Isometric & Allometric Scaling of Metabolic Rate (BIOB34)

Week 2 \| Day 2 \| BIOB34 (Thursday, Sept. 12th, 9:10 AM) [Isometric Scaling of Metabolic Rate] ↓ The bigger the mass, the higher the metabolic rate (generally) If you take a chunk of mass from each animal and measure its metabolic rate, it would be the ↑ same ↓ The bigger the animal, the slower...

Week 2 \| Day 2 \| BIOB34 (Thursday, Sept. 12th, 9:10 AM) [Isometric Scaling of Metabolic Rate] ↓ The bigger the mass, the higher the metabolic rate (generally) If you take a chunk of mass from each animal and measure its metabolic rate, it would be the ↑ same ↓ The bigger the animal, the slower its metabolic rate in comparison to its size  If we were to take a chunk of each animal, the metabolic rate (by chunk) would be different (bigger animal's chunk is slower metabolic rate) ↑ - - [Scaling Exponent] - - Whole-animal metabolic rate: *MR = a* [×]{.math.inline} *(Mass)^b^* Mass-specific metabolic rate: [\$\\frac{\\text{MR}}{\\text{Mass}} = \\ \\frac{{{\\text{a\\ } \\times \\text{\\ Mas}s\^{b}}\^{}}\^{}}{\\text{Mass}} = \\ a \\times \\text{\\ Mas}s\^{(b - 1)}\$]{.math.inline} Where: *a* = scaling coefficient *b* = scaling exponent If you want to "linearize" the equation: Whole-animal metabolic rate: *log (MR) = log (a) + b* [×]{.math.inline} *(log(Mass))* Mass-specific metabolic rate: *log* [\$\\frac{\\text{MR}}{\\text{Mass}}\$]{.math.inline} *= log(a) + (b-1)* [×]{.math.inline} *(log(Mass))* [Why Is the Scaling Exponent \< 1 for Basal Metabolic Rate in Mammals?] - - - - - - - [Scaling Exponent for Basal Metabolic Rate in Mammals] - - - - - - Kleiber's Law: for the vast majority of animals, an animal\'s metabolic rate scales to the 3⁄4 power of the animal\'s mass - - - - - [Different Scaling Exponents for Different Activity States (Eg. VO~2max~)] VO~2max~: maximum oxygen uptake - - - - -