Filtering by
- All Subjects: Persistence
- All Subjects: Weight gain
- Creators: Herman, Richard
- Creators: Thieme, Horst
- Status: Published
+ 1 phage, with explicit nutrient, where the jth phage strain infects the first j bacterial strains, a perfectly nested infection network (NIN). This system is subject to trade-off conditions on the life-history traits of both bacteria and phage given in an earlier study Jover et al. (2013). Sufficient conditions are provided to show that a bacteria-phage community of arbitrary size with NIN can arise through the succession of permanent subcommunities, by the successive addition of one new population. Using uniform persistence theory, this entire community is shown to be permanent (uniformly persistent), meaning that all populations ultimately survive.
It is shown that a modified version of the original NIN Lotka-Volterra model with implicit nutrient considered by Jover et al. (2013) is permanent. A new one-to-one infection network (OIN) is also considered where each bacterium is infected by only one phage, and that phage infects only that bacterium. This model does not use the trade-offs on phage infection range, and bacterium resistance to phage. The OIN model is shown to be permanent, and using Lyapunov function theory, coupled with LaSalle’s Invariance Principle, the unique coexistence equilibrium associated with the NIN is globally asymptotically stable provided that the inter- and intra-specific bacterial competition coefficients are equal across all bacteria.
Finally, the OIN model is extended to a “Kill the Winner” (KtW) Lotka-Volterra model
of marine communities consisting of bacteria, phage, and zooplankton. The zooplankton
acts as a super bacteriophage, which infects all bacteria. This model is shown to be permanent.
Obesity has reached epidemic proportions all around the world, and it has doubled in prevalence in both adults and children in over 70 countries from 1980 to 2015 (Afshin et al., 2017). Excessive weight gain in this proportion has been shown to negatively affect human cognition, reward neurocircuitry, stress responsiveness, and quality of life (Morris et al., 2015). Obesity is an example of a complex interaction between the environment (i.e., high-fat diets) and heredity (i.e., polygenic patterns of inheritance). The overconsumption of a high-fat diet (HFD) is an environmental factor that commonly induces weight gain (Hariri & Thibault, 2010). Two dietary-induced phenotypes have been observed in rats as a bimodal distribution of weight gain: obesity-prone (OP) and obesity-resistant (OR). Levin et al. (1997) investigated male and female HFD-fed Sprague-Dawley rats designated as OR when their weight gains were less than the heaviest chow-fed controls, and OP when their weight gains were greater than the heaviest chow-fed controls. OP rats showed greater weight gain, similar energy intake (EI), and similar feed efficiency (FE) compared to OR rats. Pagliassotti et al. (1997) designated male HFD-fed Wistar rats as OP and OR based on upper and lower tertiles of weight gain. OP rats displayed greater weight gain and EI than OR rats. These investigations highlight a predicament regarding rodent research in obesity: independent variables such as rat age, gender, strain, distribution of dietary macronutrients, and fatty acid composition of HFD and chow vary considerably, making it challenging to generalize data. Our experiment utilized outbred male Sprague-Dawley rats (5-6 weeks) administered a chow diet (19% energy from fat; 3.1 kcal/g) and a lard-based HFD (60% energy from fat; 5.24 kcal/g) over eight weeks. Separate rat populations were examined over three consecutive years (2017-2020), and independent obesogenic environmental variables were controlled. We investigated the persistence of weight gain, EI, and FE in HFD-fed rats inclusive of a population of designated OP and OR rats based on tertiles of weight gain. We define persistence as being p > 0.05. We hypothesize that the profiles (periodic data) of the dependent variables (weight gain, EI, FE) will be similar and persistent throughout the three separate years, but the magnitudes (cumulative data) of the dependent variables will differ. Our findings demonstrate that HFD, OP, and OR groups were persistent for periodic and cumulative weight gain, along with FE across the three consecutive independent years. Our findings also demonstrate impersistence for periodic EI in all groups, along with impersistence in cumulative EI for CHOW, OP, and OR groups. Therefore, our results allude to an inconsistent relationship between EI and weight gain, indicating that EI does not completely explain weight gain. Thus, the weakness between EI and weight gain relationship may be attributed to a polygenic pattern of inheritance, possibly signaling a weight setpoint regardless of EI.
Obesity has reached epidemic proportions all around the world, and it has doubled in prevalence in both adults and children in over 70 countries from 1980 to 2015 (Afshin et al., 2017). Excessive weight gain in this proportion has been shown to negatively affect human cognition, reward neurocircuitry, stress responsiveness, and quality of life (Morris et al., 2015). Obesity is an example of a complex interaction between the environment (i.e., high fat diets) and heredity (i.e., polygenic patterns of inheritance). The overconsumption of a high-fat diet (HFD) is an environmental factor that commonly induces weight gain (Hariri & Thibault, 2010). Two dietary-induced phenotypes have been observed in rats as a bimodal distribution of weight gain: obesity-prone (OP) and obesity-resistant (OR). Levin et al. (1997) investigated male and female HFD-fed Sprague-Dawley rats designated as OR when their weight gains were less than the heaviest chow-fed controls, and OP when their weight gains were greater than the heaviest chow-fed controls. OP rats showed greater weight gain, similar energy intake (EI), and similar feed efficiency (FE) compared to OR rats. Pagliassotti et al. (1997) designated male HFD-fed Wistar rats as OP and OR based on upper and lower tertiles of weight gain. OP rats displayed greater weight gain and EI than OR rats. These investigations highlight a predicament regarding rodent research in obesity: independent variables such as rat age, gender, strain, distribution of dietary macronutrients, and fatty acid composition of HFD and chow vary considerably, making it challenging to generalize data. Our experiment utilized outbred male Sprague-Dawley rats (5-6 weeks) administered a chow diet (19% energy from fat; 3.1 kcal/g) and a lard-based HFD (60% energy from fat; 5.24 kcal/g) over eight weeks. Separate rat populations were examined over three consecutive years (2017-2020), and independent obesogenic environmental variables were controlled. We investigated the persistence of weight gain, EI, and FE in HFD-fed rats inclusive of a population of designated OP and OR rats based on tertiles of weight gain. We define persistence as being p > 0.05. We hypothesize that the profiles (periodic data) of the dependent variables (weight gain, EI, FE) will be similar and persistent throughout the three separate years, but the magnitudes (cumulative data) of the dependent variables will differ. Our findings demonstrate that HFD, OP, and OR groups were persistent for periodic and cumulative weight gain, along with FE across the three consecutive independent years. Our findings also demonstrate impersistence for periodic EI in all groups, along with impersistence in cumulative EI for CHOW, OP, and OR groups. Therefore, our results allude to an inconsistent relationship between EI and weight gain, indicating that EI does not completely explain weight gain. Thus, the weakness between EI and weight gain relationship may be attributed to a polygenic pattern of inheritance, possibly signaling a weight setpoint regardless of EI.