Avner Friedman

Summary

Affiliation: The Ohio State University
Country: USA

Publications

  1. ncbi A Bovine Babesiosis model with dispersion
    Avner Friedman
    Mathematical Bioscience Institute and Mathematics Department, The Ohio State University, Columbus, OH, 43210, USA
    Bull Math Biol 76:98-135. 2014
  2. doi Anthrax epizootic and migration: persistence or extinction
    Avner Friedman
    Mathematical Bioscience Institute and Mathematics Department, The Ohio State University, Columbus, Ohio 43210, USA
    Math Biosci 241:137-44. 2013
  3. doi Tumor cells proliferation and migration under the influence of their microenvironment
    Avner Friedman
    Department of Mathematics, Ohio State University, Columbus, OH 43210, United States
    Math Biosci Eng 8:371-83. 2011
  4. doi Interaction of tumor with its micro-environment: A mathematical model
    Yangjin Kim
    Mathematical Biosciences Institute, The Ohio State University, Columbus, 43210, USA
    Bull Math Biol 72:1029-68. 2010
  5. doi Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experiments
    Yangjin Kim
    Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA
    J Math Biol 61:401-21. 2010
  6. doi A partial differential equation model of metastasized prostatic cancer
    Avner Friedman
    Department of Mathematics, Ohio State University, Columbus, OH 43210, USA
    Math Biosci Eng 10:591-608. 2013
  7. pmc Mechanistic modeling of the effects of myoferlin on tumor cell invasion
    Marisa C Eisenberg
    Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA
    Proc Natl Acad Sci U S A 108:20078-83. 2011
  8. doi Modeling the inhibition of breast cancer growth by GM-CSF
    Barbara Szomolay
    Mathematical Biosciences Institute, The Ohio State University, USA
    J Theor Biol 303:141-51. 2012
  9. pmc Modeling the host response to inhalation anthrax
    Judy Day
    Mathematical Biosciences Institute, 3rd Floor Jennings Hall, The Ohio State University, Columbus, OH 43210, USA
    J Theor Biol 276:199-208. 2011
  10. pmc Hypoxia inducible microRNA 210 attenuates keratinocyte proliferation and impairs closure in a murine model of ischemic wounds
    Sabyasachi Biswas
    Department of Surgery, Ohio State University Medical Center, Columbus, OH 43210, USA
    Proc Natl Acad Sci U S A 107:6976-81. 2010

