Judul: Optimasi Formula dan Proses Ekstrusi Ubi Jalar Ungu dengan Response Surface Methodology
Abstrak: Ubi jalar ungu (Ipomoea batatas var. Ayamurasaki) sebagai salah satu komoditas pertanian yang unggul karena warnanya yang menarik, mudah didapat, dan manfaat kesehatannya. Industri keripik ubi jalar hanya menggunakan ubi jalar dengan ukuran tertentu. Petani pun terkena imbas karena penyerapan hasil panen oleh industri tidak maksimal. Pengolahan ubi jalar ungu menjadi produk olahan menggunakan ekstruder pada skala industri masih belum dapat ditemui. Penelitian ini bertujuan untuk menentukan formula dan parameter proses ekstrusi ubi jalar ungu yang optimum untuk menghasilkan produk dengan karakteristik mutu yang baik. Ubi jalar ungu yang diolah dengan teknik ekstrusi menggunakan ekstruder ulir ganda pemasak (BEX-DS-2256). Optimasi formula dan proses dilakukan menggunakan Response Surface Methodology (RSM) dengan rancangan Combine D-Optimal pada program Design Expert 12.0. Percobaan dilakukan dengan 22 perlakuan yang merupakan kombinasi faktor-faktor konsentrasi ubi jalar ungu (60–70%), tepung tapioka (20–25%), tepung ubi jalar ungu (10–15%), dan suhu ekstrusi (60–70 oC). Perlakuan yang optimum adalah dengan konsentrasi ubi jalar ungu 62.66%, tepung tapioka 22.34%, tepung ubi jalar ungu 15%, dan suhu ekstrusi 62.53 oC. Kombinasi formula dan proses tersebut menghasilkan adonan ubi jalar ungu dengan kadar air 49.34% (bb), kelengketan 711.67 gf, dan derajat gelatinisasi 52.06% dengan nilai desirability 0.76., Purple sweet potato (Ipomoea batatas var. Ayamurasaki) is one of the leading agricultural commodities due to its attractive color, availability, and health benefits. The sweet potato chip industry only uses sweet potatoes of a certain size. Farmers are also affected because the absorption of crops by the industry is not optimal. The development process of turning purple sweet potatoes into processed products using industrial scale extruders is still can’t be found. This study aimed to determine the optimum formula and extrusion process of the purple sweet potato to produce a product with good quality characteristics. Purple sweet potato was processed by extrusion technique using a double screw extruder (BEX-DS-2256). The optimization of formulas and processes was carried out using the Response Surface Methodology (RSM) with the Combine D-Optimal design in the Design Expert 12.0 program. The experiment conducted 22 treatments that were a combination of purple sweet potato concentration (60–70%), tapioca flour (20–25%), purple sweet potato flour (10–15%), and extrusion temperature (60–70 oC). The optimum treatment was with a concentration of 62.66% purple sweet potato, 22.34% tapioca flour, 15% purple sweet potato flour, and an extrusion temperature of 62.53 oC. The combination of these formulas and processes resulted in purple sweet potato dough with a moisture content of 49.34% (bb), stickiness of 711.67 gf, and degree of gelatinization of 52.06% with a desirability value of 0.76.
Keyword: derajat gelatinisasi, ekstruder, kelengketan, optimasi, ubi jalar ungu

Judul: Formulation of High-Fiber Extruded Purple Sweet Potato (Ipomoea batatas L.) and Red Kidney Bean (Phaseolus vulgaris)
Abstrak: Rendahnya asupan serat pangan yang berkaitan erat dengan peningkatan risiko beragam penyakit tidak menular (PTM) masih menjadi masalah kesehatan terkait gizi pada masyarakat luas. Ubi ungu dan kacang merah merupakan pangan tinggi serat yang terjangkau dan mudah diakses di Indonesia. Penelitian ini bertujuan mengembangkan formulasi olahan ubi ungu dan kacang merah berupa ekstrudat tinggi serat. Tahapan penelitian terdiri dari optimasi formula, evaluasi sensori, uji karakteristik fisik yakni analisis warna dan tekstur, analisis proksimat, analisis serat pangan, baik larut dan tidak larut, dan analisis aktivitas air. Optimasi formula dilakukan menggunakan empat formulasi dengan perbandingan penggunaan tepung ubi ungu dan tepung kacang merah yang berbeda-beda yakni F0 (100:0), F1 (80:20), F2 (70:30), dan F3 (60:40). Ekstrudat diekstrusi pada suhu 60°C dan kecepatan ulir, umpan, serta pisau sebesar berturut-turut 45, 45, dan 50 Hz. Formula terpilih yakni formula F2 ditentukan berdasarkan hasil seluruh analisis. Satu takaran saji ekstrudat formula F2 diketahui mengandung mengandung energi, protein, lemak, karbohidrat, dan total serat pangan berturut-turut sebesar 129 kkal, 4,0 g, 0,3 g, 27,7 g, dan 6,0 g, serta memenuhi 6,0% kebutuhan energi serta 19,9% kebutuhan serat orang dewasa. Analisis aktivitas air menunjukkan bahwa formula terpilih memiliki aktivitas air sebesar 0,44%. Formula ekstrudat terpilih berpotensi memenuhi klaim sebagai pangan tinggi serat dan rendah lemak dengan umur simpan yang cukup panjang., The low intake of dietary fiber, which is closely related to the increased risks of various non-communicable diseases (NCDs), is still considered as a major health problem related to nutrition globally. Purple sweet potatoes and red kidney bean are high-fiber foods that are affordable and readily accessible in Indonesia. This research aimed to develop a formulation of high-fiber extrudate made from purple sweet potato and red kidney bean. This research was conducted through formula optimization, sensory evaluation, and analyses of color, texture, proximate, dietary fiber, and water activity. Optimization of the formula was carried out using four formulations with different ratios of purple sweet potato and red kidney bean flours, i.e. F0 (100:0), F1 (80:20), F2 (70:30), and F3 (60:40). The extrudate was extruded using a double-screw extruder at the temperature of 60°C, with the screw, feed and cutter speeds of 45, 45, and 50 Hz, respectively. The selected extrudate formula, formula F2, was determined based on the results of all analyses. A single serving of F2 extrudate was shown to contain energy, protein, fat, carbohydrates and total dietary fiber of 129 kcal, 4.0 g, 0.3 g, 27.7 g, and 6.0 g respectively, and contributes to 6.0% and 19.9% of energy and fiber needs for adults. Water activity analysis showed that the selected formula had a water activity of 0.44%. The results of all analyses showed that this extrudate was well accepted and may potentially be claimed as a high-fiber and low-fat food with long shelf life.
Keyword: analisis proksimat, makanan ekstrudat tinggi serat, kacang merah, optimasi formula, ubi ungu, formula optimisation, high-fiber extruded food, proximate analysis, purple sweet potato, red kidney bean

Judul: Metrik Einstein (Anti-) Self-Dual Berdimensi Empat dengan Metode Cartan
Abstrak: Gravitational field equation can be formulated in differential forms (differential geometry), which describes gravity as a manifestation of the curvature of space-time. Curvature of space-time is characterized by a metric that satisfies the gravitational field equation. With differential forms it can be formulated the (anti-) self-dual Einstein equation, which is a modification of the Cartan structure in (anti-) self-dual basis. Calculation of (anti-) self-dual metric with (anti-) self-dual Einstein equation is simpler than the calculation using Christoffel symbols.
Keyword: