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of 97
pro vyhledávání: '"Ayati Bruce P"'
The human gut microbiota is a complex ecosystem that affects a range of human physiology. In order to explore the dynamics of the human gut microbiota, we used a system of ordinary differential equations to model mathematically the biomass of three m
Externí odkaz:
http://arxiv.org/abs/2303.12026
Mounting evidence for the role of oxidative stress in the degeneration of articular cartilage after an injurious impact requires our modeling & simulation efforts to temporarily shift from just describing the effect of mechanical stress and inflammat
Externí odkaz:
http://arxiv.org/abs/1612.03859
Multiple myeloma (MM), a plasma cell cancer, is associated with many health challenges, including damage to the kidney by tubulointerstitial fibrosis. We develop a mathematical model which captures the qualitative behavior of the cell and protein pop
Externí odkaz:
http://arxiv.org/abs/1602.03214
A severe application of stress on articular cartilage can initiate a cascade of biochemical reactions that can lead to the development of osteoarthritis. We constructed a multiscale mathematical model of the process with three components: cellular, c
Externí odkaz:
http://arxiv.org/abs/1601.01288
Multiple myeloma is a plasma cell cancer that leads to a dysregulated bone remodeling process. We present a partial differential equation model describing the dynamics of bone remodeling with the presence of myeloma tumor cells. The model explicitly
Externí odkaz:
http://arxiv.org/abs/1511.05500
Akademický článek
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Autor:
Wang, Xiayi, Ayati, Bruce P., Brouillete, Marc J., Graham, Jason M., Ramakrishnan, Prem S., Martin, James A.
We present a model of articular cartilage lesion formation to simulate the effects of cyclic loading. This model extends and modifies the reaction-diffusion-delay model by Graham et al. 2012 for the spread of a lesion formed though a single traumatic
Externí odkaz:
http://arxiv.org/abs/1311.2568
Publikováno v:
PLoS ONE 2013 May 22; 8(5): e63884
Until recently many studies of bone remodeling at the cellular level have focused on the behavior of mature osteoblasts and osteoclasts, and their respective precursor cells, with the role of osteocytes and bone lining cells left largely unexplored.
Externí odkaz:
http://arxiv.org/abs/1211.6397
Autor:
Graham, Jason M., Ayati, Bruce P.
In this paper we develop mathematical models for collective cell motility. Initially we develop a model using a linear diffusion-advection type equation and fit the parameters to data from cell motility assays. This approach is helpful in classifying
Externí odkaz:
http://arxiv.org/abs/1203.4993
Injuries to articular cartilage result in the development of lesions that form on the surface of the cartilage. Such lesions are associated with articular cartilage degeneration and osteoarthritis. The typical injury response often causes collateral
Externí odkaz:
http://arxiv.org/abs/1109.1296