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Prof Carmen Molina-Paris

Professor in Applied Mathematics
Applied Mathematics

Contact details

Room: Satellite 10.21
Tel: +44 (0)113 3435151
Email: C.MolinaParis @ leeds.ac.uk

Keywords

Quantum field theory
Early universe
Applied mathematics
Stochastic Markov processes
T cell development
T cell receptor signalling
T cell receptor diversity
Thymic selection

Prof Carmen Molina-Paris

Research interests

My main current interest is modelling immune responses.

Three main themes are of special interest:

[1] T cell receptor-ligand binding and T cell receptor

signalling, What determines the ability of T cells

to discriminate different antigens.

[2] Size and receptor diversity of the different T cell populations.

[3] Interactions, in vivo and in real time, between dendritic cells (that display antigens on their membrane) and T cells (that display on their membrane T cell receptors).

As a theoretical physicist I am interested in understanding particle production in the Early Universe and the validity of the semi-classical approximation to Einstein's equation.

Current postgraduate students

Luis De La Higuera Romero (2013)
Marco Ferrarini (2014)
Maria Sawicka (2012)

Publications

Chu HH, Chan SW, Gosling JP, Blanchard N, Tsitsiklis A, Lythe G, Shastri N, Molina-París C, Robey EA Continuous Effector CD8(+) T Cell Production in a Controlled Persistent Infection Is Sustained by a Proliferative Intermediate Population. Immunity, 45, 159-171, 2016
DOI:10.1016/j.immuni.2016.06.013
View abstract

Castro M, Lythe G, Molina-París C, Ribeiro RM Mathematics in modern immunology Interface Focus, 6, 14, 2016
DOI:10.1098/rsfs.2015.0093
View abstract

Anderson PR, Molina-París C, Sanders DH Breakdown of the semiclassical approximation during the early stages of preheating Physical Review D - Particles, Fields, Gravitation and Cosmology, 92, 2015
DOI:10.1103/PhysRevD.92.083522
View abstract

Pham K, Shimoni R, Charnley M, Ludford-Menting MJ, Hawkins ED, Ramsbottom K, Oliaro J, Izon D, Ting SB, Reynolds J, Lythe G, Molina-Paris C, Melichar H, Robey E, Humbert PO, Gu M, Russell SM Asymmetric cell division during T cell development controls downstream fate Journal of Cell Biology, 210, 933-950, 2015
DOI:10.1083/jcb.201502053
View abstract

Reynolds J, Amado IF, Freitas AA, Lythe G, Molina-París C A mathematical perspective on CD4(+) T cell quorum-sensing. J Theor Biol, 347, 160-175, 2014
DOI:10.1016/j.jtbi.2013.12.019
View abstract

Sawicka M, Stritesky GL, Reynolds J, Abourashchi N, Lythe G, Molina-París C, Hogquist KA From pre-DP, post-DP, SP4, and SP8 Thymocyte Cell Counts to a Dynamical Model of Cortical and Medullary Selection. Front Immunol, 5, 19, 2014
DOI:10.3389/fimmu.2014.00019
View abstract

Castro M, van Santen HM, Férez M, Alarcón B, Lythe G, Molina-París C Receptor Pre-Clustering and T cell Responses: Insights into Molecular Mechanisms. Front Immunol, 5, 132, 2014
DOI:10.3389/fimmu.2014.00132
View abstract

Gillard J, Laws TR, Lythe G, Molina-París C Modelling early events in Francisella tularensis pathogenesis Frontiers in Cellular and Infection Microbiology, 4, 2014
DOI:10.3389/fcimb.2014.00169
View abstract

Reynolds J, Coles M, Lythe G, Molina-París C Mathematical Model of Naive T Cell Division and Survival IL-7 Thresholds. Front Immunol, 4, 434, 2013
DOI:10.3389/fimmu.2013.00434
View abstract

Celli S, Day M, Müller AJ, Molina-Paris C, Lythe G, Bousso P How many dendritic cells are required to initiate a T-cell response? Blood, 120, 3945-3948, 2012
DOI:10.1182/blood-2012-01-408260
View abstract

Molina-Paris C A stochastic T cell response criterion Journal of the Royal Society Interface, 2012
DOI:10.1098/​rsif.2012.0205

Voliotis M, Cohen N, Molina-París C, Liverpool TB Proofreading of misincorporated nucleotides in DNA transcription Physical Biology, 9, 2012
DOI:10.1088/1478-3975/9/3/036007
View abstract

Voliotis M, Cohen N, Molina-París C, Liverpool TB Proofreading of misincorporated nucleotides in DNA transcription Physical Biology, 9, 2012
DOI:10.1088/1478-3975/9/3/036002
View abstract

