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Data2Dynamics / d2d

a modeling environment tailored to parameter estimation in dynamical systems
https://github.com/Data2Dynamics/d2d
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Delay differential equations #99

Closed dvimal27 closed 6 years ago

dvimal27 commented 6 years ago

Hi, Is it possible to use time delay using delay differential equations? I want to estimate time delay as a parameter If yes, Could you please share me some example? It would be a great help

Thanks in advance

With regards, Vimal

rengesser commented 6 years ago

Hi Vimal,

the functionality of Data2Dynamics does not support delay differential equations (DDE). However, you can try to approximate the DDE by a system of ordinary differential equations using the linear chain trick. In the linear chain trick a delay is modelled by a series of intermediate states. It is used in the examples Bachmann_MSB2011 and Swameye_PNAS2003.

Best, Raphael