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Journal of Mathematical and Fundamental Sciences
Published by Institut Teknologi Bandung
ISSN : 23375760     EISSN : 23385510     DOI : https://doi.org/10.5614/j.math.fund.sci.
Core Subject : Science, Education,
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics
Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health, Medical, Pharmacy), Mathematics, Physics, and Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 689 Documents
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Anti-inflammatory Activities and Gastric Ulcer-inducing Properties of Tetraacetylquercetin and Tetrapivaloylquercetin Rina Herowati; Rahmana Emran Kartasasmita; I Ketut Adnyana; Tutus Gusdinar Kartawinata
Journal of Mathematical and Fundamental Sciences Vol. 48 No. 3 (2016)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2016.48.3.6

Abstract

Quercetin (3,3'4',5,7-pentahydroxyflavone) has been reported to show anti-inflammatory activity. However, its low oral bioavailability limits the application of quercetin in therapy. Ester derivatives of quercetin have been reported to have higher bioavailability than quercetin. This research aimed to study the anti-inflammatory activities and gastric ulcer-inducing properties of tetraacetylquercetinas well as tetrapivaloylquercetin. Synthesis of tetra-acyl derivatives of quercetin was conducted using acetic anhydride or pivaloyl chloride in the presence of pyridine and the structure was confirmed by 1H-NMR and 13C-NMR spectroscopy as well as elemental analysis. At a dose of 20 mg/kg bw, oral administration of quercetin only showed 20% inhibition activity on carragenan induced rat paw edema, while tetraacetyl and tetrapivaloyl derivatives at equimolar dose showed 11-33% and 5-15% inhibition activity respectively. Contrary to the gastric ulcer healing-promoting action of quercetin, tetraacetylquercetin caused mild gastric ulcers. However, no gastric ulcer was observed after administration of tetrapivaloylquercetin. It was concluded that acylation enhances the anti-inflammatory activity of quercetin but causes mild gastric ulcers in the case of tetraacetylation.
Some Basic Properties of Completely Prime Ideals in Near Rings Pairote Yiarayong
Journal of Mathematical and Fundamental Sciences Vol. 47 No. 3 (2015)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2015.47.3.1

Abstract

In this investigation we studied completely prime, weakly completely prime, quasi completely prime and weakly quasi completely prime ideals in near-rings. Some characterizations of completely prime and weakly completely prime ideals were obtained. Moreover, we investigated relationships between completely prime and weakly completely prime ideals in near-rings. Finally, we obtained necessary and sufficient conditions for a weakly completely prime ideal to be a completely prime ideal.
Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential Equations Neville Fowkes
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.3.3

Abstract

Problems that arise out of an industrial context normally have clear cut objectives, and the results are usually important in context but of limited general interest. Sometimes, however, the investigations lead to results that are both unexpected and of much broader interest. Two such investigations are described here. In the first problem an investigation of the propagation of light rays across the ocean leads to new results concerning optical distortion. In the second problem a surface tension investigation leads to an entirely new technique for solving partial differential equations.
Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation Cemil Tunç; Emel Biçer
Journal of Mathematical and Fundamental Sciences Vol. 47 No. 2 (2015)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2015.47.2.3

Abstract

In this paper, by using the fixed point method, we prove two new results on the Hyers-Ulam-Rassias and the Hyers-Ulam stability for the first order delay differential equation of the formy"²(t) = F(t, y(t), y(t −τ )).Our results improve some related results in the literature. 
Induction of Somatic Embryos from Leaf and Stem Nodal Section Explants of Potato (Solanum tuberosum L.) I. Iriawati; Fitri Aprilianty
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.3.8

Abstract

Somatic embryogenesis can be used as an alternative method to obtain high-quality potato seedlings. This research was conducted in order to evaluate: the potential of different types of explants to produce somatic mbryos;combinations of 2,4-D and BAP for somatic embryo induction; and the ability of BAP to act as growth regulator for the somatic embryo maturation process.Young leaf and stem nodal sections were cultured in MS media supplemented with 2,4-D and BAP. The developing calli were then transferred into media containing several concentrations of 2,4-D and BAP. The embryogenic calli were then transferred into media containing 1-5 μM BAP. The results show that MS media containing 2,5 μM 2,4-D + 5 μM BAP and μM 2,4-D + 0.5 μM BAP were the most suitable for inducing somatic embryos from leaf explants and stem nodal section explants, respectively. The somatic embryos were well-developed in the MS media supplemented with 5 μM BAP. The stem nodal section explants were able to produce a higher percentage of globular, heart and torpedo stage embryos compared with the leaf explants. Based on this research, stem nodal section explants have a high potential for producing somatic embryos induced in medium containing 1 μM 2,4-D + 0.5 μM BAP.
Marmin of Aegle Marmelos Correa Antagonizes AChM3 Receptors: In Silico and In Vitro Studies on Isolated-Guinea Pig Illeum Smooth Muscle Agung Endro Nugroho; Puguh Noviarsito; Sugeng Riyanto
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.3.6