Molina-Paris C Quorum-Sensing in CD4+ T Cell Homeostasis: A Hypothesis and a Model Frontiers in Immunology, 2012

van den Berg HA, Molina-ParíS C, Sewel AK Specific T-cell activation in an unspecific T-cell repertoire Science Progress, 94, 245-264, 2011
DOI:10.3184/003685011X13139280383942
View abstract

Molina-París C Mathematical Models and Immune Cell Biology. Springer Verlag 2011
View abstract

Van Den Berg HA, Molina-París C, Sewell AK Specific T-cell activation in an unspecific T-cell repertoire. Sci Prog, 94, 245-264, 2011
View abstract

Visser M, Molina-Paris C Acoustic geometry for general relativistic barotropic irrotational fluid flow NEW J PHYS, 12, 2010
DOI:10.1088/1367-2630/12/9/095014

Latham AM, Molina-París C, Homer-Vanniasinkam S, Ponnambalam S An integrative model for vascular endothelial growth factor A as a tumour biomarker. Integr Biol (Camb), 2, 397-407, 2010
DOI:10.1039/c0ib00008f
View abstract

Stirk ER, Lythe G, van den Berg HA, Molina-París C Stochastic competitive exclusion in the maintenance of the naïve T cell repertoire. J Theor Biol, 265, 396-410, 2010
DOI:10.1016/j.jtbi.2010.05.004
View abstract

Stirk ER, Lythe G, van den Berg HA, Hurst GA, Molina-París C The limiting conditional probability distribution in a stochastic model of T cell repertoire maintenance. Math Biosci, 224, 74-86, 2010
DOI:10.1016/j.mbs.2009.12.004
View abstract

Anderson PR, Molina-Paris C, Mottola E Cosmological horizon modes and linear response in de Sitter spacetime PHYS REV D, 80, 2009
DOI:10.1103/PhysRevD.80.084005

Voliotis M, Cohen N, Molina-Paris C, Liverpool TB Backtracking and Proofreading in DNA Transcription PHYS REV LETT, 102, 2009
DOI:10.1103/PhysRevLett.102.258101

Stirk ER, Molina-París C, van den Berg HA Stochastic niche structure and diversity maintenance in the T cell repertoire. J Theor Biol, 255, 237-249, 2008
DOI:10.1016/j.jtbi.2008.07.017
View abstract

Anderson PR, Molina-Paris C, Evanich D, Cook GB Study of the preheating phase of chaotic inflation PHYS REV D, 78, 2008
DOI:10.1103/PhysRevD.78.083514

Dunn S, Morrison EE, Liverpool TB, Molina-París C, Cross RA, Alonso MC, Peckham M Differential trafficking of Kif5c on tyrosinated and detyrosinated microtubules in live cells. J Cell Sci, 121, 1085-1095, 2008
DOI:10.1242/jcs.026492
View abstract

Voliotis M, Cohen N, Molina-Paris C, Liverpool TB Fluctuations, pauses, and backtracking in DNA transcription BIOPHYS J, 94, 334-348, 2008
DOI:10.1529/biophysj.107.105767

Voliotis M, Molina-Paris C, Cohen N, Liverpool T Fluctuations, pauses and backtracking in DNA transcription Biophysical Journal, 94, 334-348, 2008

Briones C, de Vicente A, Molina-París C, Domingo E Minority memory genomes can influence the evolution of HIV-1 quasispecies in vivo. Gene, 384, 129-138, 2006
DOI:10.1016/j.gene.2006.07.037
View abstract

Voliotis M; Molina-Paris C; Liverpool TB; Cohen N Noise R Us: from gene regulatory networks to WWWProceedings of AISB'06: Adaptation in Artificial and Biological Systems, 167-175 2006

Briones C, Molina-Paris C, Domingo E Minority memory genomes can influence the evolution of HIV-1 quasispecies in vivo' memory genomes can influence the evolution of HIV-1 quasispecies in vivo'. Gene, 2006

Castro M, Molina-París C, Deisboeck TS Tumor growth instability and the onset of invasion. Phys Rev E Stat Nonlin Soft Matter Phys, 72, 041907, 2005
DOI:10.1103/PhysRevE.72.041907
View abstract

Anderson PR, Molina-Paris C, Mottola E Short distance and initial state effects in inflation: Stress tensor and decoherence PHYS REV D, 72, 2005
DOI:10.1103/PhysRevD.72.043515

Habib S, Heinen A, Heitmann K, Jungman G, Molina-Paris C Characterizing inflationary perturbations: The uniform approximation PHYS REV D, 70, 2004
DOI:10.1103/PhysRevD.70.083507

