# School of Mathematics

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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

## 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

**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

**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

**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 *edited by Kovacs T; Marshal JAR*Society for the Study of Artificial Intelligence and Simulation of Behaviour, 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

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

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 protostars *In:*Workshop on the Evolving Sun and Its Influence on Planetary Environments , 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

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

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

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

**Molina-Paris C** A stochastic T cell response criterion *Journal of the Royal Society Interface*

DOI:10.1098/rsif.2012.0205

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