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    • 24. 发明公开
    • MATHEMATICAL DESIGN OF ION CHANNEL SELECTIVITY VIA INVERSE PROBLEMS TECHNOLOGY
    • MATHEMATISER ENTWURF DERIONENKANALSELEKTIVITÄTÜBERUMKEHRPROBLEMETECHNOLOGIE
    • EP2035999A4
    • 2009-07-01
    • EP07775219
    • 2007-04-11
    • MATHCONSULT GMBHUNIV RUSH MEDICAL CENTER
    • ENGL HEINZ WEISENBERG ROBERT SHIMBURGER MARTIN
    • G06F19/00G01N33/68G06G7/48
    • G06F19/16
    • Determining the structure of permanent charge for an ion channel formulates an abstract operator, describing ion channel parameters, comprising equations that are ill-posed. The model of ion channel behavior relates the function of the ion channel to the structure of permanent charge within the ion channel and concentrations ions around the ion channel under certain properties and boundary conditions. The model also includes regularization of the abstract operator by approximating the ill-posed equations with a family of well-posed equations. An estimate of the closeness of the well-posed solution to the ill-posed solution is provided. Providing stable and convergent algorithms allows the model to determine a stability for the regularized solution, so that a regularization parameter can determine a balance between the stability and accuracy of the solution.
    • 确定离子通道的永久电荷结构会形成一个抽象算子,描述离子通道参数,包括不适合的方程。 离子通道行为模型将离子通道的功能与离子通道内的永久电荷结构相关联,并且在某些性质和边界条件下将离子通道周围的离子浓缩。 该模型还包括抽象算子的正则化,通过将不适定方程与一组适定方程近似。 提供了适当解决方案对不适合解决方案的接近度的估计。 提供稳定和收敛的算法允许模型确定正则化解的稳定性,以便正则化参数可以确定解的稳定性和准确性之间的平衡。