Facts and Methods Flashcards
Why do animals lie in roughly the same size dimension?
Small scale - electromagnetism dominates (10^-9)
Large scale - gravitation dominates (10^9)
Similar definition
Dimensionless products formed from measurements on individual systems have the same value for all similar systems.
any measurement on A is related to the equivalent measurement on B by a single scale factor
Geometric similarity
Similarity in length [L]
Temporal similarity
Similarity in time [T]
Inertial similarity
Similar in mass [M]
Kinematic similarity
Geometric (length) and temporal (time) similarity
Dynamic similarity
Geometric (length), temporal (time) and inertial (mass) similarity
Volume/area
Ratio that increases with size [L]
Consequence of increasing size (strength)
mass ∝ volume (L^3), weight (F) = mg, stress = F/A
As size increases, the stress experienced because of its own weight also increases
material strength:density
Relationship limiting max height of self supporting structures
How can we maintain strength with increased size?
- increase strength density of materials (maintain geometric similarity) (increase bone strength)
- decrease relative load experienced by the structure (reduced running speed/jump height)
- increase dimensions disproportionately
- change system design
Aim of allometry
Compare rate of change of a parameter of interest with a parameter that represents animal size (mass)
Form of allometric equation
y=am^b y - parameter of interest a - proportionality constant m - measure of size (mass) b - scaling component
How do you form an allometric equation?
- collect pairs of measurements from animals that vary in scale
- use non-linear regression to fit allometric model
- plot data and log transform it to get linear relationship
- intercept = log(a), gradient = b
- can construct confidence interval for accuracy
Define muskoskeletal tissues
structural materials from which the vertebrate body is constructed ( bone, cartilage, ligament, tendon, muscle etc)
Explain effective mechanical avantage
Ratio r/R relates muscle force to ground force
F_m x r/R = G
- F_m - muscle force
- G - ground reaction force
Reduces muscle force for larger animals because they stand more upright
Biewener (1989) - EMA scales with positive allometry
Why does ground reaction force increase with running speed?
At faster speeds, proportion of stride for which the foot is in contact with the ground (duty factor) decreases, so GRF increases with speed
- can compensate for size by reducing top running speed and therefore peak loads of the legs
What is the Froude No?
Non - dimensional speed
v^2/(gL), relates running speed with leg length and gravitational acceleration
Walk to run transition occurs at same Froude No for different sized animals
Define maintenance power
Rate of energy consumption during rest
Define total metabolic power
Rate of energy consumption during locomotion
Define net metabolic power
Total power - maintenance power, power used for locomotion