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List of works by Avner Friedman

A MATHEMATICAL MODEL FOR CELL-INDUCED GEL COMPACTION IN VITRO

A Mathematical Model of CR3/TLR2 Crosstalk in the Context of Francisella tularensis Infection

scientific article published on January 1, 2012

A Mathematical Model of Idiopathic Pulmonary Fibrosis

scientific article published on 8 September 2015

A Parabolic-Hyperbolic Quasilinear System

scientific article published in June 2008

A Stefan Problem for Multidimensional Reaction-Diffusion Systems

scientific article published in September 1996

A Stefan Problem for a Protocell Model

scientific article published in January 1999

A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions

scientific article published in January 2001

A boundary value problem for the poisson equation with multi-scale oscillating Boundary

scientific article published in June 1997

A bovine babesiosis model with dispersion

scientific article published on 21 November 2013

A continuum mathematical model of endothelial layer maintenance and senescence

scientific article

A dynamical system model of neurofilament transport in axons

scientific article

A free boundary problem arising in electrophotography

scientific article published in January 1991

A free boundary problem for steady small plaques in the artery and their stability

scientific article published in August 2015

A free-boundary problem modeling loop dislocations in crystals

scientific article published in January 1992

A mathematical model for chronic wounds

scientific article published on April 1, 2011

A mathematical model for microRNA in lung cancer

scientific article

A mathematical model for pancreatic cancer growth and treatments

scientific article

A mathematical model for pattern formation of glioma cells outside the tumor spheroid core

scientific article published on 9 July 2009

A mathematical model of aortic aneurysm formation

scientific article

A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors

scientific article

A mathematical model of immunomodulatory treatment in myocardial infarction

scientific article published in 2022

A mathematical model of ischemic cutaneous wounds

scientific article published on 21 September 2009

A mathematical model of the multiple sclerosis plaque

scientific article published on 02 November 2020

A mathematical model of venous neointimal hyperplasia formation

scientific article

A model of drug resistance with infection by health care workers

scientific article published on October 1, 2010

A model of intracellular transport of particles in an axon

scientific article published on 13 July 2005

A model on the influence of age on immunity to infection with Mycobacterium tuberculosis

scientific article published on 15 December 2007

A non-stationary multi-scale oscillating free boundary for the laplace and heat equations

scientific article published in June 1997

A partial differential equation model of metastasized prostatic cancer

scientific article published on June 1, 2013

A three dimensional model of wound healing: Analysis and computation

scientific article published in July 2012

Alternate play in differential games

scientific article published in 1974

Analysis of a Mathematical Model of Ischemic Cutaneous Wounds

scientific article published in January 2010

Analysis of a mathematical model of immune response to fungal infection

scientific article published in 2021

Analysis of a mathematical model of rheumatoid arthritis

scientific article published on 05 March 2020

Analysis of a model of a virus that replicates selectively in tumor cells

scientific article published on June 12, 2003

Anthrax epizootic and migration: Persistence or extinction

scientific article published on November 5, 2012

Application of ecological and mathematical theory to cancer: New challenges

scientific article published in December 2015

Application of ecological and mathematical theory to cancer: New challenges

scientific article published in 2015

Asymptotic stability for a free boundary problem arising in a tumor model

scientific article published in August 2006

Asymptotics for the biharmonic equation near the tip of a crack

scientific article published in January 1998

Bifurcation From Stability to Instability for a Free Boundary Problem Arising in a Tumor Model

scientific article published on 20 January 2006

Bifurcation for a Free Boundary Problem Modeling Tumor Growth by Stokes Equation

scientific article published in January 2007

Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation

scientific article published in March 2007

Blood flow in a compliant vessel by the immersed boundary method

scientific article published on 13 March 2009

Blow-up of Solutions of Nonlinear Heat Equations

scientific article published in 1988

Can malaria parasite pathogenesis be prevented by treatment with tumor necrosis factor-alpha?

