4.3 Article

Intelligent solution predictive networks for non-linear tumor-immune delayed model

Related references

Note: Only part of the references are listed.
Article Mathematics

Interaction tumor-immune model with time-delay and immuno-chemotherapy protocol

Amina Cherraf et al.

Summary: This research explores a delay differential model to describe the dynamics of tumour-immune interactions in presence of immuno-chemotherapy. The findings support the efficiency of solutions and the boundedness, and establish the length of delay to preserve stability.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO (2023)

Article Computer Science, Interdisciplinary Applications

Modelling and analysis of delayed tumour-immune system with hunting T-cells

Kaushik Dehingia et al.

Summary: This study proposes a modified prey-predator-like model to illustrate tumour-immune interaction. The study finds that the discrete-time delay affects the stability of the system, and the system undergoes a Hopf bifurcation. The numerical computations correlate with the analytical results.

MATHEMATICS AND COMPUTERS IN SIMULATION (2023)

Article Automation & Control Systems

Stochastic persistence and extinction in tumor-immune system perturbed by white noise

Parthasakha Das et al.

Summary: This article studies the noise-induced dynamics of the tumor-immune system and establishes the positivity and boundedness of the solution in a stochastic system. Numerical simulations are performed to validate the theoretical findings.

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL (2022)

Article Computer Science, Artificial Intelligence

A Novel Design of Morlet Wavelet to Solve the Dynamics of Nervous Stomach Nonlinear Model

Zulqurnain Sabir et al.

Summary: This study introduces a novel design of Morlet wavelet neural network (MWNN) models to solve a class of a nonlinear nervous stomach system represented with governing ODEs systems. The performance of the optimization method MWNN-GA-ASAs is compared with Adams methods to validate its precision. Statistical assessments studies further authenticate the efficacy, reliability and consistent convergence of the proposed MWNN-GA-ASAs through independent trials.

INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS (2022)

Review Biochemistry & Molecular Biology

Perspectives on Vascular Regulation of Mechanisms Controlling Selective Immune Cell Function in the Tumor Immune Response

Michael Welsh

Summary: This review discusses the role of the vasculature in regulating the tumor immune cell response and highlights the need for further exploration of the underlying mechanisms. It emphasizes that the vasculature can directly influence immune cell infiltration into tumors and alter the tumor microenvironment, thereby affecting the tumor's immune status.

INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES (2022)

Article Computer Science, Artificial Intelligence

Design of backpropagated neurocomputing paradigm for Stuxnet virus dynamics in control infrastructure

Muhammad Asif Zahoor Raja et al.

Summary: In this study, a novel application of backpropagated neurocomputing heuristics (BNCH) is proposed to study the propagation of the Stuxnet virus in SCADA networks. The mathematical model is built using a multi-layer structure of neural networks (NNs) optimized with the Levenberg-Marquardt method, and the reference dataset is generated using the Adams method. Comparative study shows that BNCH achieves good accuracy and is further validated using metrics such as mean squared error.

NEURAL COMPUTING & APPLICATIONS (2022)

Article Biology

Delay induced interaction of humoral- and cell-mediated immune responses with cancer

Sumana Ghosh et al.

Summary: This paper studies a mathematical model for the quantitative analysis of the interaction between cancer cells and cell-mediated immune system with two discrete-time delays, considering the role of antibodies. Analytical and numerical analysis is conducted to understand the dynamics of interaction delay and proliferation enhancement effect delay in the eradication of cancer. The research reveals that both cell-mediated immune responses and humoral responses are crucial in eradicating cancer.

THEORY IN BIOSCIENCES (2022)

Article Physics, Multidisciplinary

Heat transport in entropy-optimized flow of viscoelastic fluid due to Riga plate: analysis of artificial neural network

M. Asif Zahoor Raja et al.

Summary: This paper focuses on designing intelligent numerical computing using artificial neural networks and the Levenberg-Marquardt technique for studying the physical aspects of heat generation in second-grade fluid through Riga plate. The proposed approach shows better innovation and reliability compared to traditional numerical techniques, and it is fast and easy to apply to nonlinear problems.

WAVES IN RANDOM AND COMPLEX MEDIA (2022)

Article Physics, Multidisciplinary

Artificial intelligence knacks-based stochastic paradigm to study the dynamics of plant virus propagation model with impact of seasonality and delays

Nabeela Anwar et al.

