EM2: MathMed

The group is made up of a multidisciplinary team and they have extensive experience in Biomathematics (mathematical models in cancer, resistance, diabetes and other pathologies). Their work and studies focus on the development of mathematical models and tools for the design of new therapies and/or or the optimization of others already existing in the treatment of tumors of the central nervous system, lungs and leukemias. The team collaborates with the MôLAB (Mathematical Oncology Laboratory) Research Group of the University of Castilla La-Mancha, a pioneer in this field.

Dr. Cristina Blázquez, graduate in medicine and surgery (Hematology and Hemotherapy Specialty). She has completed an intensive course on Acute Leukemias at the MD Anderson Cancer Center (Houston, Texas). She has been in charge of Pediatric Hematology at the Hospital de Jerez for more than 10 years.

Juan Francisco Rodríguez, a biologist specializing in immunology, has carried out studies on immunological markers by flow cytometry. He has extensive experience in the handling and processing of biological samples, as well as in the identification of different leukocyte populations by flow cytometry.

Salvador Chulián graduated in Mathematics, with a Master's in Mathematical Research. With experience in mathematical and biomathematical oncology, he is a researcher at the University of Cádiz for the design of data-based biomarkers and evolutionary models of tumor dynamics. Álvaro Martínez is a graduate in Physics with a Master's in Applied Mathematics, a researcher at the University of Cádiz for the development of leukemia models.

The main researcher of the team is a doctor in Mathematics. She has received an Extraordinary Doctorate in Science Award for her thesis “Analysis of Mathematical Models of Tumor Growth”. She has extensive experience in the field of Mathematical Oncology and has an excellent track record of international collaboration. She participates in an international project (Therapy Optimization in Glioblastoma) funded by the James S. Mc. Donnel Foundation (USA).

• Research in biomedical problems, related to hematology, tumors, resistance to treatments and diabetes (related to the glycation kinetics of hemoglobin in blood).
• The objective of this group is to use mathematical tools to obtain results of applicability in Onco-Hematology and diabetes. We will develop several mathematical models that describe the dynamics of different types of blood cancer and their response to treatment. We will validate them using data from the integrated diagnosis of affected patients as well as data from experimental models, and use them to design optimized therapeutic strategies. In the case of diabetes, we will work on the development of a mathematical model that describes the glycation process of hemoglobin. We will look for new alternative markers of interest to identify possible pathologies related to diabetes and to monitor the evolution of the disease.
• From the mathematical point of view, our methodology will combine the use and study of ordinary differential equations and partial derivatives, numerical simulation, data analysis techniques, statistical tools and optimization methods.

Biomathematics Leukemia Cancer Diabetes Markers Mathematical modeling

• Principal Investigators:
  • María Rosa Durán (PI).
  • Cristina Blázquez Goñi (Co-PI).
• Postdoctoral Researchers:
  • Salvador Chulián García.
• Predoctoral Researchers:
  • Álvaro Martínez Rubio.
  • Ana del Rosario Niño López.
• Assistance Researchers:
  • José Francisco Rodríguez Gutiérrez.

• Organismo convocante Precipita Activando la Ciencia Colectiva, FECYT (Fundación Española para la Ciencia y Tecnología) 2018. (Cod. PR214). PI: María Rosa Durán. Project name: Recaída 0: Matemáticas contra la leucemia infantil.

• Organismo convocante Junta de Andalucía, Proyectos de investigación en salud. (ITI-0038-2019). PI: María Rosa Durán. Project name: R: Identificación temprana de recidiva y optimización de tratamientos en LLA mediante modelización y análisis discriminante.

