Avner Friedman
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American mathematician
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Mathematics
Avner Friedman's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Avner Friedman Influential?
(Suggest an Edit or Addition)According to Wikipedia, Avner Friedman is Distinguished Professor of Mathematics and Physical Sciences at Ohio State University. His primary field of research is partial differential equations, with interests in stochastic processes, mathematical modeling, free boundary problems, and control theory.
Avner Friedman's Published Works
Published Works
- Partial Differential Equations of Parabolic Type (1983) (4347)
- Heterologous protection against influenza by injection of DNA encoding a viral protein. (1993) (2445)
- Foundations of modern analysis (1970) (1343)
- Variational principles and free-boundary problems (1982) (1265)
- Partial differential equations (1969) (1079)
- Stochastic Differential Equations and Applications (1975) (945)
- Blow-up of positive solutions of semilinear heat equations (1985) (630)
- Higher order nonlinear degenerate parabolic equations (1990) (454)
- Variational problems with two phases and their free boundaries (1984) (452)
- The IMA volumes in mathematics and its applications (1986) (396)
- MicroRNA regulation of a cancer network: Consequences of the feedback loops involving miR-17-92, E2F, and Myc (2008) (386)
- Hölder estimates for nonlinear degenerate parabolic sytems. (1985) (328)
- Preclinical efficacy of a prototype DNA vaccine: Enhanced protection against antigenic drift in influenza virus (1995) (325)
- Differential games (1971) (311)
- Priming of Cytotoxic T Lymphocytes by DNA Vaccines: Requirement for Professional Antigen Presenting Cells and Evidence for Antigen Transfer from Myocytes (1997) (310)
- Heterologous and homologous protection against influenza A by DNA vaccination: optimization of DNA vectors. (1993) (285)
- Nonlinear Parabolic Equations Involving Measures as Initial Conditions (1981) (284)
- Hypoxia inducible microRNA 210 attenuates keratinocyte proliferation and impairs closure in a murine model of ischemic wounds (2010) (257)
- Analysis of a mathematical model for the growth of tumors (1999) (255)
- Protective CD4+ and CD8+ T Cells against Influenza Virus Induced by Vaccination with Nucleoprotein DNA (1998) (240)
- The Stefan problem in several space variables (1968) (233)
- Determining Cracks by Boundary Measurements (1989) (224)
- Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence (1989) (204)
- Convexity of solutions of semilinear elliptic equations (1985) (200)
- Protective immunity by intramuscular injection of low doses of influenza virus DNA vaccines. (1994) (186)
- Glioma virotherapy: effects of innate immune suppression and increased viral replication capacity. (2006) (181)
- Generalized Functions and Partial Differential Equations (1964) (177)
- Wound angiogenesis as a function of tissue oxygen tension: A mathematical model (2008) (175)
- The asymptotic behavior of gas in an -dimensional porous medium (1980) (166)
- Regularity of solutions of nonlinear degenerate parabolic systems. (1984) (163)
- The LDL-HDL Profile Determines the Risk of Atherosclerosis: A Mathematical Model (2014) (162)
- On the Uniqueness in the Inverse Conductivity Problem with One Measurement (1988) (162)
- Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions (1986) (155)
- Regularity of the free boundary of a gas flow in an n-dimensional porous medium. (1980) (150)
- A Free Boundary Problem Arising in a Model of Wound Healing (2000) (150)
- Volterra integral equations in Banach space (1967) (148)
- Enhancement of DNA vaccine potency using conventional aluminum adjuvants. (1999) (142)
- Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth (2000) (138)
- Protective cellular immunity: cytotoxic T-lymphocyte responses against dominant and recessive epitopes of influenza virus nucleoprotein induced by DNA immunization (1997) (138)
- Modeling the immune rheostat of macrophages in the lung in response to infection (2009) (133)
- Parabolic variational inequalities in one space dimension and smoothness of the free boundary (1975) (131)
- Optimal stochastic switching and the Dirichlet problem for the Bellman equation (1979) (125)
- A hierarchy of cancer models and their mathematical challenges (2003) (121)
- The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary☆ (1999) (119)
- Mathematics in industrial problems (1997) (117)
- Blow-up of solutions of nonlinear degenerate parabolic equations (1986) (115)
- Transcriptome-wide analysis of blood vessels laser captured from human skin and chronic wound-edge tissue (2007) (114)