Summary: This study utilizes the stochastic paradigm of artificial intelligence knacks and implements neural networks backpropagation with Bayesian regularization scheme to handle the dynamics of plant virus propagation model with seasonality and delays. The study validates the accuracy and convergence of the model by generating reference solutions and using the designed neural networks backpropagation.

EUROPEAN PHYSICAL JOURNAL PLUS (2022)

Article Mathematics, Applied

Dynamics of fractional order delay model of coronavirus disease

Lei Zhang et al.

Summary: This paper explores the effect of time delay on coronavirus transmission and proposes a model solution. By numerical simulation and stability analysis, the reliability and stability of the model are demonstrated.

AIMS MATHEMATICS (2022)

Article Engineering, Biomedical

Artificial neural network scheme to solve the nonlinear influenza disease model

Zulqurnain Sabir et al.

Summary: This study presents numerical simulations of the influenza disease nonlinear system using stochastic artificial neural networks supported by Levenberg-Marquardt back-propagation. The results show that the model is able to accurately and efficiently solve different variations of the IDNS, achieving good agreement with data-derived results to 5-7 decimal places of accuracy.

BIOMEDICAL SIGNAL PROCESSING AND CONTROL (2022)

Article Mathematics, Interdisciplinary Applications

Design of intelligent computing networks for nonlinear chaotic fractional Rossler system

Ayaz Hussain Bukhari et al.

Summary: This study explores the application of artificial intelligence algorithms in stochastic numerical computing for the nonlinear fractional Rossler differential system. By introducing advanced transformations and radial basis neural networks (RNFN), the complex chaotic dynamics of the Rossler model are successfully solved, and the accuracy of the method is verified through comparisons with standard results.

CHAOS SOLITONS & FRACTALS (2022)

Article Mathematics, Interdisciplinary Applications

Complex dynamics of Kopel model with nonsymmetric response between oligopolists

Bo Li et al.

Summary: This paper discusses the complex dynamics of the Kopel model with nonsymmetric response. The research shows that the fixed point of the nonsymmetric model may undergo various bifurcations under specific parameter combinations. The research also reveals that the effects from rivals can lead to more complex dynamics compared to self-adjustment.

CHAOS SOLITONS & FRACTALS (2022)

Article Mathematics, Interdisciplinary Applications

Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems

Naveed Ishtiaq Chaudhary et al.

Summary: In recent years, there has been a trend in developing fractional gradient-based iterative adaptive strategies through exploring the dynamics of fractional and fractal systems. In this study, a fractional hierarchical gradient descent (FHGD) is proposed for effectively solving the nonlinear system identification problem. The FHGD algorithm is successfully applied to estimate the parameters of nonlinear control autoregressive (NCAR) systems under different fractional orders and noise conditions, and it shows improved performance compared to the standard hierarchical gradient descent (HGD) algorithm.

CHAOS SOLITONS & FRACTALS (2022)

Article Automation & Control Systems

MISGD: Moving-Information-Based Stochastic Gradient Descent Paradigm for Personalized Fuzzy Recommender Systems

Zeshan Aslam Khan et al.

Summary: Recommender systems in the e-commerce industry are optimized using matrix factorization techniques and stochastic gradient descent to improve efficacy, while also utilizing sliding windows and multi-innovation approximations to enhance accuracy.

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS (2022)

Article Thermodynamics

The design of intelligent networks for entropy generation in Ree-Eyring dissipative fluid flow system along quartic autocatalysis chemical reactions

Muhammad Shoaib et al.

Summary: This study optimized the entropy generation in dissipative flow using artificial neural networks and investigated the effects of various parameters on the flow characteristics.

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER (2022)

Article Automation & Control Systems

Observer-based quantized control for discrete-time switched systems with infinitely distributed delay

Xiaoxiao Wan et al.

Summary: This paper investigates the globally almost surely exponential stabilization of discrete-time switched systems with infinitely distributed delay. A novel class of observer-based quantized control scheme is proposed considering the limitation of communication resources. By employing S-procedure and matrix inequality techniques, an algorithm is given to design the controller parameters. The introduced multiple Lyapunov-Krasovskii functionals and mode-dependent average dwell time switching based on transition probability improve the stabilization conditions for systems with both stable and unstable modes.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2022)

Article Computer Science, Interdisciplinary Applications

Design of evolutionary finite difference solver for numerical treatment of computer virus propagation with countermeasures model

Muhammad Asif Zahoor Raja et al.

