Nonlocal fractal calculus based analyses of electrical circuits on fractal set (2022)

Title              :  Nonlocal fractal calculus based analyses of electrical circuits on fractal set

Researcher       : Banchuin, R.
Department      :  Faculty of Engineering, & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            : 

Purpose

The purpose of this paper is to present the analyses of electrical circuits with arbitrary source terms defined on middle b cantor set by means of nonlocal fractal calculus and to evaluate the appropriateness of such unconventional calculus.

Design/methodology/approach

The nonlocal fractal integro-differential equations describing RL, RC, LC and RLC circuits with arbitrary source terms defined on middle b cantor set have been formulated and solved by means of fractal Laplace transformation. Numerical simulations based on the derived solutions have been performed where an LC circuit has been studied by means of Lagrangian and Hamiltonian formalisms. The nonlocal fractal calculus-based Lagrangian and Hamiltonian equations have been derived and the local fractal calculus-based ones have been revisited.

Findings

The author has found that the LC circuit defined on a middle b cantor set become a physically unsound system due to the unreasonable associated Hamiltonian unless the local fractal calculus has been applied instead.

Originality/value

For the first time, the nonlocal fractal calculus-based analyses of electrical circuits with arbitrary source terms have been performed where those circuits with order higher than 1 have also been analyzed. For the first time, the nonlocal fractal calculus-based Lagrangian and Hamiltonian equations have been proposed. The revised contradiction free local fractal calculus-based Lagrangian and Hamiltonian equations have been presented. A comparison of local and nonlocal fractal calculus in terms of Lagrangian and Hamiltonian formalisms have been made where a drawback of the nonlocal one has been pointed out.

Link to article  :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2022, 41(1), 528–549. https://doi.org/10.1108/COMPEL-08-2021-0269

Journal            :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering / in Scopus

Citation  Banchuin, R. (2022). Nonlocal fractal calculus based analyses of electrical circuits on fractal set. COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 41(1), 528–549. https://doi.org/10.1108/COMPEL-08-2021-0269


ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม : https://e-research.siam.edu/kb/nonlocal-fractal-calculus/

Quick View

Obstetric and Neonatal Outcomes of Excessive Weight Gain in Different Pre-Pregnancy Body Mass Index using BMI Criteria for Asians by World Health Organization Western Pacific Region (WPRO) (2020)

Title           : Obstetric and Neonatal Outcomes of Excessive Weight Gain in Different Pre-Pregnancy Body Mass Index using BMI Criteria for Asians by World Health Organization Western Pacific Region (WPRO)

Researcher       :  Somprasit, C.Tanprasertkul, C.Nanthakomon, T.Kovavisarach, E., Rattanasiri, T.,… Saksiriwutth, P.

Abstract            : Objective: To evaluate the relationship between gestational weight gain and pre-pregnancy body mass index (BMI) on the risk of adverse obstetric and neonatal outcomes using cut off BMI criteria by Regional Office for the Western Pacific Region of WHO (WPRO).
Materials and Methods:
The present study was a retrospective cohort. Subjects of live birth singletons who had full term delivered at four tertiary care centers, teaching university hospitals between January and December 2012 were enrolled. All pregnant women with pre-pregnancy BMI 18.5 kg/m2 or over were recruited and categorized into two groups, normal BMI and high BMI. The level of BMI at 18.5 to 22.9 kg/m2 was defined as normal BMI, and level at or over 23 kg/m2 was defined as high BMI, respectively. Gestational weight gain (GWG) was grouped into two categories as recommended weight gain (RWG) and excessive weight gain (EWG) which defined as 11.5 to 16 kg and above 16 kg in normal pre-pregnancy BMI and 5 to 9 kg and above 9 kg in high prepregnancy BMI, respectively. The association between RWG and EWG in different pre-pregnancy BMI groups and poor adverse pregnancy outcomes were evaluated.
Results:
Two thousand seven hundred and thirty-three pregnant women were recruited. Normal and high pre-pregnancy BMI women were 1,840 (67.33%) and 893 (32.67%), respectively. Of these, 2,036 cases had complete data for evaluation. In normal prepregnancy BMI, 737 (59.58%) were categorized as RWG (11.5 to 16 kg) and 500 (40.42%) as EWG (>16 kg), while in high prepregnancy BMI, 273 (34.17%) were categorized as RWG (5 to 9 kg) and 526 (65.83%) as EWG (>9 kg). The mean weight gain in the normal pre-pregnancy BMI group was 13.80+1.35 kg vs. 20.39+3.84 kg in the RWG and EWG group, respectively. While the mean weight gain in high pre-pregnancy BMI group was 7.32+1.38 kg vs. 15.24+4.46 kg in the RWG and EWG group, respectively. In multivariate logistic analysis, normal pre-pregnancy BMI group with EWG had increased risk of instrumental delivery or cesarean section (Odd ratio; with OR 1.06, 95% CI 1.03 to 1.08, p<0.001) and high pre-pregnancy BMI group with EWG, there was significant\ increased risk of preeclampsia with birth weight above 90th centile (OR 1.09, 95% CI 1.04 to 1.15 and OR 1.09, 95% CI 1.06 to 1.12 with p = 0.001 and <0.001, respectively).
Conclusion:
For pregnant women with high pre-pregnancy BMI by WPRO criteria increased the risk of pregnancy complications and adverse pregnancy outcomes especially in excessive weight gain women. The high pre-pregnancy BMI should be a concern for pre-conception counseling. Optimal GWG ranges should develop based on pre-pregnancy BMI cut off for Asian women.

Keywords: Neonatal birth weight, Gestational weight gain, Pre-pregnancy BMI, WPRO


Link to Academic article: http://www.jmatonline.com/index.php/jmat/article/view/11079


Journal : Journal of the Medical Association of Thailand2020, 103(Suppl.4)


Bibliography     : Somprasit, C., Tanprasertkul, C., Nanthakomon, T., Vinayanuvattikhun, N., Kovavisarach, E., Panichakul, P.,… Saksiriwutth, P. (2020). Obstetric and Neonatal Outcomes of Excessive Weight Gain in Different Pre-Pregnancy Body Mass Index using BMI Criteria for Asians by World Health Organization Western Pacific Region (WPRO). Journal of the Medical Association of Thailand, 103(Suppl.4), 88–93.


 

Quick View

On the analytical modeling of fractal memelement and inverse memelement (2024)

 

Title              :  On the analytical modeling of fractal memelement and inverse memelement

Researcher       Banchuin, R.
Department      :  Faculty of Engineering, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            : In this work, an improved analytical model of fractal memelement in which the pinched point shifting has been considered and the original analytical model of fractal inverse memelement have been proposed. These fractal circuit elements are the memelement, and inverse memelement operates based on the principle of electromagnetic in fractal time/space, which must be applied whenever the current flows through fractal media. These models are important because these memory elements can be realized based on the porous material, which is a fractal media. In addition, they can employ self-similarity, which is hard to be simulated by using the traditional models. This is because such self-similarity can be well explained by the fractal set-based model, yet those traditional models are based on the set of real values. Therefore, for deriving the proposed models, the fractal calculus, which is oriented to the fractal set, has been adopted as the mathematical basis. From the analytical and numerical analyses based on the derived models, it has been found that both memelement and inverse memelement can retain their unique frequency characteristics despite being operated based on the abovementioned principle. In addition, their input–output relationships are mathematically differentiable albeit the inputs and outputs themselves are not.


Link to article  :  International Journal of Circuit Theory and Applications, Version of Record online: 26 March 2024 https://doi.org/10.1002/cta.4023

Journal            :  International Journal of Circuit Theory and Applications / in Scopus

Bibliography     :  Banchuin, R. (2024,  March 26). On the analytical modeling of fractal memelement and inverse memelement. International Journal of Circuit Theory and Applications, Version of Record online. https://doi.org/10.1002/cta.4023


Quick View

On The Fractional Domain Analysis of HP TiO2 Memristor Based Circuits with Fractional Conformable Derivative (2021)

Title              :  On The Fractional Domain Analysis of HP TiO2 Memristor Based Circuits with Fractional Conformable Derivative

Researcher       : Banchuin, R.
Department      :  Faculty of Engineering, & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            :  For the first time, the physical memristor-based circuits i.e., HP TiO2 memristor-based circuits, of both series and parallel structures, have been extensively analyzed in the fractional domain by means of the state of the art yet simple fractional conformable derivative-based differential equations. Different outcome from the hypotheticalmemory element-based previous researches have been obtained. The dimensional consistencies of the fractional derivatives have also been concerned. The often-cited Joglekar’s window function has been adopted for modelling the boundary effect of the memristor and adding more nonlinearity close to the bounds of the memristor’s state variable. The formulated fractional differential equations have been solved and the related electrical quantities have been determined. The computational simulations have been performed. The stability analyses of both circuits have also been presented where it has been mathematically verified that only these HP TiO2 memristor-based circuits are stable always due to the boundary effect which does not exist in hypothetical elements assumed in those previous works. We also point out that that only those HP TiO2 memristor-based circuits of order higher than 3 are capable to exhibit the complex dynamics as such memristor lacks the local activity.