1. Álvaro Martínez-Rubio, Salvador Chulián, Cristina Blázquez Goñi, Manuel Ramírez Orellana, Antonio Pérez Martínez, Alfonso Navarro-Zapata, Cristina Ferreras, Victor M Pérez-García, María Rosa. A Mathematical Description of the Bone Marrow Dynamics during CAR T-Cell Therapy in B-Cell Childhood Acute Lymphoblastic Leukemia, International Journal of Molecular Sciences, 22(12), 6371. JCR: Biochemistry and Molecular Biology Q1/T1/D2 (67/295). Impact Factor 5.924. (*). Complies with the INIBICA affiliation regulations.
2. Odelaisy León-Triana, Soukaina Sabir, Gabriel F Calvo, Juan Belmonte-Beitia, Salvador Chulián, Álvaro Martínez-Rubio, María Rosa, Antonio Pérez-Martínez, Manuel Ramirez-Orellana, Víctor M Pérez-García. CAR T cell therapy in B-cell acute lymphoblastic leukaemia: Insights from mathematical models. Communications in Nonlinear Science and Numerical Simulation. 94, pp.105570. JCR: Mathematics Applied Q1/T1/D1 (5/265). Impact Factor 4.260. Complies with the INIBICA affiliation regulations.
3. Salvador Chulián, Álvaro Martínez-Rubio, Víctor M Pérez-García, María Rosa, Cristina Blázquez Goñi, Juan Francisco Rodríguez Gutiérrez, Lourdes Hermosín-Ramos, Águeda Molinos Quintana, Teresa Caballero-Velázquez, Manuel Ramírez-Orellana, Ana Castillo Robleda, Juan Luis Fernández-Martínez . Cancers, 13(1), 17. High-Dimensional Analysis of Single-Cell Flow Cytometry Data Predicts Relapse in Childhood Acute Lymphoblastic Leukaemia. JCR: Oncology Q1/T1/D2 (51/242). Impact Factor 6.639. (*). Complies with the INIBICA affiliation regulations.
4. Salvador Chulián, Álvaro Martínez-Rubio, Anna Marciniak-Czochra, Thomas Stiehl, Cristina Blázquez Goñi, Juan Francisco Rodríguez Gutiérrez, Manuel Ramírez Orellana, Ana Castillo Robleda, Víctor M. Pérez-García, María Rosa. Dynamical properties of feedback signalling in B lymphopoiesis: A mathematical modelling approach. Journal of Theoretical Biology. 522, pp.110685. JCR: Mathematical and computational biology Q2/T2/D3 (20/58). Impact Factor 2.691. (*). Complies with the INIBICA affiliation regulations.
5. Salvador Chulián, María Luz Gandarias, Álvaro Martínez-Rubio, María Rosa. Lie point symmetries for generalised Fisher’s equations describing tumour dynamics. Mathematical Biosciences and Engineering, 18(4), 3291-3312. JCR: Mathematical & Computational Biology Q3/T2/D6 (37/58). Impact Factor 2.080. Complies with the INIBICA affiliation regulations.
6. Víctor M. Pérez-García, Odelaisy León-Triana, María Rosa, Antonio Pérez-Martínez. CAR T cells for T-cell leukemias: Insights from mathematical models. Communications in Nonlinear Science and Numerical Simulation, 96, 105684. JCR: Mathematics Applied Q1/T1/D1 (5/265). Impact Factor 4.260. (*). Complies with the INIBICA affiliation regulations.
7. Juan Jiménez-Sánchez, Álvaro Martínez-Rubio, Anton Popov, Julián Pérez-Beteta, Youness Azimzade, David Molina-García, Juan Belmonte-Beitia, Gabriel F Calvo, Víctor M Pérez-García. A mesoscopic simulator to uncover heterogeneity and evolutionary dynamics in tumors. PLOS Computational Biology, 17(2), e1008266. JCR: Mathematical & Computational Biology Q1/D2 (8/58). Impact Factor 4.475.
8. Juan Jiménez-Sánchez, Jesús J Bosque, Germán A Jiménez Londoño, David Molina-García, Álvaro Martínez, Julián Pérez-Beteta, Carmen Ortega-Sabater, Antonio F Honguero Martínez, Ana M García Vicente, Gabriel F Calvo, Víctor M Pérez-García. Evolutionary dynamics at the tumor edge reveal metabolic imaging biomarkers. Proceedings of the National Academy of Sciences, 118(6), e2018110118. JCR: Interdisciplinary Sciences Q1/D2 (8/72). Impact Factor 10.700.

