Research Topics
Genomes and Genes  Avner FriedmanSummaryAffiliation: The Ohio State University Country: USA Publications
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Publications
 A Bovine Babesiosis model with dispersionAvner Friedman
Mathematical Bioscience Institute and Mathematics Department, The Ohio State University, Columbus, OH, 43210, USA
Bull Math Biol 76:98135. 2014..Based on data from Colombia, South Africa, and Brazil, we use the model to determine the effectiveness of several intervention schemes to control the progression of BB. ..  Anthrax epizootic and migration: persistence or extinctionAvner Friedman
Mathematical Bioscience Institute and Mathematics Department, The Ohio State University, Columbus, Ohio 43210, USA
Math Biosci 241:13744. 2013..However, increasing levels of carcass induced environmental contamination rates in an enzootic anthrax region can result in the catastrophic extinction of a persistent animal population...  Tumor cells proliferation and migration under the influence of their microenvironmentAvner Friedman
Department of Mathematics, Ohio State University, Columbus, OH 43210, United States
Math Biosci Eng 8:37183. 2011..Simulations of the models are in agreement with experimental results. The models can be used to generate hypotheses regarding the development of drugs which will confine tumor growth...  Interaction of tumor with its microenvironment: A mathematical modelYangjin Kim
Mathematical Biosciences Institute, The Ohio State University, Columbus, 43210, USA
Bull Math Biol 72:102968. 2010..The model is used to generate several hypotheses on how to slow tumor growth and invasion. In an Appendix, it is proved that the mathematical model has a unique global intime solution...  Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experimentsYangjin Kim
Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA
J Math Biol 61:40121. 2010..We conducted experiments which show good agreement with the model's simulations, hence confirming the model's ability to predict aspects of tumor cell behavior in response to signaling from fibroblasts...  A partial differential equation model of metastasized prostatic cancerAvner Friedman
Department of Mathematics, Ohio State University, Columbus, OH 43210, USA
Math Biosci Eng 10:591608. 2013....  Mechanistic modeling of the effects of myoferlin on tumor cell invasionMarisa C Eisenberg
Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA
Proc Natl Acad Sci U S A 108:2007883. 2011..These results suggest that MYOF may be a promising target for biomarkers or drug target for metastatic cancer diagnosis and therapy, perhaps mediated through MMPs...  Modeling the inhibition of breast cancer growth by GMCSFBarbara Szomolay
Mathematical Biosciences Institute, The Ohio State University, USA
J Theor Biol 303:14151. 2012....  Modeling the host response to inhalation anthraxJudy Day
Mathematical Biosciences Institute, 3rd Floor Jennings Hall, The Ohio State University, Columbus, OH 43210, USA
J Theor Biol 276:199208. 2011..Using this framework as the basis of our model, we explore the probability of survival of an infected individual. This is dependent on several factors, such as the rate of migration and germination events and treatment with antibiotics...  Hypoxia inducible microRNA 210 attenuates keratinocyte proliferation and impairs closure in a murine model of ischemic woundsSabyasachi Biswas
Department of Surgery, Ohio State University Medical Center, Columbus, OH 43210, USA
Proc Natl Acad Sci U S A 107:697681. 2010....  A mathematical model of CR3/TLR2 crosstalk in the context of Francisella tularensis infectionRachel Leander
Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio, USA
PLoS Comput Biol 8:e1002757. 2012..The model confirms that phagocytosisassociated changes in the composition of the cell membrane can inhibit ERK activity and predicts that Akt and RasGAP synergize to inhibit ERK...  A mathematical model of venous neointimal hyperplasia formationPaula BuduGrajdeanu
Mathematical Biosciences Institute, The Ohio State University, Columbus, OH, USA
Theor Biol Med Model 5:2. 2008..The release of growth factors due to surgical injury, oxidative stress and turbulent flow has been suggested as a possible mechanism for neointimal hyperplasia...  A mathematical model for chronic woundsAvner Friedman
Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, United States
Math Biosci Eng 8:25361. 2011..Preliminary results for the threedimensional axially symmetric case are also included...  Analysis of a model of a virus that replicates selectively in tumor cellsAvner Friedman
Department of Mathematics, Ohio State University, Columbus, OH 43210, USA
J Math Biol 47:391423. 2003..The purpose of this paper is to establish a rigorous mathematical analysis of the model, and to explore the reduction of the tumor size that can be achieved by this therapy...  Mathematical model of the roles of T cells in inflammatory bowel diseaseWing Cheong Lo
Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA
Bull Math Biol 75:141733. 2013..The model demonstrates how the abnormal levels of T cells observed in inflammatory bowel diseases can arise from abnormal regulation of Th1 and Th2 cells by Treg cells...  Hypoxia inducible factorsmediated inhibition of cancer by GMCSF: a mathematical modelDuan Chen
Mathematical Biosciences Institute, The Ohio State University, Columbus, OH, USA
Bull Math Biol 74:275277. 2012..For example, the model qualitatively predicts the extent to which GMCSF treatment in combination with a small molecule inhibitor that stabilizes HIF2α will reduce tumor volume and angiogenesis...  The role of CD200CD200R in tumor immune evasionKang Ling Liao
Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA
J Theor Biol 328:6576. 2013..Our results help understanding the complexities of tumor microenvironment...  A mathematical model for microRNA in lung cancerHye Won Kang
Mathematical Biosciences Institute, Ohio State University, Columbus, Ohio, United States of America
PLoS ONE 8:e53663. 2013..However, very little is presently known about factors that regulate let7. It is quite possible that when such regulating factors become known and integrated into our model, they will further support our mathematical model...  Propagation of cutaneous thermal injury: a mathematical modelChuan Xue
Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio, USA
Wound Repair Regen 20:11422. 2012..Our model is formulated in terms of differential equations, and sensitivity analysis is performed on the parameters to ensure the robustness of the results...  Mathematical modeling of interleukin35 promoting tumor growth and angiogenesisKang Ling Liao
Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio, United States of America
PLoS ONE 9:e110126. 2014..We also find that the percentage of tumor reduction under antiIL35 treatment improves when the production of IL35 by cancer is increased. ..  Mathematical modeling of interleukin27 induction of antitumor T cells responseKang Ling Liao
Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio, United States of America
PLoS ONE 9:e91844. 2014....  Can malaria parasite pathogenesis be prevented by treatment with tumor necrosis factoralpha?Avner Friedman
MBI, Ohio State University, Columbus, OH 43210, USA
Math Biosci Eng 10:60924. 2013..Our study is recommending administration of dual therapy as a strategy to prevent parasites from developing resistance to malaria treatment drugs. ..  Mathematical model of colitisassociated colon cancerWing Cheong Lo
Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA
J Theor Biol 317:209. 2013..The model may serve as a conceptual framework for further databased study of the early stage of colon cancer...  Cell cycle control at the first restriction point and its effect on tissue growthAvner Friedman
Department of Mathematics, Mathematical Biosciences Institute, The Ohio State University, 231 West 18th Avenue, Columbus, OH 43210, USA
J Math Biol 60:881907. 2010..In the absence of such control, R(t) will either increase to infinity or decrease to 0. The mathematical model and analysis involve a system of PDEs in {r < R(t)}...  Oxygen regulates the effective diffusion distance of nitric oxide in the aortic wallXiaoping Liu
Davis Heart and Lung Research Institute, Division of Cardiovascular Medicine, Department of Internal Medicine, Ohio State University, Columbus, OH 43210, USA
Free Radic Biol Med 48:5549. 2010..These results suggest that oxygendependent NO consumption may play an important role in dilating blood vessels during hypoxia by increasing the effective NO diffusion distance...  A mathematical model of ischemic cutaneous woundsChuan Xue
Mathematical Biosciences Institute and Department of Mathematics, Ohio State University, Columbus, OH 43210, USA
Proc Natl Acad Sci U S A 106:167827. 2009..Simulations of the model demonstrate how ischemic conditions may limit macrophage recruitment to the woundsite and impair wound closure. The results are in general agreement with experimental findings...  Tuberculosis research: going forward with a powerful "translational systems biology" approachJudy Day
Mathematical Biosciences Institute, The Ohio State University, Jennings Hall, 3rd Floor, 1735 Neil Ave, Columbus, OH 43210, USA
Tuberculosis (Edinb) 90:78. 2010..This opinion piece discusses the importance of using a Translational Systems Biology approach for tuberculosis research as a means by which to go forward with the potential for significant breakthroughs to occur...  MicroRNA regulation of a cancer network: consequences of the feedback loops involving miR1792, E2F, and MycBaltazar D Aguda
Mathematical Biosciences Institute, Ohio State University, 1735 Neil Avenue, Columbus, OH 43210, USA
Proc Natl Acad Sci U S A 105:1967883. 2008..Using the concept and model prediction of a "cancer zone," the oncogenic and tumor suppressor properties of miR1792 is demonstrated to parallel the same properties of E2F and Myc...  Modeling the immune rheostat of macrophages in the lung in response to infectionJudy Day
Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA
Proc Natl Acad Sci U S A 106:1124651. 2009..The model, based on a system of differential equations, represents a useful tool to analyze strategies for reducing the switching time, and to generate hypotheses for experimental testing...  Choindroitinase ABC Imediated enhancement of oncolytic virus spread and anti tumor efficacy: a mathematical modelYangjin Kim
Department of Mathematics, Ohio State University, Columbus, Ohio, United States of America Department of Mathematics, Konkuk University, Seoul, Republic of Korea
PLoS ONE 9:e102499. 2014..The model also predicts that the size of tumor satellites and distance between the primary tumor and multifocal/satellite lesions may be an important factor for the efficacy of the viral therapy with Chase treatment. ..  Modeling oxygen transport in surgical tissue transferAnastasios Matzavinos
Department of Mathematics, Iowa State University, Ames, IA 50011, USA
Proc Natl Acad Sci U S A 106:120916. 2009..As a first step towards addressing this question, we present a simple mathematical model that might be used to predict successful tissue transfer based on blood vessel diameter, tissue volume, and oxygen delivery...  Fatal disease and demographic Allee effect: population persistence and extinctionAvner Friedman
Mathematical Bioscience Institute, The Ohio State University, Columbus, OH 43210, USA
J Biol Dyn 6:495508. 2012..In addition, we prove that additional deaths due to a fatal infectious disease effectively increase the Allee threshold of the host population demographics...  Mathematical modeling of prostate cancer progression in response to androgen ablation therapyHarsh Vardhan Jain
Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA
Proc Natl Acad Sci U S A 108:197016. 2011....  A mathematical model for pattern formation of glioma cells outside the tumor spheroid coreYangjin Kim
Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA
J Theor Biol 260:35971. 2009..It is shown that, depending on adhesion, haptotactic, and chemotactic parameters, the migration patterns exhibit a gradual shift from branching to dispersion, as has been reported experimentally...  Mathematical framework for human SLE Nephritis: disease dynamics and urine biomarkersPaula BuduGrajdeanu
Department of Mathematics, Ohio State University, Columbus OH 43210, USA
Theor Biol Med Model 7:14. 2010..It has been postulated that biomarkers would be more informative if integrated into a pathogenicbased model of LN...