Interpolation Methods Applied on Biomolecules and Condensed Matter Brownian Motion

Author(s):  
Sanja Aleksic ◽  
Bojana Markovic ◽  
Vojislav V. Mitic ◽  
Dusan Milosevic ◽  
Mimica Milosevic ◽  
...  

Biophysical and condensed matter systems connection is of great importance nowadays due to the need for a new approach in microelectronic biodevices, biocomputers or biochips advanced development. Considering that the living and nonliving systems’ submicroparticles are identical, we can establish the biunivocally correspondent relation between these two particle systems, as a biomimetic correlation based on Brownian motion fractal nature similarities, as the integrative property. In our research, we used the experimental results of bacterial motion under the influence of energetic impulses, like music, and also some biomolecule motion data. Our goal is to define the relation between biophysical and physical particle systems, by introducing mathematical analytical forms and applying Brownian motion fractal nature characterization and fractal interpolation. This work is an advanced research in the field of new solutions for high-level microelectronic integrations, which include submicrobiosystems like part of even organic microelectronic considerations, together with some physical systems of particles in solid-state solutions as a nonorganic part. Our research is based on Brownian motion minimal joint properties within the integrated biophysical systems in the wholeness of nature.

Author(s):  
Branislav Randjelovic ◽  
Bojana Markovic ◽  
Vojislav V. Mitic ◽  
Sanja Aleksic ◽  
Dusan Milosevic ◽  
...  

Advanced research frontiers are extended from biophysics relations on the Earth upto the discovering any type of alive matter within the whole space. Microorganisms’ motion within the molecular biology processes integrates variety of microorgnisms functions. In continuation of our Brownian motion phenomena research, we consistently build molecular-microorganisms structures hierarchy. We recognize everywhere biomimetic similarities between the particles in alive and nonalive matter. The research data are based on real experiments, without external energy impulses. So, we develop the analysis, inspired by fractal nature Brownian motion, as recognized joint parameter between particles in alive and nonalive biophysical systems. This is also in line with advance trends in hybrid submicroelectronic integrations. The important innovation in this paper is that we introduced approximation of trajectory and error calculations, using discrete mean square approximation, what cumulatively provide much more precise biophysical systems parameters. By this paper, we continue to generate new knowledge in direction to get complex relations between the particles clusters in biophysical systems condensed matter.


2021 ◽  
Vol 183 (3) ◽  
Author(s):  
Mario Ayala ◽  
Gioia Carinci ◽  
Frank Redig

AbstractWe study the symmetric inclusion process (SIP) in the condensation regime. We obtain an explicit scaling for the variance of the density field in this regime, when initially started from a homogeneous product measure. This provides relevant new information on the coarsening dynamics of condensing interacting particle systems on the infinite lattice. We obtain our result by proving convergence to sticky Brownian motion for the difference of positions of two SIP particles in the sense of Mosco convergence of Dirichlet forms. Our approach implies the convergence of the probabilities of two SIP particles to be together at time t. This, combined with self-duality, allows us to obtain the explicit scaling for the variance of the fluctuation field.


Sensors ◽  
2021 ◽  
Vol 21 (8) ◽  
pp. 2757
Author(s):  
W. Rudolf Seitz ◽  
Casey J. Grenier ◽  
John R. Csoros ◽  
Rongfang Yang ◽  
Tianyu Ren

This perspective presents an overview of approaches to the preparation of molecular recognition agents for chemical sensing. These approaches include chemical synthesis, using catalysts from biological systems, partitioning, aptamers, antibodies and molecularly imprinted polymers. The latter three approaches are general in that they can be applied with a large number of analytes, both proteins and smaller molecules like drugs and hormones. Aptamers and antibodies bind analytes rapidly while molecularly imprinted polymers bind much more slowly. Most molecularly imprinted polymers, formed by polymerizing in the presence of a template, contain a high level of covalent crosslinker that causes the polymer to form a separate phase. This results in a material that is rigid with low affinity for analyte and slow binding kinetics. Our approach to templating is to use predominantly or exclusively noncovalent crosslinks. This results in soluble templated polymers that bind analyte rapidly with high affinity. The biggest challenge of this approach is that the chains are tangled when the templated polymer is dissolved in water, blocking access to binding sites.


2015 ◽  
Vol 12 (03) ◽  
pp. 1550036
Author(s):  
Aurel Bejancu ◽  
Constantin Călin

Using the new approach on higher-dimensional Kaluza–Klein theories developed by the first author, we obtain the 4D Einstein equations on a (4 + n)D relativistic gauge Kaluza–Klein space. Adapted frame and coframe fields, adapted tensor fields, and the Riemannian adapted connection, have a fundamental role in the study. The high level of generality of the study, enables us to recover several results from earlier papers on this matter.


2021 ◽  
Vol 20 (01) ◽  
pp. 2150013
Author(s):  
Mohammed Abu-Arqoub ◽  
Wael Hadi ◽  
Abdelraouf Ishtaiwi

Associative Classification (AC) classifiers are of substantial interest due to their ability to be utilised for mining vast sets of rules. However, researchers over the decades have shown that a large number of these mined rules are trivial, irrelevant, redundant, and sometimes harmful, as they can cause decision-making bias. Accordingly, in our paper, we address these challenges and propose a new novel AC approach based on the RIPPER algorithm, which we refer to as ACRIPPER. Our new approach combines the strength of the RIPPER algorithm with the classical AC method, in order to achieve: (1) a reduction in the number of rules being mined, especially those rules that are largely insignificant; (2) a high level of integration among the confidence and support of the rules on one hand and the class imbalance level in the prediction phase on the other hand. Our experimental results, using 20 different well-known datasets, reveal that the proposed ACRIPPER significantly outperforms the well-known rule-based algorithms RIPPER and J48. Moreover, ACRIPPER significantly outperforms the current AC-based algorithms CBA, CMAR, ECBA, FACA, and ACPRISM. Finally, ACRIPPER is found to achieve the best average and ranking on the accuracy measure.


2013 ◽  
Vol 14 (1) ◽  
pp. 163 ◽  
Author(s):  
Said Hamid Hasan

There has been so many findings and thoughts indicating that teaching history is dominated by what teachers tell of what happened in the past as it is written in the textbooks or reference books. Students listen, read, and memorize the narration and the more details the student could memorize the higher mark she/he will get. The plan for teaching history, syllabus or lesson plan, shows a high level of consistency amongst the learning objectives, teaching processes, and assessment of student learning outcomes. Memorize of historical facts and the reproduction of historical narratives as indication of student’s understanding of historical events, the transmission of information from teacher to student to realize the objectives, and the use of pencil and paper test to assess student level of achievement are the common practices in school from primary to secondary education. It would be no surprise if teaching history at the higher level of education would follow the same path. Public still consider a good scholar or historian in this case, is measured by the amount of knowledge she/he can memorize and she/he should be able to answer some many questions of the facts of historical events. In fact, there is no question of how many a student has in her/his memory apart from what is questioned.


Author(s):  
E. Abele ◽  
D. Schäfer

Numerous investigations work on torsional chatter vibrations in drilling. Particularly in terms of productivity, torsional chatter is detrimental because of a reduction of tool life and an undesirably high level of noise emissions due to the increased process dynamics. To achieve a deeper understanding of the process dynamics, a new numerical simulation model was developed to predict torsional chatter for extra-long twist drills. It is used to determine the influence of numerous factors such as cutting parameters, drill torsional stiffness, rotary moment of inertia and torsional-axial coupling. In this paper, the general structure of the model and the tool model is presented.


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