Alain Mvogo
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Alain Mvogo has a total of 22 co-authors. Here are the top co-authors by number of shared publications:
- Timoléon Crépin Kofané
University of Yaoundé I
5 shared publications - Jorge Eduardo Macías Díaz
Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes 20131, Mexico
4 shared publications - Joseph Brizar Okaly
University of Yaoundé I
4 shared publications Germain Hubert Ben-Bolie
Laboratory of Nuclear Physics, Dosimetry and Radiation Protection, Department of Physics, Faculty of Science, University of Yaounde I, Yaounde, Cameroon
3 shared publications- Bertrand Bodo
Laboratory of Biophysics, Faculty of Science, Department of Physics, University of Yaounde I, P. O. Box 812, Yaounde, Cameroon
2 shared publications - Conrad Bertrand Tabi
Botswana International University of Science and Technology
2 shared publications
Latest Publications
- Open Access
- 13 April 2026
- Published by Springer Nature in Scientific Reports
- Vol. 16 (1)
Cancer treatment by radioimmunotherapy: insights from a dynamical model of cancer stem cells and hypoxia effects
Cancer remains a major challenge for conventional treatments. This is due to the resistance mechanisms driven by cancer stem cells (CSCs) which sustain tumor growth. In this work, we investigate both analytically and computationally the effects of radioimmunotherapy (RIT), a cutting-edge technique that uses radiolabeled antibodies to precisely target and irradiate cancer cells. The work considers time delay modeling and the interactions between microRNAs and differentiated cancer cells (DCs). We evaluate the effects of extrapolated dose rates from four important radionuclides including yttrium-90 ( $$^{90}\textrm{Y}$$ ), lutetium-177 ( $$^{177}\textrm{Lu}$$ ), iodine-131 ( $$^{131}\textrm{I}$$ ) and actinium-225 ( $$^{225}\textrm{Ac}$$ ) in the preventive treatment of cancer before recurrence. A sensitivity analysis of model parameters is also performed to assess the robustness of the predictions and to identify the most influential biological and physical variables. Using the linear-quadratic formalism, we compare their biological effective dose, surviving fraction, and tumor control probability. The results demonstrate that an extrapolated initial dose of 165 $$\mathrm {Gy.year^{-1}}$$ leads to an eradication of CSCs using $$^{225}\textrm{Ac}$$ and $$^{177}\textrm{Lu}$$ within 1.4636 year and 1.5736 year, respectively. Similarly, DCs are eliminated with $$^{225}\textrm{Ac}$$ and $$^{177}\textrm{Lu}$$ over treatment durations of 0.9396 year and 1.0496 year, respectively. These results highlight the potent effects of $$^{225}\textrm{Ac}$$ and $$^{177}\textrm{Lu}$$ in targeting CSCs and DCs at this dose rate. Under these conditions, microRNAs act as tumor suppressors, thus preventing pro-tumorigenic effects. Exceeding the dose threshold (beyond 165 $$\mathrm {Gy.year^{-1}}$$ ) disrupts the therapeutic balance with an efficacy which decreases progressively. For the doses above 326 $$\mathrm {Gy.year^{-1}}$$ , the overproliferation of CSCs and DCs is observed with an oncogenic behavior of microRNAs. We further examine the role of tumor oxygenation in modulating RIT efficacy. The results reveal that enhancing oxygen availability significantly increases CSC radiosensitivity, which is otherwise reduced under hypoxic conditions. The results of this work provide insight in optimizing RIT protocols using radiolabeled agents with improved pharmacokinetics and biological half-lives.- 13 April 2026
- Published by Springer Nature in Scientific Reports
- Vol. 16 (1)
Open AccessCancer treatment by radioimmunotherapy: insights from a dynamical model of cancer stem cells and hypoxia effects
Cancer remains a major challenge for conventional treatments. This is due to the resistance mechanisms driven by cancer stem cells (CSCs) which sustain tumor growth. In this work, we investigate both analytically and computationally the effects of radioimmunotherapy (RIT), a cutting-edge technique that uses radiolabeled antibodies to precisely target and irradiate cancer cells. The work considers time delay modeling and the interactions between microRNAs and differentiated cancer cells (DCs). We evaluate the effects of extrapolated dose rates from four important radionuclides including yttrium-90 ( $$^{90}\textrm{Y}$$ ), lutetium-177 ( $$^{177}\textrm{Lu}$$ ), iodine-131 ( $$^{131}\textrm{I}$$ ) and actinium-225 ( $$^{225}\textrm{Ac}$$ ) in the preventive treatment of cancer before recurrence. A sensitivity analysis of model parameters is also performed to assess the robustness of the predictions and to identify the most influential biological and physical variables. Using the linear-quadratic formalism, we compare their biological effective dose, surviving fraction, and tumor control probability. The results demonstrate that an extrapolated initial dose of 165 $$\mathrm {Gy.year^{-1}}$$ leads to an eradication of CSCs using $$^{225}\textrm{Ac}$$ and $$^{177}\textrm{Lu}$$ within 1.4636 year and 1.5736 year, respectively. Similarly, DCs are eliminated with $$^{225}\textrm{Ac}$$ and $$^{177}\textrm{Lu}$$ over treatment durations of 0.9396 year and 1.0496 year, respectively. These results highlight the potent effects of $$^{225}\textrm{Ac}$$ and $$^{177}\textrm{Lu}$$ in targeting CSCs and DCs at this dose rate. Under these conditions, microRNAs act as tumor suppressors, thus preventing pro-tumorigenic effects. Exceeding the dose threshold (beyond 165 $$\mathrm {Gy.year^{-1}}$$ ) disrupts the therapeutic balance with an efficacy which decreases progressively. For the doses above 326 $$\mathrm {Gy.year^{-1}}$$ , the overproliferation of CSCs and DCs is observed with an oncogenic behavior of microRNAs. We further examine the role of tumor oxygenation in modulating RIT efficacy. The results reveal that enhancing oxygen availability significantly increases CSC radiosensitivity, which is otherwise reduced under hypoxic conditions. The results of this work provide insight in optimizing RIT protocols using radiolabeled agents with improved pharmacokinetics and biological half-lives. - 30 May 2025
- Published by Springer Nature in The European Physical Journal Plus
- Vol. 140 (5) , 1-20
Earthquake waves in a modified Burridge and Knopoff model
- 30 May 2025
- Published by Springer Nature in The European Physical Journal Plus
- Vol. 140 (5) , 1-20
Earthquake waves in a modified Burridge and Knopoff model
- 6 May 2024
- Published by Springer Nature in Nonlinear Dynamics
- Vol. 112 (13) , 11399-11418
Soliton-like nonlinear excitation in the FitzHugh–Nagumo cardiac model through the cubic–quintic complex Ginzburg–Landau equation
- 6 May 2024
- Published by Springer Nature in Nonlinear Dynamics
- Vol. 112 (13) , 11399-11418
Soliton-like nonlinear excitation in the FitzHugh–Nagumo cardiac model through the cubic–quintic complex Ginzburg–Landau equation
- Open Access
- 4 March 2024
- Published by Springer Nature in Scientific Reports
- Vol. 14 (1) , 1-17
Dynamics of a diffusive model for cancer stem cells with time delay in microRNA-differentiated cancer cell interactions and radiotherapy effects
Understand the dynamics of cancer stem cells (CSCs), prevent the non-recurrence of cancers and develop therapeutic strategies to destroy both cancer cells and CSCs remain a challenge topic. In this paper, we study both analytically and numerically the dynamics of CSCs under radiotherapy effects. The dynamical model takes into account the diffusion of cells, the de-differentiation (or plasticity) mechanism of differentiated cancer cells (DCs) and the time delay on the interaction between microRNAs molecules (microRNAs) with DCs. The stability of the model system is studied by using a Hopf bifurcation analysis. We mainly investigate on the critical time delay \(\tau _{c}\), that represents the time for DCs to transform into CSCs after the interaction of microRNAs with DCs. Using the system parameters, we calculate the value of \(\tau _{c}\) for prostate, lung and breast cancers. To confirm the analytical predictions, the numerical simulations are performed and show the formation of spatiotemporal circular patterns. Such patterns have been found as promising diagnostic and therapeutic value in management of cancer and various diseases. The radiotherapy is applied in the particular case of prostate model. We calculate the optimum dose of radiation and determine the probability of avoiding local cancer recurrence after radiotherapy treatment. We find numerically a complete eradication of patterns when the radiotherapy is applied before a time \(t < \tau _{c}\). This scenario induces microRNAs to act as suppressors as experimentally observed in prostate cancer. The results obtained in this paper will provide a better concept for the clinicians and oncologists to understand the complex dynamics of CSCs and to design more efficacious therapeutic strategies to prevent the non-recurrence of cancers.- 4 March 2024
- Published by Springer Nature in Scientific Reports
- Vol. 14 (1) , 1-17
Open AccessDynamics of a diffusive model for cancer stem cells with time delay in microRNA-differentiated cancer cell interactions and radiotherapy effects
Understand the dynamics of cancer stem cells (CSCs), prevent the non-recurrence of cancers and develop therapeutic strategies to destroy both cancer cells and CSCs remain a challenge topic. In this paper, we study both analytically and numerically the dynamics of CSCs under radiotherapy effects. The dynamical model takes into account the diffusion of cells, the de-differentiation (or plasticity) mechanism of differentiated cancer cells (DCs) and the time delay on the interaction between microRNAs molecules (microRNAs) with DCs. The stability of the model system is studied by using a Hopf bifurcation analysis. We mainly investigate on the critical time delay \(\tau _{c}\), that represents the time for DCs to transform into CSCs after the interaction of microRNAs with DCs. Using the system parameters, we calculate the value of \(\tau _{c}\) for prostate, lung and breast cancers. To confirm the analytical predictions, the numerical simulations are performed and show the formation of spatiotemporal