Size & Scaling (W2) Flashcards

1
Q

Scaling?

A

= the structural & functional consequences that occur due to changes in size.

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2
Q

Who is the person behind the scaling theory and what year?

A

• Galileo Galilei.
• 1638.

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3
Q

3 Engineering Principles of Scaling to maintain performance of a structure?

A

• Change dimensions.
• Change materials.
• Change architecture/anatomy.

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4
Q

Change dimensions?

A

= states that as the structure scales, the proportional dimensions might change as well.

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5
Q

Changing materials?

A

= states that materials and their properties directly affect scaling.

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6
Q

Changing architecture/anatomy?

A

= states that as the structure scales, the architecture changes.

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7
Q

Why doesn’t the T-rex catch the Jeep?

A

• As muscle strength increases, cross-sectional area increases &
• As body mass increases, volume increases.

Therefore, because muscle strength doesn’t scale as fast as muscle mass the T-rex doesn’t have the strength to move the muscle gained through increased body mass.

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8
Q

Explain the relationship between scaling, metabolism & endurance. (2)

A

• Since small animals like shrews and hummingbirds burn through their fat reserves very quickly (high metabolism), they tend to turn to torpor in order to reserve more energy (endurance).

• On the other hand, because large animals like bears burn through their fat reserves at much slower rates (low metabolism) they tend to turn to hibernation (endurance).

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9
Q

Explain the relationship between scaling and time.(2)

A

• The bigger you are (increased body mass), the slower your heartbeat, the slower your respiration rate and the longer your lifespan.
[Eg. Mice & Elephants].

• Physiological time scales differentially with clock time.
[Eg. Tortoise].

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10
Q

Explain relationship between scaling and skeleton mass in mammals & birds.

A

At any given body mass, it turns out that the skeleton mass of birds is the same as the skeleton mass of mammals but:

• Birds have denser skeletons (in some areas).
• Birds have bone geometry that increases stiffness & strength at smaller sizes.

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11
Q

Allometry?

A

= where scaling changes are not proportional across measured variables.

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12
Q

Isometry?

A

= where scaling changes are proportional across measured variables.

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13
Q

State Kleiber’s Law

A

= states that our metabolism does not grow proportionally with our body weight.

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14
Q

State the Surface rule?

A

= states metabolism is predicted to scale to the ⅔power relative to body mass.

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15
Q

What is ontogeny?

A

= involves organism development.

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16
Q

Allometry & Ontogeny?

A

Because an organism’s development occurs, body proportions may change allometrically. Therefore, this poses a problem for paleontologists as they may mistake such an occurrence for species-level distinction & confuse the different developmental stages for different species.

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17
Q

Paedomorphosis?

A

= an occurrence where an organism retains its juvenile proportions into adulthood.

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18
Q

Simpler way of defining scaling?

A

= as animals get bigger, their anatomical & physiological features differ.

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19
Q

Explain Galileo’s theory?

A

Noticed that animals don’t scale proportionally as they go and that scaling often applied in Engineering could be applied to biology as well.

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20
Q

How do engineers & animals overcome problems due to scaling?

A

They use the 3 Engineering principles.

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21
Q

Eg of Changing dimensions in Engineering?

A

Irish wall & Great wall of China
= the taller the wall, the thicker the base should be to maintain structure stability.

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22
Q

Eg of Changing dimensions in Biology?

A

Tetrapods
= as an animal gets bigger, the thickness of the skeleton may increase.

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23
Q

Eg of Changing materials in Engineering?

A

Philadelphia city wall & Burj Khalifa
= tallest masonry building (167m) vs tallest steel building (829.8m).

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24
Q

Eg of Changing materials in Biology? (2)

A

• Evolution of bone from cartilage/poor ossification to bone.

• Tetrapods
= alter bone density & cross-sectional geometry to shift to new material properties (Kestrel vs Penguin).

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25
Q

Eg of Changing architecture in Engineering?

A

Danhe bridge & Golden gate bridge
= compression bridge vs tension bridge (better).

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26
Q

Eg of Changing architecture in Biology? (2)

A

Tetrapods
= either means this or that:

• Change in posture (eg Kangaroo).
OR
• A novel adaptation.

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27
Q

Novel adaptation?

A

= a feature that enables thicker & bigger animals to exist.

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28
Q

Running?

A

= moving your body mass using your muscle strength.

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29
Q

Do birds have proportionally lighter skeletons than mammals?

A

No, birds have the same skeletal mass as that of mammals but birds have denser skeletons on some areas & have bone geometry that increases stiffness & strength at smaller sizes.

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30
Q

Eg of answer to bird & mammal skeleton mass?

A

Seen in a comparison between Kestrel & Penguin.

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31
Q

Torpor?

A

= involuntary state that an animal enters into when conditions dictate as a survival tactic to survive winter conditions & occurs over short periods of time (several times a day).

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32
Q

Hibernation?

A

= voluntary state that an animal enters into to (i) conserve energy, (ii) survive through food scarcity & (iii) minimize their need to face elements in cold, winter months & it occurs over long periods of time (days, weeks, months).

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33
Q

Main take-home principle for scaling?

A

Size has effects for the functional, physiological (behaviour) & temporal aspects of living organisms like lifespan.

34
Q

Why do animals lose they’re limbs as they go & reside in the water?

A

As they reside in the water, animals get bigger and heavier which results in them nolonger needing limb support (heavy upper body), losing their limbs & a change in their architecture.

35
Q

Why is there a thicker bone cortex in penguins than Kestrel even though they’re both birds?

A

Penguins have a thinner bone Cortex than Kestrel because they don’t fly and mostly go into the water. Therefore, they don’t need “light” bones/less dense bones as they don’t fly.

