Articles
<![CDATA[ANALISIS MODEL MATEMATIKA PADA KANKER SERVIKS DENGAN PENGELAKAN SISTEM IMUN DAN TERAPI SiRNA ]]>
<![CDATA[Winanda, Rara Sandhy]]>;
<![CDATA[Purwadi, Joko]]>
<![CDATA[ AdMathEdu : Mathematics Education, Mathematics, and Applied Mathematics Journal Vol 8, No 2: Desember 2018 ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/admathedu.v8i2.12348
<![CDATA[Pada penelitian ini dibahas tentang dinamika interaksi antara sistem imun dan sel kanker serviks. Model matematika yang terbentuk berupa sistem persamaan biasa non linear yang menjelaskan hubungan interaksi antara sel kanker serviks, sistem imun, senyawa sitokin IL-2, dan senyawa TGF-. Pertumbuhan sel kanker serviks dipicu oleh senyawa TGF- dan dihambat oleh pemberian terapi siRNA. Terapi ini bekerja mengurangi jumlah sel kanker serviks dengan menghambat sintesis mRNA yang menambah jumlah sel kanker serviks. Tujuan penulisan paper ini adalah menganalisis dua hal tentang kestabilan titik ekuilibrium bebas kanker dan eksistensi titik ekuilibrium infeksi HPV. Berdasarkan analisis model matematika terhadap lima titik ekuilibirium, yaitu terdiri dari tiga titik ekuilibirum bebas kanker dan dua titik ekuilibrium infeksi HPV, dua titik ekuilibrium bebas kanker bersifat tak stabil dan satu titik ekuilibrium stabil asimtotik dengan syarat tertentu, dan dua titik ekuilibrium infeksi HPV masing-masingnya memuat akar dari polinomial pangkat empat dan pangkat enam. Eksistensi titik ekuilibrium infeksi HPV ditentukan untuk menjamin bahwa kasus ini dapat mempunyai interpretasi biologis. ]]>
<![CDATA[ANALISIS MODEL MATEMATIKA PADA KANKER SERVIKS DENGAN PENGELAKAN SISTEM IMUN DAN TERAPI SiRNA ]]>
<![CDATA[Rara Sandhy Winanda]]>;
<![CDATA[Joko Purwadi]]>
<![CDATA[ AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika dan Matematika Terapan Vol 8, No 2: Desember 2018 ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/admathedu.v8i2.12348
<![CDATA[Pada penelitian ini dibahas tentang dinamika interaksi antara sistem imun dan sel kanker serviks. Model matematika yang terbentuk berupa sistem persamaan biasa non linear yang menjelaskan hubungan interaksi antara sel kanker serviks, sistem imun, senyawa sitokin IL-2, dan senyawa TGF-.  Pertumbuhan sel kanker serviks dipicu oleh senyawa TGF- dan dihambat oleh pemberian terapi siRNA. Terapi ini bekerja mengurangi jumlah sel kanker serviks dengan menghambat sintesis mRNA yang menambah jumlah sel kanker serviks. Tujuan penulisan paper ini adalah menganalisis dua hal tentang kestabilan titik ekuilibrium bebas kanker dan eksistensi titik ekuilibrium infeksi HPV. Berdasarkan analisis model matematika terhadap lima titik ekuilibirium, yaitu terdiri dari tiga titik ekuilibirum bebas kanker dan dua titik ekuilibrium infeksi HPV, dua titik ekuilibrium bebas kanker bersifat tak stabil dan satu titik ekuilibrium stabil asimtotik dengan syarat tertentu, dan dua titik ekuilibrium infeksi HPV masing-masingnya memuat akar dari polinomial pangkat empat dan pangkat enam. Eksistensi titik ekuilibrium infeksi HPV ditentukan untuk menjamin bahwa kasus ini dapat mempunyai interpretasi biologis.  ]]>
<![CDATA[Model Matematika Interaksi Sel Kanker dan Sel Imun dengan Efek Kemoterapi ]]>
<![CDATA[Rara Sandhy Winanda]]>;
<![CDATA[Melia Catur Anggraini]]>
<![CDATA[ Jurnal Sains Matematika dan Statistika Vol 6, No 1 (2020): JSMS Januari 2020 ]]>
Publisher : <![CDATA[Universitas Islam Negeri Sultan Syarif Kasim Riau ]]>
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DOI: 10.24014/jsms.v6i1.9258
<![CDATA[Penelitian ini membahas tentang interaksi antara sel kanker dengan sel imun yang terdiri atas CTL dan sel T Helper, pada kasus kemoterapi. Model matematika dianalisis untuk memperoleh kestabilan lokal di sekitar titik ekuilibrium dengan menggunakan Matriks Jacobian. Analisis dilakukan pada kasus interaksi antara sel imun dan sel kanker dengan kemoterapi dan tanpa pemberian efek kemoterapi. Pada kasus tanpa kemoterapi diperoleh lima titik ekuilibrium yaitu tiga itik ekuilibrium bebas infeksi yang tidak stabil, satu titik ekuilibrium infeksi stabil dengan syarat tertentu, dan satu titik ekuilibrium infeksi yang stabil asimtotik. Sedangkan pada kasus kemoterapi diperoleh hasil yang lebih baik bagi penderita kanker yaitu terdapat enam titik ekuilibrium dimana dua titik ekulibrium bebas infeksi stabil asimtotik dengan syarat tertentu, satu titik ekulibirum bebas infeksi tidak stabil, dua titik ekulibrium infeksi stabil asimtotik dengan syarat tertentu dan satu titik ekulibrium infeksi stabil asimtotik.]]>
<![CDATA[University Students' Procrastination: A Mathematical Model (Case Studies: Student in Mathematics Department Universitas Negeri Padang) ]]>
