Q1
Modelling
Modelling = empirical science, where you make a model out of data. It is a
simplification of reality.
- Whether an idea is correct is not determined by how well it is formulated, but
by whether it is confirmed by observations.
- Provides a way to describe different observations as expressions of the same
underlying principle and to predict observations in experiments.
Dynamic systems = state of the system at time t and before.
- Output depends on input before time
- Has a memory
- Capable of action/change
- The equation has a derivative1
- Most biomedical systems are dynamic
Static systems = state of the system at time t.
- Depends only on input at time t
- Has no memory
- Stationary/fixed no change
- The equation has no derivative
Compartment model = model of the human body.
- D = doses = how many pills you put in
- Efflux = how many mg/ЧL is going out
o How larger the concentration, how larger the efflux.
o Depends on the capacity of the body to get rid of the drug.
- Change = in – out
Parameters = properties of the system
1
Derivative = afgeleide
, - Constant
- By changing the parameter, you will change the behaviour of the model.
Variable = state of the system
- Changeable during simulation
Parameter Variable
Clearance (k) Drug concentration (c)
Volume compartment (V) Amount of drug (M)
Efflux (Ψ)
Dosis velocity (D)
d
V c(t) = – k*c(t)
dt
- V = volume compartment
d
- = how fast things change (afgeleide)
dt
- c = concentration of the drug
- k = clearance (L/hr) = how well the body can get rid of the drug
The change in concentration depends on:
- Properties of the body (V + k)
- Dose velocity (D(t))
- Concentration (c(t))
d
V c(t) = D(t) – k*c(t)
dt