circular patterns. Such patterns have been found as promising diagnostic and therapeutic value in management of cancer and various diseases. The radiotherapy is applied in the particular case of prostate model. We calculate the optimum dose of radiation and determine the probability of avoiding local cancer recurrence after radiotherapy treatment. We find numerically a complete eradication of patterns when the radiotherapy is applied before a time \(t < \tau _{c}\). This scenario induces microRNAs to act as suppressors as experimentally observed in prostate cancer. The results obtained in this paper will provide a better concept for the clinicians and oncologists to understand the complex dynamics of CSCs and to design more efficacious therapeutic strategies to prevent the non-recurrence of cancers. - 19 May 2023
- Published by Springer Nature in Nonlinear Dynamics
- Vol. 111 (14) , 13619-13639
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment
We investigate the dynamics of a SIRS epidemiological model taking into account cross-superdiffusion and delays in transmission, Beddington–DeAngelis incidence rate and Holling type II treatment. The superdiffusion is induced by inter-country and inter-urban exchange. The linear stability analysis for the steady-state solutions is performed, and the basic reproductive number is calculated. The sensitivity analysis of the basic reproductive number is presented, and we show that some parameters strongly influence the dynamics of the system. A bifurcation analysis to determine the direction and stability of the model is carried out using the normal form and center manifold theorem. The results reveal a proportionality between the transmission delay and the diffusion rate. The numerical results show the formation of patterns in the model, and their epidemiological implications are discussed.
- 19 May 2023
- Published by Springer Nature in Nonlinear Dynamics
- Vol. 111 (14) , 13619-13639
Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment
We investigate the dynamics of a SIRS epidemiological model taking into account cross-superdiffusion and delays in transmission, Beddington–DeAngelis incidence rate and Holling type II treatment. The superdiffusion is induced by inter-country and inter-urban exchange. The linear stability analysis for the steady-state solutions is performed, and the basic reproductive number is calculated. The sensitivity analysis of the basic reproductive number is presented, and we show that some parameters strongly influence the dynamics of the system. A bifurcation analysis to determine the direction and stability of the model is carried out using the normal form and center manifold theorem. The results reveal a proportionality between the transmission delay and the diffusion rate. The numerical results show the formation of patterns in the model, and their epidemiological implications are discussed.
- 1 November 2021
- Published by Elsevier in Computer Methods and Programs in Biomedicine
- Vol. 212, 106469
Computer simulation of the dynamics of a spatial susceptible-infected-recovered epidemic model with time delays in transmission and treatment
- 1 November 2021
- Published by Elsevier in Computer Methods and Programs in Biomedicine
- Vol. 212, 106469
Computer simulation of the dynamics of a spatial susceptible-infected-recovered epidemic model with time delays in transmission and treatment
- 1 December 2020
- Published by American Physical Society (APS) in Physical Review E
- Vol. 102 (6) , 062402
Base pair opening in a damped helicoidal Joyeux-Buyukdagli model of DNA in an external force field
Upon the Joyeux-Buyukdagli model of DNA, the helicoidal interactions are introduced, and their effects on the dynamical behaviors of the molecule investigated. A theoretical framework for the analysis is presented in an external force field, taking into account Stokes and hydrodynamics viscous forces. In the semi-discrete approximation, the dynamics of the molecule is found governed by the cubic complex Ginzburg-Landau (CGL) equation. By choosing an appropriate decoupling ansatz, the cubic CGL equation is transformed into a nonlinear differential equation whose analytical solitary wave-like solutions can be explored by means of the direct method, which is more tractable in case where the form of soliton solutions is known. Based on this, a dissipative bright-like soliton solution is obtained. Numerical experiments have been done, and relevant results were brought out, such as the quantitative and qualitative influences of the helical interactions on the parameters of the traveling bubble. The important role-played by these interactions in the DNA biological processes is brought out, showing that depending on the wave number, their effects can increase, decrease, or keep constant the bubble angular frequency, velocity, amplitude, and width, as well as the energy involved by enzymes in the initiation of DNA biological processes. This can prevent some coding or reading errors and resulting genetic damages. Analytical predictions and numerical experiments were in good agreement.
