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A community computational challenge to predict the activity of pairs of compounds
Bansal, Mukesh,Yang, Jichen,Karan, Charles,Menden, Michael P,Costello, James C,Tang, Hao,Xiao, Guanghua,Li, Yajuan,Allen, Jeffrey,Zhong, Rui,Chen, Beibei,Kim, Minsoo,Wang, Tao,Heiser, Laura M,Realubit Nature Publishing Group, a division of Macmillan P 2014 Nature biotechnology Vol.32 No.12
Recent therapeutic successes have renewed interest in drug combinations, but experimental screening approaches are costly and often identify only small numbers of synergistic combinations. The DREAM consortium launched an open challenge to foster the development of in silico methods to computationally rank 91 compound pairs, from the most synergistic to the most antagonistic, based on gene-expression profiles of human B cells treated with individual compounds at multiple time points and concentrations. Using scoring metrics based on experimental dose-response curves, we assessed 32 methods (31 community-generated approaches and SynGen), four of which performed significantly better than random guessing. We highlight similarities between the methods. Although the accuracy of predictions was not optimal, we find that computational prediction of compound-pair activity is possible, and that community challenges can be useful to advance the field of in silico compound-synergy prediction.
CERTAIN FORMULAS INVOLVING A MULTI-INDEX MITTAG-LEFFLER FUNCTION
Bansal, Manish Kumar,Harjule, P.,Choi, Junesang,Mubeen, Shahid,Kumar, Devendra The Youngnam Mathematical Society 2019 East Asian mathematical journal Vol.35 No.1
Since Mittag-Leffler introduced the so-called Mittag-Leffler function, a number of its extensions have been investigated due mainly to their applications in a variety of research subjects. Shukla and Prajapati presented a lot of formulas involving a generalized Mittag-Leffler function in a systematic manner. Motivated mainly by Shukla and Prajapati's work, we aim to investigate a generalized multi-index Mittag-Leffler function and, among possible numerous formulas, choose to present several formulas involving this generalized multi-index Mittag-Leffler function such as a recurrence formula, derivative formula, three integral transformation formulas. The results presented here, being general, are pointed out to reduce to yield relatively simple formulas including known ones.
Robustness of Bayes forecast to Non-normality
Bansal, Ashok K. The Korean Statistical Society 1978 Journal of the Korean Statistical Society Vol.7 No.1
Bayesian procedures are in vogue to revise the parameter estimates of the forecasting model in the light of actual time series data. In this paper, we study the Bayes forecast for demand and the risk when (a) 'noise' and (b) mean demand rate in a constant process model have moderately non-normal probability distributions.
Bansal, V.,Sharma, A.,Ghanshyam, C.,Singla, M.L.,Kim, K.H. The Institution ; Hemisphere Pub. Corp. [distribut 2015 Food and bioproducts processing Vol.95 No.-
The effects of pulsed electric field (PEF) applying 26kVcm<SUP>-1</SUP> with 1μs monopolar pulses (for 500μs) on inactivation of Zygosaccharomyces bailii and the stability for the key quality characteristics (vitamin C, phenolic content, antioxidant capacity, nonenzymatic index, 5-hydroxymethyl-2-furfural (HMF), <SUP>o</SUP>brix, and pH) in Emblica officinalis juice were studied. These results were then compared to those of heat treatment (90<SUP>o</SUP>C for 60s) up to 40 days on storing at 4<SUP>o</SUP>C. PEF treatment reduced 5.1log cycles of Z. bailii with decreases in HMF concentration and browning index relative to heat treated juice. Simultaneously, PEF treated juice retained 63% of vitamin C and 88.9% of antioxidant capacity (p<0.05). However, heat treated juice lowered 4.9log cycles of Z. bailii and exhibited significant degradation of vitamin C and antioxidant capacity (p<0.01). After all, both treatments did not induce any major changes in pH and <SUP>o</SUP>brix levels of emblica juice. Electron microscopy was used as a tool to find Z. bailii damage induced. Investigation of their morphology showed a leakage of cellular debris owing to the rupture of cell membrane of PEF treated Z. bailii. Thus, PEF treatment on emblica juice may offer an enormous potential for upgrading its quality than the heat processing method.
Bansal, Anshuma,Patel, Firuza Darius,Rai, Bhavana,Dhanireddy, Bhaswanth,Sharma, Suresh Chand Asian Pacific Journal of Cancer Prevention 2014 Asian Pacific journal of cancer prevention Vol.15 No.5
Chemotherapy has significantly improved the prognosis of cancer patients with various malignancies. However, female patients, especially those whoich are premenopausal, suffer from significant chemotherapy induced ovarian function impairment, which decreases their quality of life. Many new techniques for ovarian preservation have been established in recent years. Although the use of gonadotrophin releasing hormone analogues (GnRHa) for this purpose is not a new concept, its effectiveness in protection of ovarian function is still debatable. This article deals with studies and metaanalyses which have been undertaken in the past, demonstrating the impact of GnRHa in ovarian function preservation, and whether their use can be implemented in routine practice.
Effect of Nonnormality on Bayes Decision Function for Testing Normal Mean
Bansal, Ashok K. The Korean Statistical Society 1979 Journal of the Korean Statistical Society Vol.8 No.1
A zone of sensitivity is developed to investigate the effect of nonnormality on the Bayes decision function for testing mean of a normal population when either parent or prior belongs to Edgeworthian family of moderately nonnormal probability density functions.
THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
BANSAL, DEEPAK,MAHARANA, SUDHANANDA,PRAJAPAT, JUGAL KISHORE Korean Mathematical Society 2015 대한수학회지 Vol.52 No.6
The estimate of third Hankel determinant $$H_{3,1}(f)=\left|a_1\;a_2\;a_3\\a_2\;a_3\;a_4\\a_3\;a_4\;a_5\right|$$ of the analytic function $f(z)=z+a2z^2+a3z^3+{\cdots}$, for which ${\Re}(1+zf^{{\prime}{\prime}}(z)/f^{\prime}(z))>-1/2$ are investigated. The corrected version of a known results [2, Theorem 3.1 and Theorem 3.3] are also obtained.
QUALITATIVE UNCERTAINTY PRINCIPLE FOR GABOR TRANSFORM
Bansal, Ashish,Kumar, Ajay Korean Mathematical Society 2017 대한수학회보 Vol.54 No.1
We discuss the qualitative uncertainty principle for Gabor transform on certain classes of the locally compact groups, like abelian groups, ${\mathbb{R}}^n{\times}K$, K ⋉ ${\mathbb{R}}^n$ where K is compact group. We shall also prove a weaker version of qualitative uncertainty principle for Gabor transform in case of compact groups.
Bansal, Manish Kumar,Kumar, Devendra,Jain, Rashmi Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.3
In this work, we evaluate the Mellin transform of the Marichev-Saigo-Maeda fractional integral operator with Appell's function $F_3$ type kernel. We then discuss six special cases of the result involving the Saigo fractional integral operator, the $Erd{\acute{e}}lyi$-Kober fractional integral operator, the Riemann-Liouville fractional integral operator and the Weyl fractional integral operator. We obtain new and known results as special cases of our main results. Finally, we obtain the images of S-generalized Gauss hypergeometric function under the operators of our study.