Article Per Year (5 Year)
p-Index From 2020 - 2025
1.671
P-Index
This Author published in this journals
All Journal Kubik JURNAL ISTEK JTAM (Jurnal Teori dan Aplikasi Matematika) KUBIK: Jurnal Publikasi Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Matematika Integratif ISTEK
Diny Zulkarnaen, Diny
UIN Sunan Gunung Djati Bandung
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Mathematics Mechanical Engineering Transportation

Published : 20 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 20 Documents
Search

 1   2 
Comparative Study of Parameter Estimation Methods in Pharmacokinetic Model with Oral Administration: Simulations of Theophylline Drug Concentration Zulkarnaen, Diny
KUBIK Vol 9, No 1 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i1.31233

Abstract

Parameter estimation for the elimination and absorption rate constants is performed in a pharmacokinetic model, where a drug is administered orally. Some methods have been introduced to estimate these parameters but without comparison which one gives better estimates. Here, two different methods are used for comparison in estimating the absorption rate constant: the Wagner-Nelson and residual methods. The Wagner-Nelson method requiring fewer data sets while the residual method uses all available data sets for estimation. For the elimination rate constant estimate, we use only the least square error method. Simulations are conducted using sample data points of Theophylline drug concentration that varies over time to estimate the parameters. These parameter values are then utilized to approximate the drug concentration over time, using both methods. These approximations are then compared with the actual data sets to see and calculate the error values so that the best method can be determined. The comparison shows that the residual method provides better approximation since this method utilizes the entire sample data points, while the Wagner-Nelson uses only the data in the beginning time, that is when the absorption process is dominant.
Penyelesaian Masalah Transportasi dengan Degenerasi dan Siklus Berulang Menggunakan Minimum Demand Method dan Maximum Difference Extreme Difference Method Muhtarulloh, Fahrudin; Mardiah, Evi Wardah; Huda, Arief Fatchul; Zulkarnaen, Diny
KUBIK Vol 8, No 1 (2023): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v8i1.30024

Abstract

The transportation problem is a linear programming model that can be used to regulate distribution from a source (product supply) to a destination that requires the product optimally with minimum costs. However, when carring out optimality tests, sometimes the optimal value cannot be determined due to degeneration and repeated cycles. The aim of this research is to overcome the problem of degeneration and repeated cycles that occur in optimization problems. The methods used in this research are Minimum Demand Method (MDM) and Maximum Difference Extreme Difference Method (MDEDM) as well as the optimality test, namely Modified Distribution (MODI). The results of data analysis show that analysis show that the Minimum Demand Method has more degeneration problems, namely 132 data in the balanced case and 137 data in the unbalanced case. The Maximum Difference Extreme Difference Method has more repeated cycle problems, namely 8 data in the balanced case and 9 data in the unbalanced case. From the calculation results it can be concluded that the Maximum Difference Extreme Difference Method is more optimal than the Minimum Demand Method.
SEIHR-SEI Mathematical Model of Zika Virus Transmission with Vector Control Shiddiqie, Ichwal Afrizan; Khumaeroh, Mia Siti; Zulkarnaen, Diny; Diana, Arista Fitri
KUBIK Vol 9, No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.30948

Abstract

Zika virus (ZIKV) is transmitted by Aedes Aegypti mosquito, which is recognized as a vector for viruses causing dengue fever and chikungunya. This study uses SEIHR‐SEI mathematical model to analyze the dynamics of Zika virus transmission. In this model, human population (host) is classified into five compartments: Susceptible Humans (Sh), Exposed Humans (Eh), Infected Humans (Ih), Hospitalized Humans (Hh) and Recovered Humans (Rh). Meanwhile, the mosquito population (vector) is divide into three compartments: Susceptible Vectors (Sv), Exposed Vectors (Ev), and Infected Vectors (Iv). Stability analysis is conducted using Routh‐Hurwitz criteria for assessing local stability and Lyapunov function for evaluating global stability. Moreover, Basic Reproduction Number (R0), which represents the average number of new infections produced by one infected individual in a susceptible population, is derived by using the Next Generation Matrix (NGM) method. The result shows that the equilibrium point for disease‐free conditions is globally asymptotic stable when R0 < 1, meanwhile the equilibrium point for endemic conditions is stable when R0 > 1. The simulation result using endemic data and sensitivity analysis of three parameters, including contact rate between susceptible humans and infected humans (c), hospitalization rate of infected individuals (τ ), and mosquito control rate (ω), reveals that c and ω exert a more significant effect on changes in R0 compared to τ . Therefore, minimizing contact with infected individuals or implementing vector control is more effective than isolating or hospitalizing infected patients.
Analytical Solutions of Single Dose Drug Models with Injection Administration: Literature Review Frizki Putra Dilalah; Diny Zulkarnaen
ISTEK Vol. 13 No. 1 (2024): Juni 2024
Publisher : Fakultas Sains dan Teknologi UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/istek.v13i1.929

