Modélisation

Modélisation de tumeurs cancéreuses

  • T. BASTOGNE, A. SAMSON, P. VALLOIS et al. : Phenomenological modeling of tumor diameter growth based on a mixed effects model. Journal of Theoretical Biology, 262, 544-552 (2010), cliquer ici
  • T. BASTOGNE, R. KEINJ et P. VALLOIS: Multinomial model-based formulations of TCP and NTCP for radiotherapy treatment planning. Journal of Theoretical Biology 279, 55-62, (2011), cliquer ici
  • T. BASTOGNE, R. KEINJ et P. VALLOIS: Tumor growth modeling based on cell and tumor lifespans. Journal of Theoretical Biology 312, 76-86 (2012), cliquer ici.
  • T. BASTOGNE, R. KEINJ et P. VALLOIS: An Extension of the Target Theory in Biology Applied to System Reliability. In Models and Methods in Economics and Management Science : Essays in Honor of Charles S. Tapiero. Springer, cliquer ici
  • J-S GIET, S. WANTZ-MEZIERES, P. VALLOIS: The logistic SDE. Theory of Stochastic Processes. Vol. 20 (36), 1, pp. 28-62, (2015). Cliquer ici.
  • T. BASTOGNE, J.-L. MARCHAND, S. PINEL et P. VALLOIS: A branching process model of heterogeneous DNA damages caused by radiotherapy in in vitro cell cultures. Mathematical Biosciences 294 100-109 (2017). Cliquer ici.

Analyse de séquences biologiques

  • C. CHABRIAC, A. LAGNOUX, S. MERCIER, P. VALLOIS : Elements related to the largest complete excursion of a reflected BM stopped at a fixed time. Application to local score. Stochastic Processes and their Applications 124, 4202-4223, (2014), cliquer ici.
  • A. LAGNOUX, S. MERCIER, P. VALLOIS : Probability that the maximum of the reflected Brownian motion over a finite interval [0,t] is achieved by its last zero before t. Electron. Commun. Probab. 20, 62, 1-9, (2015). Cliquer ici.
  • A. LAGNOUX, S. MERCIER, P. VALLOIS : Statistical significance based on length and position of the local score in a model of i.i.d. sequences. Bioinformatics 33 (5), 654-660, (2017). Cliquer ici
  • A. LAGNOUX, S. MERCIER, P. VALLOIS : Probability density function of the local score position. Stochastic Processes and their Application, 129, (10), 3664-3689 (2019). Cliquer ici

Modélisation santé

  • BASTOGNE, S. MÉZIÈRES-WANTZ, N. RAMDANI, P. VALLOIS, et M. BARBERI-HEYOB : identification of Pharmacokinetics Models in the presence of Timing oise. European Journal of Control, Vol. 14, (2),149-157, (2008). Cliquer ici.
  • M. BRUILLARD, et al. : Non-random variations in human cancer expressed sequence tags indicate that messenger RNA heterogeneity increases during carcinogenesis. PNAS, May 1, Vol 104, 18, 7522-7527 (2007). Cliquer ici . Annexes, cliquer ici.
  • O. COLLIGNON, J.M. MONNEZ, P. VALLOIS et al.: Discriminant analyses peanut allergy severity scores. Journal of Applied Statistics, Vol 38, 9, 1783-1799, (2011), cliquer ici
  • O. COLLIGNON, J.M. MONNEZ, P. VALLOIS et al.: A novel immunoassay using recombinant allergens simplifies peanut allergy diagnosis. International Archives of Allergy and Immunology, 154, 216-226,(2011), cliquer ici.
  • A. GEGOUT PETIT et al. :Seroprevalence of SARS-CoV-2, Symptom Profiles and Sero-Neutralization in a Suburban Area, France. Viruses. Jun 4;13(6):1076 (2021), cliquer ici.
  • I. DUPIN et al: Probabilistic Cellular Automata modeling of intercellular interactions in airways: complex pattern formation in patients with Chronic Obstructive Pulmonary Disease. Journal of Theoretical Biology 564, 111448 (2023), cliquer ici.
  • E. EYRAUD et al : Short-range interactions between fibrocytes and CD8+ T cells in COPD bronchial inflammatory response}. eLife Sciences Publications, Ltd (2023), cliquer ici

Modélisation dans le domaine de l’assurance

  • G. NICHIL et P. VALLOIS: Provisioning against borrowers default risk. Insurance: Mathematics and Economics 66, 29-43, (2016). Cliquer ici.
  • G. NICHIL et P. VALLOIS: Solvency Need Resulting from Reserving Risk in a ORSA Context. Methodol Comput Appl Probab (2017). Cliquer ici.

Intégrale de Choquet

  • Y. PETOT, P. VALLOIS et A. VOISIN : Choquet integral with stochastic entries. Fuzzy Sets and Systems 412, 80-94, (2021), cliquer ici