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In animals, the rate of sequence change appears to vary as a function of metabolic rate as well as generation time. Gillooly and colleagues have recently attempted to unify these data with the original classic neutral model of evolution. According to their model, the molecular clock ticks at one substitution "per unit of mass-specific metabolic energy" rather than per unit time. Here is Gillooly's paper, along with two of the original papers that raised the issue of metabolic rate:

Biology

Chapter 7

Mendelian Genetics in Populations II: Migration, Drift, and Nonrandom Mating

Mendelian Genetics

Life - A Darwinian Approach

Population Evolution

Millikin University

University of Pennsylvania

Florida State University

Lectures

0:00

In chemistry and physics, …

In biology, the elements o…

04:09

The metabolic rate of a pe…

09:24

Rates of evolutionary chan…

04:59

Metabolic Rate The average…

02:51

A study conducted at the U…

03:11

By analyzing available emp…

01:38

In Exercises $39-46,$ use …

01:36

The average daily metaboli…

01:28

Refer to the following:

01:33

02:01

Holstein Dairy Cattle Rese…

it's problem. We have been given an equation showing the thermic effect of food on a person. And this function is in terms of T where t is the number of hours have elapsed since you've eaten the meal. So we want to know where this function is increasing and where it is decreasing. To do that, we need to start by finding the derivative. So the derivative of this function is going to be 175.9 times the derivative of this piece that's in red. So this is a product. So it's gonna be the first times the derivative of the second. And I do have to multiply that by the derivative of that, um, exponents. So that's gonna be times negative 1/1 0.3 plus the second times, the derivative of the first. Hey, Now they do have something in common so I can pull out. In addition to the 175.9, I can pull out E to the negative t divided by 1.3 and what I have left his negative t over 1.3 plus one. So I'm gonna box this in green. I don't want to lose this. This is the equation of our derivatives. Now to know where our function is increasing and decreasing, we need to find where this derivative equation equals zero. So that will tell us places where I could be switching from pop from increasing the decreasing or from decreasing to increase it. So let's set this equal to zero. Well, this piece here e to anything each any exponents will never equal zero. So if I want this function equals zero, the only piece that could possibly equals zero is this factor right here. Negative t divided by 1.3 plus one. I'm gonna set that equal to zero. I have negative t over 1.3 equals negative one or T equals 1.3. So that is a point at which I could be switching from increasing the decreasing, or vice versa. So if I want to look at my intervals, I'm going to start it. Zero. That's when I eat my meal. I need toe Look where t is 1.3 and then I don't have anything else. But I do need to look at what's happening in that interval from 1.3 and beyond out toward infinity. So two different intervals and I'm going to just pick a random point in each one of those and plug it into are derivative equation. So I'm gonna take one as a representative point of that first interval, and I'm gonna take two as a representative point of that second interval and let's see what the value of the derivative is. Well, the derivative function evaluated it. One gives me a value of 18.809 That is a positive slope. A positive slope means my function is increasing by Plug in to I get a value of negative 20.34 A negative derivative means a negative slope. I am decreasing, so I am increasing on the interval from zero toe 1.3, and I am decreasing on the interval from 1.3 out to infinity. What does this mean? Well, it means that after I eat a meal until about 1.3 hours after the meal is done, the thermic effect of food is increasing after 1.3 hours. Once the meal is over, the thermic effect of food will start to decrease and We'll just keep dropping off until eventually it will just peter out. So these are my intervals on which this function is increasing and decreasing.

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

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