Summary: In this study, a novel application of integrated evolutionary computing paradigm is presented for analyzing nonlinear systems of differential equations in computer networks. The approach utilizes finite difference procedure for discretization, genetic algorithms for global search, and interior-point method for local search. By constructing a residual error based cost function and leveraging the combined strength of GA-IPM, the study successfully analyzes virus propagation dynamics in computer networks.

MATHEMATICS AND COMPUTERS IN SIMULATION (2022)

Article Computer Science, Artificial Intelligence

Weighted differential evolution-based heuristic computing for identification of Hammerstein systems in electrically stimulated muscle modeling

Ammara Mehmood et al.

Summary: This paper presents a weighted differential evolution (WDE)-based evolutionary heuristic computing method for parameter estimation of the nonlinear dynamics of the electrically stimulated muscle system. The fitness function is defined based on the mean square error between the actual and estimated responses. The optimization technique using WDE is applied to find the optimal parameters for the ESM model, with different input nonlinear functions. Statistical analysis confirms the effectiveness of WDE as a computational heuristic technique for identifying the electrically stimulated muscle system.

SOFT COMPUTING (2022)

Article Physics, Multidisciplinary

Intelligent computing through neural networks for entropy generation in MHD third-grade nanofluid under chemical reaction and viscous dissipation

Muhammad Asif Zahoor Raja et al.

Summary: This study investigates entropy generation in magnetohydrodynamic third-grade nanofluid flow model using Artificial Neural Network. The impacts of physical parameters on temperature, entropy production rate, velocity, Bejan number, and concentration are analyzed.

WAVES IN RANDOM AND COMPLEX MEDIA (2022)

Article Engineering, Multidisciplinary

Supervised neural networks learning algorithm for three dimensional hybrid nanofluid flow with radiative heat and mass fluxes

Muhammad Asif Zahoor Raja et al.

Summary: Hybrid nanofluid is a promising field that can enhance heat transfer and improve the stability of base fluid properties. In this study, a three-dimensional hybrid nanofluid flow model is developed and the Bayesian Regularization technique based on Backpropagated neural networks is employed to estimate the solution. The impact of various parameters on the velocity and temperature fields is investigated through self-similar transformations. Statistical tests are conducted to evaluate the accuracy and convergence of the solution obtained. The results suggest that the stretching/shrinking quantity and mass flux parameter affect the flow rate, while the increase in radiative heat flux influences the temperature gradient.

AIN SHAMS ENGINEERING JOURNAL (2022)

Article Engineering, Multidisciplinary

A novel application of integrated grasshopper optimization heuristics for attenuation of noise interferences

Wasim Ullah Khan et al.

Summary: This study proposes a novel approach, GOA-SQP, which utilizes integrated swarming intelligence computing paradigm for reliable treatment of nonlinear active noise control systems. The experimental results demonstrate that the ANC controllers based on GOA-SQP exhibit operational capability, resilience, and feasibility.

AIN SHAMS ENGINEERING JOURNAL (2022)

Article Mathematics

Adaptive Evolutionary Computation for Nonlinear Hammerstein Control Autoregressive Systems with Key Term Separation Principle

Faisal Altaf et al.

Summary: The study utilized evolutionary and swarm computing paradigms to address the overparameterization issue in parameter estimation for nonlinear systems. By integrating the key term separation principle and genetic algorithms, the proposed approach effectively estimated the actual parameters of Hammerstein control autoregressive systems.

MATHEMATICS (2022)

Article Mathematics, Applied

Dynamics and bifurcations of a discrete-time Lotka-Volterra model using nonstandard finite difference discretization method

Zohreh Eskandari et al.

Summary: A newly disclosed nonstandard finite difference method was used to discretize a prey-predator model, and the critical normal form coefficients of bifurcations for both one-parameter and two-parameter bifurcations were investigated. The model exhibited various local bifurcations such as period-doubling, Neimark-Sacker, and strong resonances. The analysis of critical normal form coefficients revealed the dynamical scenarios corresponding to each bifurcation point. Numerical simulations using Matlab package validated the theoretical analysis and provided ecological insights.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2022)

Article Mathematics, Interdisciplinary Applications

Chaos and multistability behaviors in 4D dissipative cancer growth/decay model with unstable line of equilibria

Piyush Pratap Singh et al.

