Bruce P. Ayati
Bruce P. Ayati
Professor of Mathematics and Orthopedics & Rehabilitation, University of Iowa
Verified email at - Homepage
Cited by
Cited by
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
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
Senescence can explain microbial persistence
I Klapper, P Gilbert, BP Ayati, J Dockery, PS Stewart
arXiv preprint q-bio/0610026, 2006
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
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
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
A structured-population model of Proteus mirabilis swarm-colony development
BP Ayati
Journal of mathematical biology 52 (1), 93-114, 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
A multiscale model of biofilm as a senescence-structured fluid
BP Ayati, I Klapper
Multiscale Modeling & Simulation 6 (2), 347-365, 2007
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), 1-15, 2012
Modeling the role of the cell cycle in regulating Proteus mirabilis swarm-colony development
BP Ayati
Applied mathematics letters 20 (8), 913-918, 2007
Convergence of a step-doubling Galerkin method for parabolic problems
BP Ayati, TF Dupont
Mathematics of Computation 74 (251), 1053-1065, 2005
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
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
Microbial dormancy in batch cultures as a function of substrate-dependent mortality
BP Ayati
Journal of theoretical biology 293, 34-40, 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
Models of microbial dormancy in biofilms and planktonic cultures
BP Ayati, I Klapper
arXiv preprint arXiv:1006.0023, 2010
Modeling the effects of multiple myeloma on kidney function
JC Walk, BP Ayati, SA Holstein
Scientific reports 9 (1), 1-10, 2019
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
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
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