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docs/poincare.md

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- ![Example](images/lokta_volterra_example.svg){ align=left , width="375" }
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```py
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import numpy as np
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from poincare imprt *
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from poincare import *
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class LotkaVolterra(System):
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prey: Variable = initial(default=10)
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sim.solve(save_at=np.linspace(0, 100, 1000)).plot()
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```
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</div>
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<div style="text-align:center;"> <i><a href="https://en.wikipedia.org/wiki/Lotka%E2%80%93Volterra_equations">Lokta-Volterra</a> predator-prey model implemeneted in poincare. </i></div>
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<div style="text-align:center;"> <i><a href="https://en.wikipedia.org/wiki/Lotka%E2%80%93Volterra_equations">Lokta-Volterra</a> predator-prey model implemeneted in Poincare. </i></div>
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Poincare is a python library for declaring and simulating dynamical systems. It's designed around:
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docs/simbio.md

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sim.solve(save_at=np.linspace(0, 30, 1000)).plot()
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```
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</div>
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<div style="text-align:center;"> Water synthesis and <i><a href="https://en.wikipedia.org/wiki/Electrolysis">electrolysis</a> implemeneted in Simbio. </i></div>
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<div style="text-align:center;"><i>Water synthesis and<a href="https://en.wikipedia.org/wiki/Electrolysis">electrolysis</a> implemeneted in SimBio. </i></div>
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SimBio is a Python-based package for simulation of Chemical Reaction Networks (CRNs). It extends [poincare](https://github.com/dyscolab/poincare), a package for modelling dynamical systems, to add functionality for CRNs. It's designed around:
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- __Modularity__: SimBio is intended to create a layer to separate the actual declaration and simulation of models, allowing to easily switch between methods and compile to different backends (including [NumPy](https://numpy.org/) [Numba](https://numba.pydata.org/) and [JAX](https://docs.jax.dev/en/latest/)). The same model can be compiled for either ODE or stochastic simulation by changing a single line of code.

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