Associate Professor
Department of Mathematical Sciences (DISMA)
Profile
Research interests
Biography
CAREER SUMMARY I completed my Ph.D. in Applied Mathematics in 2013 at the Politecnico di Torino. Upon completion of my Ph.D., I was awarded a postdoctoral research fellowship in Mathematics from the Fondation Sciences Mathématiques de Paris, which I held at the Sorbonne Université. In 2014 I obtained a postdoctoral research fellowship in Mathematics for the Life Sciences from the Fondation Mathématique Jacques Hadamard, which I held at the École Normale Supérieure Paris-Saclay. From October 2015 to February 2020, I was a research fellow in Applied Mathematics at the University of St Andrews. Since March 2020, I have been an associate professor of Mathematical Physics at the Politecnico di Torino. I am currently a member of the board of the European Society for Mathematical and Theoretical Biology. RESEARCH SYNOPSIS I work in mathematical biology. The focus of my research is on the development, analysis and numerical simulation of deterministic models formulated as partial differential equations, or partial integro-differential equations, and corresponding stochastic individual-based models. These models complement empirical research by enabling extrapolation beyond scenarios which can be investigated through experiments and by revealing emergent phenomena that would otherwise remain unobserved. Moreover, they pose a series of analytical and numerical challenges which make them interesting mathematical objects per se. I collaborate with researchers in the natural sciences. My current research interests include mathematical models of evolutionary dynamics, cell movement, tissue development, tumour growth and invasion, and immune response to cancer.
Scientific branch
(Area 0001 - Mathematical and computer sciences)
Skills
ERC sectors
SDG
Awards and Honors
- Bourse post-doctorale en mathématiques et en informatique fondamentale de la Fondation Sciences Mathématiques de Paris conferred by Fondation Sciences Mathématiques de Paris, Francia (2013)
- Bourse post-doctorale en mathématiques pour les sciences de la vie de la Fondation Sciences Mathématiques de Paris conferred by Fondation Sciences Mathématiques de Paris, Francia (2014)
- Premio INDAM SIMAI UMI 2014 per Tesi di Dottorato in Scienze Matematiche conferred by INDAM SIMAI UMI, Italy (2016)
Fellowships
- Steering Committe member - European Society for Mathematical and Theoretical Biology (ESMTB), Francia (2022-2026)
Editorial boards
- PHYSICA D-NONLINEAR PHENOMENA (2022-), Editorial board member
Other research or teaching roles outside Politecnico
- Ricercatore, presso University of St Andrews (12/10/2015-28/2/2020)
- Ricercatore, presso Ecole Normale Superieure de Cachan (1/11/2014-1/10/2015)
- Ricercatore, presso Université Pierre et Marie Curie (1/11/2013-31/10/2014)
Teaching
Courses of Study Boards
- Collegio di Architettura. Componente
- Collegio di Ingegneria Informatica, del Cinema e Meccatronica. Componente invitato
- Collegio di Ingegneria Matematica. Componente invitato
Teachings
PhD
- MODELLI ALLE DERIVATE PARZIALI IN BIOLOGIA. A.A. 2022/23, MATEMATICA PURA E APPLICATA. Main teacher
- MODELLI MATEMATICI PER IL MOVIMENTO CELLULARE E LA CRESCITA TISSUTALE. A.A. 2022/23, MATEMATICA PURA E APPLICATA. Main teacher
Bachelor of Science
- Atelier Città e Territorio B (modulo di Probabilità e statistica matematica). A.A. 2023/24, ARCHITETTURA. Titolare del corso
- Atelier Città e Territorio C (modulo di Probabilità e statistica matematica). A.A. 2023/24, ARCHITETTURA. Titolare del corso
- Atelier Città e Territorio F (modulo di Probabilità e statistica matematica). A.A. 2023/24, ARCHITETTURA. Titolare del corso
- Metodi matematici per l'ingegneria. A.A. 2023/24, INGEGNERIA INFORMATICA. Collaboratore del corso
- Equazioni della fisica matematica. A.A. 2023/24, MATEMATICA PER L'INGEGNERIA. Collaboratore del corso
- Atelier Città e Territorio B (modulo di Probabilità e statistica matematica). A.A. 2022/23, ARCHITETTURA. Titolare del corso
