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Graduate in Mathematics (2001) and Physics (2007) at Universidad Complutense de Madrid. PhD in Mathematics (2008) at University of Castilla-La Mancha. His research interests are partial differential equations and their applications to Mathematical Biology |
Publications
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A Mathematical Model for Fibrous Dysplasia: The Role of the Flow of Mutant Cells
Bulletin of Mathematical Biology 86, 108 (2024)
M. Soloviova, J.C. Beltrán-Vargas, L. Fernández De Castro, J. Belmonte-Beitia, V.M. Pérez-García, M. Caballero -
Asymptotic dynamics and optimal treatment for a model of tumour resistance to chemotherapy
Applied Mathematical Modelling, 135 (2024), 620-639
Mariusz Bodzioch, Juan Belmonte-Beitia, Urszula Forys -
Integrated modeling of labile and glycated hemoglobin with glucose for enhanced diabetes detection and short-term monitoring
iScience. 27(4), 109369 (2024)
Romero-Rosales JA, Aragones DG, Escribano-Serrano J, Borrachero MG, Doña AM, Macías López FJ, Santos Mata MA, Jiménez IN, Casamitjana Zamora MJ, Serrano H, Belmonte-Beitia J, Durán MR, Calvo GF -
On the Dynamics and Optimal Control of a Mathematical Model of Neuroblastoma and its Treatment: Insights from a Mathematical Model
M3AS: Mathematical Models and Methods in Applied Sciences 07(34) (2024)
José García Otero, Mariusz Bodzioch, and Juan Belmonte-Beitia -
Understanding the role of B cells in CAR T-cell therapy in leukemia through a mathematical model
Chaos 34, 083142 (2024)
S. Serrano, R. Barrio, A. Martínez-Rubio, J. Belmonte-Beitia, V. M. Pérez-García -
On the Analysis of a Mathematical Model of CAR-T Cell Therapy for Glioblastoma: Insights from a Mathematical Model
International Journal of Applied Mathematics and Computer Science 33(3), 379-394 (2023)
Bodnar, M ; Forys, U ; Piotrowska, MJ ; Bodzioch, M ; Romero-Rosales, JA; Belmonte-Beitia, J -
Dynamics and analysis of a mathematical model of neuroblastoma treated with Celyvir
Applied Mathematical Modelling 110 (2022) 131-148
J. García Otero, A. Alvarez Arenas, J. Belmonte Beitia -
A mesoscopic simulator to uncover heterogeneity and evolutionary dynamics in tumors
PLoS Computational Biology 17(2) e1008266 (2021).
J. Jiménez-Sánchez, A. Martínez-Rubio, A. Popov, J. Pérez-Beteta, Y. Azimzade, D. Molina-García, J. Belmonte-Beitia, G.F. Calvo, V.M. Pérez-García -
CAR T cell therapy in B-cell acute lymphoblastic leukaemia: Insights from mathematical models
Comm Nonlin Sci Numer Simul 94, 105570 (2021)
O. León-Triana, S. Sabir, G.F. Calvo, J. Belmonte-Beitia, S. Chulian, A. Martínez-Rubio, M. Rosa, A. Pérez-Martínez, M. Ramírez-Orellana, V.M. Pérez-García -
Influence of Coating and Size of Magnetic Nanoparticles on Cellular Uptake for In Vitro MRI
Nanomaterials. 11(11), 2888 (2021).
Cortés-Llanos B, Ocampo SM, de la Cueva L, Calvo GF, Belmonte-Beitia J, Pérez L, Salas G, Ayuso-Sacido Á. -
Optimal Combinations of Chemotherapy and Radiotherapy in Low-Grade Gliomas: A Mathematical Approach
Journal of Personalized Medicine 2021, 11 (2021) 1036
L. E. Ayala-Hernández, A. Gallegos, P. Schucht, M. Murek, L. A. Pérez-Romasanta, J. Belmonte-Beitia, V. M. Pérez-García -
Explicit solutions with non-trivial phase of the inhomogeneous coupled two-component NLS system
Journal of Physics A: Mathematical and Theoretical 53, 015201 (2020)
J. Belmonte-Beitia, F. Gungor, P. Torres -
Identification of a transient state during the acquisition of temozolomide resistance in glioblastoma
Cell Death & Disease 11, 19 (2020)
M. Rabe, S. Dummont, A. Álvarez-Arenas Alcami, H. Janati, J. Belmonte-Beitia, G.F. Calvo, C. Thibault-Charpentier, Q. Séry, C. Chauvin, N. Joalland, F. Briand, E. Scotet, C. Pecqueur, J. Clairambault, L. Oliver, A. Nadaradjane, V.M. Pérez-García, P. François Cartron, C. Gratas, F.M. Vallette -
Mitochondria transfer from tumor-activated stromal cells (TASCs) to primary Glioblastoma cells.
Biochemical and Biophysical Research Communications 533(1) 139-147 (2020)
C. Salaud, A. Alvarez-Arenas Alcami, F. Geraldo, J. Belmonte-Beitia, G.F. Calvo, C. Gratas, C. Pecqueur, D. Garnier, V.M. Pérez- García, F.M. Vallette, L. Oliver -
Modelling the role of flux density and coating on nanoparticle internalization by tumor cells under centrifugation
Applied Mathematical Modelling, 78 (2020) 98-116
G.F. Calvo, B. Cortes-Llanos, J. Belmonte-Beitia, Gorka Salas, A. Ayuso-Sacido -
Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: A mathematical model
Mathematical Modelling of Natural Phenomena 15, 10 (2020)
J. Pérez Beteta, J. Belmonte-Beitia, V.M. Pérez-García -
Universal scaling laws rule explosive growth in human cancers
Nature Physics 16, 1232-1237 (2020)
V.M. Pérez-García, G.F. Calvo, J.J. Bosque, O. León-Triana, J. Jiménez-Sánchez, J. Pérez-Beteta, J. Belmonte-Beitia, M. Valiente, L. Zhu, P. García-Gómez, P. Sánchez-Gómez, E. Hernández, R. Hortigüela, Y. Azimzade, D. Molina-García, A.Martínez-Rubio, A. Acosta, A. Ortiz de Mendivil, F. Vallette, P. Schucht, M. Murek, M.Pérez-Cano, D.Albillo, AF Honguero, G.A. Jiménez, E. Arana, AM García-Vicente -
Computational design of improved standardized chemotherapy protocols for grade II oligodendrogliomas.
PLOS Computational Biology 15(7) (2019) e1006778
V.M. Pérez-García, L.E. Ayala-Hernández, J. Belmonte-Beitia, P. Schucht, M. Murek, A. Raabe -
Interplay of Darwinian Selection, Lamarckian Induction and Microvesicle Transfer on Drug Resistance in Cancer.
Scientific Reports 9:9332 (2019)
A. Alvarez-Arenas, A. Podolski-Renic, J. Belmonte-Beitia, M. Pesic, G.F. Calvo -
Radiation protraction schedules for low-grade gliomas: A comparison between different mathematical models
Journal of the Royal Society of Interface 16, 20190665 (2019)
I. Budia, A. Álvarez-Arenas, T.E. Wooley, G.F. Calvo, J. Belmonte-Beitia -
Ultimate dynamics and optimal control of a multi-compartment model of tumor resistance to chemotherapy
Discrete and Continuous Dynamical Systems B 24(5) 2017-2038 (2019)
A. Alvarez-Arenas, K.E. Starkov, G.F. Calvo, J. Belmonte-Beitia -
Changes in the retreatment radiation tolerance of the spinal cord with time after the initial treatment
International Journal of Radiation Biology 94:6, 515-531 (2018)
T.E. Wooley, J. Belmonte-Beitia, G.F. Calvo, J.W. Hopewell, E.A. Gaffney and B. Jones -
Labile Hemoglobin as a Glycemic Biomarker for Patient-Specific Monitoring of Diabetes: Mathematical Modelling Approach
Journal of the Royal Society Interface, 15(142), 20180224 (2018)
O. León-Triana, G.F. Calvo, J. Belmonte-Beitia, M. Rosa Durán, J. Escribano-Serrano, A. Michan-Doña, V.M. Pérez-García -
Optimal control problems for differential equations applied to tumor growth: state of the art.
