Publications of members of the M3CD network related to cell and cell population dynamics (incomplete, work in progress)
2015 Mamba, Paris-Rocquencourt
Chisholm, R.H., Lorenzi, T., Lorz, A., Larsen, A.K., Almeida, L., Escargueil, A., Clairambault, J. Emergence of reversible drug tolerance in cancer cell populations: an evolutionary outcome of selection, non-genetic instability and stress-induced adaptation. Cancer Research, 75(6):930-939, 2015. Published on line January 2015
Lorz, A., Lorenzi, T., Clairambault, J., Escargueil, A., Perthame, B. Effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Bull. Math. Biol., 77(1):1-22, 2015. preprint available
Luis Almeida, Rebecca Chisholm, Jean Clairambault, Alexandre Escargueil, Tommaso Lorenzi, Alexander Lorz, Emmanuel Trélat. Phenotype heterogeneity in cancer cell populations. Proceedings of ICNAAM 2015, Rhodes (Greece), September 2015, preprint available
Tommaso Lorenzi, Rebecca H. Chisholm, Alexander Lorz, Annette K. Larsen, Luís Neves de Almeida, Alexandre Escargueil, Jean Clairambault. Emergence of cytotoxic resistance in cancer cell populations: single-cell mechanisms and population-level consequences. Proceedings of ICNAAM 2015, Rhodes (Greece), September 2015, preprint available
Dracula, Lyon
M. Adimy, A. Chekroun, T. M. Touaoula , A delay differential-difference system of hematopoietic stem cell dynamics, Comptes Rendus Mathématique 353 (4), 303-307, 2015
M. Adimy, A. Chekroun, T. M. Touaoula , Age structured and delay differential-difference model of hematopoietic stem cell dynamics, Accepted in DCDS-B, 2015
N. Eymard, N. Bessonov, O. Gandrillon, M. J. Koury, and V. Volpert. The role of spatial organization of cells in erythropoiesis, Journal of mathematical biology, 2015, 70, pp 71-97
F. Crauste, E. Terry, I. Le Mercier, J. Mafille, S. Djebali, T. Andrieu, B. Mercier, G. Kaneko, C. Arpin, J. Marvel, O. Gandrillon. Predicting pathogen-specific CD8 T cell immune responses from a modeling approach., J Theor Biol, 2015, 374, pp 66-82
Loïc Barbarroux, Philippe Michel, Mostafa Adimy, Fabien Crauste. Multi-scale modeling of the CD8 immune response. Proceedings of ICNAAM 2015, Rhodes (Greece), September 2015
Politecnico di Torino
T. Lorenzi, R.H. Chisholm, M. Melensi, A. Lorz, M. Delitala, Mathematical model reveals how regulating the three phases of T-cell response could counteract immune evasion, Immunology, 2015, doi: 10.1111/imm.12500
CNR, Rome
Ezio Di Costanzo, Roberto Natalini, A hybrid mathematical model of
collective motion under alignment and chemotaxis, arXiv:1507.02980,
2015
R. Bianchini, R. Natalini, Global existence and asymptotic stability
of smooth solutions to a fluid dynamics model of biofilms in one space
dimension, arXiv:1506.01667, 2015
F.R. Guarguaglini, R. Natalini, Global smooth solutions for a
hyperbolic chemotaxis model on a network, to appear in SIAM J. Math.
Anal. 2015
Anna Lisa Amadori, Antonella Calzolari, Roberto Natalini, Barbara
Torti, Rare mutations in evolutionary dynamics, Journal of
Differential Equations, Available online 30 July 2015,
http://dx.doi.org/10.1016/j.jde.2015.07.021
A. L. Amadori, M. Briani, R. Natalini; A non-local rare mutations
model for quasispecies and Prisoner's dilemma: numerical assessment of
qualitative behaviour, European Journal of Applied Mathematics /
FirstView Article / July 2015, 1-24. Published online: 20 July 2015,
DOI: 10.1017/S0956792515000352
Fabrizio Clarelli, Cristiana Di Russo, Roberto Natalini, Magali Ribot,
A fluid dynamics multidimensional model of biofilm growth: stability,
influence of environment and sensitivity, to appear in Mathematical
Medicine and Biology 2015; doi: 10.1093/imammb/dqv024
R. Natalini, M. Ribot, M. Twarogowska; A numerical comparison between
degenerate parabolic and quasilinear hyperbolic models of cell
movements under chemotaxis. Journal of Scientific Computing, Volume 63
(3) (2015), 654-677. DOI: 10.1007/s10915-014-9909-y
E. Di Costanzo, R. Natalini, L. Preziosi, A hybrid mathematical model
for self-organizing cell migration in the zebrafish lateral line, J.