- Atelier Città e Territorio C (modulo di Probabilità e statistica matematica). A.A. 2022/23, ARCHITETTURA. Titolare del corso
- Atelier Città e Territorio F (modulo di Probabilità e statistica matematica). A.A. 2022/23, ARCHITETTURA. Titolare del corso
- Metodi matematici per l'ingegneria. A.A. 2022/23, INGEGNERIA INFORMATICA. Titolare del corso
- Equazioni della fisica matematica. A.A. 2022/23, MATEMATICA PER L'INGEGNERIA. Collaboratore del corso
- Atelier Città e Territorio B (modulo di Probabilità e statistica matematica). A.A. 2021/22, ARCHITETTURA. Titolare del corso
- Atelier Città e Territorio C (modulo di Probabilità e statistica matematica). A.A. 2021/22, ARCHITETTURA. Titolare del corso
- Linear algebra and geometry. A.A. 2021/22, INGEGNERIA DELL'AUTOVEICOLO (AUTOMOTIVE ENGINEERING). Collaboratore del corso
- Metodi matematici per l'ingegneria. A.A. 2021/22, INGEGNERIA INFORMATICA. Collaboratore del corso
- Equazioni della fisica matematica. A.A. 2021/22, MATEMATICA PER L'INGEGNERIA. Collaboratore del corso
- Algebra lineare e geometria. A.A. 2020/21, INGEGNERIA AEROSPAZIALE. Collaboratore del corso
- Equazioni della fisica matematica. A.A. 2020/21, MATEMATICA PER L'INGEGNERIA. Collaboratore del corso
- Meccanica razionale. A.A. 2020/21, INGEGNERIA CIVILE. Titolare del corso
- Algebra lineare e geometria. A.A. 2019/20, INGEGNERIA AEROSPAZIALE. Collaboratore del corso
Research
Research fields
Research groups
Research projects
Projects funded by competitive calls
- ANATOMY - A Unitary Mathematical Framework for Modelling Muscular Dystrophies , (2023-2025) - Responsabile Scientifico
Nationally funded research - PRIN
Supervised PhD students
- Emanuele Bernardi. Programme in Matematica Pura E Applicata (38th cycle, 2022-in progress)
- Elisa Paparelli. Programme in Matematica Pura E Applicata (37th cycle, 2021-in progress)
Publications
Publications by type
Last years publications View all publications in Porto@Iris
- Doukkali, Al; Lorenzi, T; Parcell, Bj; Rohn, Jl; Bowness, R (2023)
A hybrid individual-based mathematical model to study bladder infections. In: FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, vol. 9, pp. 1-15. ISSN 2297-4687
Contributo su Rivista - Almeida, Luis; Audebert, Chloe; Leschiera, Emma; Lorenzi, Tommaso (2022)
A Hybrid Discrete-Continuum Modelling Approach to Explore the Impact of T-Cell Infiltration on Anti-tumour Immune Response. In: BULLETIN OF MATHEMATICAL BIOLOGY, vol. 84. ISSN 0092-8240
Contributo su Rivista - Lorenzi, T.; Painter, K. J. (2022)
Trade-offs between chemotaxis and proliferation shape the phenotypic structuring of invading waves. In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 139. ISSN 0020-7462
Contributo su Rivista - Macfarlane, Fiona R; Ruan, Xinran; Lorenzi, Tommaso (2022)
Individual-based and continuum models of phenotypically heterogeneous growing cell populations. In: AIMS BIOENGINEERING, vol. 9, pp. 68-92. ISSN 2375-1495
Contributo su Rivista - Almeida, Luís; Audebert, Chloe; Leschiera, Emma; Lorenzi, Tommaso (2022)
Discrete and continuum models for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes and tumour cells. In: MATHEMATICAL MEDICINE AND BIOLOGY, vol. 40, pp. 141-174. ISSN 1477-8599
Contributo su Rivista - Leschiera, E.; Lorenzi, T.; Shen, S.; Almeida, L.; Audebert, C. (2022)
A mathematical model to study the impact of intra-tumour heterogeneity on anti-tumour CD8+ T cell immune response. In: JOURNAL OF THEORETICAL BIOLOGY, vol. 538. ISSN 0022-5193
Contributo su Rivista - Lorenzi, T. (2022)
Cancer modelling as fertile ground for new mathematical challenges. In: PHYSICS OF LIFE REVIEWS, vol. 40, pp. 3-5. ISSN 1571-0645
Contributo su Rivista - Macfarlane, Fiona R.; Lorenzi, Tommaso; Painter, Kevin J. (2022)
The Impact of Phenotypic Heterogeneity on Chemotactic Self-Organisation. In: BULLETIN OF MATHEMATICAL BIOLOGY, vol. 84. ISSN 0092-8240
Contributo su Rivista - Giverso, C.; Lorenzi, T.; Preziosi, L. (2022)
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes. In: APPLIED MATHEMATICS LETTERS, vol. 125. ISSN 0893-9659