Abstract

This literature review aims to explore the development the Single Dose Injection Models by finding their Analytical Solutions. The most very known single-compartment pharmacokinetic model with first-order elimination was developed by Tang & Xiao in 2007, where the elimination part is modified by the Michaelis-Menten kinetics. Years later, in 2015 Wu, Li, & Nekka developed the model by considering simultaneous elimination and drug distribution in the body, then they modified the more complex model through incorporating the endogenous production in 2018. These three models employ differential equations to depict changes in drug concentration, and not only utilize the Lambert W function, the models also introduce the X function to obtain the analytical solutions. The results are expected to provide a deeper understanding of drug dynamics in the body and to serve as a basis for further research and clinical applications in pharmacokinetics as well as to offer the deeper insights into drug delivery within the human body.
SEIHR-SEI Mathematical Model of Zika Virus Transmission with Vector Control Shiddiqie, Ichwal Afrizan; Khumaeroh, Mia Siti; Zulkarnaen, Diny; Diana, Arista Fitri
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.30948

Abstract

Zika virus (ZIKV) is transmitted by Aedes Aegypti mosquito, which is recognized as a vector for viruses causing dengue fever and chikungunya. This study uses SEIHR‐SEI mathematical model to analyze the dynamics of Zika virus transmission. In this model, human population (host) is classified into five compartments: Susceptible Humans (Sh), Exposed Humans (Eh), Infected Humans (Ih), Hospitalized Humans (Hh) and Recovered Humans (Rh). Meanwhile, the mosquito population (vector) is divide into three compartments: Susceptible Vectors (Sv), Exposed Vectors (Ev), and Infected Vectors (Iv). Stability analysis is conducted using Routh‐Hurwitz criteria for assessing local stability and Lyapunov function for evaluating global stability. Moreover, Basic Reproduction Number (R0), which represents the average number of new infections produced by one infected individual in a susceptible population, is derived by using the Next Generation Matrix (NGM) method. The result shows that the equilibrium point for disease‐free conditions is globally asymptotic stable when R0 < 1, meanwhile the equilibrium point for endemic conditions is stable when R0 > 1. The simulation result using endemic data and sensitivity analysis of three parameters, including contact rate between susceptible humans and infected humans (c), hospitalization rate of infected individuals (τ ), and mosquito control rate (ω), reveals that c and ω exert a more significant effect on changes in R0 compared to τ . Therefore, minimizing contact with infected individuals or implementing vector control is more effective than isolating or hospitalizing infected patients.
Comparative Study of Parameter Estimation Methods in Pharmacokinetic Model with Oral Administration: Simulations of Theophylline Drug Concentration Zulkarnaen, Diny
KUBIK Vol 9 No 1 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i1.31233

Abstract

Parameter estimation for the elimination and absorption rate constants is performed in a pharmacokinetic model, where a drug is administered orally. Some methods have been introduced to estimate these parameters but without comparison which one gives better estimates. Here, two different methods are used for comparison in estimating the absorption rate constant: the Wagner-Nelson and residual methods. The Wagner-Nelson method requiring fewer data sets while the residual method uses all available data sets for estimation. For the elimination rate constant estimate, we use only the least square error method. Simulations are conducted using sample data points of Theophylline drug concentration that varies over time to estimate the parameters. These parameter values are then utilized to approximate the drug concentration over time, using both methods. These approximations are then compared with the actual data sets to see and calculate the error values so that the best method can be determined. The comparison shows that the residual method provides better approximation since this method utilizes the entire sample data points, while the Wagner-Nelson uses only the data in the beginning time, that is when the absorption process is dominant.
Drug-Drug Interactions Pharmacokinetic Models with Extravascular Administration: Estimation of Elimination and Absorption Rate Constants Zulkarnaen, Diny; Irfani, Muhammad Syifa; Erianto, Elvi Syukrina
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 4 (2023): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i4.16479

Abstract

One and two-compartment pharmacokinetic models with drug-drug interactions are proposed. Two drugs are given orally simultaneously, so that their interaction affects the drug absorption process and subsequently the elimination process. The aim of this paper is to estimate the elimination and absorption rate constants by evaluating the data set of time and drug concentration. This data set was divided into two time phases: large-time elimination phase to estimate the elimination rate constant, and small-time absorption phase to estimate the absorption rate constant. Since the models are nonlinear, the Taylor expansion is employed to so that the Wagner-Nelson and the Loo-Riegelman methods can be used for estimation. Finally, simulations were performed using the generated arbitrary data set of time and concentration, instead of an actual data set, to derive the solution of drug concentration concerning time numerically. In these simulations we compared the original parameter values with their estimates for the one and two-compartment models, and we concluded that the two-compartment model produced better estimates than the one-compartment model. Qualitatively, the two-compartment model gives smaller drug concentration curve deviations between the original and the estimated curve compared with the one-compartment model.
TWO-COMPARTMENT PHARMACOKINETIC MODELS WITH SINGLE AND DOUBLE ELIMINATION RATES FOR ORAL ADMINISTRATION OF TWO DRUGS Juwita, Rhenata; Zulkarnaen, Diny; Khumaeroh, Mia Siti
Journal of Fundamental Mathematics and Applications (JFMA) Vol 8, No 1 (2025)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v8i1.24852