36
Q

Allometry is AKA?

A

Different measurement after scaling changes.

37
Q

Isometry is AKA?

A

Equal measurement after scaling changes.

38
Q

Explain the graph of: Relationship of length, surface area & volume? (3)

A

• As the sides of a cube increase in length, the length relationship maintains the exact same scale and thus scales isometrically with the sides.

• SA with regards to length increases rapidly while volume with respect to length increases even more rapidly.

• One thing to note is that interpretation of the graph is a bit difficult due to the curves.

39
Q

Solution to difficult interpretation of graphs with curved lines?

A

Logging.

40
Q

Uses of logging? (3)

A

• Straightens curves into a linear plot.
• Makes it easier to interpret/read graphs.
• Useful when there’s a large range of values.

41
Q

Explain graph of: Logarithmic relationship of length, surface area & volume of a cube?

A

From slopes, we see that volume increases at a much faster rate than SA.

42
Q

Allometric equation?

A

y = ax^b

43
Q

What does each symbol in equation mean? (3)

A

• x, y = measurement variables (SA, volume).
• a = proportionality coefficient (y-intercept).
• b = scaling factor.

44
Q

Why is b important?

A

Dictates how fast a measurement variable changes.

45
Q

Name the 4 scenarios/egs of the scaling factor, b?

A

• Skeletal mass vs Body mass.
• Metabolic rate vs Body mass.
• Heart rate vs Body mass.
• Hematocrit vs Body mass.

46
Q

Value of b in Scenario 1?

A

b=1.

47
Q

Value of b in Scenario 2?

A

0 < b < 1.

48
Q

Value of b in Scenario 3?

A

b<0.

49
Q

Value of b in Scenario 4?

A

b=0.

50
Q

Scenario 1? (2)

A

• Skeletal mass is relatively isometric with regards to body mass.
• Graph is slightly positively allometric.

51
Q

Scenario 2? (2)

A

• Metabolic rate is negatively allometric with respect to body mass.
• The larger you are, the proportionally lower your metabolic rate.

52
Q

Scenario 3? (2)

A

• Heart rate decreases as the body mass increases.
• Relationship is inversely allometric.

53
Q

Scenario 4? (3)

A

• No allometric relationship exists between Hematocrit & body mass.
• Graph shows that small & large animals have the same amount of blood volume in their bodies.
• Tells us that scaling doesn’t affect everything.

54
Q

Inverse allometry?

A

= where one variable increases as the other decreases.

55
Q

Positive allometry?

A

= where one variable increases faster than the other.

56
Q

b>1 ?

A

= positive allometry.

57
Q

0<b<1 ?

A

= negatively allometry.

58
Q

b=1 ?

A

= isometry.

59
Q

b=0 ?

A

= no relationship.

60
Q

b<0 ?

A

= inverse allometry.

61
Q

Eg of 0<b<1?

A

Metabolic rate vs Body mass.

62
Q

Eg of b=1?

A

Skeletal mass vs Body mass.

63
Q

Eg of b=0 ?

A

Hematocrit vs Body mass.

64
Q

Eg of b<0 ?

A

Heart rate vs Body mass.

65
Q

Eg of b>1 ?

A

Limb length vs Body mass of monitor lizards.

= Limbs are relatively longer in larger-bodied monitor lizards.

66
Q

Allometry & “Surface rule”? (4)

A

• Metabolic rate scales to the 2/3.
• Larger you are, less SA and less heat loss.
• true, to some extent, because of torpor & hibernation.
• FALSE.

67
Q

Kleiber’s law? (4)

A

• Metabolism actually scales to the 3/4 power.
• Negative allometric relationship between metabolism & body mass.
• Larger you are, more SA, more heat loss.
• Exceptions exist at high and low body masses.

68
Q

Why doesn’t metabolic rate scale to the 2/3 power? (2)

A

• Constraints might exist on small & large animals.
• Extinct animals have different metabolic scaling properties.

69
Q

Categories under Allometry & Flight? (2)

A

• Metabolism vs Pectoral muscle mass.
• Flapping frequency vs Body mass.

70
Q

Metabolism vs Pectoral muscle mass?

A

As birds get larger, Metabolic rate decreases & birds may eventually not be able to produce the metabolic activity needed to fly.

71
Q

Limit of Metabolism vs Pectoral muscle mass?

A

10kg-20kg.

72
Q

Metabolism vs Pectoral muscle mass relationship?

A

Pectoral muscle mass scales isometrically in birds while MR scales with negative allometry.

73
Q

Flapping frequency vs Body mass?

A

As birds get heavier, flapping frequency decreases. Therefore, if wings can’t flap fast enough, bird cannot take off.

74
Q

Flapping frequency vs Body mass relationship?

A

Inverse allometry.

75
Q

Limit for flapping frequency vs body mass?

A

41kg.

76
Q

Egs of heaviest flying birds? (2)

A

• Kori bustard (17kg) = extant.
• Argentaris (70kg) = extinct.

77
Q

Eg of Allometry & Ontogeny?

A

Human development
= as humans develop from an infant to an adult, the proportions of the head decrease while that of the legs increase.

78
Q

Eg of paedomorphosis? (2)

A

• Humans (retained juvenile facial features).
• Birds (dinosaur skulls).

79
Q

2 things to note regarding paedomorphosis?

A

• form of allometry.
• pathway to macroevolution.

80
Q

Why is Micky Mouse so popular?

A

= Micky Mouse has become more paedomorphic over time & thus cuter.

81
Q

Take-home principle of Allometry?

A

Allometry controls anatomy & physiology.