Summary: The objective of this paper is to study the chaos and multistability behaviors in a 4D dissipative chaotic cancer growth/decay model. Different qualitative and quantitative dynamic tools are used to explore the chaos and multistability behaviors. The results show that the multistability behavior plays a crucial role in the dynamic evolution of tumors.

CHAOS SOLITONS & FRACTALS (2022)

Article Engineering, Multidisciplinary

Dynamics of a time-delay differential model for tumour-immune interactions with random noise

F.A. Rihan et al.

Alexandria Engineering Journal (2022)

Article Engineering, Multidisciplinary

Theoretical and numerical analysis of fractal fractional model of tumor-immune interaction with two different kernels

Shabir Ahmad et al.

Summary: This manuscript explores the interaction between the immune system and cancer cells using fractal fractional operators in Caputo and Caputo-Fabrizio sense. The tumor-immune model is investigated numerically and theoretically, demonstrating the existence and uniqueness of the model under different fractional orders. The Ulam-Hyres stability of the model is derived through nonlinear analysis. Numerical results using singular and nonsingular fractal fractional operators show that the nonsingular operator provides better dynamics for the considered model.

ALEXANDRIA ENGINEERING JOURNAL (2022)

Article Mathematics, Interdisciplinary Applications

STUDY ON THE DYNAMICS OF A PIECEWISE TUMOR-IMMUNE INTERACTION MODEL

Sayed Saifullah et al.

Summary: This paper presents a new operator for dealing with multi-step behaviors in complicated global problems and investigates the dynamics of the tumor-immune-vitamins model using piecewise derivatives. The existence and uniqueness of solutions with piecewise derivatives are established, and a numerical scheme using Newton polynomials is proposed. Visualizations of the results for different fractional orders are provided through simulations.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2022)

Article

A Detailed Study on a Tumor Model with Delayed Growth of Pro-Tumor Macrophages

Kaushik Dehingia et al.

International Journal of Applied and Computational Mathematics (2022)

Article Mathematics, Applied

Analysis of a delay-induced mathematical model of cancer

Anusmita Das et al.

Summary: The dynamical behavior of a mathematical model of cancer, including tumor cells, immune cells, and normal cells, is investigated when a delay term is induced. The stability of existing equilibrium points in the delay-induced system is studied in detail, and the presence of Hopf bifurcation is demonstrated. Through mathematical analysis and numerical simulations, the effects of delay on the stability and behavior of the system are examined.

ADVANCES IN CONTINUOUS AND DISCRETE MODELS (2022)

Article Multidisciplinary Sciences

Backpropagated Intelligent Networks for the Entropy Generation and Joule Heating in Hydromagnetic Nanomaterial Rheology Over Surface with Variable Thickness

Muhammad Asif Zahoor Raja et al.

Summary: In this study, the strength of backpropagated intelligent networks (BINs) was used to investigate the entropy characteristics in magnetohydrodynamics (MHD) nanofluidic flow model. The effects of various factors, such as surface thickness, joule heating, viscous dissipation, and heat generation/absorption, were considered. A trained artificial neural network was used to generate a dataset for different scenarios, and the proposed approach was validated by comparing the results with reference data.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING (2022)

Article Mathematics, Applied

COMPLEX DYNAMIC BEHAVIORS OF A TUMOR-IMMUNE SYSTEM WITH TWO DELAYS IN TUMOR ACTIONS

Jianquan Li et al.

Summary: This study proposes a tumor-immune system model to investigate the effects of tumor actions on the immune system, including stimulation and neutralization. The analysis reveals that time delays can lead to different phenomena, such as changes in stability and multiple stability switches in the model.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2022)

Article Mathematical & Computational Biology

Numerical investigations of the nonlinear smoke model using the Gudermannian neural networks

Zulqurnain Sabir et al.

Summary: This study solves the nonlinear smoke model using the GNNs-GA-IPA method and validates its correctness and reliability through result comparison.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2022)

Article Multidisciplinary Sciences

Design of Backpropagated Intelligent Networks for Nonlinear Second-Order Lane-Emden Pantograph Delay Differential Systems

Imtiaz Khan et al.

