Signal and Image Restoration: Information-Theoretic Approaches

Noonan, Joseph P.; Basu, Prabahan

doi:10.1117/3.903451

Cited by 4 publications

(2 citation statements)

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“…( 1), we build the joint probability density of the mass particle and adsorption position. Instead of selecting a recovery method such as the minimummean-squared error (MMSE), maximum likelihood (ML) or maximum a posteriori (MAP) probability 47 , we here separately provide the probability density functions for the mass and position of the bacterial cells. The proposed inverse problem method is applied to the frequency jumps observed in Fig.…”

Section: Resultsmentioning

confidence: 99%

High-throughput determination of dry mass of single bacterial cells by ultrathin membrane resonators

et al. 2022

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How bacteria are able to maintain their size remains an open question. Techniques that can measure the biomass (dry mass) of single cells with high precision and high-throughput are demanded to elucidate this question. Here, we present a technological approach that combines the transport, guiding and focusing of individual bacteria from solution to the surface of an ultrathin silicon nitride membrane resonator in vacuum. The resonance frequencies of the membrane undergo abrupt variations at the instants where single cells land on the membrane surface. The resonator design displays a quasi-symmetric rectangular shape with an extraordinary capture area of 0.14 mm2, while maintaining a high mass resolution of 0.7 fg (1 fg = 10−15 g) to precisely resolve the dry mass of single cells. The small rectangularity of the membrane provides unprecedented frequency density of vibration modes that enables to retrieve the mass of individual cells with high accuracy by specially developed inverse problem theory. We apply this approach for profiling the dry mass distribution in Staphylococcus epidermidis and Escherichia coli cells. The technique allows the determination of the dry mass of single bacterial cells with an accuracy of about 1% at an unparalleled throughput of 20 cells/min. Finally, we revisit Koch & Schaechter model developed during 60 s to assess the intrinsic sources of stochasticity that originate cell size heterogeneity in steady-state populations. The results reveal the importance of mass resolution to correctly describe these mechanisms.

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Section: Resultsmentioning

confidence: 99%

High-throughput determination of dry mass of single bacterial cells by ultrathin membrane resonators

et al. 2022

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“…Then, the content of information in the images must be sensitive to the to cross-entropy (CE) analysis [14]; also known as relative entropy or Kullback-Leibler divergence [15].…”

Section: Cross-entropy and Information As A Perturbationmentioning

confidence: 99%

Analysis of the density and distribution of entropy in biomedical infrared imaging for Diabetes Mellitus Type II

Ortiz-Sosa¹,

Fuentes-Oliver²,

García‐Segundo³

et al. 2021

Biomed. Phys. Eng. Express

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We report a methodology to analyze data extracted from infrared images. These pictures show the lower limbs of a cohort of individuals belonging to, (1) voluntary controls and (2) patients diagnosed with diabetes mellitus type II. The analysis is presented in terms of Cross Entropy and temperature distributions; both using the associated thermal histograms. The temperature analysis is placed in terms of comparing the extreme values of dS/dQ, for controls and patients. In this analysis for the frontal view, the values of specificity and sensitivity calculated were 77.77% and 91.66%, respectively. For the back view, the specificity and sensitivity obtained were 88.8% and 83.3%, respectively. Instead of that, the cross-entropy analysis is placed in the modality of self-referencing. In this part of the study we obtained the coefficient of asymmetry and thermal response (ATR). The values of specificity and sensitivity for the ATR quotient in both cases were 83.3%. The results of both studies have a significant correlation with glucose (p < 0.01) and HbA1c (p < 0.01). It means that both approaches have statistical correspondence. By means of the Mann-Whitney U test, for independent samples, we get that the characteristic parameters we analyze can be differentiated among the populations of interest with a significance of p < 0.05. This suggests that both studies show consistency with the clinical diagnosis; exhibiting clear differences between control and patient groups.

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Information theoretic methods for image processing algorithm optimization

Prokushkin¹,

Galil

2015

SPIE Proceedings

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Signal and Image Restoration: Information-Theoretic Approaches

Cited by 4 publications

References 0 publications

High-throughput determination of dry mass of single bacterial cells by ultrathin membrane resonators

High-throughput determination of dry mass of single bacterial cells by ultrathin membrane resonators

Analysis of the density and distribution of entropy in biomedical infrared imaging for Diabetes Mellitus Type II

Information theoretic methods for image processing algorithm optimization

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