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
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
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
A structured-population model of Proteus mirabilis swarm-colony development
BP Ayati
Journal of mathematical biology 52, 93-114, 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
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
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
A multiscale model of biofilm as a senescence-structured fluid
BP Ayati, I Klapper
Multiscale Modeling & Simulation 6 (2), 347-365, 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
Convergence of a step-doubling Galerkin method for parabolic problems
BP Ayati, TF Dupont
Mathematics of Computation 74 (251), 1053-1065, 2005
Modeling the effects of multiple myeloma on kidney function
JC Walk, BP Ayati, SA Holstein
Scientific reports 9 (1), 1726, 2019
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
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
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
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 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
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