Link to article  : Cogent Engineering, 2021, 8(1), 1986198. https://doi.org/10.1080/23311916.2021.1986198

Journal            :  Cogent Engineering  / in Scopus

Citation  Banchuin, R. (2021). On the fractional domain analysis of HP TiO2 memristor based circuits with fractional conformable derivative. Cogent Engineering, 8(1), 1986198. https://doi.org/10.1080/23311916.2021.1986198


ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม : https://e-research.siam.edu/kb/on-the-fractional-domain/

Quick View

On the fractional domain analysis of negative group delay circuits (2024)

 

Title              :  On the fractional domain analysis of negative group delay circuits

Researcher       Banchuin, R.
Department      :  Faculty of Engineering, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            : In this work, the analysis of negative group delay circuits in fractional domain has been conducted. The low pass and the high pass negative group delay circuits constructed based on passive network have been chosen as our candidate circuits. For performing the analysis in fractional domain, the novel Caputo–Fabrizio derivative-based fractional impedance have been introduced to both circuits. The crucial parameters, the necessary conditions, and the existence conditions of both candidate negative group delay circuits have been formulated. The simulations have been conducted based on the formulated results where the comparisons with the conventional prototypes have been made. The verifications by the proof-of-concept circuits have also been performed. In addition, the effects of variation in the order of fractional impedances have been investigated. In summary, it has been found that considering these negative group delay circuits in the fractional domain, which effectively taking unavoidable nonidealities that cannot be modeled in conventional domain into account, significantly alters their characteristics especially the low pass circuit. However they can retain their low pass and high pass negative group delay functions.


Link to article  :  International Journal of Circuit Theory and Applications, 2024, 52(3), pp. 1531–1546  https://doi.org/10.1002/cta.3819

Journal            :  International Journal of Circuit Theory and Applications / in Scopus

Bibliography     :  Banchuin, R. (2024). On the fractional domain analysis of negative group delay circuitsd. International Journal of Circuit Theory and Applications, 52(3), 1531–1546  https://doi.org/10.1002/cta.3819

 


Quick View

On the noise performances of fractal-fractional electrical circuits (2023)

 

Title              :  On the noise performances of fractal-fractional electrical circuits

Researcher       Banchuin, R.
Department      : Faculty of Engineering & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :   rawid.ban@siam.edu

Abstract            :  In this work, the noise performances of the fractal-fractional electrical circuits have been addressed. The nonlocal fractal calculus has been adopted as our mathematical basis. The fractal time component has also been included for the physical measurability of electrical quantities. The derivations of crucial stochastic parameters of circuit responses, which determine their noise performances, have been performed. Numerical simulations have also been conducted where the influences of Hausdorff dimension of the fractal set, orders of fractal-fractional reactive components, and other parameters on the noise performances have been studied. Regardless to any specific circuit, we have found that the noise performances can be improved by increasing the orders of fractal-fractional reactive components. The optimum Hausdorff dimensions, which the best noise performances can be achieved given the orders of fractal-fractional reactive components, have also been calculated. The results proposed in this work serve as the foundation for understanding noise in fractal-fractional electrical circuits and can be extensively applied to large-scaled circuits, for example, the infinite circuit networks and so forth.


Link to article  :  International Journal of Circuit Theory and Applications, 2023, 51(1), pp. 80–96. https://doi.org/10.1002/cta.3407

Journal            :  International Journal of Circuit Theory and Applications / in Scopus

Bibliography     :  Banchuin, R. (2023). On the noise performances of fractal-fractional electrical circuits. International Journal of Circuit Theory and Applications, 51(1), 80–96. https://doi.org/10.1002/cta.3407


ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม : https://e-research.siam.edu/kb/on-the-noise-performances/

Quick View

On the test of novel constitutive relation of capacitor for electrical circuit analysis: a fractal calculus-based approach (2023)

 

Title              :  On the test of novel constitutive relation of capacitor for electrical circuit analysis: a fractal calculus-based approach

Researcher       : Banchuin, R.
Department      :  Faculty of Engineering, & Graduated School of IT, Siam University, Bangkok, Thailand
Email                     :  rawid.ban@siam.edu

Abstract            :

Purpose

The purpose of this paper is to test the capability to properly analyze the electrical circuits of a novel constitutive relation of capacitor.

Design/methodology/approach

For ceteris paribus, the constitutive relations of the resistor and inductor have been reformulated by following the novel constitutive relation of capacitor. The responses of RL, RC, LC and RLC circuits defined on the fractal set described by these definitions have been derived by means of the fractal calculus and fractal Laplace transformation. A comparative Hamiltonian formalism-based analysis has been performed where the circuits described by the conventional and the formerly proposed revisited constitutive relations have also been considered.

Findings

This study has found that the novel constitutive relations give unreasonable results unlike the conventional ones. Like such previous revisited constitutive relations, an odd Hamiltonian has been obtained. On the other hand, the conventional constitutive relations give a reasonable Hamiltonian.