Abstract

Marmin is a coumarin derivative compounds isolated from the bark and roots of Aegle Marmelos Correa. Previously, ethanolic extract of leaves of Aegle Marmelos Correa on isolated ileum showed antagonism effect on the contraction induced by histamine. Besides H1 receptor, there is also muscarinic acetylcholine (AChM)receptors involved in the mechanism of ileum contraction. Marmin is predicted to antagonize on AChM3 receptors.This study aimed to determine the effect of marmin on smooth muscle contraction of isolated guinea pig ileum induced by metacholine, an agonist of AChM3 receptor. The method in the study were in vitro (isolated organ) and in silico (docking PLANTS). In the in vitro study, marmin exhibited a competitive antagonists effect at the concentration of 100 μM (pA2 value of 1,728) on the AChM3 receptors. Reversibility assay on AChM3 receptors showed that by washing the ileum with Tyrode buffer every 6 minutes for 30 minutes, the bond of marmin to the receptor was still not completely detached. In the in silico study, marmin was observed to be bound to AchM3 receptors (docking score: -102.086). Marmin bond was weaker than that of native ligand of AChM3 receptor (tiotropium, docking score: -115.107), however, stronger than that of AChM3 receptor agonist and antagonist. Based on the results, we conclude that marmin have a competitive antagonist activity on AChM3 receptor.
Auslander Reiten Quiver of Nakayama Algebra type Dynkin Graph An Faisal Anwar; I. Irawati; Intan Muchtadi-Alamsyah
Journal of Mathematical and Fundamental Sciences Vol. 45 No. 1 (2013)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2013.45.1.1

Abstract

In this paper we will determine Auslander Reiten quiver of Nakayama algebra with quiver type Dynkin graph An for all natural number n ≥ 2. The AR-quiver is a visualization of module category of finite dimensional algebras. From the AR-quiver of an algebra A we may know all the isomorphism classes of indecomposable modules in mod A and the homomorphism between them. Once we get the general shape of the AR-quiver of this algebra, we will use it to compute a tilting module of this algebra.
Seismic Velocity Structures beneath the Guntur Volcano Complex, West Java, Derived from Simultaneous Tomographic Inversion and Hypocenter Relocation Andri Dian Nugraha; Sri Widiyantoro; Awan Gunawan; Gede Suantika
Journal of Mathematical and Fundamental Sciences Vol. 45 No. 1 (2013)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2013.45.1.2

Abstract

We conducted travel time tomographic inversion to image seismic velocity structures (Vp, Vs, and Vp/Vs ratio) with simultaneous hypocenter adjustment beneath the Guntur volcano complex that is located in the Garut district, West Java province, Indonesia. The Guntur volcano is one of the active volcanoes in Indonesia, although large eruptions have not occurred for about 160 years. We used volcanic and tectonic earthquakes catalog data from seismic stations deployed by Centre for Volcanology and Geological Hazard Mitigation (CVGHM). For the tomographic inversion procedure, we set grid nodes with a horizontal spacing of 2 x 2 km2 and an average vertical spacing of 2 km. Our results show low Vp, low Vs, and high Vp/Vs ratio regions beneath the Guntur crater and the Gandapura caldera at depths of 6-8 km and 7-9 km, respectively. These features can be associated with amelt-filled pore rock structure. However, a low Vp/Vs ratio and low velocities are exhibited beneath the Kamojang caldera at depths of 2-6 km that may be associated with rock with H2O-filled pores with a high aspect ratio.
Determining Velocity and Q-factor Structure using Crosshole Tomography F. Fatkhan; Andri Dian Nugraha; Ahmad Syahputra
Journal of Mathematical and Fundamental Sciences Vol. 45 No. 1 (2013)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2013.45.1.3

Abstract

In this study, we have conducted a crosshole tomography survey to obtain seismic data from two boreholes on the ITB campus. The first borehole was 39 meters deep while the second was 19 meters deep. The aim of the study was to determine the subsurface velocity and Q-factor for the region between the two boreholes for geotechnical purposes. Sources of seismic waves were produced by an impulse generator and sparker and were recorded by 12 channels of borehole hydrophones. In the tomography inversion, the pseudo-bending ray tracing method was employed to calculate travel times. The initial velocity model was a 1-D model with 1x1 m2 block dimensions. The non-linear inversion problem was solved by delay-time tomography with the LSQR method. Also, a checkerboard resolution test (CRT) was conducted to evaluate the resolution of the tomography inversion. Using the velocity structure results, a LSQR Q-tomography inversion was carried out using spectral curve fitting to obtain the attenuation structure (t* values). The resulting tomogram shows that there are 3 layers, with an unconsolidated layer (down to 8 meters), a consolidated layer (from 8 meters deep to 20 meters), and bedrock (more than 20 meters). From the results, the ground water level is estimated at a depth of 14 meters.
Behavior for Time Invariant Finite Dimensional Discrete Linear Systems Sisilia Sylviani; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 45 No. 1 (2013)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2013.45.1.4

Abstract

The behavior of a dynamical system, in Willems's point of view, is the set of all trajectories of the system. Fuhrmann defines a behavior as a linear, shift invariant, and complete subspace of z-1Fm[[z-1]], the vector space consisting of power series in z-1 with coefficients in signal space W=Fm. In this paper we show that the behavior of a finite dimensional, time invariant discrete linear system in Willems's setting is also a behavior according to Fuhrmann's.

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