hires#

diffeqzoo.ivps.hires(*, initial_values=(1.0, 0.0, 0.0, 0, 0, 0, 0, 0.0057), time_span=(0.0, 321.8122))[source]#

Construct the High Irradiance Response (HIRES) problem.

The “High Irradiance Response” ODE (HIRES) from plant physiology describes how light is involved in morphogenesis. It was proposed by Schäfer (1975) and named “HIRES” by Hairer and Wanner (1996).

It is a system of 8 nonlinear differential equations,

\[\dot u(t) = f(u(t))\]

and a common testproblem for ODE solvers that can handle stiff problems.

The following bibtex(s) point to the original paper about the HIRES model and the book by Hairer and Wanner. (Source: Google Scholar).

BibTex for Schäfer (1975)

@article{schafer1975new,
    title={A new approach to explain the "high irradiance responses"
    of photomorphogenesis on the basis of phytochrome},
    author={Sch{\"a}fer, E},
    journal={Journal of Mathematical Biology},
    volume={2},
    number={1},
    pages={41--56},
    year={1975},
    publisher={Springer}
}

BibTex for Hairer and Wanner (1996)

@book{hairer1996solving,
    title={Solving Ordinary Differential Equations II,
    Stiff and Differential-Algebraic Problems},
    author={Hairer, Ernst and Wanner, Gerhard},
    year={1996},
    publisher={Springer}
}