- 1 December 2020
- Published by American Physical Society (APS) in Physical Review E
- Vol. 102 (6) , 062402
Base pair opening in a damped helicoidal Joyeux-Buyukdagli model of DNA in an external force field
Upon the Joyeux-Buyukdagli model of DNA, the helicoidal interactions are introduced, and their effects on the dynamical behaviors of the molecule investigated. A theoretical framework for the analysis is presented in an external force field, taking into account Stokes and hydrodynamics viscous forces. In the semi-discrete approximation, the dynamics of the molecule is found governed by the cubic complex Ginzburg-Landau (CGL) equation. By choosing an appropriate decoupling ansatz, the cubic CGL equation is transformed into a nonlinear differential equation whose analytical solitary wave-like solutions can be explored by means of the direct method, which is more tractable in case where the form of soliton solutions is known. Based on this, a dissipative bright-like soliton solution is obtained. Numerical experiments have been done, and relevant results were brought out, such as the quantitative and qualitative influences of the helical interactions on the parameters of the traveling bubble. The important role-played by these interactions in the DNA biological processes is brought out, showing that depending on the wave number, their effects can increase, decrease, or keep constant the bubble angular frequency, velocity, amplitude, and width, as well as the energy involved by enzymes in the initiation of DNA biological processes. This can prevent some coding or reading errors and resulting genetic damages. Analytical predictions and numerical experiments were in good agreement.
- 30 October 2018
- Published by Springer Nature in Journal of Mathematical Chemistry
- Vol. 57 (2) , 638-654
Complex pattern formation arising from wave instabilities in a three-agent chemical system with superdiffusion
- 30 October 2018
- Published by Springer Nature in Journal of Mathematical Chemistry
- Vol. 57 (2) , 638-654
Complex pattern formation arising from wave instabilities in a three-agent chemical system with superdiffusion
- 7 September 2018
- Published by Elsevier in Chaos, Solitons & Fractals
- Vol. 115, 190-195
Experimental hysteresis in memristor based Duffing oscillator
- 7 September 2018
- Published by Elsevier in Chaos, Solitons & Fractals
- Vol. 115, 190-195
Experimental hysteresis in memristor based Duffing oscillator
- Open Access
Nonlinear dynamics of DNA systems with inhomogeneity effects
We investigate the nonlinear dynamics of the Peyrard-Bishop DNA model taking into account site dependent inhomogeneities. By means of the multiple-scale expansion in the semi-discrete approximation, the dynamics is governed by the perturbed nonlinear Schrodinger equation. We carry out a multiple-scale soliton perturbation analysis to find the effects of the variety of nonlinear inhomogeneities on the breatherlike soliton solution. During the crossing of the inhomogeneities, the coherent structure of the soliton is found stable. The global shape of the inhomogeneous molecule is merged with the shape of the homogeneous molecule. However, the velocity, the wavenumber and the angular frequency undergo a time-dependent correction that is proportional to initial width of the soliton and depends on the nature of the inhomogeneities.
Open AccessNonlinear dynamics of DNA systems with inhomogeneity effects
We investigate the nonlinear dynamics of the Peyrard-Bishop DNA model taking into account site dependent inhomogeneities. By means of the multiple-scale expansion in the semi-discrete approximation, the dynamics is governed by the perturbed nonlinear Schrodinger equation. We carry out a multiple-scale soliton perturbation analysis to find the effects of the variety of nonlinear inhomogeneities on the breatherlike soliton solution. During the crossing of the inhomogeneities, the coherent structure of the soliton is found stable. The global shape of the inhomogeneous molecule is merged with the shape of the homogeneous molecule. However, the velocity, the wavenumber and the angular frequency undergo a time-dependent correction that is proportional to initial width of the soliton and depends on the nature of the inhomogeneities.