<![CDATA[Rara Sandhy Winanda]]>;
<![CDATA[Akira Mikail]]>;
<![CDATA[Defri Ahmad]]>;
<![CDATA[Dina Agustina]]>;
<![CDATA[Rahmawati Rahmawati]]>
<![CDATA[ EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 23 No. 02 (2022): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464) ]]>
Publisher : <![CDATA[Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia ]]>
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DOI: 10.24036/eksakta/vol23-iss02/315
<![CDATA[Mathematical modeling of procrastination was carried out on students in the Mathematics Department at Universitas Negeri Padang. Procrastination is the tendency to delay work and can be contagious among students. Mathematical modeling of procrastination aims to show the spread of procrastination among students. The SEIR compartment model was applied in this study. From a total of 1,154 population members, 93 samples were randomly selected and were given a questionnaire to estimate the parameter values in the model. A couple of steady states appear in the model. The free disease steady state has a biological meaning since all the variables are real, while the endemic steady state is surreal in biological terms. The number of its basic reproduction number, from which the parameter values are derived from the primary data, indicates stability analysis near the free disease steady states. The result shows that procrastination is spread among students in the population, with the number of Ro is 1,009.]]>
<![CDATA[Comparison of Portfolio Mean-Variance Method with the Mean-Variance-Skewness-Kurtosis Method in Indonesia Stocks ]]>
<![CDATA[Dina Agustina]]>;
<![CDATA[Devni Prima Sari]]>;
<![CDATA[Rara Sandhy Winanda]]>;
<![CDATA[Muhammad Rashif Hilmi]]>;
<![CDATA[Dina Fakhriyana]]>
<![CDATA[ EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 23 No. 02 (2022): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464) ]]>
Publisher : <![CDATA[Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia ]]>
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DOI: 10.24036/eksakta/vol23-iss02/316
<![CDATA[In this paper, we compare the optimal portfolio weight of mean-variance (MV) method with mean-variance-skewness-kurtosis (MVSK) method. MV is a method to get weight on a portfolio. This method can be developed into the method of MVSK with attention to the higher-order moment of return distribution; skewness and kurtosis. In determining the weight of portfolio is also important to consider the skewness and kurtosis of return distribution. This method of considering the aspect of skewness and kurtosis is called the MVSK method with the aim of maximizing the level of return and skewness and minimizing the risks and exceeding of kurtosis. The result indicate that the optimal portfolio return of all methods is MVSK method with minimize variance priority.]]>
<![CDATA[Mathematical Model of Effect of Yellow Virus on Tomato Plants Through Bemisia tabaci Insects Using Verticillium lecanii Fungus ]]>
<![CDATA[Nada Atifah]]>;
<![CDATA[Dewi Murni]]>;
<![CDATA[Rara Sandhy Winanda]]>
<![CDATA[ Rangkiang Mathematics Journal Vol. 1 No. 2 (2022): Rangkiang Mathematics Journal ]]>
Publisher : <![CDATA[Department of Mathematics, Universitas Negeri Padang (UNP) ]]>
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DOI: 10.24036/rmj.v1i2.14
<![CDATA[The Yellow virus is a virus that causes tomato plants to die. The insect vector Bemisia tabaci spreads this virus. The goal of this study is to identify the shape of a mathematical model of the influence of yellow virus on tomato plants via the insect Bemisia tabaci and the fungus Verticilliun lecanii, as well as to interpret the results of the mathematical model analysis. This is referred to as basic research. This study employs a descriptive method in which theories are analysed in relation to the topics to be discussed, and these theories are based on a literature review. Stability analysis is carried out using Routh-Hurwitz criteria. It indicates that the disease-free equilibrium point is asymptotically stable when Λt=μtN and the endemic equilibrium point is asymptotically stable for d1>e1, d2>e2 and a1>(a1)2+(a3)2a0)/(a3a2 ). The model simulation shows that if the efficacy of Verticillium lecanii is high, the population of infected tomato plants, as well as the population of Bemisia tabaci, will go extinct.]]>
<![CDATA[TPACK-Enhanced Geometry and Algebra for Primary School Teacher of KKG Cluster IV in X Koto Singkarak District, Solok Regency ]]>
<![CDATA[Rara Sandhy Winanda]]>
<![CDATA[ Pelita Eksakta Vol 6 No 1 (2023): Pelita Eksakta Vol. 6 No. 1 ]]>
Publisher : <![CDATA[Fakultas MIPA Universitas Negeri Padang ]]>