Applied Mathematics and Nonlinear Sciences, 3(2), 15-41, (2018)
C. Rojas, J. Belmonte-Beitia -
A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications
Mathematical Biosciences 288 (2017) 1-13
M.U. Bogdanska, M. Bodnar, J. Belmonte-Beitia, M. Murek, P. Schucht, J. Beck, V.M. Pérez-García -
Optimizing the delivery of combination therapy for tumors: A mathematical model
International Journal of Biomathematics 10 (2017) 1750039
C. Rojas Rodríguez and J. Belmonte-Beitia -
Stochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomas
Communications in Nonlinear Science and Numerical Simulation 49 (2017) 63-80
C. Rojas-Rodríguez, G. Fernández Calvo, I. Ramis-Conde, J. Belmonte-Beitia -
Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model
Discrete and Continuous Dynamical Systems B, 21, 1895-1915 (2016)
C. Rojas-Rodriguez, J. Belmonte-Beitia, V.M. Pérez-García, H. Maurer -
Existence of travelling wave solutions for a Fisher-Kolmogorov system with biomedical applications
Communications in Nonlinear Science and Numerical Simulation 36, 14-20 (2016)
J. Belmonte-Beitia -
Further Development of Spinal Tissue Radiotherapy Retreatment Modelling, with inclusion of Hadrontherapy
Radiotherapy & Oncology, 118, S55 (2016)
J. Belmonte-Beitia, G.F. Calvo, E.A. Gaffney, J. Hopewell, B. Jones, T.E. Woolley -
Nonlinear waves in a simple model of high-grade glioma
Applied Mathematics and Nonlinear Sciences 1(2) (2016) 405-422
A. Álvarez-Arenas, J. Belmonte-Beitia and G.F. Calvo -
Transfer of drug resistance characteristics between cancer cell subpopulations: A study using simple mathematical models.
Bulletin of Mathematical Biology 78, 1218-1237 (2016)
M. Rosa Durán, A. Podolski-Renic, A. Álvarez-Arenas, J. Dinic, J. Belmonte-Beitia, M. Pesic, V. M. Pérez-García -
Delay effects in the response of low grade gliomas to radiotherapy: A mathematical model and its therapeutical implications
Mathematical Medicine and Biology 32, 307-329 (2015)
V.M. Pérez-García, M. Bogdanska, A. Martínez-González, J. Belmonte, P. Shucht, L.A. Pérez-Romasanta -
Effective particle methods for the Fisher-Kolmogorov equations: Theory and applications to brain tumor dynamics
Communications in Nonlinear Science and Numerical Simulation. 19, 3267-3283 (2014)
J. Belmonte-Beitia, G.F. Calvo, V.M. Pérez-García -
On the existence of traveling wave solutions and upper and lower bounds for some Fisher–Kolmogorov type equations
International Journal of Biomathematics 07, 1450050 (2014)
J. Belmonte-Beitia -
Existence of bounds for dark solitons in a class of nonlinear Schrodinger equations: explicit upper and lower bounds.
Mathematical Methods in the Applied Sciences, 36, 8, 974-982 (2013).
J. Belmonte-Beitia -
Mathematical model predicts response to radiotherapy of grade II gliomas
Reports of Practical Oncology and Radiotherapy 18, S63 (2013)
L.A. Pérez-Romasanta, J. Belmonte-Beitia, A. Martínez-González, G.F. Calvo, V.M. Pérez-García -
Modelling biological invasions: Individual to population scales at interfaces
Journal of Theoretical Biology, 334, 1-12 (2013).
J. Belmonte-Beitia, T. Wooley, J. Scott, P.K. Maini, E. Gaffney -
Bright solitary waves in malignant gliomas.
Physical Review E 84, 021921 (2011)
V.M. Pérez-García, G.F. Calvo, J. Belmonte-Beitia, D. Diego, L.A. Pérez-Romasanta -
Existence of dark solitons in a class of stationary nonlinear Schrodinger equations with periodically modulated nonlinearity and periodic asymptotics.
