期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Identifiability and Stability of an Inverse Problem Involving a Fredholm Equation

Identifiability and Stability of an Inverse Problem Involving a Fredholm Equation
原文传递
导出
摘要 The authors study a linear inverse problem with a biological interpretation,which is modelled by a Fredholm integral equation of the first kind, where the kernel is represented by step functions. Based on different assumptions, identifiability, stability and reconstruction results are obtained.
作者 Carlos CONCA Rodrigo LECAROS Jaime H.ORTEGA Lionel ROSIER
机构地区 Centro de Modelamiento Matematico and Departamento de Ingenier?a Matematica Centre Automatique et Systemes
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2015年第5期737-762,共26页 数学年刊（B辑英文版）
基金 partially supported by the Basal-CMM Project,the Fondecyt Grant(No.1130317,1111012,1140773) "Agence Nationale de la Recherche" Project CISIFS(No.ANR-09-BLAN-0213-02) partially supported by ECOS-CONICYT C13E05 and Basal-CeBiB
关键词 Inverse problems Olfactory system Kernel determination Fredholm integral equation Partial differential equations Numerical reconstruction Fredholm方程 可识别性 稳定性 第一类Fredholm积分方程 反问题 生物学 逆问题 函数表
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献10

  • 1Evans, L. C. and Gariepy, R. F., Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton, Ann Arbor, London, 1992.
  • 2Flannery, R., French, D. A. and Kleene, S. J., Clustering of CNG channels in grass frog olfactory cilia, Biophysical J., 91, 2005, 179-188.
  • 3French, D. A. and Edwards, D. A., Perturbation approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation, J. Math. Biol., 55, 2007, 745-765.
  • 4French, D. A., Flannery, R. J., Groetsch, C. W., et al., Numerical approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation, Mathematical and Computer Modelling, 43, 2006, 945-956.
  • 5French, D. A. and Groetsch, C. W., Integral equation models for the inverse problem of biological ion channel distributions, Journal of Physics: Conference Series, 73(012006), 2007, 1742-6596.
  • 6Kleene, S. J., Origin of the chloride current in olfactory transduction, Neuron, 11, 1993, 123-132.
  • 7Kleene, S. J. and Gesteland, R. C., Calcium-activated chloride conductance in frog olfactory cilia, J.Neurosci., 11, 1991, 3624-3629.
  • 8Kleene, S. J. and Gesteland, R. C., Transmembrane currents in frog olfactory cilia, J. Membr. Biol., 120, 1991, 75-8l.
  • 9Kleene, S. J., Gesteland, R. C. and Bryant, S. R., An electrophysiological survey of frog olfactory cilia, J.Exp. Bioi., 195, 1994, 307-328.
  • 10Titchmarsh, E. C., Introduction to the Theory of Fourier Integrals, Clarendon Press, Oxford, 1937.
Chinese Annals of Mathematics,Series B
2015年 第5期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部