Team:USTC Software/When
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:For other common conventions and notations, see [http://en.wikipedia.org/wiki/Fourier_transform#Other_conventions Other conventions] and [http://en.wikipedia.org/wiki/Fourier_transform#Other_notations Other notations] below. The [http://en.wikipedia.org/wiki/Fourier_transform#Fourier_transform_on_Euclidean_space Fourier transform on Euclidean space] is treated separately, in which the variable ''x'' often represents position and ''ξ'' momentum. | :For other common conventions and notations, see [http://en.wikipedia.org/wiki/Fourier_transform#Other_conventions Other conventions] and [http://en.wikipedia.org/wiki/Fourier_transform#Other_notations Other notations] below. The [http://en.wikipedia.org/wiki/Fourier_transform#Fourier_transform_on_Euclidean_space Fourier transform on Euclidean space] is treated separately, in which the variable ''x'' often represents position and ''ξ'' momentum. | ||
- | [[Image:Fourier.png|center| | + | [[Image:Fourier.png|center|500px|thumb|Instead of comparing with target function in real space consists of substance concentration and time axis, one potential alternative for avoiding dilemmas like unmatched phase in oscillation is to move the score function into frequency space after Fourier Transformation.]] |
'''Q2:''' | '''Q2:''' | ||
:The desired time course for different node are largely different in order of magnitude? Also, some results of my experiment cannot be expressed as absolute values but relative ones. How to keep the dimension of different species? | :The desired time course for different node are largely different in order of magnitude? Also, some results of my experiment cannot be expressed as absolute values but relative ones. How to keep the dimension of different species? | ||
- | ''' | + | '''A2:''' |
:The data may vary significantly in dimension. And it is unfortunately true for most real-case reactions' dynamics/thermodynamics constant. Therefore we consider it to be a worthwhile trial to move all calculations to logarithmatic space to overcome the strong order-dependence of initial values of inputs. Related changes are systematical, from the substitution of variables and functions to the transformation of first order deriatives. | :The data may vary significantly in dimension. And it is unfortunately true for most real-case reactions' dynamics/thermodynamics constant. Therefore we consider it to be a worthwhile trial to move all calculations to logarithmatic space to overcome the strong order-dependence of initial values of inputs. Related changes are systematical, from the substitution of variables and functions to the transformation of first order deriatives. | ||
- | [[Image:Regime.png|center| | + | [[Image:Regime.png|center|400x500px|thumb|Though we are familiar with working at linear space, here it is more convenient and effective to move all sampling and initialization in logarithmatic space, where the step of calculation can easily jump among different orders.]] |
==Restriction Input== | ==Restriction Input== | ||
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:One possible mathematical approach is to adopt Tylor Series expansion to shorten each term describing interactions. The physical nature of this mathematical method is nothing but exactly how two-body interactions are interwined to form multi-body interactions. | :One possible mathematical approach is to adopt Tylor Series expansion to shorten each term describing interactions. The physical nature of this mathematical method is nothing but exactly how two-body interactions are interwined to form multi-body interactions. | ||
<br/> | <br/> | ||
- | [[Image:tylorinmultibody.png]] | + | [[Image:tylorinmultibody.png|center|300px|thumb|If three substance x, y and z have an interaction form of 1/(x+y+z), when concentration have significant differences, tylor expansion might work to introduce a perturbation in to this system, avoiding complex calcultions.]] |
==Algorithm== | ==Algorithm== | ||
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:Currently, we are working on it. The basic drag-drop function has been accomplished in our software of current version. In the near future, we will complete this function. | :Currently, we are working on it. The basic drag-drop function has been accomplished in our software of current version. In the near future, we will complete this function. | ||
- | [[ | + | [[Image:Drag1.png|left|250px|thumb|It is much convenient for users to locate and combine substances/biobricks with this easy-drag interface.]][[Image:Drag2.png|right|250px|thumb|Output of time course plot.]] |
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'''Q2:''' | '''Q2:''' | ||
:Can you export the robustness analysis along with the SBML model in one sheet? | :Can you export the robustness analysis along with the SBML model in one sheet? |
Latest revision as of 17:26, 21 October 2009
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Future PlanDesired Dynamics InputQ1:
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Restriction InputQ1:
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Mathematical modelQ1:
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AlgorithmQ1:
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Secondly, we can also apply a text mining technique to get detailed information for published papers. Link to SBWQ1:
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