Collaborators

Detail Information

Publications34

  1. ncbi A Bovine Babesiosis model with dispersion
    Avner Friedman
    Mathematical Bioscience Institute and Mathematics Department, The Ohio State University, Columbus, OH, 43210, USA
    Bull Math Biol 76:98-135. 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. ..
  2. doi Anthrax epizootic and migration: persistence or extinction
    Avner Friedman
    Mathematical Bioscience Institute and Mathematics Department, The Ohio State University, Columbus, Ohio 43210, USA
    Math Biosci 241:137-44. 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...
  3. doi Tumor cells proliferation and migration under the influence of their microenvironment
    Avner Friedman
    Department of Mathematics, Ohio State University, Columbus, OH 43210, United States
    Math Biosci Eng 8:371-83. 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...
  4. doi Interaction of tumor with its micro-environment: A mathematical model
    Yangjin Kim
    Mathematical Biosciences Institute, The Ohio State University, Columbus, 43210, USA
    Bull Math Biol 72:1029-68. 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 in-time solution...
  5. doi Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experiments
    Yangjin Kim
    Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA
    J Math Biol 61:401-21. 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...
  6. doi A partial differential equation model of metastasized prostatic cancer
    Avner Friedman
    Department of Mathematics, Ohio State University, Columbus, OH 43210, USA
    Math Biosci Eng 10:591-608. 2013
    ....
  7. pmc Mechanistic modeling of the effects of myoferlin on tumor cell invasion
    Marisa C Eisenberg
    Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA
    Proc Natl Acad Sci U S A 108:20078-83. 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...
  8. doi Modeling the inhibition of breast cancer growth by GM-CSF
    Barbara Szomolay
    Mathematical Biosciences Institute, The Ohio State University, USA
    J Theor Biol 303:141-51. 2012
    ....
  9. pmc Modeling the host response to inhalation anthrax
    Judy Day
    Mathematical Biosciences Institute, 3rd Floor Jennings Hall, The Ohio State University, Columbus, OH 43210, USA
    J Theor Biol 276:199-208. 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...
  10. pmc Hypoxia inducible microRNA 210 attenuates keratinocyte proliferation and impairs closure in a murine model of ischemic wounds
    Sabyasachi Biswas
    Department of Surgery, Ohio State University Medical Center, Columbus, OH 43210, USA
    Proc Natl Acad Sci U S A 107:6976-81. 2010
    ....
  11. pmc A mathematical model of CR3/TLR2 crosstalk in the context of Francisella tularensis infection
    Rachel Leander
    Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio, USA
    PLoS Comput Biol 8:e1002757. 2012
    ..The model confirms that phagocytosis-associated changes in the composition of the cell membrane can inhibit ERK activity and predicts that Akt and Ras-GAP synergize to inhibit ERK...
  12. pmc A mathematical model for chronic wounds
    Avner Friedman
    Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, United States
    Math Biosci Eng 8:253-61. 2011
    ..Preliminary results for the three-dimensional axially symmetric case are also included...
  13. ncbi Analysis of a model of a virus that replicates selectively in tumor cells
    Avner Friedman
    Department of Mathematics, Ohio State University, Columbus, OH 43210, USA
    J Math Biol 47:391-423. 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...
  14. pmc A mathematical model of venous neointimal hyperplasia formation
    Paula Budu-Grajdeanu
    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...
  15. ncbi Mathematical model of the roles of T cells in inflammatory bowel disease
    Wing Cheong Lo
    Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA
    Bull Math Biol 75:1417-33. 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...
  16. doi The role of CD200-CD200R in tumor immune evasion
    Kang Ling Liao
    Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA
    J Theor Biol 328:65-76. 2013
    ..Our results help understanding the complexities of tumor microenvironment...
  17. pmc Hypoxia inducible factors-mediated inhibition of cancer by GM-CSF: a mathematical model
    Duan Chen
    Mathematical Biosciences Institute, The Ohio State University, Columbus, OH, USA
    Bull Math Biol 74:2752-77. 2012
    ..For example, the model qualitatively predicts the extent to which GM-CSF treatment in combination with a small molecule inhibitor that stabilizes HIF-2α will reduce tumor volume and angiogenesis...
  18. pmc A mathematical model for microRNA in lung cancer
    Hye 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 let-7. It is quite possible that when such regulating factors become known and integrated into our model, they will further support our mathematical model...
  19. pmc Propagation of cutaneous thermal injury: a mathematical model
    Chuan Xue
    Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio, USA
    Wound Repair Regen 20:114-22. 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...
  20. pmc Mathematical modeling of interleukin-27 induction of anti-tumor T cells response
    Kang Ling Liao
    Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio, United States of America
    PLoS ONE 9:e91844. 2014
    ....
  21. doi Can malaria parasite pathogenesis be prevented by treatment with tumor necrosis factor-alpha?
    Avner Friedman
    MBI, Ohio State University, Columbus, OH 43210, USA
    Math Biosci Eng 10:609-24. 2013
    ..Our study is recommending administration of dual therapy as a strategy to prevent parasites from developing resistance to malaria treatment drugs. ..
  22. doi Mathematical model of colitis-associated colon cancer
    Wing Cheong Lo
    Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA
    J Theor Biol 317:20-9. 2013
    ..The model may serve as a conceptual framework for further data-based study of the early stage of colon cancer...
  23. ncbi Cell cycle control at the first restriction point and its effect on tissue growth
    Avner Friedman
    Department of Mathematics, Mathematical Biosciences Institute, The Ohio State University, 231 West 18th Avenue, Columbus, OH 43210, USA
    J Math Biol 60:881-907. 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)}...
  24. pmc Oxygen regulates the effective diffusion distance of nitric oxide in the aortic wall
    Xiaoping 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 48:554-9. 2010
    ..These results suggest that oxygen-dependent NO consumption may play an important role in dilating blood vessels during hypoxia by increasing the effective NO diffusion distance...
  25. pmc A mathematical model of ischemic cutaneous wounds
    Chuan Xue
    Mathematical Biosciences Institute and Department of Mathematics, Ohio State University, Columbus, OH 43210, USA
    Proc Natl Acad Sci U S A 106:16782-7. 2009
    ..Simulations of the model demonstrate how ischemic conditions may limit macrophage recruitment to the wound-site and impair wound closure. The results are in general agreement with experimental findings...
  26. pmc MicroRNA regulation of a cancer network: consequences of the feedback loops involving miR-17-92, E2F, and Myc
    Baltazar D Aguda
    Mathematical Biosciences Institute, Ohio State University, 1735 Neil Avenue, Columbus, OH 43210, USA
    Proc Natl Acad Sci U S A 105:19678-83. 2008
    ..Using the concept and model prediction of a "cancer zone," the oncogenic and tumor suppressor properties of miR-17-92 is demonstrated to parallel the same properties of E2F and Myc...
  27. pmc Tuberculosis research: going forward with a powerful "translational systems biology" approach
    Judy Day
    Mathematical Biosciences Institute, The Ohio State University, Jennings Hall, 3rd Floor, 1735 Neil Ave, Columbus, OH 43210, USA
    Tuberculosis (Edinb) 90:7-8. 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...
  28. pmc Modeling the immune rheostat of macrophages in the lung in response to infection
    Judy Day
    Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA
    Proc Natl Acad Sci U S A 106:11246-51. 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...
  29. pmc Choindroitinase ABC I-Mediated Enhancement of Oncolytic Virus Spread and Anti Tumor Efficacy: A Mathematical Model
    Yangjin 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. ..
  30. pmc Modeling oxygen transport in surgical tissue transfer
    Anastasios Matzavinos
    Department of Mathematics, Iowa State University, Ames, IA 50011, USA
    Proc Natl Acad Sci U S A 106:12091-6. 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...
  31. doi Fatal disease and demographic Allee effect: population persistence and extinction
    Avner Friedman
    Mathematical Bioscience Institute, The Ohio State University, Columbus, OH 43210, USA
    J Biol Dyn 6:495-508. 2012
    ..In addition, we prove that additional deaths due to a fatal infectious disease effectively increase the Allee threshold of the host population demographics...
  32. pmc Mathematical modeling of prostate cancer progression in response to androgen ablation therapy
    Harsh Vardhan Jain
    Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, USA
    Proc Natl Acad Sci U S A 108:19701-6. 2011
    ....
  33. ncbi A mathematical model for pattern formation of glioma cells outside the tumor spheroid core
    Yangjin Kim
    Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA
    J Theor Biol 260:359-71. 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...
  34. pmc Mathematical framework for human SLE Nephritis: disease dynamics and urine biomarkers
    Paula Budu-Grajdeanu
    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 pathogenic-based model of LN...