Allometry in Biological Growth

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

Which type of allometry involves changes in body proportions as size changes?

  • Anatomical isometry
  • Physiological isometry
  • Physiological allometry
  • Anatomical allometry (correct)

What does the 'b' represent in the allometric equation $M = aW^b$?

  • The mass exponent (correct)
  • The y-intercept of the relationship
  • The proportionality constant
  • The base of the natural logarithm

If an animal exhibits isometry, what happens to its body proportions as it grows larger?

  • Proportions increase exponentially with size
  • Proportions decrease exponentially with size
  • Proportions remain constant with size (correct)
  • Proportions increase linearly with size

Considering the allometric relationship between basal metabolic rate (BMR) and body mass, how is the equation $M = aW^b$ typically represented on a log-log scale?

<p>As a straight line (D)</p> Signup and view all the answers

What does the term 'allos' (from Greek) signify in the context of allometry?

<p>Different (D)</p> Signup and view all the answers

What is the predicted heart rate for a Pygmy shrew based on its mass?

<p>3000 beats/min (D)</p> Signup and view all the answers

What evolutionary solution is suggested for the Pygmy shrew's heart rate?

<p>The heart rate is capped due to physical constraints of cardiac muscle. (C)</p> Signup and view all the answers

What is the predicted relationship between heart mass and body mass in mammals?

<p>Heart mass scales as $M^{0.98}$. (B)</p> Signup and view all the answers

Why do lungs not scale with aerobic capacity in mammals?

<p>Lungs have a higher mass exponent compared to metabolic rate. (A)</p> Signup and view all the answers

What is a notable characteristic of the pronghorn in terms of mammalian cardiac scaling?

<p>It exhibits a significantly higher maximum heart rate. (A)</p> Signup and view all the answers

What is the relationship represented by the equation $log M = log a + b log W$?

<p>A linear relationship involving a logarithmic scale. (A)</p> Signup and view all the answers

In the context of basal metabolic rate (BMR), what does the exponent $0.72$ signify?

<p>The mass exponent in the scaling of BMR. (A)</p> Signup and view all the answers

What does the formula $BMR = 70M^{0.72}$ indicate?

<p>The relationship between BMR and mass with a specific coefficient. (C)</p> Signup and view all the answers

Why do smaller animals require a higher metabolism according to the concept of metabolic allometry?

<p>They have a higher surface area relative to volume and lose heat more quickly. (C)</p> Signup and view all the answers

Which of the following is correctly associated with the scaling of maximal metabolic rate ($VO2 max$)?

<p>It scales as $b=0.86$ for larger mammals like elephants. (C)</p> Signup and view all the answers

What does $BMR/g = 70W^{-0.28}$ represent in biological terms?

<p>The metabolic rate per unit of mass. (B)</p> Signup and view all the answers

How does ectotherm metabolism scale, according to the information provided?

<p>It scales similarly to endotherms, around $0.75$. (A)</p> Signup and view all the answers

What kind of adaptations might scaling constraints require in animals?

<p>Novel adaptations across numerous systems. (B)</p> Signup and view all the answers

Flashcards

Physiological Allometry

The study of how body size influences physiological characteristics.

Anatomical Allometry

Changes in proportions of body parts related to changes in overall body size.

Basal Metabolic Rate (BMR) and Allometry

The relationship between body size and basal metabolic rate (BMR) follows a power law, meaning that the rate of metabolism increases with body size, but not at the same rate.

Allometric Equation: M=aWb

The specific formula that describes the relationship between body mass (M) and basal metabolic rate (BMR). The exponent 'b' is the key factor in understanding how BMR scales with size.

Signup and view all the flashcards

Log Axis Scales & Allometry

A straight line can be created by plotting BMR and body mass on log axes.

Signup and view all the flashcards

Heart Rate

The rate at which the heart beats per minute.

Signup and view all the flashcards

Heart Rate Allometry

The relationship between heart rate and body mass in mammals is described by a mathematical equation known as the allometric equation. This equation predicts the heart rate based on the animal's mass.

Signup and view all the flashcards

Informative Exceptions

Indicates that certain physiological properties scale differently with body mass than the expected pattern. This suggests unique adaptations or constraints.

Signup and view all the flashcards

VO2max

The maximum rate of oxygen consumption during intense exercise.