Journal of Mathematical Physics 52, 032702 (2011)
J. Belmonte-Beitia, J. Cuevas -
Existence of solitary waves in nonlinear equations of Schrodinger type
Discrete and Continuous Dynamical Systems- Series S, 4, 1007-1017 (2011)
J. Belmonte-Beitia, V. Prytula -
Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
Communications in nonlinear science and numerical simulations. 16, 158-172 (2011)
J. Belmonte-Beitia, V. Brazhnyy, V.M. Perez-Garcia -
Bifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient
Applicable Analysis, 89, 9, 1335-1350, (2010)
J. Belmonte-Beitia, D. Pelinovsky -
Varias cuestiones sobre la ecuacion de Schrodinger no lineal con coeficientes dependientes del espacio
Boletin SEMA 52, 97-128 (2010)
J. Belmonte-Beitia -
Exact Bright and Dark Spatial Soliton Solutions in Saturable Nonlinear Media
Chaos, Solitons and Fractals, 41, 1791-1798 (2009)
G.F. Calvo, J. Belmonte-Beitia, V.M. Perez-Garcia -
Exact solutions for the quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
Chaos, Solitons and Fractals 41, 1005-1009 (2009)
J. Belmonte-Beitia -
Exact solutions for the quintic nonlinear Schrodinger equation with time and space modulated nonlinearities and potentials
Physics Letters A 373, 448-453 (2009)
J. Belmonte-Beitia, G.F. Calvo. -
Localized and periodic exact solutions to the nonlinear Schrodinger equation with spatially modulated parameters: Linear and nonlinear lattices
Chaos, Solitons and Fractals 41, 1158–1166 (2009)
J. Belmonte-Beitia, V.V. Konotop, V.M. Perez Garcia, V.E. Vekslerchik -
Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
Journal of Nonlinear Science, 19, 437-451 (2009).
J. Belmonte-Beitia, V.M. Perez-Garcia, P.J. Torres -
Solitons for the cubic–quintic nonlinear Schrodinger equation with time- and space-modulated coefficients
J. Phys. A: Math. Theor. 42, 165601 (2009)
J. Belmonte-Beitia, J. Cuevas -
Symmetric and asymmetric bound states for the nonlinear Schrödinger equation with inhomogeneous nonlinearity
J. Phys. A: Mathematical and Theoretical 42, 035208 (2009)
J. Belmonte-Beitia -
A note on radial nonlinear Schrodinger systems with nonlinearity spatially modulated
Electronic Journal of Differential Equations, 148, 1-6 (2008)
J. Belmonte Beitia -
Existence of dark soliton solutions of the cubic nonlinear Schrodinger equation with periodic inhomogeneous nonlinearity
Journal of Nonlinear Mathematical Physics 15, 65-72 (2008)
J. Belmonte-Beitia, P.J. Torres -
Laser tweezers for atomic solitons
Journal of Modern Optics, 55(17), 2819-2829, (2008).
A. V. Carpentier, J. Belmonte-Beitia, H. Michinel, M. I. Rodas-Verde -
Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
Discrete and Continuous Dynamical Systems B, 9, 221-233 (2008)
J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, P. Torres -
Localized nonlinear waves in systems with time- and space-modulated nonlinearities
Physical Review Letters 100, 164102 (2008).
J. Belmonte-Beitia, V.M. Pérez-García, V. Vekslerchik, V.V. Konotop -
On the existence of bright solitons in cubic-quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
Mathematical Problems in Engineering, 935390 (2008)
J. Belmonte-Beitia -
Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
Physical Review Letters 98, 064102 (2007).
J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, P. Torres -
Modulational instability, solitons and periodic waves in models of quantum degenerate Boson-Fermion mixtures
Chaos, Solitons and Fractals, 32, 1268-1277 (2007).
J. Belmonte, V.M. Pérez-García, V. Vekslerchik -
Symbiotic solitons in heteronuclear quantum degenerate mixtures
Physical Review A, 72, 033620 (2005).
V.M. Pérez-García, J. Belmonte
Projects
- Improving New Therapies in Oncology and Related Fields using mathematical models and biomedical data
Ministry of Science and Innovation (National Research Plan) (2023 - 2026) - Mathematical models for the digital transition in neuro-oncology: In-silico design of a clinical trial for glioblastoma.
Ministerio de Ciencia e Innovación (NextGenerationEU) (2023 - 2024) - Validation and transfer of oncological data and biomarkers based on mathematical models (AFTERbioMATH)
Ministry of Science and Innovation (Spain), Proof of Concept Program (2023 - 2024) - Improving cell therapies in neuroblastoma through mathematical modelling
NeN Association (2020 - 2023) - Mathematical models in Oncology
Ministerio de Ciencia e Innovación (Spain) (2020 - 2023) - Modelos Matemáticos en Biología de Sistemas Complejos
Junta de Comunidades de Castilla La Mancha (2020 - 2022)
Belmonte Beitia, Juan
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Graduate in Mathematics (2001) and Physics (2007) at Universidad Complutense de Madrid. PhD in Mathematics (2008) at University of Castilla-La Mancha. His research interests are partial differential equations and their applications to Mathematical Biology |
Publications
- A Mathematical Model for Fibrous Dysplasia: The Role of the Flow of Mutant Cells
Bulletin of Mathematical Biology 86, 108 (2024)
M. Soloviova, J.C. Beltrán-Vargas, L. Fernández De Castro, J. Belmonte-Beitia, V.M. Pérez-García, M. Caballero - Asymptotic dynamics and optimal treatment for a model of tumour resistance to chemotherapy
Applied Mathematical Modelling, 135 (2024), 620-639
Mariusz Bodzioch, Juan Belmonte-Beitia, Urszula Forys - Integrated modeling of labile and glycated hemoglobin with glucose for enhanced diabetes detection and short-term monitoring
iScience. 27(4), 109369 (2024)
Romero-Rosales JA, Aragones DG, Escribano-Serrano J, Borrachero MG, Doña AM, Macías López FJ, Santos Mata MA, Jiménez IN, Casamitjana Zamora MJ, Serrano H, Belmonte-Beitia J, Durán MR, Calvo GF - On the Dynamics and Optimal Control of a Mathematical Model of Neuroblastoma and its Treatment: Insights from a Mathematical Model
M3AS: Mathematical Models and Methods in Applied Sciences 07(34) (2024)
José García Otero, Mariusz Bodzioch, and Juan Belmonte-Beitia - Understanding the role of B cells in CAR T-cell therapy in leukemia through a mathematical model
Chaos 34, 083142 (2024)
S. Serrano, R. Barrio, A. Martínez-Rubio, J. Belmonte-Beitia, V. M. Pérez-García - On the Analysis of a Mathematical Model of CAR-T Cell Therapy for Glioblastoma: Insights from a Mathematical Model
International Journal of Applied Mathematics and Computer Science 33(3), 379-394 (2023)
Bodnar, M ; Forys, U ; Piotrowska, MJ ; Bodzioch, M ; Romero-Rosales, JA; Belmonte-Beitia, J - Dynamics and analysis of a mathematical model of neuroblastoma treated with Celyvir
Applied Mathematical Modelling 110 (2022) 131-148
J. García Otero, A. Alvarez Arenas, J. Belmonte Beitia - A mesoscopic simulator to uncover heterogeneity and evolutionary dynamics in tumors
PLoS Computational Biology 17(2) e1008266 (2021).
J. Jiménez-Sánchez, A. Martínez-Rubio, A. Popov, J. Pérez-Beteta, Y. Azimzade, D. Molina-García, J. Belmonte-Beitia, G.F. Calvo, V.M. Pérez-García - CAR T cell therapy in B-cell acute lymphoblastic leukaemia: Insights from mathematical models
Comm Nonlin Sci Numer Simul 94, 105570 (2021)
O. León-Triana, S. Sabir, G.F. Calvo, J. Belmonte-Beitia, S. Chulian, A. Martínez-Rubio, M. Rosa, A. Pérez-Martínez, M. Ramírez-Orellana, V.M. Pérez-García - Influence of Coating and Size of Magnetic Nanoparticles on Cellular Uptake for In Vitro MRI
Nanomaterials. 11(11), 2888 (2021).
Cortés-Llanos B, Ocampo SM, de la Cueva L, Calvo GF, Belmonte-Beitia J, Pérez L, Salas G, Ayuso-Sacido Á. - Optimal Combinations of Chemotherapy and Radiotherapy in Low-Grade Gliomas: A Mathematical Approach
Journal of Personalized Medicine 2021, 11 (2021) 1036
L. E. Ayala-Hernández, A. Gallegos, P. Schucht, M. Murek, L. A. Pérez-Romasanta, J. Belmonte-Beitia, V. M. Pérez-García - Explicit solutions with non-trivial phase of the inhomogeneous coupled two-component NLS system
Journal of Physics A: Mathematical and Theoretical 53, 015201 (2020)
J. Belmonte-Beitia, F. Gungor, P. Torres - Identification of a transient state during the acquisition of temozolomide resistance in glioblastoma
Cell Death & Disease 11, 19 (2020)
M. Rabe, S. Dummont, A. Álvarez-Arenas Alcami, H. Janati, J. Belmonte-Beitia, G.F. Calvo, C. Thibault-Charpentier, Q. Séry, C. Chauvin, N. Joalland, F. Briand, E. Scotet, C. Pecqueur, J. Clairambault, L. Oliver, A. Nadaradjane, V.M. Pérez-García, P. François Cartron, C. Gratas, F.M. Vallette - Mitochondria transfer from tumor-activated stromal cells (TASCs) to primary Glioblastoma cells.