1. Authors: : S. Chulián, M. Rosa, M.L. Gandarias. Title: Reductions and symmetries for a generalized Fisher equation with a diffusion term dependent on density and space. Journal: Journal of Computational and Applied Mathematics. Volume:. 354. Start and end pages: 689-698. Year of publication: 2018. Signs of quality. Impact-Factor: 1.632. Quartile/Decile: Q1. DOI: 10.1016/j.cam.2018.11.018.
2. Authors: M. Rosa, J.C. Camacho, M.S. Bruzón, M.L. Gandarias. Title: Conservation laws, symmetries, and exact solutions of the classical Burgers-Fisher equation in two dimensions. Journal: Journal of Computational and Applied Mathematics. Volume:354. Start and end pages:545-550. Year of publication: 2018. Signs of quality. Impact-Factor: 1.632. Quartile/Decile: Q1. DOI: 10.1016/j.cam.2018.11.018.
3. Authors: O. León, G.F. Calvo, J. Belmonte, M. Rosa, A. Michán, J. Escribano, V.M. Pérez Title: Labile Hemoglobin as a Glycemic Biomarker for patient-specific Monitoring of Diabetes: Mathematical ModellingApproach. Journal: Journal of the Royal Society Interface Volume:. 15. Start and end pages:. 20180224. Year of publication: 2018. Signs of quality. Impact-factor: 3.579, Quartile/Decile: Q1.
4. Authors: M. Rosa, J.C. Camacho, M.S. Bruzón, M.L. Gandarias Title: Lie symmetries and conservation laws for a generalized Kuramoto- Sivashinsky equation. Journal: Mathematical Methods in the Applied Sciences. Volume:41. Start and end pages: 7295-7303. Year of publication: 2018. Signs of quality. Impact-factor: 1.18, Quartile/Decile: Q2.
5. Authors: M.L. Gandarias, M. Rosa, R. Tracina. Title: Symmetry analysis for a Fisher equation with exponential diffusion. Journal: Mathematical Methods in the Applied Sciences, Volume: 41. Start and end pages: 7214-7226. Year of publication: 2018. Signs of quality. Impact-factor: 1.18. Quartile/Decile: Q2. DOI: https://doi.org/10.1002/mma.4803.
6. Authors: J.C. Camacho, M. Rosa, M.L. Gandarias, M.S. Bruzón Title: Classical symmetries and conservation laws for the dissipative Dullin-Goltwald-Holm equation with arbitrary coefficients. Journal: Mathematical Methods in the Applied Sciences, Accepted Volume: 41. Start and end pages: 7304-7312. Year of publication: 2018. Signs of quality. Impact-factor: 1.18, Quartile/Decile: Q2. DOI: https://doi.org/10.1002/mma.4826.
7. Authors: : S. Anco, M. Rosa, M.L. Gandarias Title: Conversation laws and symmetries of time-dependent generalized Kdv equations. Publicada en arXiv:1705.04999v1 [math-ph] 14 May 2017. Journal: Discrete and continuous dynamical systems-series S, Volume: 11 (4). Start and end pages:607-615 Year of publication: 2018. Signs of quality. Impact-Factor: 0.781, Quartile/Decile: Q3.

1. Authors: : M.L. Gandarias, R. de la Rosa, M. Rosa, Title: Conservation laws for a strongly damped wave equation. Journal: Open Physics, Volume: 15. Start and end pages: 300-305. Year of publication: 2017. Category: Physics, Multidisciplinary, Signs of quality. Impact-Factor: 0.745. Quartile/Decile: Q3.