Abstract

This paper presents two pharmacokinetic models with two compartments, incorporating both single and double elimination rates for the oral administration of two drugs. The models allow for the estimation of the absorption, distribution, and elimination rate constants. This estimation is performed in two phases based on the time intervals. The first phase estimates the distribution and elimination rates using concentration data from larger time data points, employing residual techniques and least squares error. In contrast, the absorption rate estimation is conducted using the Wagner-Nelson method for smaller time intervals. Prior to these estimations, an analytical solution is required, for which Laplace transformation is utilized. Finally, graphical simulations are performed to observe the dynamics of drug concentrations throughout the processes of absorption, distribution, and elimination. Additionally, these simulations facilitate a comparison between the actual data of drug concentrations in each compartment and their respective approximations.
SEIHR-SEI Mathematical Model of Zika Virus Transmission with Vector Control Shiddiqie, Ichwal Afrizan; Khumaeroh, Mia Siti; Zulkarnaen, Diny; Diana, Arista Fitri
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.30948

Abstract

Zika virus (ZIKV) is transmitted by Aedes Aegypti mosquito, which is recognized as a vector for viruses causing dengue fever and chikungunya. This study uses SEIHR‐SEI mathematical model to analyze the dynamics of Zika virus transmission. In this model, human population (host) is classified into five compartments: Susceptible Humans (Sh), Exposed Humans (Eh), Infected Humans (Ih), Hospitalized Humans (Hh) and Recovered Humans (Rh). Meanwhile, the mosquito population (vector) is divide into three compartments: Susceptible Vectors (Sv), Exposed Vectors (Ev), and Infected Vectors (Iv). Stability analysis is conducted using Routh‐Hurwitz criteria for assessing local stability and Lyapunov function for evaluating global stability. Moreover, Basic Reproduction Number (R0), which represents the average number of new infections produced by one infected individual in a susceptible population, is derived by using the Next Generation Matrix (NGM) method. The result shows that the equilibrium point for disease‐free conditions is globally asymptotic stable when R0 < 1, meanwhile the equilibrium point for endemic conditions is stable when R0 > 1. The simulation result using endemic data and sensitivity analysis of three parameters, including contact rate between susceptible humans and infected humans (c), hospitalization rate of infected individuals (τ ), and mosquito control rate (ω), reveals that c and ω exert a more significant effect on changes in R0 compared to τ . Therefore, minimizing contact with infected individuals or implementing vector control is more effective than isolating or hospitalizing infected patients.
Comparative Study of Parameter Estimation Methods in Pharmacokinetic Model with Oral Administration: Simulations of Theophylline Drug Concentration Zulkarnaen, Diny
KUBIK Vol 9 No 1 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i1.31233

Abstract

Parameter estimation for the elimination and absorption rate constants is performed in a pharmacokinetic model, where a drug is administered orally. Some methods have been introduced to estimate these parameters but without comparison which one gives better estimates. Here, two different methods are used for comparison in estimating the absorption rate constant: the Wagner-Nelson and residual methods. The Wagner-Nelson method requiring fewer data sets while the residual method uses all available data sets for estimation. For the elimination rate constant estimate, we use only the least square error method. Simulations are conducted using sample data points of Theophylline drug concentration that varies over time to estimate the parameters. These parameter values are then utilized to approximate the drug concentration over time, using both methods. These approximations are then compared with the actual data sets to see and calculate the error values so that the best method can be determined. The comparison shows that the residual method provides better approximation since this method utilizes the entire sample data points, while the Wagner-Nelson uses only the data in the beginning time, that is when the absorption process is dominant.
Co-Authors Diana, Arista Fitri Elis Ratna Wulan Erianto, Elvi Syukrina Esih Sukaesih, Esih Fahrudin Muhtarulloh Feni Siti Fathonah Frizki Putra Dilalah Huda, Arief Fatchul Ipah Junaedi Irfani, Muhammad Syifa Juwita, Rhenata Khumaeroh, Mia Siti Lazwardi, Riad Taufik Mardiah, Evi Wardah Riad Taufik Lazwardi Shiddiqie, Ichwal Afrizan Siti Julaeha Sri Mulyati Sukarti Sri Mulyati Sukarti, Sri Mulyati