Biochemical and Biophysical Research Communications 533(1) 139-147 (2020)
C. Salaud, A. Alvarez-Arenas Alcami, F. Geraldo, J. Belmonte-Beitia, G.F. Calvo, C. Gratas, C. Pecqueur, D. Garnier, V.M. Pérez- García, F.M. Vallette, L. Oliver - Modelling the role of flux density and coating on nanoparticle internalization by tumor cells under centrifugation
Applied Mathematical Modelling, 78 (2020) 98-116
G.F. Calvo, B. Cortes-Llanos, J. Belmonte-Beitia, Gorka Salas, A. Ayuso-Sacido - Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: A mathematical model
Mathematical Modelling of Natural Phenomena 15, 10 (2020)
J. Pérez Beteta, J. Belmonte-Beitia, V.M. Pérez-García - Universal scaling laws rule explosive growth in human cancers
Nature Physics 16, 1232-1237 (2020)
V.M. Pérez-García, G.F. Calvo, J.J. Bosque, O. León-Triana, J. Jiménez-Sánchez, J. Pérez-Beteta, J. Belmonte-Beitia, M. Valiente, L. Zhu, P. García-Gómez, P. Sánchez-Gómez, E. Hernández, R. Hortigüela, Y. Azimzade, D. Molina-García, A.Martínez-Rubio, A. Acosta, A. Ortiz de Mendivil, F. Vallette, P. Schucht, M. Murek, M.Pérez-Cano, D.Albillo, AF Honguero, G.A. Jiménez, E. Arana, AM García-Vicente - Computational design of improved standardized chemotherapy protocols for grade II oligodendrogliomas.
PLOS Computational Biology 15(7) (2019) e1006778
V.M. Pérez-García, L.E. Ayala-Hernández, J. Belmonte-Beitia, P. Schucht, M. Murek, A. Raabe - Interplay of Darwinian Selection, Lamarckian Induction and Microvesicle Transfer on Drug Resistance in Cancer.
Scientific Reports 9:9332 (2019)
A. Alvarez-Arenas, A. Podolski-Renic, J. Belmonte-Beitia, M. Pesic, G.F. Calvo - Radiation protraction schedules for low-grade gliomas: A comparison between different mathematical models
Journal of the Royal Society of Interface 16, 20190665 (2019)
I. Budia, A. Álvarez-Arenas, T.E. Wooley, G.F. Calvo, J. Belmonte-Beitia - Ultimate dynamics and optimal control of a multi-compartment model of tumor resistance to chemotherapy
Discrete and Continuous Dynamical Systems B 24(5) 2017-2038 (2019)
A. Alvarez-Arenas, K.E. Starkov, G.F. Calvo, J. Belmonte-Beitia - Changes in the retreatment radiation tolerance of the spinal cord with time after the initial treatment
International Journal of Radiation Biology 94:6, 515-531 (2018)
T.E. Wooley, J. Belmonte-Beitia, G.F. Calvo, J.W. Hopewell, E.A. Gaffney and B. Jones - Labile Hemoglobin as a Glycemic Biomarker for Patient-Specific Monitoring of Diabetes: Mathematical Modelling Approach
Journal of the Royal Society Interface, 15(142), 20180224 (2018)
O. León-Triana, G.F. Calvo, J. Belmonte-Beitia, M. Rosa Durán, J. Escribano-Serrano, A. Michan-Doña, V.M. Pérez-García - Optimal control problems for differential equations applied to tumor growth: state of the art.
