W1&2 - Complexity Flashcards
Describe complexity in healthy individuals?
- HEALTHY physiologic function is a complex interaction of multiple control mechanisms that enable an individual to adapt to the unpredictable changes of everyday life
How does ageing relate to complexity?
- aging is associated with loss complexity
- reducing organ system function and hypothesize, this loss of complexity leads to an impaired ability to adapt to physiologic stress.
e.g.: cardiovascular control and hormone release
What is spatial self-similarity (Goldberg et al., 2002)?
- Same structures and shapes seen when you zoom in/ increased magnitude, at different scales e.g.: lungs - go along the tube and divide, repeat
- Found in healthy people (complexity)
- ageing affects lung structure(reduced)
- Increases lung surface area in healthy people compared to others
What is temporal self-similarity (Goldberg, 2002)?
- in muscle force/torque and sEMG = complex temporal structure & Higher adaptability.
- Indicates presence of similar sequences/patterns in a data series over time.
e.g.: seconds, minutes, hours fluctuations. - Idea that when you shorten the time length the magnitude increases
What are the inter-individual factors that ageing depends on?
- genetics, diet and PA –> these limit their markers of ageing.
- A loss/impairment of functional components
What are the different types of noise (Gisinger, 2001)?
- White noise: randomly fluctuates in the system, not perfectly controlled, can be at any value around mean
- Pink noise(1/f): Some relevance between values, and increase connectivity. Amplitude of spectrum varies with the freq, more connected to past values of noise (e.g.: shells & sea)
- Brown noise: idea of brownian motion(pollen grains in water that bounce around). Can have complete variability, but follows a sort of path(temporally constrained by what previous value was)
–> ordered by least to most constraints
Describe the Chaos Theory:
simple systems producing a complex output
- All have really small dev in start position = very different behaviour along the line
- Cannot predict which path the parts of the pendulum will follow
- Referred to as a butterfly effect
Define:
- Fractals
- Chaos
- Fractals: infinitely complex patterns that repeat themselves on different scales e.g.: lungs
—> Quantified by computing a fractal dimension = how much space a particular object fills. e.g.: More bushy branches = higher complexity - Chaos: describes an unpredictable behaviour that may arise from the internal feedback loops of certain nonlinear systems. —> Generates complex fluctuations that do not have a single/characteristic scale of time.(erratic & unpredictable)
Explain and draw the complexity-energy consumption graph (Macklem, 2008).
- Far away from equilibrium is chaotic systems e.g.; the weather
- Small energy consumption are = fixed systems
- somewhere in the middle has enough complexity (not too much chaos & stability) –> creates a body that can adapt to a new environment, allows for development of a motor skill = response to perturbations
How is complexity defined?
How do fractals and fatigue relate?
- the extent that a process generates aperiodic fluctuations that resemble nonlinear chaos
- studies demonstrated decreases in the fractal dimension of surface EMG with neuromuscular fatigue (increasing in motor unit synchronisation)
What are the statistics for complexity analysis?
- Magnitude – Standard deviation/coefficient of variation, Takes no account for order
- Temporal pattern: looks at order and stability
- Entropy measures (ApEn and SampEn): quantify signal regularity
–> 0 (completely predictable), 2 (white noise) - Fractal scaling: Detrended fluctuation analysis, separate data into boxes of different scales, and best fit contents
- α exponent: 0.5 – white noise, 1.0 pink (1/f) noise, 1.5 Brownian (red, 1/f2) noise
- detects self-similarity
What is entropy?
What is the simple entropy calculation?
- originates from thermodynamic principles
- entropy increases as freedom of choice increases and decreases as uncertainty decreases.
- (qlog (q) + plog (p))
- Higher p=0.75, is more predictable. Therefore, more likely to get p than q, so can predict what will happen
–> used to calculate complexity
What is the difference between ApEn & SampEn?
- ApEn is a measure of unpredictability of fluctuations, quantifying the likelihood of similar data points repeating, using a point-to-point analysis
- SampEn is a modification of ApEn assessing complexity but adjusts for self-similarity = more reliable
- Low En values(0) = periodic (e.g. a sine wave)
- Higher En values (2) = greater irregularity and complexity.
- ApEn was derived from Kolmogrov-Sinai entropy –> measures the difference between the logarithmic frequencies
What is DFA (Peng et al., 1995)?
- done using α scaling exponent => calculated by root mean square error for the detrended time series over various box sizes
- shows long term correlations & power
- plotted as log root mean square error against log of corresponding boxes
–> α 0.5 = white noise, α 0.5-1 = pink noise, α>1 = brown noise
Describe the findings of the 2 studies on the historical use of complexity analysis in biology:
(Lipsitz & Goldberger, 1992) - Measured HR in old & yound people
- Mean & SD are the same for both subjects, but they look very different
- ApEn value in old people is lower = increased predictability, less complexity
(Pincus et al., 1993) - Measured HR in aborted SIDS & normal infants
- Aborted SIDS - are babies that had an episode that needed intervention but survived
- This allows for predictions to prevent hospitalisation, recognising symptoms early