Complexity and Systems in Medicine Flashcards
Properties of complex systems
complex collective behaviour - large network of individual components - simple rules defie behaviour, no control or leader signalling and information processing adaptation - change in behaviour
defnition of complex systems
- a system in which large networks of components with no central control and simple rules give rise to complex collecitve behaviour, sophisticated information processing and adaptation via learning and evolution
- a system that exhibits nontrivial emergent and self-organizing behaviours
notions of emergence
- much coming form little
- the whole is more than its parts
Emergence and complexity
small number of rules can generate systems of suprising complexity
→ generate complexity, which lead to perpetual novelity and emergence
Hallmarks of Emergence
Mechanism & perpetual novelty
dynamics & regularities
hierarchical organizaiton
order at the edge of chaos
adpatations → “poised” state near boundary btw order and chaos
- this state optimizes complexity of the task & the system’s evolvability
simple rules generate complexity
simple local rules describing behaviour of individual components → enough to generate extremely complex strucutres/ behaviour
Modelling of complex systems
- use methods that take their characteristics into account
- modelling of individual components, their interaction btw each other and with the environment
cellular automata
Discrete lattice of cells: L∈Z^d with d≥1
Finite set of cell states: S={0,1,…,k-1}⊆Z_k with k≥2 integers
Interaction neighbourhood of cells: N(ci )={c(i-1),c(i+1) } for L∈Z^1 and r=1
State-transition function of cells: ai^(t+1)=ϕ[a(i-1),ai,a(i+1)]
boundary conditions
- topic/domain related to boundary condition
- periodic condition → what happens at boarder
- dirichlet condition → speficies solution values at boundaries
- neuman condition → specifies derivatives of solutions
Simple 1D cellular automation
class 1: stable class 2: oscillating → repetition of regular patterns class 3: random → produce decent randomness class 4: complex → some regularities but unclear when they appear
Systems biology
making sense of complex observations/ experimental & clinical datasets to improve understanding of diseases & their treatments w/o putting aside context in which they appear/develop
systems medicine
measureable imporvement of patient health though system-based approaches & practice
goals of systems medicien
practical goal: related to diagnosis, prognosis or treatments
theoretical goal: discovering mechanisms
systems medicine: differences to systems biology
data more divers → includes sub-cellular molecular data, higher level clinical variables & environmental features
Typical characteristics of systems medicine
Individualized: precise personalizes → group patients & develop new treatments
Integrative: bring all data & levels together → objective & subjective, dynamic & snapshot
Predicitve: try to make predictions via model which arise form integrative step → forecasting models & physiological models
Participatory: empowerment of the patient
SIR model
S(t) = susceptible but not yet infected I(t) = number of infectious individuals R(t) = indivuals recovered form disease with immunity