Signup and view all the flashcards

Metabolic Allometry

The relationship between metabolic rate (BMR) and body mass (M) follows a power law, meaning that BMR increases with M, but not at the same rate. It can be represented by the equation: BMR = 70M^0.72

Signup and view all the flashcards

Mass Exponent (b)

The exponent 'b' in the allometric equation (BMR = aM^b) determines how BMR scales with body mass. For mammals, the exponent is typically around 0.75.

Signup and view all the flashcards

Mass-Specific Allometry

The metabolic rate per gram of body mass decreases as body size increases. This means that larger animals have lower mass-specific metabolic rates compared to smaller animals.

Signup and view all the flashcards

Maximal Metabolic Rate (VO2 max)

The rate at which an animal can use oxygen during maximal physical exertion. It reflects the animal's peak aerobic capacity.

Signup and view all the flashcards

Logarithmic Scaling of BMR

A straight line can be created by plotting BMR and body mass on log axes. The slope of this line represents the exponent 'b' in the allometric equation.

Signup and view all the flashcards

SA/V Ratio and Heat Loss

The body's surface area (SA) to volume ratio (V) is smaller in larger animals. This leads to a reduced relative heat loss, explaining why larger animals have lower mass-specific metabolic rates.

Signup and view all the flashcards

Limitations of SA/V Ratio Explanation

Although the SA/V ratio explanation for allometry is plausible, it doesn't fully explain the observed scaling patterns. For example, the mass exponent 'b' is often different from the expected -0.67 value

Signup and view all the flashcards

Ectotherm Scaling

Ectotherms, also known as cold-blooded animals, have similar allometric scaling patterns as endotherms (warm-blooded animals), even though heat loss is less of a factor for them.

Signup and view all the flashcards

Study Notes

Lecture 3: 10 Jan.

  • Size matters: body size, allometry, and physiological allometry
  • Causes, exceptions, correlates, and implications of allometry
  • Reading: pages 19-20, 184-192, 230-233

Scope of Animal Size

  • How small?
  • How big?

Scope of Invertebrate Size

  • How small?
  • How big?

Scope of Mammal Size

  • How small?
  • How big?

Scope of Bird Size

  • How small?
  • How big?

Patterns of Size Change: Isometry

  • Proportions remain the same with a change in size.

Patterns of Size Change: Anatomical Isometry

  • Proportions remain the same with a change in size (e.g., newly hatched salamander vs. adult salamander, newly hatched fish vs. adult fish).

Patterns of Size Change: Anatomical Allometry

  • Proportions change with size (e.g., human development from newborn to adult).
  • Allos (gr.) = different
  • Proportions change with size

Physiological Allometry: Linear Axis Scales

  • Basal Metabolic Rate (BMR)
  • M = aWb (eq. 7.3)
  • a: proportionality constant
  • b: mass exponent
  • BMR is related to body weight

Log Axis Scales & Allometry: BMR

  • log M = log a + b log W
  • log a: intercept
  • b: slope
  • BMR = 70M0.72

Mass-Specific Allometry: BMR/g

  • M/W = aWb-1
  • BMR/g = 70W-0.28

Log Scales & Mass-Specific MR

  • Log M = log a + b log W
  • Log BMR = log 70 + 0.72 log M
  • Slope of line?
  • Weight-specific BMR

Ectotherm Scaling

  • Poikilotherms (cold-blooded organisms)
  • Homeotherms (warm-blooded organisms)

###Scaling of Maximal Metabolic Rate (VO2 max):

  • b = 0.86
  • sig > 0.72 (BMR)

Measuring VO2 max

  • Methods for measuring VO2 max (e.g., human & animal).

###Informative Exceptions

  • Animals "off the line" (e.g., pronghorn)
  • Pronghorn (Antilocapra americana)

###Informative Exceptions

  • Allometry of components of aerobic metabolism
  • Most similar to VO2max
  • Why the exceptions? (e.g.,lungs)

###Mammalian Cardiac Scaling

  • Matching heart function to metabolic rate
  • Heart mass = 0.0059 M0.98
  • Heart rate = 241 M-0.25
  • Pygmy Shrew: Actual vs. predicted from mass

What "Causes" Metabolic Allometry?

  • Heat production within animal volume, exchanged with the environment.
  • Small animals lose heat rapidly compared to their larger surface area (SA).
  • SA/V relationship
  • Ectotherms metabolic rate scales differently.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Altimetry and Aviation Definitions
10 questions
Foundational Concepts in Biology
32 questions
Lecture 3: Body Size and Allometry
18 questions
Use Quizgecko on...
Browser
Browser