- A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth (2003) (114)
- Bifurcation From Stability to Instability for a Free Boundary Problem Arising in a Tumor Model (2006) (113)
- A mathematical model of ischemic cutaneous wounds (2009) (113)
- MATHEMATICAL ANALYSIS AND CHALLENGES ARISING FROM MODELS OF TUMOR GROWTH (2007) (112)
- The ill-posed Hele-Shaw model and the Stefan problem for supercooled water (1984) (108)
- Nonlinear eigenvalue problems (1968) (108)
- Evolution and ecology (2008) (107)
- Free Boundary Problems for Parabolic Equations I. Melting of Solids (1959) (106)
- The two-obstacle problem for the biharmonic operator. (1982) (105)
- The time-harmonic maxwell equations in a doubly periodic structure (1992) (105)
- Mathematical Analysis of a Model for the Initiation of Angiogenesis (2002) (104)
- Remarks on the maximum principle for parabolic equations and its applications. (1958) (104)
- A mathematical model for pattern formation of glioma cells outside the tumor spheroid core. (2009) (100)
- Nonlinear variational inequalities and differential games with stopping times (1974) (99)
- A mathematical model for pancreatic cancer growth and treatments. (2014) (97)
- Dose dependence of CTL precursor frequency induced by a DNA vaccine and correlation with protective immunity against influenza virus challenge. (1999) (96)
- Continuity of the density of a gas flow in a porous medium (1979) (95)
- The blow-up boundary for nonlinear wave equations (1986) (94)
- Regularity of the Free Boundary for the One-Dimensional Flow of Gas in a Porous Medium (1979) (92)
- Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. (2000) (92)
- Further protection against antigenic drift of influenza virus in a ferret model by DNA vaccination. (1997) (91)
- Analysis of a Mathematical Model of the Growth of Necrotic Tumors (2001) (90)
- Isometric Embedding of Riemannian Manifolds into Euclidean Spaces (1965) (90)
- Vortex rings: existence and asymptotic estimates (1981) (90)
- Maxwell’s equations in a periodic structure (1991) (89)
- Combination therapy of cancer with cancer vaccine and immune checkpoint inhibitors: A mathematical model (2017) (89)
- Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations (1985) (87)
- Asymptotic stability for a free boundary problem arising in a tumor model (2006) (87)
- Nonzero-sum stochastic differential games with stopping times and free boundary problems (1977) (86)
- Stability of solutions of chemotaxis equations in reinforced random walks (2002) (85)
- Mechanistic modeling of the effects of myoferlin on tumor cell invasion (2011) (85)
- Bifurcation for a Free Boundary Problem Modeling Tumor Growth by Stokes Equation (2007) (82)
- Symmetry‐breaking bifurcations of free boundary problems in three dimensions (2003) (81)
- The free boundary of a semilinear elliptic equation (1984) (80)
- Mathematical model on Alzheimer’s disease (2016) (78)
- A Free Boundary Problem for an Elliptic–Parabolic System: Application to a Model of Tumor Growth (2003) (76)
- Extinction properties of semilinear heat equations with strong absorption (1987) (76)
- Targeted delivery of peptide epitopes to class I major histocompatibility molecules by a modified Pseudomonas exotoxin. (1993) (76)
- A dynamical system model of neurofilament transport in axons. (2005) (75)
- A free boundary problem for quasilinear elliptic equations (1984) (73)
- Free boundary problems for parabolic equations (1970) (73)
- Stochastic differential games (1972) (72)
- A Mathematical Model of Atherosclerosis with Reverse Cholesterol Transport and Associated Risk Factors (2015) (71)
- Interaction of Tumor with Its Micro-environment: A Mathematical Model (2010) (71)
- Induction of MHC class I-restricted CTL response by DNA immunization with ubiquitin-influenza virus nucleoprotein fusion antigens. (1998) (71)
- Estimates on the support of solutions of parabolic variational inequalities (1976) (71)
- Asymptotic estimates for the plasma problem (1980) (70)
- Stability for an inverse problem in potential theory (1992) (70)
- Immunological parameters in meat-type chicken lines divergently selected by antibody response to Escherichia coli vaccination. (1992) (70)
- miR451 and AMPK Mutual Antagonism in Glioma Cell Migration and Proliferation: A Mathematical Model (2011) (69)
- Stochastic games and variational inequalities (1973) (68)
- A single point blow-up for solutions of semilinear parabolic systems (1987) (68)
- Mathematics in Industrial Problems: Part 5 (1988) (68)
- Mathematical modeling of prostate cancer progression in response to androgen ablation therapy (2011) (68)
- Stochastic Differential Equations (1975) (67)
- Small Random Perturbations of Dynamical Systems (1976) (67)