Math. Bio. Volume 71, Issue 1 (2015), 171-214. DOI:10.1007/s00285-014-0812-9
IPT, Tunis
LANLMA, Tlemcen
M. Adimy, A. Chekroun, T. M. Touaoula , A delay differential-difference system of hematopoietic stem cell dynamics, Comptes Rendus Mathematique 353 (4), 303-307, 2015
M. Adimy, A. Chekroun, T. M. Touaoula , Age structured and delay differential-difference model of hematopoietic stem cell dynamics, Accepted in DCDS-B, 2015
UCAM, Marrakech
Universidad de Valladolid
O. Angulo, J. C. López-Marcos, and M. A. López-Marcos. A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model. Abstract and Applied Analysis Volume 2015, Article ID 549168, 8 pages
O. Angulo, J. C. López-Marcos, and M. A. López-Marcos. Study on the efficiency in the numerical integration of size-structured population models: Error and computational cost, 291, (2016), 391-401
2014 Mamba, Paris-Rocquencourt
Avila Alonso, J.L., Bonnet, C., Clairambault , J., Özbay, H., Niculescu, S.-I., Merhi, F., Ballesta, A., Tang, RP., Marie, J.-P. Analysis of a New Model of Cell Population Dynamics in Acute Myeloid Leukemia. In ''Delay Systems : From Theory to Numerics and Applications'', T. Vyhlídal, J.-F. Lafay, R. Sipahi eds, pp. 315-328, Advances in Delays and Dynamics series, Springer, New York, 2014. Preprint available.
Eliaš, J., Clairambault, J. Reaction-diffusion systems for spatio-temporal intracellular protein networks: a beginner's guide with two examples. Computational and
Structural Biotechnology Journal, 10:14-22, 2014. Available on line in open access.
Clairambault, J. Deterministic mathematical modelling for cancer chronotherapeutics: cell population dynamics and treatment optimisation. In "Mathematical Oncology 2013", A. d'Onofrio and A. Gandolfi Eds., Part III, pp. 265-294, Birkhäuser, New York, 2014. Preprint available
Ballesta, A., Clairambault, J. Physiologically based mathematical models to optimize therapies against metastatic colorectal cancer: a mini-review. Current Pharmaceutical Design, 2014; 20(1):37-48. Pubmed abstract, and corrected proofs, published on line, March 2013.
Clairambault, J., Fercoq, O. Physiologically structured cell population dynamic models with applications to combined drug delivery optimisation in oncology. To appear in "Mathematical modelling of cancer growth and treatment", M. Bachar, J. Batzel, M. Chaplain Eds., Lecture Notes in Mathematics Biosciences (LNMBIOS subseries), Springer, New York. Preprint available
Avila Alonso, J. L., Bonnet, C., Fridman, E., Mazenc, F., Clairambault, J. Stability analysis of PDEs modelling cell dynamics in Acute Myeloid Leukemia. In: Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, December 2014, pp. 3059-3064 Reference.
Avila Alonso, J. L., Bonnet, C., Clairambault, J., Özbay, H., Niculescu, S.-I., Hirsch, P., Delhommeau, F. A coupled model for healthy and cancer cells dynamics in Acute Myeloid Leukemia. In: Proceedings of the 19th IFAC World Congress, Cape Town, August 2014, Reference.
Avila Alonso, J. L., Bonnet, C., Clairambault, J., Özbay, H., Niculescu, S.-I., Hirsch, P., Delhommeau, F. A discrete-maturity Interconnected Model of Healthy and Cancer Cell Dynamics in Acute Myeloid Leukemia. In: Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), Groningen, July 2014, pp. 76-83 Reference.
