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Abstrak :
Untuk memahami perilaku asimtotik model matematika persamaan logistik Pn+1 = k Pn (l-Pn), k = konstanta, pada tulisan ini diselidiki perilaku asimtotik proses iterasi lim Fμ (X) dengan mengambil fungsi iterasi Fμ (x) = μ x (l-x), untuk μ >1

Abstrak :
Penelitian ini dilakukan untuk memvalidasi Coefficient of Variation sebagai alat ukur yang memenuhi kriteria uji Goodness of Fit dengan menggunakan prosedur uji analisis sensitivitas yaitu Morris dan Fourier Amplitude Sensitivity Test (FAST) sebagai pembanding. Penelitian ini dilakukan dengan bantuan perangkat lunak MATLAB® vR2020b dan GraphPad Prim 8 menggunakan data sekunder berupa data farmakokinetik 63 pasien yang melakukan terapi radiomolekuler ginjal dengan menggunakan radiofarmaka 177Lu-PSMA-617. Pengujian diawali dengan seleksi model terbaik dari hasil fitting 12 fungsi SOE menggunakan pemodelan NLME yang memenuhi kriteria Goodness of Fit (visualisasi grafis dan %CV) dan seleksi model AICc. Selanjutnya melakukan analisis sensitivitas parameter dari masing-masing fungsi fitting menggunakan metode Morris dan FAST sebagai pembanding. Diperoleh final model dari hasil analisis sensitivitas sama dengan final model yang memenuhi kriteria seleksi model Goodness of Fit dan AICc yaitu fungsi f6a. Dari hasil penelitian ini, diperoleh korelasi %CV dengan indeks sensitivitas uji Morris dan FAST penting dalam seleksi model dilihat dari koefisien gradien fungsi fitting yang memiliki korelasi positif yaitu pada fungsi f5a, f6b dan f6d. Pada penelitian ini, fungsi fitting f6d terpilih sebagai threshold karena memiliki hubungan positif secara statistik menggunakan regresi linier dan tidak memenuhi batas acceptable %CV<50%. Disimpulkan pada penelitian ini bahwa %CV masih menjadi parameter estimasi penting kriteria Goodness of Fit dalam seleksi model berdasarkan hasil analisis dari uji sensitivitas. ......This study was conducted to validate the Coefficient of Variation as a measuring instrument that meets the Goodness of Fit test criteria by using sensitivity analysis test procedures, namely Morris and Fourier Amplitude Sensitivity Test (FAST) as comparisons. This study was conducted with the help of MATLAB® vR2020b and GraphPad Prim 8 software using secondary data in the form of pharmacokinetic data of 63 patients who underwent renal radiomolecular therapy using radiopharmaceutical 177Lu-PSMA-617. The test begins with the selection of the best model from the results of fitting 12 SOE functions using NLME modeling that meets the Goodness of Fit criteria (graphic visualization and %CV) and AICc model selection. Next, perform parameter sensitivity analysis of each fitting function using the Morris and FAST methods as a comparison. The final model obtained from the results of sensitivity analysis is the same as the final model that meets the selection criteria of the Goodness of Fit and AICc models, namely the f6a function. From the results of this study, the correlation of %CV with the sensitivity index of the Morris test and FAST is important in model selection seen from the gradient coefficient of the fitting function which has a positive correlation, namely f5a, f6b and f6d. In this study, the fitting function f6d was chosen as the threshold because it has a statistically positive relationship using linear regression and does not meet the acceptable limit of %CV<50%. It was concluded in this study that %CV is still an important estimation parameter of Goodness of Fit criteria in model selection based on the results of analysis from sensitivity tests.

Abstrak :
This research monograph deals with a modeling theory of the system of Navier-stokes-fourier equations for a newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of fluid flows modeling on the basis of a typical Navier-Stokes-Fourier initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff problems from, aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.

Abstrak :
This collection of original papers related to the Israeli GAFA seminar (on Geometric aspects of functional analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of asymptotic geometric analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convex bodies, inequalities involving volumes of such bodies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensional spaces and characterization of classical constructions in Geometry and Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers.