Journal of Mathematical and Fundamental Sciences
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.
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Modified Convective Stratiform Technique (CSTm) Performance on Rainfall Estimation in Indonesia
E. Endarwin;
Safwan Hadi;
Bayong Tjasyono HK;
Dodo Gunawan;
S. Siswanto
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB
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DOI: 10.5614/j.math.fund.sci.2014.46.3.4
This study has analyzed a rainfall estimation using a modified convective stratiform technique (CSTm). Unlike the original convective stratiform technique (CST), which only utilizes infrared (IR) data, CSTm applies not only IR data but also passive microwave (PMW) data. Two major modifications contained in CSTm are: (1) the application of a variability index (VI) method that uses PMW data to perform convective and stratiform separation,and (2) the ability to determine the average extensive coverage of the new areas of each pixel point as a result of the utilization of the PMW data. In this study, rainfall estimation was conducted for 23 points spread over four major islands in Indonesia. The estimation was performed based only on IR and PMW data obtained from coincident observations. For verification, the estimation results were compared with real observations. The main verification action conducted in this study used multi-category contingency tables for four categories and this action was supported by the root mean square error (RMSE)method.The verification results of the hourly estimation conducted for 4 days in early November 2011 showed that CSTm can effectively improve the performance quality of CST.
Dynamical Model for Transmission of West Nile Virus in Chicken-Mosquito Interaction
Jafaruddin Hamid;
Juni Wijayanti Puspita;
Nuning Nuraini;
Edy Soewono
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB
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DOI: 10.5614/j.math.fund.sci.2014.46.3.7
The West Nile virus (WNV) is transmitted through the bites of infected mosquitoes. The spread of WNV in chicken populations is quite unique. Although chickens can contract the virus through a mosquito bite, they immediately build immunity to the virus and do not show physical symptoms of illness and hence chickens are only temporary carriers of the virus. Recently, experimental results have shown that mosquitoes do not change fecundity behavior, yet results indicate that resistance to infection is associated with afitness cost in terms of mosquito survival. We constructed a host-vector type transmission model for WNV in mosquito-chicken populations. The basicreproductive ratio, Ro , was obtained. From sensitivity analysis of Ro it was shown that under certain conditions this ratio decrease "“ with an increase of the lifetime of mosquito infection.
Estimation of S-wave Velocity Structures by Using Microtremor Array Measurements for Subsurface Modeling in Jakarta
Mohamad Ridwan;
A. Afnimar;
Sri Widiyantoro;
Masyhur Irsyam;
Hiroaki Yamanaka
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB
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DOI: 10.5614/j.math.fund.sci.2014.46.3.9
Jakarta is located on a thick sedimentary layer that potentially has a very high seismic wave amplification. However, the available information concerning the subsurface model and bedrock depth is insufficient for a seismic hazard analysis. In this study, a microtremor array method was applied to estimate the geometry and S-wave velocity of the sedimentary layer. The spatial autocorrelation (SPAC) method was applied to estimate the dispersion curve, while the S-wave velocity was estimated using a genetic algorithm approach. The analysis of the 1D and 2D S-wave velocity profiles shows that along a north-south line, the sedimentary layer is thicker towards the north. It has a positive correlation with a geological cross section derived from a borehole down to a depth of about 300 m. The SPT data from the BMKG site were used to verify the 1D S-wave velocity profile. They show a good agreement. The microtremor analysis reached the engineering bedrock in a range from 359 to 608 m as depicted by a cross section in the north-south direction. The site class was also estimated at each site, based on the average S-wave velocity until 30 m depth. The sites UI to ISTN belong to class D (medium soil), while BMKG and ANCL belong to class E (soft soil).
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
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DOI: 10.5614/j.math.fund.sci.2014.46.3.3
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.
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
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DOI: 10.5614/j.math.fund.sci.2014.46.3.8
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
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DOI: 10.5614/j.math.fund.sci.2014.46.3.6
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.
Bound State Solution of Dirac Equation for Generalized Pöschl-Teller plus Trigomometric Pöschl-Teller Non- Central Potential Using SUSY Quantum Mechanics
S. Suparmi;
C. Cari
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB
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DOI: 10.5614/j.math.fund.sci.2014.46.3.1
The bound state solution of the Dirac equation for generalized Pöschl-Teller and trigonometric Pöschl-Teller non-central potentials was obtained usingSUSY quantum mechanics and the idea of shape invariance potential. Theapproximate relativistic energy spectrum was expressed in the closed form. Theradial and polar wave functions were obtained using raising and lowering ofradial and polar operators. The orbital quantum numbers were found from thepolar Dirac equation, which was solved using SUSY quantum mechanics and theidea of shape invariance.
Antibacterial Curcuma xanthorrhiza Extract and Fractions
Hartiwi Diastuti;
Yana M. Syah;
Lia D. Juliawaty;
Marlia Singgih
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB
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DOI: 10.5614/j.math.fund.sci.2014.46.3.2
An acetone extract of Curcuma xanthorrhiza rhizomes and the n-hexane and chloroform fractions obtained from it were tested on eight pathogenic bacteria. The results showed that the acetone extract and the nhexane fraction exhibited significant activities against Bacillus subtilis, Pseudomonas aeruginosa, and Staphylococcus aureus, and weak activities against Shigella dysenteriae and Vibrio cholerae. They were inactive against Escherichia coli, Enterobacter aerogenes and Salmonella thypi, while the chloroform fraction was devoid of activities. NMR analysis disclosed the presence of α-curcumene, xanthorrhizol and an unknown monoterpene in the nhexane fraction. In the chloroform fraction, curcumin was found to be the main compound, together with xanthorrhizol as a minor compound. These results suggest that the antibacterial potency of acetone extract of C. xanthorrhiza is contained in the n-hexane fraction, in which the active constituents are terpenoid compounds. This is the first report of the use of NMR analysis for compound identification contained in an extract or fractions of C. xanthorrhiza.
Litsea cubeba Essential Oil Yield Harvested from Different Habitat Types on Mt. Papandayan, West Java, Indonesia
Ichsan Suwandhi;
Cecep Kusmana;
Ani Suryani;
Tatang Tiryana
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB
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DOI: 10.5614/j.math.fund.sci.2014.46.3.5
The objective of this research was to determine the yield and chemical composition of Litsea cubeba essential oil harvested from different habitat types on Mount Papandayan, West Java, Indonesia. The methods used were determination of sample plots at each habitat, followed by laboratory testing. Leaf samples were taken from each plot, the oil was extracted in the laboratory using steam distillation, which was subsequently analyzed by GC-MS. The results showed that the yield of essential oil was high (2.76-9.33%). The three dominant chemical compounds found were eucalyptol (16.97-55.78%), α-terpinenyl acetate (7.27-20.44%), and sabinene (14.45-68.05%). The results confirmed the expectation that Litsea cubeba essential oils extracted from Litsea cubeba trees growing in various habitats on Mount Papandayan would show a variety in yield and chemical composition.
Cover Vol. 46, No. 3 (2014)
Journal of Mathematical and Fundamental Sciences
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 3 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB
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