Contributo su Rivista - Colson, Chloé; Sánchez-Garduño, Faustino; Byrne, Helen M; Maini, Philip K; Lorenzi, ... (2021)
Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion. In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A, vol. 477. ISSN 1364-5021
Contributo su Rivista - Lorenzi, T.; Pugliese, A.; Sensi, M.; Zardini, A. (2021)
Evolutionary dynamics in an SI epidemic model with phenotype-structured susceptible compartment. In: JOURNAL OF MATHEMATICAL BIOLOGY, vol. 83. ISSN 0303-6812
Contributo su Rivista - Lorenzi, T.; Perthame, B.; Ruan, X. (2021)
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility. In: EUROPEAN JOURNAL OF APPLIED MATHEMATICS, pp. 1-18. ISSN 0956-7925
Contributo su Rivista - Fiandaca, G.; Delitala, M.; Lorenzi, T. (2021)
A Mathematical Study of the Influence of Hypoxia and Acidity on the Evolutionary Dynamics of Cancer. In: BULLETIN OF MATHEMATICAL BIOLOGY, vol. 83. ISSN 0092-8240
Contributo su Rivista - Villa, C.; Chaplain, M. A. J.; Gerisch, A.; Lorenzi, T. (2021)
Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations. In: BULLETIN OF MATHEMATICAL BIOLOGY, vol. 83. ISSN 0092-8240
Contributo su Rivista - Villa, C.; Chaplain, M. A.; Lorenzi, T. (2021)
Modeling the emergence of phenotypic heterogeneity in vascularized tumors. In: SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 81, pp. 434-453. ISSN 0036-1399
Contributo su Rivista - Estrada-Rodriguez, G.; Lorenzi, T. (2021)
Macroscopic limit of a kinetic model describing the switch in T cell migration modes via binary interactions. In: EUROPEAN JOURNAL OF APPLIED MATHEMATICS, pp. 1-27. ISSN 0956-7925
Contributo su Rivista - Lorenzi, T.; Murray, P. J.; Ptashnyk, M. (2020)
From individual-based mechanical models of multicellular systems to free-boundary problems. In: INTERFACES AND FREE BOUNDARIES, vol. 22, pp. 205-244. ISSN 1463-9963
Contributo su Rivista - Stace, R. E. A.; Stiehl, T.; Chaplain, M. A. J.; Marciniak-Czochra, A.; Lorenzi, T. (2020)
Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy. In: MATHEMATICAL MODELLING OF NATURAL PHENOMENA, vol. 15. ISSN 0973-5348
Contributo su Rivista - Chaplain, M. A. J.; Lorenzi, T.; Macfarlane, F. R. (2020)
Bridging the gap between individual-based and continuum models of growing cell populations. In: JOURNAL OF MATHEMATICAL BIOLOGY, vol. 80, pp. 343-371. ISSN 0303-6812
Contributo su Rivista - Bubba, F.; Lorenzi, T.; Macfarlane, F. R. (2020)
From a discrete model of chemotaxis with volume-filling to a generalized Patlak–Keller–Segel model. In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A, vol. 476. ISSN 1364-5021
Contributo su Rivista - Villa, C.; Chaplain, M. A. J.; Lorenzi, T. (2020)
Evolutionary Dynamics in Vascularised Tumours under Chemotherapy: Mathematical Modelling, Asymptotic Analysis and Numerical Simulations. In: VIETNAM JOURNAL OF MATHEMATICS. ISSN 2305-221X
Contributo su Rivista - Macfarlane, F. R.; Chaplain, M. A. J.; Lorenzi, T. (2020)
A hybrid discrete-continuum approach to model Turing pattern formation. In: MATHEMATICAL BIOSCIENCES AND ENGINEERING, vol. 17, pp. 7442-7479. ISSN 1551-0018
Contributo su Rivista - Ardaseva, A.; Gatenby, R. A.; Anderson, A. R. A.; Byrne, H. M.; Maini, P. K.; Lorenzi, T. (2020)
A Mathematical Dissection of the Adaptation of Cell Populations to Fluctuating Oxygen Levels. In: BULLETIN OF MATHEMATICAL BIOLOGY, vol. 82. ISSN 0092-8240
Contributo su Rivista - Ardaseva, A.; Gatenby, R. A.; Anderson, A. R. A.; Byrne, H. M.; Maini, P. K.; Lorenzi, T. (2020)
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. In: JOURNAL OF MATHEMATICAL BIOLOGY, vol. 80, pp. 775-807. ISSN 0303-6812
Contributo su Rivista - Lorenzi, T.; Pouchol, C. (2020)
Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks. In: NONLINEARITY, vol. 33, pp. 5791-5816. ISSN 0951-7715
Contributo su Rivista - Ardaseva, A.; Anderson, A. R. A.; Gatenby, R. A.; Byrne, H. M.; Maini, P. K.; Lorenzi, T. (2020)
Comparative study between discrete and continuum models for the evolution of competing phenotype-structured cell populations in dynamical environments. In: PHYSICAL REVIEW. E, vol. 102. ISSN 2470-0045
Contributo su Rivista