Originality/value

To the best of the author’s knowledge, for the first time, the analysis of fractal set defined electrical circuits by means of unconventional constitutive relations has been performed where the deficiency of the tested capacitive constitutive relation has been pointed out.


Link to article  :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2023, 42(2), pp. 506–525. https://doi.org/10.1108/COMPEL-04-2022-0143

Journal            :  COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering / in Scopus

Citation   Banchuin, R. (2023). On the test of novel constitutive relation of capacitor for electrical circuit analysis: a fractal calculus-based approach. COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 42(2), 506–525. https://doi.org/10.1108/COMPEL-04-2022-0143


Quick View

Optimal Meropenem Dosing Regimens in Patients Undergoing Continuous Renal Replacement Therapy: Systematic Review and Monte Carlo Simulations (2023)

Title           : Optimal Meropenem Dosing Regimens in Patients Undergoing Continuous Renal Replacement Therapy: Systematic Review and Monte Carlo Simulations

Researcher       : Taniya Charoensareerat, Weerachai Chaijamorn, Pathakorn Kerdnimith, Nutsinee Kosumwisaisakul, Piyakamol Teeranaew, Dhakrit Rungkitwattanakul, Apinya Boonpeng,  Nattachai Srisawate & Sutthiporn Pattharachayakul

Link to article: Blood Purification, 2023 May 5, pages 1-13. https://doi.org/10.1159/000529694

Citation  : Charoensareerat T., Chaijamorn W., Kerdnimith P., Kosumwisaisakul N., Teeranaew P., Rungkitwattanakul D., Boonpeng A.,  Srisawate N., & Pattharachayakul S. (2023). Optimal meropenem dosing regimens in patients undergoing continuous renal replacement therapy: Systematic review and monte carlo simulations. Blood Purification, 5, 1-13. https://doi.org/10.1159/000529694


Journal : Blood Purification / in Scopus


ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม  : https://e-research.siam.edu/kb/optimal-meropenem-dosing-regimens/

Quick View

Optimization of coconut protein deamidation using protein-glutaminase and its effect on solubility, emulsification, and foaming properties of the proteins (2018)

Title              :  Optimization of coconut protein deamidation using protein-glutaminase and its effect on solubility, emulsification, and foaming properties of the proteins

Researcher       Kunarayakul, S.Thaiphanit, S.Anprung, P.Suppavorasatit, I.

Department     : ภาควิชาเทคโนโลยีการอาหาร คณะวิทยาศาสตร์ มหาวิทยาลัยสยาม

E-mail                : somruedee.tha@siam.edu

ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม: –


Link to article: Food Hydrocolloids, 2018, 79, pp. 197–207. https://doi.org/10.1016/j.foodhyd.2017.12.031


Journal :  Food Hydrocolloids / in Scopus


Bibliography     :  Kunarayakul, S.Thaiphanit, S.Anprung, P., & Suppavorasatit, I. (2018). Optimization of coconut protein deamidation using protein-glutaminase and its effect on solubility, emulsification, and foaming properties of the proteins. Food Hydrocolloids, 79, 197–207. https://doi.org/10.1016/j.foodhyd.2017.12.031


 

Quick View

Oral calcium and vitamin D supplements differentially alter exploratory, anxiety-like behaviors and memory in male rats (2023)

Title           :  Oral calcium and vitamin D supplements differentially alter exploratory, anxiety-like behaviors and memory in male rats

Researcher       :  Sarawut Lapmanee, Sakkarin Bhubhanil, Siriwan Sriwong, Chaowalit Yuajit, Prapimpun Wongchitrat, Jarinthorn Teerapornpuntakit, Panan Suntornsaratoon, Jantarima Charoenphandhu, Narattaphol Charoenphandhu

Department     : Faculty of Medicine, Siam University, Bangkok, Thailand

E-mail                : sarawut.lap@siam.ed

Link to article :  PLoS One, 2023 Aug 11, 18(8), e0290106. https://doi.org/10.1371/journal.pone.0290106

Citation  :  Lapmanee, S., Bhubhanil, S., Sriwong, S., Yuajit, C., Wongchitrat, P., Teerapornpuntakit, J., Suntornsaratoon, P., Charoenphandhu, J. & Charoenphandhu, N. (2023). Oral calcium and vitamin D supplements differentially alter exploratory, anxiety-like behaviors and memory in male rats. PLoS One, 18(8), e0290106.  https://doi.org/10.1371/journal.pone.0290106


Journal :  PLoS One  / in Scopus


ฐานข้อมูลงานวิจัย มหาวิทยาลัยสยาม  :  https://e-research.siam.edu/kb/oral-calcium-and-vitamin-d/

Quick View