Hi,
I'm trying to use sympy KanesMethod to model biological assemblies (i.e.
the mitotic spindle).
Molecular motors in biology follow linear force velocity relationships,
such that F = F_max(1 -ld/V_max) where ld is the relative speed of the
two points on which the force is applied (distant of l).
I strugle to implement this in the Kanes formalism... I tried various
things:
* constraint the generalized speed as u = (V_max - ld)
* declare the above relation in the kinetic differential equation
In both cases, the `to_linearizer` method rises a:
ValueError: Cannot have dynamicsymbols outside dynamic forcing vector.
* use directly ld as the speed, and declare it as auxiliary
Then I have a shape mismatch when I try to linearize.
Bellow is a notebook with the code:
http://nbviewer.ipython.org/github/glyg/Notebooks/blob/master/kt_sim/minimum%20Linear%20Force%20Velocity.ipynb
Best,
Guillaume
--
Guillaume Gay, PhD
http://damcb.com
43 rue Horace Bertin
13005 Marseille
+33 953 55 98 89
+33 651 95 94 00
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