Dracula, Lyon
M. Adimy, O. Angulo, J. C. Lopez-Marcos, M. A. Lopez-Marcos. Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics, in "International Journal of Computer Mathematics", 2014, vol. 91, no 2, p. 198-208
M. Adimy, O. Angulo, C. Marquet, L. Sebaa. A mathematical model of multistage hematopoietic cell lineages, in "Discrete and Continuous Dynamical Systems - Series B", 2014, vol. 19, no 1, p. 1-26
S. A. Prokopiou, L. Barbarroux, S. Bernard, J. Mafille, Y. Leverrier, C. Arpin, J. Marvel, O. Gandrillon, and F. Crauste. Multiscale Modeling of the Early CD8 T-Cell Immune Response in Lymph Nodes: An Integrative Study, Computation, 2014, 2, p 159-181
Politecnico di Torino
M. Delitala and G. Ajmone Marsan Eds., Managing complexity reducing perplexity in biological systems, Springer Proceedings in Mathematics & Statistics, 2014, ISBN 978-3-319-03758-5
M. Delitala, T. Hillen, The language of systems biology, in Managing complexity reducing perplexity in biological systems, M. Delitala and G. Ajmone Marsan Eds., pg. 131-133, Springer Proceedings in Mathematics & Statistics, 2014
M. Delitala, T. Lorenzi, Mathematical modelling of cancer under target therapeutic actions: selection, mutation and drug resistance, in Managing complexity reducing perplexity in biological systems, M. Delitala and G. Ajmone Marsan Eds., pg. 81-89, Springer Proceedings in Mathematics & Statistics, 2014
CNR, Rome
Notarangelo M. G., Natalini R., Signori E., Gene therapy: the role of
cytoskeleton in gene transfer studies based on biology and
mathematics. Curr Gene Ther. (2014) ;14(2) :121-7
J. Eliaš, L. Dimitrio, J. Clairambault, R. Natalini, Dynamics of p53
in single cells: physiologically based ODE and reaction-diffusion PDE
models, Phys. Biol. 11 (2014), 045001. doi:10.1088/1478-3975/11/4/04500
Ján Eliaš; Luna Dimitrio; Jean Clairambault; Roberto Natalini, The p53
protein and its molecular network: modelling a missing link between
DNA damage and cell fate, Biochimica et Biophysica Acta - Proteins and
Proteomics, Volume:1844, Issue: 1, Special Issue: SI, Pages: 232-247, Part: B, (2014)
G. Bretti, R. Natalini, M. Ribot, A hyperbolic model of chemotaxis on
a network: a numerical study, ESAIM: Mathematical Modelling and
Numerical Analysis, Volume: 48, Issue: 1, Pages: 231-25 (2014), DOI:10.1051/m2an/2013098
R. Natalini, M. Ribot, M. Twarogowska.; A well-balanced numerical
scheme for a one dimensional quasilinear hyperbolic model of
chemotaxis, Comm. Math. Sci. 12 (2014), 13-29
IPT, Tunis
LANLMA, Tlemcen
B. Abdellaoui, T. M. Touaoula , Global attractivity for nonlinear differential equations with a nonlocal term Electronic Journal of Differential Equations (177), 1-13, 2014
UCAM, Marrakech
S. Eva, H. Hbid and D. R. Bravo, Mathematical analysis of a population model with an age-weight structured two-stage life history: asymptotic behavior of solutions. J. Evol. Equ. 14 (2014), no. 3, 603-616
N. Bacaër and E. Ait Dads, On the probability of extinction in a periodic environment, Mathematical Biology. (2014) 68: 533-548
Universidad de Valladolid
O. Angulo, F. Milner, L. Sega, "A SIR epidemic model structured by immunological variables", Journal of Biological Dynamics 221, 1-21 (2014)
M. Adimy, O. Angulo, J.C. López-Marcos, M.A. López-Marcos, "Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics", International Journal of Computer Mathematics 91, 198-208 (2014)