Applied Mathematics and Nonlinear Sciences, 3(2), 15-41, (2018)
C. Rojas, J. Belmonte-Beitia - A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications
Mathematical Biosciences 288 (2017) 1-13
M.U. Bogdanska, M. Bodnar, J. Belmonte-Beitia, M. Murek, P. Schucht, J. Beck, V.M. Pérez-García - Optimizing the delivery of combination therapy for tumors: A mathematical model
International Journal of Biomathematics 10 (2017) 1750039
C. Rojas Rodríguez and J. Belmonte-Beitia - Stochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomas
Communications in Nonlinear Science and Numerical Simulation 49 (2017) 63-80
C. Rojas-Rodríguez, G. Fernández Calvo, I. Ramis-Conde, J. Belmonte-Beitia - Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model
Discrete and Continuous Dynamical Systems B, 21, 1895-1915 (2016)
C. Rojas-Rodriguez, J. Belmonte-Beitia, V.M. Pérez-García, H. Maurer - Existence of travelling wave solutions for a Fisher-Kolmogorov system with biomedical applications
Communications in Nonlinear Science and Numerical Simulation 36, 14-20 (2016)
J. Belmonte-Beitia - Further Development of Spinal Tissue Radiotherapy Retreatment Modelling, with inclusion of Hadrontherapy
Radiotherapy & Oncology, 118, S55 (2016)
J. Belmonte-Beitia, G.F. Calvo, E.A. Gaffney, J. Hopewell, B. Jones, T.E. Woolley - Nonlinear waves in a simple model of high-grade glioma
Applied Mathematics and Nonlinear Sciences 1(2) (2016) 405-422
A. Álvarez-Arenas, J. Belmonte-Beitia and G.F. Calvo - Transfer of drug resistance characteristics between cancer cell subpopulations: A study using simple mathematical models.
Bulletin of Mathematical Biology 78, 1218-1237 (2016)
M. Rosa Durán, A. Podolski-Renic, A. Álvarez-Arenas, J. Dinic, J. Belmonte-Beitia, M. Pesic, V. M. Pérez-García - Delay effects in the response of low grade gliomas to radiotherapy: A mathematical model and its therapeutical implications
Mathematical Medicine and Biology 32, 307-329 (2015)
V.M. Pérez-García, M. Bogdanska, A. Martínez-González, J. Belmonte, P. Shucht, L.A. Pérez-Romasanta - Effective particle methods for the Fisher-Kolmogorov equations: Theory and applications to brain tumor dynamics
Communications in Nonlinear Science and Numerical Simulation. 19, 3267-3283 (2014)
J. Belmonte-Beitia, G.F. Calvo, V.M. Pérez-García - On the existence of traveling wave solutions and upper and lower bounds for some Fisher–Kolmogorov type equations
International Journal of Biomathematics 07, 1450050 (2014)
J. Belmonte-Beitia - Existence of bounds for dark solitons in a class of nonlinear Schrodinger equations: explicit upper and lower bounds.
Mathematical Methods in the Applied Sciences, 36, 8, 974-982 (2013).
J. Belmonte-Beitia - Mathematical model predicts response to radiotherapy of grade II gliomas
Reports of Practical Oncology and Radiotherapy 18, S63 (2013)
L.A. Pérez-Romasanta, J. Belmonte-Beitia, A. Martínez-González, G.F. Calvo, V.M. Pérez-García - Modelling biological invasions: Individual to population scales at interfaces
Journal of Theoretical Biology, 334, 1-12 (2013).
J. Belmonte-Beitia, T. Wooley, J. Scott, P.K. Maini, E. Gaffney - Bright solitary waves in malignant gliomas.
Physical Review E 84, 021921 (2011)
V.M. Pérez-García, G.F. Calvo, J. Belmonte-Beitia, D. Diego, L.A. Pérez-Romasanta - Existence of dark solitons in a class of stationary nonlinear Schrodinger equations with periodically modulated nonlinearity and periodic asymptotics.