1. Authors: : M. Rosa, J.C. Camacho, M.S. Bruzón, M.L. Gandarias. Title: Classical and potential symmetries for a generalized Fisher equation. Journal: Journal of Computational and Applied Mathematics. Volume: 318, Start and end pages: 181-188. Year of publication: 2016. Signs of quality. Impact-factor: 1.357, Quartile/Decile: Q1. ISSN:0377-0427 /li>
2. Authors: : J.C. Camacho, M. Rosa, M.L. Gandarias, M.S. Bruzón, Title: Classical symmetries travelling wave solutions and conservation laws of a generalized Fornberg-Whitham. Journal: Journal of Computational and Applied Mathematics. Volume: 318, Start and end pages: 149-155. Year of publication: 2016. Signs of quality. Impact-factor: 1.357, Quartile/Decile: 63/255, Q1. ISSN:0377-0427.
3. Authors: : M. Rosa Durán, A. Podolski-Renic, A. Álvarez-Arenas, J. Dinic, J. Belmonte-Beitia, M. Pesic, V. M. Pérez-García. Title: Transfer of drug resistance characteristics between cancer cell subpopulations: A study using simple mathematical models. Journal: Bulletin of Mathematical Biology. Volume: 78, Start and end pages: 1218-1237. Year of publication: 2016. Signs of quality. Impact-factor: 1.263, Quartile/Decile: Q3. ISSN: 0092-8240.
4. Authors: : M.L. Gandarias, M. Rosa. Title: On double reductions from symmetries and conservation laws for a damped Boussinesq equation. Journal: Chaos Solitons & Fractals. Volume: 89, Start and end pages: 560-565. Year of publication: 2016. Signs of quality. Impact-factor: 1.611, Quartile/Decile: Q2, T1. ISSN: 0960-0779.
5. Authors: : M.L. Gandarias, M. Rosa. Title: Symmetries and Conservation laws of a damped Boussinesq equation. Journal: Modern Physics Letters B. Volume: 30, Nos. 28 & 29 1640012. Year of publication: 2016. Signs of quality. Impact-factor: 0.617, Quartile/Decile: Q4. ISSN: 0217-9849.

1. Authors: : M. Rosa, M. S. Bruzón, M.L Gandarias. Title: Lie symmetries and conservaton laws of a Fisher equation with nonlinear convection term. Journal: Discrete and Continuous Systems-Series S. Volume: 8, Start and end pages: 1331-1339, Year of publication: 2015. Signs of quality. Impact-factor: 0.737, Quartile/Decile: 146/254, Q3. ISSN: 1937-1632.
2. Authors: : M.L. Gandarias, M. S. Bruzón, M. Rosa. Title: Symmetries and Conservation laws for some compacton equation. Journal: Mathematical Problems in Engineering, Volume: 2015, ID 430823, Year of publication: 2015. Signs of quality. Impact-factor: 0.762, Quartile/Decile: Q3.
3. Authors: : M. Rosa, M. S. Bruzón, M.L. Gandarias. Title: Symmetry analysis and exact solutions for a generalized Fisher equation in cylindrical coordinates. Journal: Commun Nonlinear Sci Numer Simulat. Volume: 25, Start and end pages: 74-83, Year of publication: 2015. Signs of quality. Impact-factor: 2.834, Quartile/Decile: Q1. ISSN: 1007-5704.
4. Authors: : M. Rosa, M. S. Bruzón, M.L Gandarias. Title: Lie Symmetry Analysis and Conservation Laws for a Fisher Equation with Variable Coefficients. Journal: Appl. Math. Inf. Sci. Volume: 9, No. 6, Start and end pages: 1-11, Year of publication: 2015. Signs of quality. Impact-factor: 1.232, Quartile/Decile: Q1. ISSN: 1935-0090.
5. Authors: : M. Rosa, M. S. Bruzón, M.L. Gandarias. Title: A conservation law for a generalized chemical Fisher equation. Journal: Journal of Mathematical Chemistry, Springer. Volume: 53, Start and end pages: 941- 948, Year of publication: 2015. Signs of quality. Impact-factor: 1.145, Quartile/Decile: Q2. ISSN: 0259-9791.
6. Authors: : M.L. Gandarias, M. S. Bruzón, M. Rosa. Title: Nonlinear self-adjointness for a generalized Fisher equation in cylindrical coordinates. Journal: Journal of Applied Nonlinear Dynamics. Volume: 4, Start and end pages: 91-100, Year of publication: 2015. ISNN: 2164-6457. DOI: 10.5890/JAND.2015.03.008.

• Red Andaluza de tearapias CAR Red RANTECAR). NATIONAL/INTERNATIONAL/REGIONAL: Autonómica. PRINCIPAL INVESTIGATOR: María Rosa Durán. FUNDING ENTITY/PROGRAM: Fundación Pública Andaluza para la Gestión de la Investigación en Salud de Sevilla. CENTER: Hospital Universitario Virgen del Rocío.