Milovanović, Gradimir V.

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  • Milovanović, Gradimir V. (4)
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Author's Bibliography

Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors

Jokić, Ivana; Đurić, Zoran G.; Radulović, Katarina; Frantlović, Miloš; Milovanović, Gradimir V.; Krstajić, Predrag M.

(Basel : MDPI AG, 2021)

TY  - JOUR
AU  - Jokić, Ivana
AU  - Đurić, Zoran G.
AU  - Radulović, Katarina
AU  - Frantlović, Miloš
AU  - Milovanović, Gradimir V.
AU  - Krstajić, Predrag M.
PY  - 2021
AB  - In order to improve the interpretation of measurement results and to achieve the optimal performance of microfluidic biosensors, advanced mathematical models of their time response and noise are needed. The random nature of adsorption–desorption and mass transfer (MT) processes that generate the sensor response makes the sensor output signal inherently stochastic and necessitates the use of a stochastic approach in sensor response analysis. We present a stochastic model of the sensor time response, which takes into account the coupling of adsorption–desorption and MT processes. It is used for the analysis of response kinetics and ultimate noise performance of protein biosensors. We show that slow MT not only decelerates the response kinetics, but also increases the noise and decreases the sensor’s maximal achievable signal-to-noise ratio, thus degrading the ultimate sensor performance, including the minimal detectable/quantifiable analyte concentration. The results illustrate the significance of the presented model for the correct interpretation of measurement data, for the estimation of sensors’ noise performance metrics important for reliable analyte detection/quantification, as well as for sensor optimization in terms of the lower detection/quantification limit. They are also incentives for the further investigation of the MT influence in nanoscale sensors, as a possible cause of false-negative results in analyte detection experiments.
PB  - Basel : MDPI AG
T2  - Biosensors
T1  - Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors
SP  - 194
VL  - 11
IS  - 6
DO  - 10.3390/bios11060194
UR  - https://hdl.handle.net/21.15107/rcub_dais_11638
ER  - 
@article{
author = "Jokić, Ivana and Đurić, Zoran G. and Radulović, Katarina and Frantlović, Miloš and Milovanović, Gradimir V. and Krstajić, Predrag M.",
year = "2021",
abstract = "In order to improve the interpretation of measurement results and to achieve the optimal performance of microfluidic biosensors, advanced mathematical models of their time response and noise are needed. The random nature of adsorption–desorption and mass transfer (MT) processes that generate the sensor response makes the sensor output signal inherently stochastic and necessitates the use of a stochastic approach in sensor response analysis. We present a stochastic model of the sensor time response, which takes into account the coupling of adsorption–desorption and MT processes. It is used for the analysis of response kinetics and ultimate noise performance of protein biosensors. We show that slow MT not only decelerates the response kinetics, but also increases the noise and decreases the sensor’s maximal achievable signal-to-noise ratio, thus degrading the ultimate sensor performance, including the minimal detectable/quantifiable analyte concentration. The results illustrate the significance of the presented model for the correct interpretation of measurement data, for the estimation of sensors’ noise performance metrics important for reliable analyte detection/quantification, as well as for sensor optimization in terms of the lower detection/quantification limit. They are also incentives for the further investigation of the MT influence in nanoscale sensors, as a possible cause of false-negative results in analyte detection experiments.",
publisher = "Basel : MDPI AG",
journal = "Biosensors",
title = "Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors",
pages = "194",
volume = "11",
number = "6",
doi = "10.3390/bios11060194",
url = "https://hdl.handle.net/21.15107/rcub_dais_11638"
}
Jokić, I., Đurić, Z. G., Radulović, K., Frantlović, M., Milovanović, G. V.,& Krstajić, P. M. (2021). Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors.
Biosensors
Basel : MDPI AG., 11(6), 194.
https://doi.org/10.3390/bios11060194
Jokić I, Đurić ZG, Radulović K, Frantlović M, Milovanović GV, Krstajić PM. Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors. Biosensors. 2021;11(6):194.
doi:10.3390/bios11060194.
Jokić Ivana, Đurić Zoran G., Radulović Katarina, Frantlović Miloš, Milovanović Gradimir V., Krstajić Predrag M., "Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors" Biosensors, 11, no. 6 (2021):194,
https://doi.org/10.3390/bios11060194 .

The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list

Milovanović, Gradimir V.; Mateljević, Miodrag; Albijanić, Miloljub

(Београд : Српска академија наука и уметности, 2019)

TY  - CONF
AU  - Milovanović, Gradimir V.
AU  - Mateljević, Miodrag
AU  - Albijanić, Miloljub
PY  - 2019
PB  - Београд : Српска академија наука и уметности
C3  - Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth
T1  - The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list
SP  - 65
EP  - 92
UR  - https://hdl.handle.net/21.15107/rcub_dais_9568
ER  - 
@conference{
author = "Milovanović, Gradimir V. and Mateljević, Miodrag and Albijanić, Miloljub",
year = "2019",
publisher = "Београд : Српска академија наука и уметности",
journal = "Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth",
title = "The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list",
pages = "65-92",
url = "https://hdl.handle.net/21.15107/rcub_dais_9568"
}
Milovanović, G. V., Mateljević, M.,& Albijanić, M. (2019). The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list.
Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth
Београд : Српска академија наука и уметности., 65-92.
Milovanović GV, Mateljević M, Albijanić M. The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list. Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth. 2019;:65-92.
Milovanović Gradimir V., Mateljević Miodrag, Albijanić Miloljub, "The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list" Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth (2019):65-92

An efficient computation of parameters in the Rys quadrature formula

Milovanović, Gradimir V.