Summary: The study utilizes intelligent computing methods to solve nonlinear singular Lane-Emden and pantograph delay differential equations, providing solutions through Levenberg-Marquardt backpropagation networks and Bayesian regularization backpropagation networks, and validating the performance through three different case studies.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING (2022)

Article Mathematics, Interdisciplinary Applications

The impact of distributed time delay in a tumor-immune interaction system

Mrinmoy Sardar et al.

Summary: This paper investigates the impact of continuously distributed delay on the interaction between tumor cells and the immune system, analyzing the properties of the model and the stability of the system. The study reveals that the activation rate of tumor-specific CD8+T cells plays a crucial role in preventing oscillations in the presence or absence of tumors. Additionally, numerical results are provided to validate the findings and interpret their biological implications.

CHAOS SOLITONS & FRACTALS (2021)

Article Mathematics, Interdisciplinary Applications

The impact of immunotherapy on a glioma immune interaction model

Subhas Khajanchi

Summary: This study focuses on developing a more successful treatment strategy for glioblastoma by proposing a mathematical model that accurately predicts the response to immunotherapy. The model helps identify the appropriate treatment window for achieving an optimal concentration of tumor cells.

CHAOS SOLITONS & FRACTALS (2021)

Article Biotechnology & Applied Microbiology

A New Mathematical Model for Controlling Tumor Growth Based on Microenvironment Acidity and Oxygen Concentration

F. Pourhasanzade et al.

Summary: By regulating the oxygen concentration and acidity of the tumor microenvironment, a two-dimensional multiscale cellular automata model was introduced to study the impact of hypoxia and pH levels on tumor growth. The model can quantitatively and qualitatively simulate in vivo tumor growth, metabolic factors concentration, and spatial heterogeneity effects, providing a valuable tool for predicting the spatiotemporal progression of tumors and different tumor evolution scenarios for personalized therapy.

BIOMED RESEARCH INTERNATIONAL (2021)

Article Mathematics, Applied

Mathematical analysis of a cancer model with time-delay in tumor-immune interaction and stimulation processes

Kaushik Dehingia et al.

Summary: This study discusses a cancer model with discrete time-delay in tumor-immune interaction, aiming to analyze the dynamics of the model with varying parameters and the delay effect on anti-tumor immune responses. The study establishes conditions for equilibrium points and their stability, investigates the existence of Hopf bifurcation at co-axial equilibrium, and discusses the stability of bifurcating periodic solutions. Results show that the system undergoes different states with parameter variations, which are verified through numerical simulations.

ADVANCES IN DIFFERENCE EQUATIONS (2021)

Article Mathematics, Interdisciplinary Applications

Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model

Bo Li et al.

Summary: In this article, multiple and generic bifurcations of planar discrete-time Hindmarsh-Rose oscillator are investigated in detail using bifurcation theory and numerical continuation techniques. Three kinds of one-parameter bifurcation and five kinds of two-parameter bifurcation are studied, with different critical cases of each bifurcation computed and their possible transitions explored. Particularly, the bifurcations of higher iterations and the bifurcation distributions of two-parameter bifurcation point are observed.

CHAOS SOLITONS & FRACTALS (2021)

Article Mathematics, Interdisciplinary Applications

Optimal control strategy for cancer remission using combinatorial therapy: A mathematical model-based approach

Parthasakha Das et al.

Summary: This article develops and analyzes a non-linear mathematical model of tumor-immune interactions with combined therapeutic drug and treatment controls. Optimal treatment strategies are established to maximize immune-effector cell number, minimize cancer cell number, and reduce detrimental effects caused by drugs. Sensitivity analysis and cost-effectiveness analysis are performed to identify important parameters and determine the most cost-effective therapeutic strategy. Numerical results validate analytical findings, showing that combinatorial drug therapy can alleviate cancer cells under different scenarios.

CHAOS SOLITONS & FRACTALS (2021)

Article Engineering, Multidisciplinary

Exploring the dynamics of a tumor-immune interplay with time delay

Mrinmoy Sardar et al.

Summary: A conceptual mathematical model for tumor-immune interaction is proposed and analyzed, consisting of three coupled non-linear ODEs. The model can exhibit complicated dynamical behaviors and the study includes the qualitative properties, existence of solutions, and local stability analysis of biological feasible steady states. The presence of IL-2 can cause effector cells to regress the tumor cell population.

