  This paper presents a mathematical model of blood volume kinetics and renal
function in response to burn injury and resuscitation, which is applicable to
the development and non-clinical testing of burn resuscitation protocols and
algorithms. Prior mathematical models of burn injury and resuscitation are not
ideally suited to such applications due to their limited credibility in
predicting blood volume and urinary output observed in wide-ranging burn
patients as well as in incorporating contemporary knowledge of burn
pathophysiology. Our mathematical model consists of an established
multi-compartmental model of blood volume kinetics, a hybrid
mechanistic-phenomenological model of renal function, and novel
lumped-parameter models of burn-induced perturbations in volume kinetics and
renal function equipped with contemporary knowledge on burn-related physiology
and pathophysiology. Using the dataset collected from 16 sheep, we showed that
our mathematical model can be characterized with physiologically plausible
parameter values to accurately predict blood volume kinetic and renal function
responses to burn injury and resuscitation on an individual basis against a
wide range of pathophysiological variability. Pending validation in humans, our
mathematical model may serve as an effective basis for an in-depth
understanding of complex burn-induced volume kinetic and renal function
responses as well as development and non-clinical testing of burn resuscitation
protocols and algorithms. Keywords: Mathematical Model, Burn Injury, Burn
Resuscitation, Non-Clinical Testing, Burn Resuscitation Protocols, and
Algorithms