Briones C, Domingo E, Molina-Paris C Memory in retroviral quasispecies: experimental evidence and theoretical model for human immunodeficiency virus Journal of Molecular Biology, 331, 213-229, 2003
DOI:10.1016/S0022-2836(03)00661-2

Gaite J, Hochberg D, Molina-París C Large-scale features of rotating forced turbulence Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 67, 263041-2630410, 2003
View abstract

Gaite J, Hochberg D, Molina-París C Large-scale features of rotating forced turbulence. Phys Rev E Stat Nonlin Soft Matter Phys, 67, 026304, 2003
DOI:10.1103/PhysRevE.67.026304
View abstract

Van den Berg H, Molina-Paris C Thymic Presentation of Autoantigens and the Efficency of Negative Selection Journal of Theoretical Medicine, 5, 1-22, 2003
DOI:10.1080/102736620310001604910

Anderson PR, Molina-Paris C, Mottola E Linear response, validity of semiclassical gravity, and the stability of flat space Physical Review D (Particles and Fields), 67, pp.024026, 2003
DOI:10.1103/PhysRevD.67.024026

Domingo E, Ruiz-Jarabo CM, Arias A, Molina-Paris C, Briones C, Baranowski E, Escarmis C Detection and biological implications of genetic memory in viral quasispecies None, 2003

Habib S, Molina-Paris C, Deisboeck TS Complex Dynamics of Tumors: Modeling an Emerging Brain Tumour System with Coupled Reaction-Diffusion Equations Physica A - Statistical and Theoretical Physics, 327, 501-524, 2003

Habib S, Heitmann K, Jungman G, Molina-París C The inflationary perturbation spectrum Physical Review Letters, 89, 2002
View abstract

Habib S, Heitmann K, Jungman G, Molina-Paris C The Inflationary Perturbation Spectrum Physical Review Letters, 89, pp.281301, 2002
DOI:10.1103/PhysRevLett.89.281301

Ruíz-Jarabo CM, Arias A, Molina-París C, Briones C, Baranowski E, Escarmís C, Domingo E Duration and fitness dependence of quasispecies memory. J Mol Biol, 315, 285-296, 2002
DOI:10.1006/jmbi.2001.5232
View abstract

Molina-Paris C; Gaite J; Hochberg D; Perez-Mercader J Magnetohydrodynamic turbulence in protostarsASTR SOC P, 307-312 2002
View abstract

Habib S, Lindenberg K, Lythe GD, Molina-Paris C Diffusion-limited reaction in one dimension: Paired and unpaired nucleation Journal of Chemical Physics, 115, 73-89, 2001
DOI:10.1063/1.1372763

Dalvit DAR, Mazzitelli FD, Molina-Paris C One-loop graviton corrections to Maxwell's equations PHYS REV D, 6308, 2001

Hochberg D, Molina-París C, Visser M Heat kernel regularization of the effective action for stochastic reaction-diffusion equations Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 63, 361321-3613217, 2001
View abstract

Hochberg D, Molina-Paris C, Visser M Heat kernel regularization of the effective action for stochastic reaction-diffusion equations PHYS REV E, 6303, 2001

Habib S; Heitmann K; Jungman G; Molina-Paris C; Singh A A Methodology for Analzing Predictions from Slow-roll Inflation: Preliminary Results 2001

Hochberg D, Molina-Paris C, Mercader JP, Visser M SmalL-scale Properties of the KPZ Equation and Dynamical Symmetry Breaking Physics Letters. Section A: General, Atomic and Solid State Physics, 278, 177-183, 2001

Anderson PR, Eaker W, Habib S, Molina-Paris C Attractor States and Quantum Instabilities in de Sitter Space International Journal of Theoretical Physics, 40, 2217-2229, 2001
DOI:10.1023/A:1012934204432

Molina-Paris C, Anderson PR, Ramsey S Interacting Field Theories in Robertson-Walker Spacetimes: Analytic Approximations International Journal of Theoretical Physics, 40, 2231-2258, 2001
DOI:10.1023/A:1012938321270

Anderson PR, Eaker W, Habib S, Molina-Paris C, Mottola E Attractor states and infrared scaling in de Sitter space PHYS REV D, 6212, 2000

Molina-Paris C Deterministic and stochastic naive T cell population dynamics: symmetric and asymmetric cell division An international journal of Dynamical Systems

Lythe GD A stochastic T cell response criterion Journal of the Royal Society Interface

Molina-Paris C; Higuera Luis,de la; Lopez-Garcia,Martin; Lythe,G IL-2 stimulation of regulatory T cells: a stochastic and algorithmic approach

Molina-Paris C; Ferrarini,M; Lythe,G Sampling from T cell receptor repertoires