Spike-frequency adaptation
==========================

This experiment isolates the slow current that turns rapid initial firing into adaptation during steady input. It uses a conductance-based cell, changes one mechanism, and checks the causal result in voltage, calcium, and interspike intervals.

Prompt
------

.. container:: prompt-bubble

   Show why a neuron fires quickly at first but gradually slows during a steady input, then remove its adaptation current and reveal what changes.

Agent decision path
-------------------

The agent first resolves the biological scale, then opens only the BrainX layers needed to construct and verify the ablation.

.. container:: agent-trace

   1. Classify the model as one isopotential conductance-based cell.
   2. Route cellular dynamics to ``braincell`` and state and units to ``brainstate`` and ``brainunit``.
   3. Select dynamic calcium plus ``AHP_De1994`` through ``MixIons(k, ca)``.
   4. Define the controlled ablation as ``g_AHP = 0`` with all other parameters fixed.
   5. Place adaptation strength and input current on independent condition axes.
   6. Evolve every condition with ``for_loop`` and summarize traces with nested ``vmap`` calls.
   7. Add a matched holding current so every stimulus starts from a quiet baseline.
   8. Record voltage, calcium, spike count, and first-to-last interspike interval.

Result
------

.. container:: result-lede

   At ``10 uA/cm^2``, the AHP-present cell slows from an ``11.96 ms`` to ``20.52 ms`` interspike interval and fires 27 spikes. With AHP removed, the interval stays nearly constant and the cell fires 46 spikes.

.. figure:: ../_static/cases/01-spike-frequency-adaptation/spike-frequency-adaptation.png
   :class: result-figure
   :alt: Five-panel comparison showing membrane voltage, intracellular calcium, interspike intervals, AHP ablation, and the input-by-adaptation sweep. The AHP-present condition accumulates calcium and lengthens its firing intervals; the removed condition remains tonic.

   Calcium provides the slow signal. Nonzero AHP conductance converts it into an outward current that progressively lengthens the firing interval.

With-BrainX skill/Without skill comparison
------------------------------------------

A matched comparison belongs here after the same prompt, environment, hardware, seed policy, and verification criteria have been run with and without the BrainX skill.

.. grid:: 1 2 2 2
   :gutter: 2
   :class-container: comparison-grid

   .. grid-item::

      **With BrainX skill**

      .. container:: pending-label

         Source captured · benchmark pending

      The generated BrainX experiment and scientific result are available above. Add measured generation time, runtime, memory, verification outcome, and code-quality criteria here.

   .. grid-item::

      **Without BrainX skill**

      .. container:: pending-label

         Matched run not collected

      Add the baseline code and evidence only after running the identical prompt and protocol. Do not infer missing speed or accuracy values.