M. Adimy, O. Angulo, C. Marquet, L. Sebaa, "A mathematical model of multistage hematopoietic cell lineages", Discrete and Continuous Dynamical Systems- Series B 19,1-26 (2014)
L.M. Abia, O. Angulo, J.C. López-Marcos, M.A. López-Marcos, "Numerical integration of a hierarchically size-structured population model with contest competition", Journal of Computational and Applied Mathematics 258, 116-134 (2014)
O. Angulo, J.C. López-Marcos, M.A. López-Marcos, "Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource", Biomath 3, 1-11 (2014)
O. Angulo, J.C. López-Marcos, M.A. López-Marcos, "Analysis of an efficient integrator for a size-structured population model with a dynamical resource", Computers and Mathematics with Applications, 68 (2014) 941-961, DOI: 10.1016/j.camwa.2014.04.009
2013 Mamba, Paris-Rocquencourt
Billy, F., Clairambault, J., Delaunay, F., Feillet, C., Robert, N. Age-structured cell population model to study the influence of growth factors on cell cycle dynamics. Mathematical Biosciences and Engineering, 10(1):1-17, 2013. Preprint available
Billy, F., Clairambault, J. Designing proliferating cell population models with functional targets for control by anti-cancer drugs. DCDS-B, 18(4):865-889, 2013. In Special issue on cancer modelling or Preprint
Billy, F., Clairambault, J., Fercoq, O. Optimisation of cancer drug treatments using cell population dynamics. In "Mathematical Models and Methods in Biomedicine'', A. Friedman, E. Kashdan, U. Ledzewicz and H. Schättler Eds., Part 4, pp. 265-309, Springer, New-York, 2013. Preprint available
Lorz, A., Lorenzi, T., Hochberg, M.E., Clairambault, J., Perthame, B. Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Mathematical Modelling and Numerical Analysis, 47:377-399, 2013. DOI: http://dx.doi.org/10.1051/m2an/2012031 Preprint available
Dracula, Lyon
V. Volpert, N. Bessonov, A. Tosenberger, and N. Eymard. Modèle multi-échelle de la dynamique cellulaire, in Le vivant discret et continu, 2013, pp 91-112
V. Volpert, N. Bessonov, and P. Kurbatova. Pattern Formation in Hybrid Models of Cell Population, in Pattern Formation in Morphogenesis, 2013, pp 107-119
Politecnico di Torino
M. Delitala, T. Lorenzi, Evolutionary Branching Patterns in Predator-Prey Structured Populations, Discrete Contin. Dyn. Syst. Ser. B, 18, 2267-2282, 2013
M. Delitala, U. Dianzani, T. Lorenzi, M. Melensi, A mathematical model for immune and autoimmune response mediated by T-cells, Comput. Math. Appl., 66, 1010-1023, 2013
M. Delitala, T. Lorenzi, Recognition and learning in a mathematical model for immune response against cancer, Discrete Contin. Dyn. Syst. Ser. B, 18, 891-914, 2013
M. Delitala, T. Lorenzi, Drift-diffusion limit of a model for the dynamics of epithelial and mesenchymal cell monolayers, Appl. Math. Letters, 26, 826-830, 2013
M. Delitala, T. Lorenzi, Formations of evolutionary patterns in cancer dynamics (pp. 179-190) in Pattern Formation in Morphogenesis. Problems and mathematical issues, Eds. V. Capasso, M. Gromov, A. Harel-Bellan, N. Morozova and L.L. Pritchard, Springer Proceedings in Mathematics, Vol 15, 2013
CNR, Rome
Luna Dimitrio, Jean Clairambault, Roberto Natalini; A spatial
physiological model for p53 intracellular dynamics, J. Theor. Bio. v.
