@article{dobreva_brady-nicholls_larripa_puelz_mehlsen_olufsen_2021, title={A physiological model of the inflammatory-thermal-pain-cardiovascular interactions during an endotoxin challenge}, volume={599}, ISSN={["1469-7793"]}, DOI={10.1113/JP280883}, abstractNote={Key points Inflammation in response to bacterial endotoxin challenge impacts physiological functions, including cardiovascular, thermal and pain dynamics, although the mechanisms are poorly understood. We develop an innovative mathematical model incorporating interaction pathways between inflammation and physiological processes observed in response to an endotoxin challenge. We calibrate the model to individual data from 20 subjects in an experimental study of the human inflammatory and physiological responses to endotoxin, and we validate the model against human data from an independent study. Using the model to simulate patient responses to different treatment modalities reveals that a multimodal treatment combining several therapeutic strategies gives the best recovery outcome. }, number={5}, journal={JOURNAL OF PHYSIOLOGY-LONDON}, author={Dobreva, Atanaska and Brady-Nicholls, Renee and Larripa, Kamila and Puelz, Charles and Mehlsen, Jesper and Olufsen, Mette S.}, year={2021}, month={Mar}, pages={1459–1485} } @article{cogan_bao_paus_dobreva_2021, title={Data assimilation of synthetic data as a novel strategy for predicting disease progression in alopecia areata}, volume={38}, ISSN={["1477-8602"]}, DOI={10.1093/imammb/dqab008}, abstractNote={Abstract}, number={3}, journal={MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA}, author={Cogan, N. G. and Bao, Feng and Paus, Ralf and Dobreva, Atanaska}, year={2021}, month={Sep}, pages={314–332} } @article{dobreva_paus_cogan_2020, title={Toward Predicting the Spatio-Temporal Dynamics of Alopecia Areata Lesions Using Partial Differential Equation Analysis}, volume={82}, ISSN={["1522-9602"]}, DOI={10.1007/s11538-020-00707-0}, abstractNote={Hair loss in the autoimmune disease, alopecia areata (AA), is characterized by the appearance of circularly spreading alopecic lesions in seemingly healthy skin. The distinct spatial patterns of AA lesions form because the immune system attacks hair follicle cells that are in the process of producing hair shaft, catapults the mini-organs that produce hair from a state of growth (anagen) into an apoptosis-driven regression state (catagen), and causes major hair follicle dystrophy along with rapid hair shaft shedding. In this paper, we develop a model of partial differential equations (PDEs) to describe the spatio-temporal dynamics of immune system components that clinical and experimental studies show are primarily involved in the disease development. Global linear stability analysis reveals there is a most unstable mode giving rise to a pattern. The most unstable mode indicates a spatial scale consistent with results of the humanized AA mouse model of Gilhar et al. (Autoimmun Rev 15(7):726-735, 2016) for experimentally induced AA lesions. Numerical simulations of the PDE system confirm our analytic findings and illustrate the formation of a pattern that is characteristic of the spatio-temporal AA dynamics. We apply marginal linear stability analysis to examine and predict the pattern propagation.}, number={3}, journal={BULLETIN OF MATHEMATICAL BIOLOGY}, author={Dobreva, Atanaska and Paus, Ralf and Cogan, N. G.}, year={2020}, month={Feb} }