- Nonlinear stability of a quasi-static Stefan problem with surface tension : a continuation approach (1999) (66)
- A model of intracellular transport of particles in an axon (2005) (63)
- Interior Estimates for Parabolic Systems of Partial Differential Equations (1958) (63)
- Sex-related differences in immune response and survival rate of broiler chickens. (1989) (63)
- ANALYSIS OF A MATHEMATICAL MODEL OF TUMOR LYMPHANGIOGENESIS (2005) (63)
- The Shape of Axisymmetric Rotating Fluid (1980) (62)
- A free boundary problem for a singular system of differential equations: An application to a model of tumor growth (2003) (62)
- Modeling combination therapy for breast cancer with BET and immune checkpoint inhibitors (2018) (61)
- Optimal control in Banach spaces (1967) (61)
- Axially symmetric jet flows (1983) (60)
- Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: An application to a model of tumor growth (2003) (60)
- Differentiability of the blow-up curve for one dimensional nonlinear wave equations (1985) (59)
- Systems of nonlinear wave equations with nonlinear viscosity. (1988) (58)
- Remarks on nonlinear parabolic equations. (1965) (54)
- Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation (2007) (54)
- Analyticity of the free boundary for the Stefan problem (1976) (54)
- A Hyperbolic Free Boundary Problem Modeling Tumor Growth (2003) (54)
- Mathematical Modeling of Interleukin-27 Induction of Anti-Tumor T Cells Response (2014) (52)
- Effective permeability of the boundary of a domain (1995) (52)
- Mathematical model of sarcoidosis (2014) (52)
- Identification problems in potential theory (1988) (52)
- Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”. (1985) (51)
- Compressible flows of jets and cavities (1984) (50)
- Inverse problems for scattering by periodic structures (1995) (50)
- Convexity of the free boundary in the Stefan problem and in the dam problem (1977) (50)
- Optimal control for variational inequalities (1986) (50)
- Detection of mines by electric measurements (1987) (49)
- Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experiments (2010) (49)
- ON THE EXISTENCE OF SPATIALLY PATTERNED DORMANT MALIGNANCIES IN A MODEL FOR THE GROWTH OF NON-NECROTIC VASCULAR TUMORS (2001) (49)
- Bubble growth in porous media (1986) (49)
- Singular solutions of some quasilinear elliptic equations (1986) (49)
- The free boundary for elastic-plastic torsion problems (1979) (48)
- A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior (2005) (48)
- Symmetry-Breaking Bifurcations of Charged Drops (2004) (48)
- Blow-up of solutions of nonlinear heat equations (1988) (48)
- A vaccine carrier derived from Neisseria meningitidis with mitogenic activity for lymphocytes. (1992) (47)
- Periodic behaviour for the evolutionary dam problem and related free boundary problems Evolutionary dam problem (1986) (47)
- Jets with two fluids. I: One free boundary (1984) (47)
- Blow-up of solutions of nonlinear parabolic equations (1988) (47)
- A mathematical model of venous neointimal hyperplasia formation (2008) (46)
- Free boundary problems in science and technology (2000) (46)
- Complex role of NK cells in regulation of oncolytic virus–bortezomib therapy (2018) (45)
- The initial value problem for the linearized equations of water waves. (1967) (45)
- Approximate Traveling Waves in Linear Reaction-Hyperbolic Equations (2006) (45)
- Analysis of a model of a virus that replicates selectively in tumor cells (2003) (45)
- On integral equations of Volterra type (1963) (45)
- A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth (2006) (45)
- Asymmetric jet flows (1982) (45)
- A Mathematical Model for MicroRNA in Lung Cancer (2013) (44)
- Analysis of a free-boundary tumor model with angiogenesis (2015) (44)
- Reinforcement problems for elliptic equations and variational inequalities (1980) (43)
- Combination therapy for cancer with oncolytic virus and checkpoint inhibitor: A mathematical model (2018) (43)
- Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model (2008) (43)
- The asymptotic behaviour of a gas in an n-dimensional porous medium (1980) (43)
- Generalized Heat Transfer between Solids and Gases under Nonlinear Boundary Conditions (1959) (42)
- Modeling Granulomas in Response to Infection in the Lung (2016) (42)
- Nitric oxide diffusion rate is reduced in the aortic wall. (2008) (42)
- Mathematical model of renal interstitial fibrosis (2014) (41)
- Homogenization of the Cell Cytoplasm: The Calcium Bidomain Equations (2006) (41)
- Anthrax epizootic and migration: persistence or extinction. (2013) (41)
- Hyperpotentiation by Synthetic Double-Stranded RNA of Antibody Responses to Influenza Virus Vaccine in Adjuvant 65 (1969) (41)
- A boundary value problem for the poisson equation with multi-scale oscillating Boundary (1997) (41)