316, (2013), 9--24
F. Clarelli, C. Di Russo, R. Natalini and M. Ribot, A fluid dynamics
model of the growth of phototrophic biofilms, J. Math. Biol. 66
(2013), no. 7, 1387--1408
IPT, Tunis
LANLMA, Tlemcen
Philippe Michel, T.M. Touaoula, Asymptotic behavior for a class of the renewal nonlinear equation with diffusion, Mathematical Methods in the Applied Sciences (M2AS) 36 (3), 323-335, 2013
UCAM, Marrakech
B. Roche, K.Sprouffske, H. Hbid, D. Missé and F. Thomas, Peto's paradox revisited: theoretical evolutionary dynamics of cancer in wild populations, Evolutionary Applications,Vol. 6, 1, 109-116, (2013)
B. Ainseba, Y. Echarroudi and L. Maniar, Null controllability of a population dynamics with degenerate diffusion, Diff. Integral Equations 26 (2013), 1397-1410
N. Bacaër, Mohamed Khaladi, On the basic reproduction number in a random Environment J. Math. Biol. (2013) 67:1729-1739 DOI 10.1007/s00285-012-0611-0
Universidad de Valladolid
O. Angulo, J. C. López-Marcos, M. A. López-Marcos, "A semi-Lagrangian method for a cell population model in a dynamical environment", Mathematical and Computer Modelling 57, 1860-1866 (2013)
O. Angulo, J. C. López-Marcos, M. A. López-Marcos, J. Martínez- Rodríguez, "Numerical analysis of a population model of marine invertebrates with different life stages", Communications in Nonlinear Science and Numerical Simulation 18, 2153-2163 (2013)
O. Angulo, R. Bravo de la Parra, J.C. López-Marcos, M.A. Zavala, "Stand dynamics and tree coexistence in an analytical structured model: the role of
recruitment", Journal of Theoretical Biology 333, 91-101 (2013)
O. Angulo, F. Milner, L. Sega, "A SIR epidemic model structured by immunological variables", Journal of Biological Systems 21, 1-21 (2013)
O. Angulo, F. Milner, L. Sega, "Immunological Models of Epidemics", en las actas del Cuarto Congreso de Matemática Aplicada Computacional e Industrial, MACI 2013, ISBN: 2314-3282 4, 53-56 (2013)
2012 Mamba, Paris-Rocquencourt
Ballesta, A., Clairambault, J., Dulong, S., Lévi, F. A systems biomedicine approach for chronotherapeutics optimization: focus on the anticancer drug irinotecan. In: ''New Challenges for Cancer Systems Biomedicine'', D'Onofrio, Alberto, Cerrai, Paola, Gandolfi, Alberto Eds., Part V, pp. 301-327, SIMAI Lecture Notes, Springer, New York, 2012. Preprint available
Ciuperca I. Sorin, Hingant E., Palade L. Iulian, Pujo-Menjouet L., Fragmentation and monomer lengthening of rod-like polymers, a relevant model for prion proliferation, Discrete and Continuous Dynamical Systems - Series B (2012) 17, 3, 775-799
Fischer S., Kurbatova P., Bessonov N., Gandrillon O., Volpert V., Crauste F., Modeling erythroblastic islands: using a hybrid model to assess the function of central macrophage, Journal of Theoretical Biology (2012) 298, 92-106
Terry E., Marvel J., Arpin C., Gandrillon O., Crauste F., Mathematical model of the primary CD8 T cell immune response: stability analysis of a nonlinear age-structured system, Journal of Mathematical Biology (2012) 65, 263-291
Politecnico di Torino
M. Delitala, T. Lorenzi, Asymptotic dynamics in continuous structured populations with mutations, competition and mutualism, J. Math. Anal. Appl., 389, 439-451, 2012
M. Delitala, T. Lorenzi, A mathematical model for the dynamics of cancer hepatocytes under therapeutic actions, J. Theoret. Biol., 297, 88-102, 2012
CNR, Rome
R. Natalini, M. Ribot. Asymptotic High Order Mass-Preserving Schemes
for a Hyperbolic Model of Chemotaxis, SIAM Journal on Numerical
Analysis 50 (2012), pp. 883-905
A. Amadori, B. Boccabella, R. Natalini. A hyperbolic model of spatial
evolutionary game theory. Comm. Pure Appl. Analysis 11, (2012), 981 Ð
1002. doi: 10.3934/cpaa.2012.11.981
IPT, Tunis
LANLMA, Tlemcen
UCAM, Marrakech
- A. Kacha, H. Hbid and P. Auger, Stability and Hopf bifurcation of a mathematical model describing bacteria-fish interaction in marine environment. Appl. Math. Comput. 218 (2012), no. 17, 8226Ð8241
N. Bacaër and E. Ait Dads, On the biological interpretation of the parameter (R0) in periodic population models, Journal of Mathematical Biology, (2012) 65, 601-621
Universidad de Valladolid
O. Angulo, J. C. López-Marcos, M. A. Bees, "Mass Structured Systems with Boundary Delay: Oscillations and the Effect of Selective Predation", Journal of Nonlinear Science 22, 961-984 (2012)
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