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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

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

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 WWW, 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, 281301/1-281301/4, 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 protostars, 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

Hamlet Chu H, Wei-Chan S, Gosling JP, Blanchard N, Tsitsiklis A, Lythe G, Shastri N, Molina-Paris C, Robey E Continuous effector T cell production by an amplifying intermediate in a controlled persistent infection IMMUNITY-D-15-01016R1 Immunity
View abstract