Browsing by Author "Dr. Muhammad Yousaf"

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A Comparative Study of Machine Learning Algorithms For Cancer Detection
(Library Information Services COMSATS University Lahore Campus, 2024-03-14) Rukhseena Ashfaq; FA22-RMT-001; FA22-RMT-001; Dr. Muhammad Yousaf
A Comparative Study of Machine Learning Algorithms For Cancer Detection
Applications of AI Techniques for the Breast Cancer Detection regards
(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Humaira; Fa22-rmt-032; Dr. Muhammad Yousaf; LHR TP 9373
Applications of AI Techniques for the Breast Cancer Detection regards
Constructing Numerical Scheme Using Python in Neural Field Model
(Library Information Services, CUI Lahore, 2023) GHULAM QADIR; CIIT/FA21-RMT-060/LHR; Dr. Muhammad Yousaf
We analyze a two-population neuronal network model of the Wilson-Cowan type to inves- tigate the presence of localized stationary solutions called “bumps”. Specifically, we focus on a scenario where two distinct types of bump solutions exist: a narrow pair and a broad pair.To assess the stability of these bumps, we employ two different approaches: one that generalizes the Amari method and another based on a direct linearization procedure. These approaches yield consistent predictions, except for one significant difference. The narrow pair is generally unstable, while the broad pair remains stable for small and moderate values of the relative inhibition time.Interestingly, at a critical relative inhibition time, the broad pair typically undergoes a Hopf bifurcation, transitioning into stable breathers. Notably, in our numerical example, the broad pulse pair remains stable even when the inhibition time constant is three times longer than the excitation time constant. Consequently, our model findings contradict the assertion that slow excitation mediated by NMDA-receptors or similar mechanisms is nec- essary for the presence of stable bumps.
Different Cases of Singular Domains in Two Population Synaptic Drive Model
(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2018) Wasim Shahid; SP16-RMT-008; Dr. Muhammad Yousaf; LHR TP 5198
In this work we have investigated the dynamics of synaptic drive two-population neural firing rate model for the case of steep firing rate function by applying the theory of switching dynamical systems. The switching dynamic theory simplifies the dynamical system and receive the approximation of the solution for the system with certain modes of parameters. In such type of outlook, the phase space is divided into regular as well as singular domains. These singular domains are characterized into black, white and transparent on the basis of the behavior of trajectories on the sides of singular domain. Moreover, there has been investigation of the existence and uniqueness solutions with corresponding singular and regular stationary points. It has been observed that regular stationary point, which are located within regular domain, are always constant and this characteristic is secured for smooth and sufficiently steep firing rate function. Yousaf.et al investigated the dynamics for the same model. They investigated the dynamics only for some particular cases. We have explored some more cases of singular domains and investigated the dynamics in regular and singular domains. Moreover, general formulae for the stationary points of the system have been calculated and the existence of singular stationary points which belong to the singular domains have been investigated. Furthermore, these singular domains in new dynamical system have also been transformed. Besides, the stability of singular stationary points has been investigated. In the wake of outcomes, the stationary points are attended by implementing the singular perturbation analysis and Thikhonov theorem.
Existence And Stability Of Bumps Of Bums As A …
(Library Information Services COMSATS University Islamabad Lahore Campus, 2021) Anisa Zafar; FA19-RMT-012; LHR TP 7356; Dr. Muhammad Yousaf