scientific article published on June 1, 2013

Cell and tissue engineering--taking cues from nature's engineering paradigm for developing, growing, and repairing tissues

scientific article published in September 2008

Cell cycle control at the first restriction point and its effect on tissue growth

scientific article published on 15 August 2009

Choindroitinase ABC I-mediated enhancement of oncolytic virus spread and anti tumor efficacy: a mathematical model

scientific article

Chronic hepatitis B virus and liver fibrosis: A mathematical model.

scientific article

Combination therapy for cancer with oncolytic virus and checkpoint inhibitor: A mathematical model.

scientific article published on 8 February 2018

Combination therapy for melanoma with BRAF/MEK inhibitor and immune checkpoint inhibitor: a mathematical model

scientific article published on 19 July 2017

Combination therapy of cancer with cancer vaccine and immune checkpoint inhibitors: A mathematical model

scientific article

Complex role of NK cells in regulation of oncolytic virus-bortezomib therapy

scientific article published on 23 April 2018

Correction to: Mathematical Model of Chronic Dermal Wounds in Diabetes and Obesity

scientific article published on 07 January 2021

Effects of CCN1 and Macrophage Content on Glioma Virotherapy: A Mathematical Model

scientific article

Energy considerations in a model of nematode sperm crawling

scientific article published in April 2006

Exosomal miRs in Lung Cancer: A Mathematical Model

scientific article

Exosomal microRNA concentrations in colorectal cancer: A mathematical model

scientific article published on 16 December 2016

Fatal disease and demographic Allee effect: population persistence and extinction

scientific article published on 2 November 2011

Free boundary problems in biology

scientific article published on September 2015

From the guest editors

scientific article published in June 2013

Glioma virotherapy: effects of innate immune suppression and increased viral replication capacity

scientific article published in February 2006

Granuloma formation in leishmaniasis: A mathematical model.

scientific article

Head-Media Interaction in Magnetic Recording

scientific article published in November 1997

Homogenization Approach to Light Scattering from Polymer-Dispersed Liquid Crystal Films

scientific article published in February 1992

How to schedule VEGF and PD-1 inhibitors in combination cancer therapy?

Hypoxia inducible factors-mediated inhibition of cancer by GM-CSF: a mathematical model

scientific article published on 17 October 2012

Hypoxia inducible microRNA 210 attenuates keratinocyte proliferation and impairs closure in a murine model of ischemic wounds

scientific article

Immune response to infection by Leishmania: A mathematical model

scientific article

Increase hemoglobin level in severe malarial anemia while controlling parasitemia: A mathematical model

scientific article published on 13 May 2020

Inflammatory Bowel Disease: How Effective Is TNF-α Suppression?

scientific article

Interaction of tumor with its micro-environment: A mathematical model

scientific article published on 12 November 2009

Involvement of tumor macrophage HIFs in chemotherapy effectiveness: mathematical modeling of oxygen, pH, and glutathione

scientific article

Isometric Embedding of Riemannian Manifolds into Euclidean Spaces

scientific article published in 1965

Linear Partial Differential Systems with an Additional Differential Equation at One Point

scientific article published in 1958

Malaria model with periodic mosquito birth and death rates

scientific article published on July 1, 2009

Mathematical Analysis of a Model for the Initiation of Angiogenesis

scientific article published in January 2002

Mathematical Model of Chronic Dermal Wounds in Diabetes and Obesity

scientific article published on 15 October 2020

Mathematical analysis of a modular network coordinating the cell cycle and apoptosis.

scientific article published in July 2005

Mathematical framework for human SLE Nephritis: disease dynamics and urine biomarkers

scientific article

Mathematical model for optimal use of sulfadoxine-pyrimethamine as a temporary malaria vaccine

scientific article published on 12 November 2009

Mathematical model of chronic pancreatitis

scientific article published on 24 April 2017

Mathematical model of colitis-associated colon cancer

scientific article published on September 28, 2012

Mathematical model of renal interstitial fibrosis

scientific article

Mathematical model of sarcoidosis

scientific article

Mathematical model of the roles of T cells in inflammatory bowel disease

scientific article published on 13 June 2013

Mathematical model on Alzheimer's disease

scientific article

Mathematical modeling in scheduling cancer treatment with combination of VEGF inhibitor and chemotherapy drugs

scientific article published on 20 November 2018

Mathematical modeling of Interleukin-35 promoting tumor growth and angiogenesis

scientific article

Mathematical modeling of interleukin-27 induction of anti-tumor T cells response

scientific article (publication date: 2014)

