scholarly journals Mathematical modelling of molecular heterogeneity identifies novel markers and subpopulations in complex tumors

2018 ◽  
Author(s):  
Lulu Chen ◽  
Niya Wang ◽  
Robert Clarke ◽  
Zhen Zhang ◽  
Yue Wang

AbstractIntratumor heterogeneity, as both a major confounding factor and an underexploited information source, is widely implicated as a key driver of drug resistance. While a handful of reports have demonstrated the potential of supervised methods to deconvolute intratumor heterogeneity, these approaches require a priori information on the marker genes or composition of known subpopulations. To address the critical problem of the absence of validated marker genes for many (including novel) subpopulations, we developed convex analysis of mixtures (CAM), a fully unsupervised deconvolution method, for identifying marker genes and subpopulations directly from original mixed molecular expressions.

2016 ◽  
Vol 63 ◽  
pp. 1-22 ◽  
Author(s):  
Maya Dawood ◽  
Cindy Cappelle ◽  
Maan E. El Najjar ◽  
Mohamad Khalil ◽  
Bachar El Hassan ◽  
...  

2000 ◽  
Vol 54 (5) ◽  
pp. 721-730 ◽  
Author(s):  
S. S. Kharintsev ◽  
D. I. Kamalova ◽  
M. Kh. Salakhov

The problem of improving the resolution of composite spectra with statistically self-similar (fractal) noise is considered within the framework of derivative spectrometry. An algorithm of the numerical differentiation of an arbitrary (including fractional) order of spectra is produced by the statistical regularization method taking into account a priori information on statistical properties of the fractal noise. Fractal noise is analyzed in terms of the statistical Hurst method. The efficiency and expedience of this algorithm are exemplified by treating simulated and experimental IR spectra.


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