(Beograd : Académie Serbe des sciences et des arts, 2018)

TY  - CONF
AU  - Milovanović, Gradimir V.
PY  - 2018
AB  - We present an efficient procedure for constructing the so-called Gauss-Rys
quadrature formulas and the corresponding polynomials orthogonal on (−1, 1) with respect
to the even weight function w(t; x) = exp(−xt2), where x a positive parameter. Such GaussRys quadrature formulas were investigated earlier e.g. by M. Dupuis, J. Rys, H.F. King [J.
Chem. Phys. 65 (1976), 111 − 116; J. Comput. Chem. 4 (1983), 154 − 157], D.W. Schwenke
[Comput. Phys. Comm. 185 (2014), 762 − 763], and B.D. Shizgal [Comput. Theor. Chem.
1074 (2015), 178 − 184], and were used to evaluate electron repulsion integrals in quantum chemistry computer codes. The approach in this paper is based to a transformation of
quadratures on (−1, 1) with N nodes to ones on (0, 1) with only [(N + 1)/2] nodes and their
construction. The method of modified moments is used for getting recurrence coefficients.
Numerical experiments are included.
PB  - Beograd : Académie Serbe des sciences et des arts
C3  - Bulletin T.CLI de l’Académie serbe des sciences et des arts
T1  - An efficient computation of parameters in the Rys quadrature formula
SP  - 39
EP  - 64
UR  - https://hdl.handle.net/21.15107/rcub_dais_9083
ER  - 
@conference{
author = "Milovanović, Gradimir V.",
year = "2018",
abstract = "We present an efficient procedure for constructing the so-called Gauss-Rys
quadrature formulas and the corresponding polynomials orthogonal on (−1, 1) with respect
to the even weight function w(t; x) = exp(−xt2), where x a positive parameter. Such GaussRys quadrature formulas were investigated earlier e.g. by M. Dupuis, J. Rys, H.F. King [J.
Chem. Phys. 65 (1976), 111 − 116; J. Comput. Chem. 4 (1983), 154 − 157], D.W. Schwenke
[Comput. Phys. Comm. 185 (2014), 762 − 763], and B.D. Shizgal [Comput. Theor. Chem.
1074 (2015), 178 − 184], and were used to evaluate electron repulsion integrals in quantum chemistry computer codes. The approach in this paper is based to a transformation of
quadratures on (−1, 1) with N nodes to ones on (0, 1) with only [(N + 1)/2] nodes and their
construction. The method of modified moments is used for getting recurrence coefficients.
Numerical experiments are included.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLI de l’Académie serbe des sciences et des arts",
title = "An efficient computation of parameters in the Rys quadrature formula",
pages = "39-64",
url = "https://hdl.handle.net/21.15107/rcub_dais_9083"
}
Milovanović, G. V. (2018). An efficient computation of parameters in the Rys quadrature formula.
Bulletin T.CLI de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 39-64.
Milovanović GV. An efficient computation of parameters in the Rys quadrature formula. Bulletin T.CLI de l’Académie serbe des sciences et des arts. 2018;:39-64.
Milovanović Gradimir V., "An efficient computation of parameters in the Rys quadrature formula" Bulletin T.CLI de l’Académie serbe des sciences et des arts (2018):39-64

In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018)

Atanacković, Teodor M.; Hadzić, Olga; Ivić, Aleksandar; Milovanović, Gradimir V.; Pilipović, Stevan

(Beograd : Académie Serbe des sciences et des arts, 2018)

TY  - JOUR
AU  - Atanacković, Teodor M.
AU  - Hadzić, Olga
AU  - Ivić, Aleksandar
AU  - Milovanović, Gradimir V.
AU  - Pilipović, Stevan
PY  - 2018
AB  - The eminent scientist Bogoljub Stanković, Full member of the Serbian Academy
of Sciences and Arts (SASA) and a longtime Editor-in-Chief of the SASA Bulletin
of Mathematical Sciences, died on 16 May 2018.
PB  - Beograd : Académie Serbe des sciences et des arts
T2  - Bulletin T.CLI de l’Académie serbe des sciences et des arts
T1  - In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018)
SP  - 1
EP  - 4
UR  - https://hdl.handle.net/21.15107/rcub_dais_9079
ER  - 
@article{
author = "Atanacković, Teodor M. and Hadzić, Olga and Ivić, Aleksandar and Milovanović, Gradimir V. and Pilipović, Stevan",
year = "2018",
abstract = "The eminent scientist Bogoljub Stanković, Full member of the Serbian Academy
of Sciences and Arts (SASA) and a longtime Editor-in-Chief of the SASA Bulletin
of Mathematical Sciences, died on 16 May 2018.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLI de l’Académie serbe des sciences et des arts",
title = "In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018)",
pages = "1-4",
url = "https://hdl.handle.net/21.15107/rcub_dais_9079"
}
Atanacković, T. M., Hadzić, O., Ivić, A., Milovanović, G. V.,& Pilipović, S. (2018). In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018).
Bulletin T.CLI de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 1-4.
Atanacković TM, Hadzić O, Ivić A, Milovanović GV, Pilipović S. In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018). Bulletin T.CLI de l’Académie serbe des sciences et des arts. 2018;:1-4.
Atanacković Teodor M., Hadzić Olga, Ivić Aleksandar, Milovanović Gradimir V., Pilipović Stevan, "In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018)" Bulletin T.CLI de l’Académie serbe des sciences et des arts (2018):1-4