Age-Specific Mortality Rate Analyses Suggest Response from Caloric Restriction and Hormesis are Due to Separate Mechanicms
Patricia J. Neafsey, Ph.D.
Associate Professor, University of Connecticut,
School of Nursing, Box U-26, Storrs, CT 06269
Tel: (860) 486-0508, Fax: (860) 486-0512
E-mail: pneafsey@uconnvm.uconn.edu
The contention that caloric restriction (CR) is a hormetic agent is untenable when one examines
mortality functions of laboratory animals subjected to CR versus those chronically exposed to hormetic agents. The use
of Gompertz age-specific mortality rate analyses can be used in phenomenological mathematical models to separate
out the contributions of CR and hormesis on the lifetime mortality of a group of animals.
The effect of CR is to decrease the
slope of the linear Gompertz function (Fig. 1).
Animals subjected to CR typically have
lower body weights than controls. At very low doses, hormetic agents
displace the linear Gompertz function downward in a parallel fashion (Fig. 2) and animals typically exhibit
higher body weights than controls. Chronic exposure to toxic agents that do not induce hormesis
increase the slope of the linear Gompertz function (Fig. 3).
Agents that produce hormesis cause toxicity at some dose. The effects of hormesis combined with the effects
of chronic toxicity produce a characteristic "silver spoon" perturbation to the linear Gompertz function (Fig. 4).
How do the separate effects of CR, hormesis, and toxicity impact the mortality experience of a group of
laboratory animals and potentially confound the interpretation of chronic toxicity studies?
Since CR and chronic toxicity displace the linear Gompertz function in opposite directions (CR decreases
the slope; chronic toxicity increases the slope), laboratory animals experiencing inanition from chronic exposure to
a toxic substance may benefit from the health effects of the CR thus clouding the interpretation of the study.
The effect of depressed food intake has long been appreciated as a confounding variable in animal nutrition studies.
Well-designed animal nutrition studies employ a
pair-fed control group, i.e. one that is fed the control diet in the
amount consumed by the nutrient depleted group. The use of pair-fed controls in bioassay studies would permit effects
from depressed food intake to be factored out from those survival effects due to longevity hormesis and cumulative
toxicity (Fig. 5).
Chronic studies are rarely conducted for the lifespan of the animal. A 2-yr rat study (assumed equivalent to
70 man-years) essentially ignores the cumulative impact of exposure on the aging animal. For agents that
produce hormesis with toxicity, the hormetic effect can mask toxic effects at early ages and (usually) at low doses. Could
the lack of apparent toxicity at early ages (signified by equivocal pathological results) be due to the confounding
effects of hormesis? If the 2-year protocol were changed to lifetime studies, would late-life toxic effects be evident
from exposures that produced no significant toxicity at earlier ages? If longevity hormesis does not actually occur
in humans and is a phenomenon only observable in laboratory settings the implications are enormous.
On the other hand, if longevity hormesis is a phenomenon that occurs in humans, one can not assume
hormetic agents have any benefit. With the plethora of mild environmental stresses that modern populations are exposed
to (both chemical and physical, naturally occurring and man-made), would the separate hormetic contributions
from each of these stresses be additive or
would they saturate while and the same time the irreversible toxic effects of the
stresses accumulate? The hormetic "machinery" in humans may already be "up-regulated" to maximal levels.
Additional stresses from agents with combined toxic and hormetic effects might result in additional toxic injury without
additional hormetic dissipation of injury.
The neoplastic and non-neoplastic pathologies seen in laboratory animals exposed to toxicants result from
the interplay of effects from aging, depressed food intake, hormesis, and toxicity. Future toxicity studies should
include pair-fed controls (e.g. NTP, 1997). Age-specific mortality rate analyses would better enable toxicologists to identify
the separate contributions of aging, depressed food intake, longevity hormesis, and toxicity to mortality in both
chronic and short-term exposure studies (Neafsey et al. 1989b, Neafsey and Lowrie 1993, 1994, 1995).
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Fig. 1: The effect of CR is to decrease the slope of the linear Gompertz function.
Gompertz plots of Napierian logarithms of age-specific mortality rates versus time for control male F344 rats fed
ad libitum (Group 1) and food-restricted rats (Group 2). Food-restricted rats were fed 60% of the mean caloric intake
of Group 1 rats until 18 months of age and maintained at that level until death. Original data were obtained from Yu
et al., 1985. Time on the abscissa refers to that period following the start of the experiment (0 time = 6 weeks of
age). Redrawn from Fig. 1 of Neafsey et al., 1989a. Permission granted by Marcel Dekker, Inc.
Fig. 2: At very low doses, hormetic agents displace the linear Gompertz function downward in a parallel fashion.
Gompertz plots of Napierian logarithms of age-specific mortality rates (estimated Gompertzians signified by ln
Wx) versus time for control and methylene chloride-treated female hamsters. Methylene chloride vapor exposure
(3500 ppm, 6 h/day, 5 days/week) was begun at 8 weeks of age and continued an additional 2 years. Time on the
abscissa refers to that period following initiation of exposure. Original survival data were obtained from Burek et al.
(1984). Reproduced from Fig. 7 of Neafsey et al. (1988). Permission granted by Marcel Dekker, Inc.

Fig. 3: Chronic exposure to toxic agents that do not induce hormesis increase the slope of the linear
Gompertz function.
Gompertz plots of Napierian logarithms of age-specific mortality rates (estimated Gompertzians signified by ln
Wx) versus time for control and methylene chloride-treated female SD rats. Methylene chloride vapor exposure
(3500 ppm, 6 h/day, 5 days/week) was begun at 8 weeks of age and continued an additional 2 years. Time on the
abscissa refers to that period following initiation of exposure. Original survival data were obtained from Burek et al.
(1984). Reproduced from Fig. 8 of Neafsey et al. (1988). Permission granted by Marcel Dekker, Inc.
Fig. 4: The effects of hormesis combined with the effects of chronic toxicity produce a characteristic "silver
spoon" perturbation to the linear Gompertz function.
Gompertz plots of Napierian logarithms of age-specific mortality rates (estimated Gompertzians signified by ln
Wx) versus time for control and ethyl acrylate vapor-exposed male F344 rats. Exposure (75 ppm, 6 h/day, 5 days/week)
was begun at 7-9 weeks of age and continued for 27 months. Time on the abscissa refers to that period following
initiation of exposure. Original survival data were obtained from Miller et al. (1985). Reproduced from Fig. 6 of Neafsey et
al. (1988). Permission granted by Marcel Dekker, Inc.
Fig. 5: The use of pair-fed controls in bioassay studies would permit effects from depressed food intake to be
factored out from those survival effects due to longevity hormesis and cumulative toxicity.
Gompertz plots of Napierian logarithms of age-specific mortality rates (estimated Gompertzians signified by ln
Wx) versus time. There were 3 groups of animals 1) controls fed ad libitum (0 ppm); 2) pair-fed controls; and 3)
animals exposed to 1800 ppm chloroform beginning at 7 weeks of age and continuing for an additional 104 weeks. Time
on the abscissa refers to that period following initiation of exposure. Original survival data were obtained from
Jorgenson et al. (1985). Reproduced from Fig. 9 of Neafsey et al. (1988). Permission granted by Marcel Dekker, Inc.