Bifurcation, multistability in the dynamics of tumor growth and electronic simulations by the use of Pspice

Kemwoue, Florent Feudjio; Dongo, Jean Marie; Mballa, Rose Ngono; Gninzanlong, Carlos Lawrence; Kemayou, Marcel Wouapi; Mokhtari, Bouchra; Biya-Motto, Frederick; Atangana, Jacques

doi:10.1016/j.chaos.2020.109689

Cited by 23 publications

(6 citation statements)

References 33 publications

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“…It embraces a broad spectrum of circuit configurations, spanning analog and digital domains, thereby facilitating comprehensive scrutiny prior to any physical assembly. Users wield the flexibility to input component specifications, forge circuit connections, and apply voltage sources, thus enabling a profound analysis of circuit responses under diverse operational conditions [26]. PSPICE's capabilities extend to the simulation of transient reactions, the execution of steady-state AC assessments, and the exploration of diverse circuit attributes, thereby providing invaluable assistance in enhancing the comprehension of circuit behavior and performance [27].…”

Section: Static Study Of Cmos 21 DC Resultsmentioning

confidence: 99%

Investigation of Temperature and Channel Dimension Effects on CMOS Circuit Performance

Messai,

Brahimi,

Saidani

et al. 2024

East Eur. J. Phys.

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This paper presents the impact of temperature variations and alterations in transistor channel dimensions on CMOS (Complementary Metal-Oxide-Semiconductor) circuit technology. To facilitate this investigation, we first identified critical parameters characterizing the device's performance, which could exhibit susceptibility to these influences. The analysis encompassed critical metrics such as the transfer characteristic, drain current, logic levels, inflection points, and truncation points. These parameters enabled us to validate the results obtained from the PSPICE simulator, which demonstrated unequivocal effectiveness. Notably, our simulation results unveiled significant effects resulting from a wide temperature range spanning from -100°C to 270°C, offering valuable in-sights into thermal-induced failures. Additionally, the influence of channel dimension changes on factors like drain current and transfer characteristics, as well as temporal parameters including signal propagation delay and rise and fall times, were meticulously examined and appreciated.

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Section: Static Study Of Cmos 21 DC Resultsmentioning

confidence: 99%

Investigation of Temperature and Channel Dimension Effects on CMOS Circuit Performance

Messai,

Brahimi,

Saidani

et al. 2024

East Eur. J. Phys.

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“…Note that these solutions are found by fixing the system parameters and by just varying only the initial conditions [82]. This phenomenon is very interesting because it has encountered many engineering systems like electronics circuits [73,83], Josephson junction [84], biological systems [85], and chemical reaction [86], just to name a few. They are, for some other engineering applications, avoided.…”

Section: Dynamics 2 Revealed: Coexistence Of Multiple Attractorsmentioning

confidence: 99%

Biomedical Image Encryption with a Novel Memristive Chua Oscillator Embedded in a Microcontroller

et al. 2023

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In this paper, a chaos-based encryption/decryption scheme using a novel memristive Chua oscillator to protect medical images is presented. The novel Chua oscillator is constructed by using the active voltage memristor in the nonlinear branch of the Chua oscillator. The chaotic dynamics behaviors are investigated using 1-D, 2-D bifurcation diagrams, time traces, basin of attractions, and largest Lyapunov exponent plot. The study reveals that the novel memristive Chua oscillator exhibits versatile transitions to chaos with interesting dynamics like multistability, spiking, and bursting oscillations just to name a few. These remarkable features are experimentally confirmed by a laboratory microcontroller-based setup. Thereafter, a chaos-based cryptography algorithm designed for biomedical images is built using pseudorandom number generated from the oscillator. The robustness and security tests undergone by the algorithm yielded high sensitivity on the encryption keys and resisted noise contamination as well as data loss. These results are encouraging and prove that the chaos-based cryptosystem built with the memristive Chua circuit-generated pseudorandom number is suitable for securing images in a healthcare system.

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“…They investigated a mathematical model of a tumour growth cancer cell, followed by a simple analogue circuit for mimicking the model. They restricted their investigations to the stability of the proposed system and with the help of chaos control technique, the chaotic behaviour of the model is performed [59]. Florent Feudjio Kemwoue et al used analogue and Pspice simulations to explain bifurcation and multistability phenomena in the behavior of tumor growth.…”

Section: Introductionmentioning

confidence: 99%

Bistability and chaotic behaviors in a 4D cancer oncolytic Virotherapy mathematical model: Pspice and FPGA implementations

Kabong Nono,

Megam Ngouonkadi

et al. 2024

Phys. Scr.

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Oncolytic viruses (OVs) exploit characteristics of mass cells and tumor-related reaction of the body to the presence of antigen, to lyse malignant cells and modulate the tumor microenvironment. However, the effective clinical utilization of these powerful treatment modules necessitates their logical control, especially in order to prevent solid and metastatic outgrowths. Hence, it is imperative to develop methods to protect a virus from the annihilating surroundings from the bloodstream when traveling to tumor locations. Our article reports on bistability and chaotic behavior in a 4D cancer virotherapy model. We find that unstable, stable and chaotic behaviors can appear in the model when tuning some of its parameters. With the help of the chart of dynamic behaviors in parameter spaces, numerical investigations of the system's characteristics are analyzed followed by a discussion of the obtained results. It appears that the local transition change from an invariant one-torus (IT1) to its two-torus (IT2) counterpart can be found in the system and this undergoes a Neimark-Saker (NS) change of direction. Based on analytical analysis, it is foretold that the model exhibits striking behaviors. We also focus our study on the deign of ad-hoc electronic and FPGA implementations of the cancer virotherapy's model, to illustrate the obtained analytical results.

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Bifurcation, multistability in the dynamics of tumor growth and electronic simulations by the use of Pspice

Cited by 23 publications

References 33 publications

Investigation of Temperature and Channel Dimension Effects on CMOS Circuit Performance

Investigation of Temperature and Channel Dimension Effects on CMOS Circuit Performance

Biomedical Image Encryption with a Novel Memristive Chua Oscillator Embedded in a Microcontroller

Bistability and chaotic behaviors in a 4D cancer oncolytic Virotherapy mathematical model: Pspice and FPGA implementations

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