Nonlinear System Stability and Behavioral Analysis for Effective Implementation of Artificial Lower Limb

Das, Susmita; Nandi, Dalia; Neogi, Biswarup; Sarkar, Biswajit

doi:10.3390/sym12101727

Cited by 3 publications

(2 citation statements)

References 38 publications

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“…This method can play an important role in the implementation in the shape of the product and it will be useful in hospitals, especially in the use of product in remote areas in the near future. These hardware models required computational mathematical techniques such as these studies [42][43][44] implemented for different medical images based on machine learning models as well as radio techniques for industrial use, as these studies are based on computational models based on mathematical techniques and machine learning. Our proposed method algorithm can be implemented in hardware based on more advanced machine learning techniques along with the necessary connections to equipment to automatically process patient data to the radiologist for mammography image analysis.…”

Section: Discussion and Future Directionsmentioning

confidence: 99%

Computerized Analysis of Mammogram Images for Early Detection of Breast Cancer

et al. 2022

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Breast cancer is widespread worldwide and can be cured if diagnosed early. Using digital mammogram images and image processing with artificial intelligence can play an essential role in breast cancer diagnosis. As many computerized algorithms for breast cancer diagnosis have significant limitations, such as noise handling and varying or low contrast in the images, it can be difficult to segment the abnormal region. These challenges could be overcome by proposing a new pre-processing model, exploring its impact on the post-processing module, and testing it on an extensive database. In this research work, the three-step method is proposed and validated on large databases of mammography images. The first step corresponded to the database classification, followed by the second step, which removed the pectoral muscle from the mammogram image. The third stage utilized new image-enhancement techniques and a new segmentation module to detect abnormal regions in a well-enhanced image to diagnose breast cancer. The pre-and post-processing modules are based on novel image processing techniques. The proposed method was tested using data collected from different hospitals in the Qassim Health Cluster, Qassim Province, Saudi Arabia. This database contained the five categories in the Breast Imaging and Reporting and Data System and consisted of 2892 images; the proposed method is analyzed using the publicly available Mammographic Image Analysis Society database, which contained 322 images. The proposed method gives good contrast enhancement with peak-signal to noise ratio improvement of 3 dB. The proposed method provides an accuracy of approximately 92% on 2892 images of Qassim Health Cluster, Qassim Province, Saudi Arabia. The proposed method gives approximately 97% on the Mammographic Image Analysis Society database. The novelty of the proposed work is that it could work on all Breast Imaging and Reporting and Data System categories. The performance of the proposed method demonstrated its ability to improve the diagnostic performance of the computerized breast cancer detection method.

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Section: Discussion and Future Directionsmentioning

confidence: 99%

Computerized Analysis of Mammogram Images for Early Detection of Breast Cancer

et al. 2022

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“…The investigation of the flexible rotor with the air bearings and its dynamic behavior is presented in [20]. The forward kinematics and dynamics of the mechanical systems of the multi-degree of freedom connected in series was investigated in [21].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Position and Velocity Stability of the Nanometer Resolution Linear Motor Stage with Air Bearings by Shaping of Controller Transfer Function

et al. 2020

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Modern industrial enterprises require high accuracy and precision feedback systems to fulfil cutting edge requirements of technological processes. As demand for a highly accurate system grows, a thin gap between throughput and quality exists. The conjunction of ultrafast lasers and modern control strategies of mechatronic systems can be taken into account as an effective solution to reach both throughput and tolerances. In the present paper, the dynamic errors of the moving platform of the one degree of freedom stage, based on linear motor and air bearings, have been analyzed. A precision positioning system is investigated as a symmetric system which is based on symmetric linear motor. The goal of the present article is to investigate the controllers of the different architecture and to find the best controller that can ensure a stable and small dynamic error of the displacement of the stage platform at four different constant velocities of the moving platform. The relations between the controller order, velocity and the displacement dynamic error have been investigated. It is determined that higher-order controllers can reduce the dynamic error significantly at low velocities of the moving platforms: 1 and 5 mm/s. On the contrary, the low order controllers of 4th-degree polynomials of the transfer function can also provide small dynamic errors of the displacement of the platform.

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Dynamics of Cardiovascular Muscle Using a Non-Linear Symmetric Oscillator

Bhattacharjee

Banerjee²,

Rakshit³

et al. 2021

Symmetry

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In this paper, a complete non-linear symmetric oscillator model using the Hamiltonian approach has been developed and used to describe the cardiovascular conduction process’s dynamics, as the signal generated from the cardiovascular muscle is non-deterministic and random. Electrocardiogram (ECG) signal is a significant factor in the cardiovascular system as most of the medical diagnoses can be well understood by observing the ECG signal’s amplitude. A non-linear cardiovascular muscle model has been proposed in this study, where a modified vanderPol symmetric oscillator-based equation is used. Gone are the days whena non-linear system had been designed using the describing function technique. It is better to design a non-linear model using the Hamiltonian dynamical equation for its high accuracy and flexibility. Varying a non-linear spring constant using this type of approach is more comfortable than the traditional describing function technique. Not only that but different initial conditions can also be taken for experimental purposes. It never affects the overall modeling. The Hamiltonian approach provides the energy of an asymmetric oscillatory system of that cardiovascular conduction system. A non-linear symmetric oscillator was initially depicted by the non-linear mass-spring (two degrees of freedom) model. The motion of an uncertain non-linear cardiovascular system has been solved considering second-order approximation, which also demonstrates the possibility of introducing spatial dimensions. Finally, the model’s natural frequency expression has also been simulated and is composed of the previously published result.

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Nonlinear System Stability and Behavioral Analysis for Effective Implementation of Artificial Lower Limb

Cited by 3 publications

References 38 publications

Computerized Analysis of Mammogram Images for Early Detection of Breast Cancer

Computerized Analysis of Mammogram Images for Early Detection of Breast Cancer

Investigation of Position and Velocity Stability of the Nanometer Resolution Linear Motor Stage with Air Bearings by Shaping of Controller Transfer Function

Dynamics of Cardiovascular Muscle Using a Non-Linear Symmetric Oscillator

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