Journal of Mathematical Physics 52, 032702 (2011)
J. Belmonte-Beitia, J. Cuevas - Existence of solitary waves in nonlinear equations of Schrodinger type
Discrete and Continuous Dynamical Systems- Series S, 4, 1007-1017 (2011)
J. Belmonte-Beitia, V. Prytula - Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
Communications in nonlinear science and numerical simulations. 16, 158-172 (2011)
J. Belmonte-Beitia, V. Brazhnyy, V.M. Perez-Garcia - Bifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient
Applicable Analysis, 89, 9, 1335-1350, (2010)
J. Belmonte-Beitia, D. Pelinovsky - Varias cuestiones sobre la ecuacion de Schrodinger no lineal con coeficientes dependientes del espacio
Boletin SEMA 52, 97-128 (2010)
J. Belmonte-Beitia - Exact Bright and Dark Spatial Soliton Solutions in Saturable Nonlinear Media
Chaos, Solitons and Fractals, 41, 1791-1798 (2009)
G.F. Calvo, J. Belmonte-Beitia, V.M. Perez-Garcia - Exact solutions for the quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
Chaos, Solitons and Fractals 41, 1005-1009 (2009)
J. Belmonte-Beitia - Exact solutions for the quintic nonlinear Schrodinger equation with time and space modulated nonlinearities and potentials
Physics Letters A 373, 448-453 (2009)
J. Belmonte-Beitia, G.F. Calvo. - Localized and periodic exact solutions to the nonlinear Schrodinger equation with spatially modulated parameters: Linear and nonlinear lattices
Chaos, Solitons and Fractals 41, 1158–1166 (2009)
J. Belmonte-Beitia, V.V. Konotop, V.M. Perez Garcia, V.E. Vekslerchik - Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
Journal of Nonlinear Science, 19, 437-451 (2009).
J. Belmonte-Beitia, V.M. Perez-Garcia, P.J. Torres - Solitons for the cubic–quintic nonlinear Schrodinger equation with time- and space-modulated coefficients
J. Phys. A: Math. Theor. 42, 165601 (2009)
J. Belmonte-Beitia, J. Cuevas - Symmetric and asymmetric bound states for the nonlinear Schrödinger equation with inhomogeneous nonlinearity
J. Phys. A: Mathematical and Theoretical 42, 035208 (2009)
J. Belmonte-Beitia - A note on radial nonlinear Schrodinger systems with nonlinearity spatially modulated
Electronic Journal of Differential Equations, 148, 1-6 (2008)
J. Belmonte Beitia - Existence of dark soliton solutions of the cubic nonlinear Schrodinger equation with periodic inhomogeneous nonlinearity
Journal of Nonlinear Mathematical Physics 15, 65-72 (2008)
J. Belmonte-Beitia, P.J. Torres - Laser tweezers for atomic solitons
Journal of Modern Optics, 55(17), 2819-2829, (2008).
A. V. Carpentier, J. Belmonte-Beitia, H. Michinel, M. I. Rodas-Verde - Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
Discrete and Continuous Dynamical Systems B, 9, 221-233 (2008)
J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, P. Torres - Localized nonlinear waves in systems with time- and space-modulated nonlinearities
Physical Review Letters 100, 164102 (2008).
J. Belmonte-Beitia, V.M. Pérez-García, V. Vekslerchik, V.V. Konotop - On the existence of bright solitons in cubic-quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
Mathematical Problems in Engineering, 935390 (2008)
J. Belmonte-Beitia - Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
Physical Review Letters 98, 064102 (2007).
J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, P. Torres - Modulational instability, solitons and periodic waves in models of quantum degenerate Boson-Fermion mixtures
Chaos, Solitons and Fractals, 32, 1268-1277 (2007).
J. Belmonte, V.M. Pérez-García, V. Vekslerchik - Symbiotic solitons in heteronuclear quantum degenerate mixtures
Physical Review A, 72, 033620 (2005).
V.M. Pérez-García, J. Belmonte
Projects
- Improving New Therapies in Oncology and Related Fields using mathematical models and biomedical data
Ministry of Science and Innovation (National Research Plan) (2023 - 2026) - Mathematical models for the digital transition in neuro-oncology: In-silico design of a clinical trial for glioblastoma.
Ministerio de Ciencia e Innovación (NextGenerationEU) (2023 - 2024) - Validation and transfer of oncological data and biomarkers based on mathematical models (AFTERbioMATH)
Ministry of Science and Innovation (Spain), Proof of Concept Program (2023 - 2024) - Improving cell therapies in neuroblastoma through mathematical modelling
NeN Association (2020 - 2023) - Mathematical models in Oncology
Ministerio de Ciencia e Innovación (Spain) (2020 - 2023) - Modelos Matemáticos en Biología de Sistemas Complejos
Junta de Comunidades de Castilla La Mancha (2020 - 2022)
