- From: r.britten at auckland.ac.nz (Randall Britten)
- Subject: [cellml-discussion] Using CellML for simplified neuron models? (Alan Garny)
- Date: Mon, 9 Nov 2009 16:36:24 +1300
Hi Hans
Our progress on this is that we have an interim format for representing
reset-rules/events, and are now prototyping the handling of this in
software.
Please see
https://tracker.physiomeproject.org/show_bug.cgi?id=1543, where
we will post updates on progress. (If you create a login for yourself on
our tracker, you can "CC" yourself to that tracker item, and get e-mails
regarding progress updates, or add comments and suggestions.)
Regards,
Randall
>
-----Original Message-----
>
From: cellml-discussion-bounces at cellml.org [mailto:cellml-discussion-
>
bounces at cellml.org] On Behalf Of Dr. Hans Ekkehard Plesser
>
Sent: Friday, 6 November 2009 10:15 p.m.
>
To: CellML Discussion List
>
Subject: Re: [cellml-discussion] Using CellML for simplified neuron
models?
>
(Alan Garny)
>
>
>
Hi Poul,
>
>
I was just wondering how the work on CellML 1.2 is coming along,
especially
>
with respect to
>
events. I couldn't find anything about events on the "differences between
>
1.1 and 1.2" page
>
(
http://www.cellml.org/specifications/proposed-differences-between-the-1-1-
>
and-1-2-CellML-specifications).
>
>
Best regards,
>
Hans
>
>
Poul Nielsen wrote:
>
> Dear Hans
>
>
>
> Thank you for raising this. It s, in fact, one of the issues discussed
>
> at the recent combined CellML SBGN-SBO BioPAX MIASE Workshop held this
>
> April on Waiheke Island. There is a clear need to be able to specify
>
> discontinuous processes and events, such as you have described.
>
> However, both CellML and SBML use a declarative specification of
>
> models, described with content MathML. Event handling fits more
>
> naturally with imperative descriptions of models so there is currently
>
> no clean way of describing events using content MathML. SBML, which
>
> also uses content MathML as its underlying mathematical description
>
> language, has addressed this problem by augmenting the language with
>
> events and reset rules. After some discussion at the recent workshop,
>
> the consensus was that the next iteration of CellML (1.2) would
>
> include facilities for specifying events and applying reset rules in a
>
> way that is consistent with SBML. There are several reasons for taking
>
> this approach: it is a method that fits reasonably naturally with
>
> modellers' notion of describing such models; the solution has been
>
> tested by the SBML community; the construct will be straightforward to
>
> handle when translating between SBML and CellML. We are currently
>
> working on the CellML 1.2 specification and plan to have a draft
>
> released shortly with the addition of events and reset rules to handle
>
> problems such as you have described.
>
>
>
> Best wishes
>
> Poul
>
>
>
> On 2009-06-05, at 00:50, Dr. Hans Ekkehard Plesser wrote:
>
>
>
>> Hi Alan!
>
>>
>
>> [Apologies for breaking the thread, I had subscribed to the list in
>
>> digest form.]
>
>>
>
>> Thank you for your example. Unfortunately, fixed time-stepping
>
>> schemes where events (threshold
>
>> crossings and membrane potential resets) can occur only on a fixed
>
>> time grid are one of the big
>
>> no-nos in neuronal network modeling, since they can lead to strong
>
>> synchronization artefacts.
>
>> Indeed, quite a lot of research in recent years has focused on
>
>> algorithms to determine the exact
>
>> time of threshold crossings efficiencly. I'd be happy to send you
>
>> reference if you are interested.
>
>>
>
>> Thus, if we wanted to use CellML to represent neuron models in a
>
>> general form, we would need a
>
>> possibility to represent instantaneous events in continuous time. I
>
>> believe SBML events provide
>
>> this, don't they?
>
>>
>
>> Best,
>
>> Hans
>
>>
>
>>
>
>>
>
>>> ----------------------------------------------------------------------
>
>>>
>
>>> Message: 1
>
>>> Date: Mon, 1 Jun 2009 12:17:54 +0100
>
>>> From: "Alan Garny" <alan.garny at dpag.ox.ac.uk>
>
>>> Subject: Re: [cellml-discussion] Using CellML for simplified neuron
>
>>> models?
