A mathematical model of a novel automated medical device for needle insertions

Buzurović, Ivan; Šalinić, Slaviša

doi:10.1109/bibe.2015.7367697

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2018

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“…This assumption makes it possible to define (15) as the sum of subsystem transfer functions It is clearly understood that the order of each summand (17) defines its order…”

Section:   mentioning

confidence: 99%

Parallel mathematical models of dynamic objects

Voliansky

Pranolo

2018

Int. J. Adv. Intell. Informatics

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The paper deals with the developing of the methodological backgrounds for the modeling and simulation of complex dynamical objects. Such backgrounds allow us to perform coordinate transformation and formulate the algorithm of its usage for transforming the serial mathematical model into parallel ones. This algorithm is based on partial fraction decomposition of the transfer function of a dynamic object. Usage of proposed algorithms is one of the ways to decrease calculation time and improve PC usage while a simulation is being performed. We prove our approach by considering the example of modeling and simulating of fourth order dynamical object with various eigenvalues. This example shows that developed parallel model is stable, well-convergent, and high-accuracy model. There is no defined any calculation errors between well-known serial model and proposed parallel one. Nevertheless, the proposed approach’s usage allows us to reduce calculation time by more than 20% by using several CPU’s cores while calculations are being performed.

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“…This assumption makes it possible to define (15) as the sum of subsystem transfer functions It is clearly understood that the order of each summand (17) defines its order…”

Section:   mentioning

confidence: 99%

Parallel mathematical models of dynamic objects

Voliansky

Pranolo

2018

Int. J. Adv. Intell. Informatics

View full text Add to dashboard Cite

show abstract

A mathematical model of a novel automated medical device for needle insertions

Cited by 1 publication

References 18 publications

Parallel mathematical models of dynamic objects

Parallel mathematical models of dynamic objects

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