, including ultra-high temper
ature processes. Among potential causes of those discrepancies, activa
tion of dormant spores is significant, and models addressing that fact
or were developed recently. This paper reviews historic and current vi
ews on the biology and models of microbial spore populations during he
at sterilization. Activation and inactivation of viable spores are emp
hasized, with each viewed as a first-order reaction. Rate constants of
those reactions may differ significantly, inactivation rates of dorma
nt and activated spores may differ, and variations of all rate constan
ts with temperature appear to be well described by Arrhenius equations
. Model-based analyses show how categories of survivor response curves
observed during isothermal heat treatments can arise from simultaneou
s activation and inactivation of spores in an overall population. Effe
cts of different distributions of initial subpopulations, different di
stributions of rate constants, and 'heat shock' for homogenizing an in
dicator population are shown. The complexity of new, multiple process
models has not increased greatly, but the potential for accurate, dyna
mic prediction of product safety after prescribed sterilization has. T
he relevant biology is understood and accounted for more thoroughly, a
nd it is anticipated that the new models will aid design and evaluatio
n of new and improved sterilization processes for food and pharmaceuti
cals.