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January 1, 0001

Physical units in Cytosim

Cytosim is not aware of units, and it is the user’s responsability to provide coherent values. The parameters could in principle be specified in any system of units, but the same system must be used consistently for all values! However, for convenience, Cytosim provides default values for some parameters, for example:

Parameter Default value
viscosity 1 pN.s/um^2
kT 0.0042 pN.um

It is therefore strongly advised to convert all parameter values to Cytosim’s preferred system of units:

Quantity Unit Symbol Value
Distance micrometer um 10^(-6) = 0.000001 meter
Force picoNewton pN 10^(-12) = 0.000000000001 Newton
Time second s 1/60 minute
Angle radian rad PI radian = 180 degrees

The most common physical quantities have these units:

Parameter Units
duration s
length or range um
force pN
rate 1/s
torque pN.um
speed um/s
diffusion constant um^2/s
stiffness pN/um
angular stiffness pN.um/rad
energy pN.um
bending elasticity pN.um^2
viscosity pN.s/um^2

The number of objects are usually specified directly but given a concentration, this can be obtained by multiplying with the volume of the cell. The binding and unbinding rates are specified as molecular rate (1/s) and knowing the equilibrium constant of the reaction is usually not sufficient to deduce both rates, although the equilibrium constant should determine the ratio of the binding to the unbinding rate.

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