>
>>> To: "'CellML Discussion List'" <cellml-discussion at cellml.org>
>
>>> Message-ID: <001001c9e2aa$9beba840$d3c2f8c0$@garny at dpag.ox.ac.uk>
>
>>> Content-Type: text/plain; charset="us-ascii"
>
>>>
>
>>> Hi Hans,
>
>>>
>
>>>> We are looking for a good way to describe and share neuron models,
>
>>>> and
>
>>>> CellML appears a good
>
>>>> candidate. The neuron models we are interested in consist mostly
>
>>>> of a
>
>>>> single compartment,
>
>>>> possibly of a small number of compartments.
>
>>>>
>
>>>> As far as I can see, CellML appears well suited to describe the so-
>
>>>> called
>
>>>> subthreshold dynamics
>
>>>> of model neurons. But I am wondering if CellML can also capture
>
>>>> (or be
>
>>>> extended to capture) the
>
>>>> threshold operation present in most simplified neuron models.
>
>>>> Briefly, the
>
>>>> model dynamics are
>
>>>> integrated according to a set of differential equations. When the
>
>>>> membrane
>
>>>> potential of the
>
>>>> neuron crosses a certain threshold, the neuron is said to "fire":
>
>>>> the
>
>>>> membrane potential is
>
>>>> reset to a certain value instantaneuously, and often clamped at
>
>>>> that value
>
>>>> for a certain period
>
>>>> of time afterwards (refractory period); also, an output signal is
>
>>> generated.
>
>>>> In simple
>
>>>> pseudocode, this would look like:
>
>>>>
>
>>>> while ( simulation time not up )
>
>>>>
>
>>>> process input
>
>>>> update dynamics according to ODE
>
>>>>
>
>>>> if ( neuron is refractory )
>
>>>> V_m = V_reset
>
>>>> count down "refractoriness"
>
>>>>
>
>>>> if ( V_m > Threshold )
>
>>>> V_m = V_reset
>
>>>> emit output signal
>
>>>>
>
>>>> count up time
>
>>> I believe this could easily be done, as long as you are OK with the
>
>>> following:
>
>>> - this would require integrating the model using an integration
>
>>> technique
>
>>> that relies on a fixed time step. In my experience, anything will
>
>>> make your
>
>>> resetting of Vm difficult.
>
>>> - your output signal (Vm?) will always be generated.
>
>>>
>
>>> Attached is a very simple CellML file (based on the van der Pol
>
>>> model) that
>
>>> illustrates the kind of thing I think you are after. You want to
>
>>> plot the x
>
>>> and y parameters (see attached screenshot).
>
>>>
>
>>> Alan
>
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>>> ------------------------------
>
>>>
>
>>> _______________________________________________
>
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>
>>>
>
>>>
>
>>> End of cellml-discussion Digest, Vol 59, Issue 1
>
>>> ************************************************
>
>> --
>
>> Dr. Hans Ekkehard Plesser
>
>> Associate Professor
>
>>
>
>> Dept. of Mathematical Sciences and Technology
>
>> Norwegian University of Life Sciences
>
>>
>
>> Phone +47 6496 5467
>
>> Fax +47 6496 5401
>
>> Email hans.ekkehard.plesser at umb.no
>
>> Home http://arken.umb.no/~plesser
>
>> _______________________________________________
>
>> cellml-discussion mailing list
>
>> cellml-discussion at cellml.org
>
>> http://www.cellml.org/mailman/listinfo/cellml-discussion
>
>
>
> _______________________________________________
>
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>
> cellml-discussion at cellml.org
>
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>
>
--
>
Dr. Hans Ekkehard Plesser
>
Associate Professor
>
>
Dept. of Mathematical Sciences and Technology
>
Norwegian University of Life Sciences
>
>
Phone +47 6496 5467
>
Fax +47 6496 5401
>
Email hans.ekkehard.plesser at umb.no
>
Home http://arken.umb.no/~plesser
>
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