A mathematical model of bone remodeling dynamics for normal bone cell populations and myeloma bone disease BP Ayati, CM Edwards, GF Webb, JP Wikswo Biology Direct 5 (28), 2010 | 146 | 2010 |
A spatial model of tumor-host interaction: application of chemotherapy P Hinow, P Gerlee, LJ McCawley, V Quaranta, M Ciobanu, S Wang, ... Mathematical biosciences and engineering: MBE 6 (3), 521, 2009 | 110 | 2009 |
The role of osteocytes in targeted bone remodeling: a mathematical model JM Graham, BP Ayati, SA Holstein, JA Martin PloS one 8 (5), e63884, 2013 | 96 | 2013 |
Senescence can explain microbial persistence I Klapper, P Gilbert, BP Ayati, J Dockery, PS Stewart Microbiology 153 (11), 3623-3630, 2007 | 76 | 2007 |
Computational methods and results for structured multiscale models of tumor invasion BP Ayati, GF Webb, ARA Anderson Multiscale Modeling & Simulation 5 (1), 1-20, 2006 | 73 | 2006 |
A variable time step method for an age-dependent population model with nonlinear diffusion BP Ayati SIAM journal on numerical analysis 37 (5), 1571-1589, 2000 | 55 | 2000 |
A structured-population model of Proteus mirabilis swarm-colony development BP Ayati Journal of mathematical biology 52, 93-114, 2006 | 51 | 2006 |
Galerkin methods in age and space for a population model with nonlinear diffusion BP Ayati, TF Dupont SIAM journal on numerical analysis 40 (3), 1064-1076, 2002 | 51 | 2002 |
Reaction-Diffusion-Delay Model for EPO/TNF-α Interaction in articular cartilage lesion abatement JM Graham, BP Ayati, L Ding, PS Ramakrishnan, JA Martin Biology Direct 7, 1-15, 2012 | 28 | 2012 |
A multiscale model of biofilm as a senescence-structured fluid BP Ayati, I Klapper Multiscale Modeling & Simulation 6 (2), 347-365, 2007 | 25 | 2007 |
Modeling the role of the cell cycle in regulating Proteus mirabilis swarm-colony development BP Ayati Applied mathematics letters 20 (8), 913-918, 2007 | 23 | 2007 |
Convergence of a step-doubling Galerkin method for parabolic problems BP Ayati, TF Dupont Mathematics of Computation 74 (251), 1053-1065, 2005 | 21 | 2005 |
Towards a New Spatial Representation of Bone Remodeling JM Graham, BP Ayati, PS Ramakrishnan, JA Martin Mathematical Biosciences and Engineering 9 (2), 281-295, 2012 | 20 | 2012 |
Modeling the effects of multiple myeloma on kidney function JC Walk, BP Ayati, SA Holstein Scientific reports 9 (1), 1726, 2019 | 19 | 2019 |
Complementary models reveal cellular responses to contact stresses that contribute to post‐traumatic osteoarthritis JA Martin, DD Anderson, JE Goetz, D Fredericks, DR Pedersen, BP Ayati, ... Journal of Orthopaedic Research 35 (3), 515-523, 2017 | 19 | 2017 |
A validated model of the pro-and anti-inflammatory cytokine balancing act in articular cartilage lesion formation X Wang, MJ Brouillette, BP Ayati, JA Martin Frontiers in bioengineering and biotechnology 3, 25, 2015 | 17 | 2015 |
Microbial dormancy in batch cultures as a function of substrate-dependent mortality BP Ayati Journal of theoretical biology 293, 34-40, 2012 | 17 | 2012 |
Linking cellular and mechanical processes in articular cartilage lesion formation: a mathematical model GI Kapitanov, X Wang, BP Ayati, MJ Brouillette, JA Martin Frontiers in bioengineering and biotechnology 4, 80, 2016 | 15 | 2016 |
Modeling and simulation of the effects of cyclic loading on articular cartilage lesion formation X Wang, BP Ayati, MJ Brouillete, JM Graham, PS Ramakrishnan, ... International journal for numerical methods in biomedical engineering 30 (10 …, 2014 | 12 | 2014 |
Models of microbial dormancy in biofilms and planktonic cultures BP Ayati, I Klapper arXiv preprint arXiv:1006.0023, 2010 | 12 | 2010 |