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DOI: 10.24036/pelitaeksakta/vol6-iss1/199
<![CDATA[In elementary school, a mastery of geometric and algebraic mathematical methods is necessary. Students in the discipline of algebra struggle with fraction addition and multiplication. Similarly, students struggle in geometry to compute the area of a flat plane. Group IV Koto Sani teachers in the Koto Singkarak District of the Solok Regency received this assistance in the form of workshops. From August to October 2022, there will be three meetings both in-person and online. The offered material is comprised of TPACK-based learning resources, such as Cuisenaire rods, flat media, and music boards. Based on the results of the initial and final surveys, it was determined that there was a 7% improvement in material comprehension, a 7% improvement in the ability to create media, and a 5% improvement in the ability to use media]]>
<![CDATA[Penerapan Algoritma Titik Interior dalam Optimasi Keuntungan pada Toko Churro.io ]]>
<![CDATA[Alivia Tasya Kemala]]>;
<![CDATA[Rara Sandhy Winanda]]>
<![CDATA[ Journal of Mathematics UNP Vol 8, No 2 (2023): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v8i2.14468
<![CDATA[Linear Programming is a part of optimization. One of the methods that can be used to solve linear programming problems is the interior point algorithm method. This research is an applied research was aimed to apply the interior point algorithm to solved production optimization problems at Churro.io. The data collection method used in this research was an interview by researcher with Churro.io’s owner. Based on the results of the research using the calculation of the interior point algorithm, a maximum profit of Rp 1.216.400 was obtained by producing 60 units of dark chocolate royal churro, 37 units of white chocolate royal churro, 33 units of matcha royal churro, 21 units of tiramisu royal churro, 21 units of salted caramel royal churro, and 14 units of cheese royal churro. The profit was obtained by Churro.io’s calculation of Rp 890.500, so there is a difference between the calculation of the interior point algorithm and the calculation at the Churro.io of Rp 325.900.]]>
<![CDATA[BIFURCATION ANALYSIS MATHEMATICAL MODEL FOR THE SPREAD OF EXOGENOUS REINFECTION TUBERCULOSIS ]]>
<![CDATA[Rara Sandhy Winanda]]>;
<![CDATA[Defri Ahmad]]>;
<![CDATA[Sovia Helmi Putri]]>;
<![CDATA[Ariana Putri]]>
<![CDATA[ BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications ]]>
Publisher : <![CDATA[PATTIMURA UNIVERSITY ]]>
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DOI: 10.30598/barekengvol17iss1pp0075-0084
<![CDATA[The spread of tuberculosis can occur in two ways, namely exogenous and endogenous. The spread of tuberculosis exogenously or Exogenous Reinfection of tuberculosis can be observed using a mathematical model. Then an analysis of the mathematical model with a bifurcation approach was carried out. Based on the result, it was found that there was a change in stability properties and the type of equilibrium point in the distribution equation system of exogenous reinfection tuberculosis, where the parameter that occurred bifurcation was , with . When value of is smaller than zero, the system of differential equations of exogenous reinfection tuberculosis shows an unstable with a saddle point type, when the value of is equal to zero the system of differential equations cannot be determined its stability, and when system of differential equations shows asymptotic stability, where there is a change in species. The points are nodes, star nodes, and spirals.]]>
<![CDATA[Optimasi Perencanaan Produksi Usaha Keripik Sanjai Rina Menggunakan Pendekatan De Novo Programming ]]>
<![CDATA[Bella Oktavia]]>;
<![CDATA[Rara Sandhy Winanda]]>
<![CDATA[ Journal of Mathematics UNP Vol 8, No 3 (2023): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v8i3.14976
<![CDATA[One important part of industry is production planning. Production planning is a strategy to determine how many products to produce and how many resources are needed to make these products. By using the De Novo Programming approach, this research aims to determine the right production planning in the Business of Keripik Sanjai Rina so that the maximum profit is obtained. The De Novo Programming approach can determine the best combination of output and proposed use of resources based on the available budget. This approach can be solved using the simplex method. The results showed that the optimal number of products and the amount of raw material purchases were obtained so that the profit obtained by the Business of Keripik Sanjai Rina increased by 35%.]]>
