lactation.machine.model {ZeBook}

The Lactation model with milking machine

Description

Model description. This model is a model of lactating mammary glands of cattle described by Heather et al. (1983). This model was then inspired more complex models based on these principles. This model simulates the dynamics of the production of cow's milk. the system is represented by 6 state variables: change in hormone levels (H), the production and loss of milk secreting cells (CS), and removing the secretion of milk (M), the average quantity of milk contained in the animal (Mmean), the amount of milk removed (RM) and yield (Y). The model has a time step dt = 0.001 for milking machines. The model is defined by a few equations, with a total of twenty parameters for the described process.

Usage

lactation.machine.model(cu, kdiv, kdl, kdh, km, ksl, kr, ks, ksm, mh, mm,
  p, mum, rma, t1, t2, t3, t4, t5, t6, duration, dt, CSi, Mi)

Arguments

cu

: number of undifferentiated cells

kdiv

: cell division rate, Michaelis-Menten constant

kdl

: constant degradation of milk

kdh

: rate of decomposition of the hormone

km

: constant secretion of milk

ksl

: milk secretion rate, Michaelis-Menten constant

kr

: average milk constant

ks

: rate of degradation of the basal cells

ksm

: constant rate of degradation of milk secreting cells

mh

: parameter

mm

: storage Capacity milk the animal

p

: parameter

mum

: setting the maximum rate of cell division

rma

: parameter of milk m (t) function

t1

: parameter of milk m (t) function

t2

: parameter of milk m (t) function

t3

: parameter of milk m (t) function

t4

: parameter of milk m (t) function

t5

: parameter of milk m (t) function

t6

: parameter of milk m (t) function

duration

: duration of simulation

dt

: time step

CSi

: initial Number of secretory cells

Mi

: initial Quantity of milk in animal (kg)

Value

matrix with CS,M,Mmoy,RM