Mathematical modeling of liver fibrosis

scientific article published in February 2017

Mathematical modeling of preadipocyte fate determination

scientific article

Mathematical modeling of prostate cancer progression in response to androgen ablation therapy

scientific article published on November 21, 2011

Mechanistic modeling of the effects of myoferlin on tumor cell invasion

scientific article published on November 30, 2011

MicroRNA regulation of a cancer network: consequences of the feedback loops involving miR-17-92, E2F, and Myc

scientific article

Modeling Granulomas in Response to Infection in the Lung

scientific article

Modeling combination therapy for breast cancer with BET and immune checkpoint inhibitors

article published in the Proceedings of the National Academy of Sciences of the United States of America

Modeling oxygen transport in surgical tissue transfer

scientific article published on 13 July 2009

Modeling the effects of resection, radiation and chemotherapy in glioblastoma

scientific article published on 4 October 2008

Modeling the host response to inhalation anthrax

scientific article published on February 3, 2011

Modeling the immune rheostat of macrophages in the lung in response to infection

scientific article published on 22 June 2009

Modeling the inhibition of breast cancer growth by GM-CSF.

scientific article published on 28 March 2012

Nitric oxide diffusion rate is reduced in the aortic wall

scientific article

Overcoming Drug Resistance to BRAF Inhibitor

scientific article published on 14 January 2020

Oxygen regulates the effective diffusion distance of nitric oxide in the aortic wall

scientific article

Preface

scientific article published on 01 February 2017

Propagation of cutaneous thermal injury: A mathematical model

scientific article published on December 30, 2011

Qualitative Network Modeling of the Myc-p53 Control System of Cell Proliferation and Differentiation

scientific article published on November 2, 2011

Rheumatoid arthritis - a mathematical model

scientific article published on 19 October 2018

Serum uPAR as Biomarker in Breast Cancer Recurrence: A Mathematical Model

scientific article

Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model

scientific article published on 27 February 2008

THE ROLE OF OXYGEN IN TISSUE MAINTENANCE: MATHEMATICAL MODELING AND QUALITATIVE ANALYSIS

scientific article published in August 2008

TNF-α inhibitor reduces drug-resistance to anti-PD-1: A mathematical model

scientific article published on 20 April 2020

The Diffusion Approximation for Linear Nonautonomous Reaction-Hyperbolic Equations

scientific article published in January 2013

The Evolution of Stress Intensity Factors and the Propagation of Cracks in Elastic Media

scientific article published in May 2000

The LDL-HDL profile determines the risk of atherosclerosis: a mathematical model

scientific article

The Role of Exosomes in Pancreatic Cancer Microenvironment

scientific article published on 5 April 2017

The Stefan problem in several space variables

scientific article published in 1968

The evolution of stress intensity factors in the propagation of two dimensional cracks

scientific article published in October 2000

The extensional flow of a thin sheet of incompressible, transversely isotropic fluid

The role of CD200–CD200R in tumor immune evasion

scientific article published on March 28, 2013

The role of TNF-α inhibitor in glioma virotherapy: A mathematical model

scientific article

The role of the cytokines IL-27 and IL-35 in cancer

scientific article

The wave equation for differential forms

scientific article published in 1961

Transcriptome-wide analysis of blood vessels laser captured from human skin and chronic wound-edge tissue

scientific article

Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experiments

scientific article published on 10 November 2009

Tuberculosis research: going forward with a powerful "translational systems biology" approach

scientific article published on 4 January 2010

Tumor cells proliferation and migration under the influence of their microenvironment

scientific article published on April 2011

Uniform Convergence for Approximate Traveling Waves in Linear Reaction–Diffusion–Hyperbolic Systems

scientific article published on 11 September 2007

Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems

scientific article published in January 2007

Wound angiogenesis as a function of tissue oxygen tension: a mathematical model

scholarly article

miR451 and AMPK Mutual Antagonism in Glioma Cell Migration and Proliferation: A Mathematical Model

scientific article published on December 20, 2011