ALEXANDRIA ENGINEERING JOURNAL (2021)

Article Mathematics, Applied

NONLINEAR DYNAMICS IN TUMOR-IMMUNE SYSTEM INTERACTION MODELS WITH DELAYS

Shigui Ruan

Summary: This paper reviews recent research on the nonlinear dynamics of delayed differential equation models describing the interaction between tumor cells and effector cells of the immune system. The study investigates models with different numbers of delays and reveals various possible bifurcations and complex behaviors in the interaction dynamics. The results provide insights into the complexity of tumor-immune system interactions and pose interesting questions for future research.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2021)

Article Mathematical & Computational Biology

Chaotic dynamics of a delayed tumor-immune interaction model

Subhas Khajanchi

INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2020)

Article Mathematics, Interdisciplinary Applications

Dynamics of fractional-order delay differential model for tumor-immune system

F. A. Rihan et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Biochemistry & Molecular Biology

Tumor immune microenvironment in head and neck cancers

Samantha M. Y. Chen et al.

MOLECULAR CARCINOGENESIS (2020)

Article Mathematics, Applied

The impact of time delay in a tumor model

Xinyue Evelyn Zhao et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2020)

Article Physics, Multidisciplinary

Hopf bifurcation analysis of a tumor virotherapy model with two time delays

Hui-zhong Li et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2020)

Review Medicine, Research & Experimental

Modeling immune cell behavior across scales in cancer

Sahak Z. Makaryan et al.

WILEY INTERDISCIPLINARY REVIEWS-SYSTEMS BIOLOGY AND MEDICINE (2020)

Article Mathematics, Interdisciplinary Applications

Optimal treatment strategies for delayed cancer -immune system with multiple therapeutic approach

Parthasakha Das et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Mathematics, Applied

Fully-Discrete Analysis of High-Order Spatial Discretizations with Optimal Explicit Runge-Kutta Methods

Carlos A. Pereira et al.

JOURNAL OF SCIENTIFIC COMPUTING (2020)

Article Engineering, Mechanical

Characterizing chaos and multifractality in noise-assisted tumor-immune interplay

Parthasakha Das et al.

NONLINEAR DYNAMICS (2020)

Article Mathematics, Applied

Exploring dynamical complexity in a time-delayed tumor-immune model

Parthasakha Das et al.

CHAOS (2020)

Article Mathematics, Applied

Mathematical modeling and numerical simulation of a multiscale cancer invasion of host tissue

Peter Romeo Nyarko et al.

AIMS MATHEMATICS (2020)

Article Engineering, Multidisciplinary

Stability Analysis of a Mathematical Model for Glioma-Immune Interaction under Optimal Therapy

Subhas Khajanchi

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION (2019)

Article Biology

A STRATEGY OF OPTIMAL EFFICACY OF T11 TARGET STRUCTURE IN THE TREATMENT OF BRAIN TUMOR

Subhas Khajanchi et al.

JOURNAL OF BIOLOGICAL SYSTEMS (2019)

Article Mathematics, Applied

Optimal control of tumour-immune model with time-delay and immuno-chemotherapy

F. A. Rihan et al.

APPLIED MATHEMATICS AND COMPUTATION (2019)

Article Mathematics, Applied

Mathematical modeling of tumor-immune competitive system, considering the role of time delay

Subhas Khajanchi et al.

APPLIED MATHEMATICS AND COMPUTATION (2019)

Article Mathematics, Applied

The influence of time delay in a chaotic cancer model

Subhas Khajanchi et al.

CHAOS (2018)

Article Mathematics, Applied

The combined effects of optimal control in cancer remission

Subhas Khajanchi et al.

APPLIED MATHEMATICS AND COMPUTATION (2015)

Article Mathematics, Interdisciplinary Applications

Bifurcation analysis of a delayed mathematical model for tumor growth

Subhas Khajanchi

CHAOS SOLITONS & FRACTALS (2015)

Article Mathematics, Applied

Stability and bifurcation analysis of delay induced tumor immune interaction model

Subhas Khajanchi et al.

APPLIED MATHEMATICS AND COMPUTATION (2014)

Article Computer Science, Interdisciplinary Applications

Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy

Alberto d'Onofrio

MATHEMATICAL AND COMPUTER MODELLING (2008)

Article Biology

Cancer self remission and tumor stability - a stochastic approach

RR Sarkar et al.

MATHEMATICAL BIOSCIENCES (2005)