- Existence and dimensions of a rotating white dwarf (1981) (41)
- Cancer Models and Their Mathematical Analysis (2006) (40)
- Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems (2007) (40)
- ONE DIMENSIONAL STEFAN PROBLEMS WITH NONMONOTONE FREE BOUNDARY (1968) (40)
- 1 – Stochastic Processes (1975) (39)
- A new proof and generalizations of the Cauchy-Kowalewski theorem (1961) (39)
- The blow-up time for solutions of nonlinear heat equations with small diffusion (1987) (39)
- Optimal Stopping Problems in Stochastic Control (1979) (39)
- Mathematical Modeling of Interleukin-35 Promoting Tumor Growth and Angiogenesis (2014) (39)
- A free boundary problem for quasi-linear elliptic equations (1984) (39)
- Asymptotic stability and spiraling properties for solutions of stochastic equations (1973) (38)
- Functions satsifying the mean value property (1962) (38)
- Jets with two fluids. II: Two free boundaries (1984) (37)
- On the definition of differential games and the existence of value and of saddle points (1970) (37)
- The Role of Exosomes in Pancreatic Cancer Microenvironment (2018) (37)
- A model on the influence of age on immunity to infection with Mycobacterium tuberculosis (2008) (37)
- On the Regularity of the Solutions of Non-Linear Elliptic and Parabolic Systems of Partial Differential Equations (1958) (37)
- Combination therapy for melanoma with BRAF/MEK inhibitor and immune checkpoint inhibitor: a mathematical model (2017) (36)
- Hypoxia Inducible Factors-Mediated Inhibition of Cancer by GM-CSF: A Mathematical Model (2012) (36)
- A free boundary problem arising in magnetohydrodynamic system (1994) (36)
- Tutorials in Mathematical Biosciences III (2005) (36)
- Boundary Estimates for Second Order Parabolic Equations and Their Applications (1958) (36)
- Optimal control for parabolic equations. (1967) (35)
- Nonlinear stability of the Muskat problem with capillary pressure at the free boundary (2003) (34)
- Symmetry-breaking bifurcations for free boundary problems (2005) (34)
- Quasi-static motion of a capillary drop, II: the three-dimensional case (2002) (34)
- Asymptotic behavior of solutions of parabolic equations of any order (1961) (34)
- Regularity theorems for variational inequalities in unbounded domains and applications to stopping time problems (1973) (33)
- Convergence of Solutions of Parabolic Equations to a Steady State (1959) (33)
- Periodic solutions for a thermostat control problem (1988) (33)
- A filtration problem in a porous medium with variable permeability (1977) (33)
- The Cauchy Problem for First Order Partial Differential Equations (1973) (33)
- Asymptotic behavior of the principal eigenfunction for a singularly perturbed Dirichlet problem (1978) (32)
- A free boundary problem for steady small plaques in the artery and their stability (2015) (32)
- Modeling the inhibition of breast cancer growth by GM-CSF. (2012) (32)
- The Stefan problem for a hyperbolic heat equation (1989) (31)
- Singular perturbations for partial differential equations (1968) (31)
- Optimal control for parabolic variational inequalities (1987) (31)
- A Mathematical Model of Idiopathic Pulmonary Fibrosis (2015) (31)
- Choindroitinase ABC I-Mediated Enhancement of Oncolytic Virus Spread and Anti Tumor Efficacy: A Mathematical Model (2014) (31)
- The Stefan problem with small surface tension (1991) (30)
- The free boundary of a flow in a porous body heated from its boundary (1986) (30)
- Optimal control for hereditary processes (1964) (30)
- Asymptotic estimates for an axisymmetric rotating fluid (1980) (30)
- PDE problems arising in mathematical biology (2012) (29)
- Pore formation and mitogenicity in blood cells by the class 2 protein of Neisseria meningitidis. (1992) (29)
- Existence of value and of saddle points for differential games of pursuit and evasion (1970) (29)
- The clinical application of adjuvant 65. (1972) (29)
- Free boundary problems in biology (2015) (29)
- Identification of the conductivity coefficient in an elliptic equation (1987) (29)
- Modeling the host response to inhalation anthrax. (2011) (29)
- Exchange energy representations in computational micromagnetics (1998) (29)
- Fatal disease and demographic Allee effect: population persistence and extinction (2012) (28)
- Reinforcement problems in elasto-plasticity (1980) (28)
- Monotonicity of solutions of Volterra integral equations in Banach space (1969) (28)
- The thermistor problem for conductivity which vanishes at large temperature (1993) (27)
- Modeling prostate cancer response to continuous versus intermittent androgen ablation therapy (2013) (27)
- Industrial mathematics: a course in solving real-world problems (1994) (27)
- Free Boundary Problems Associated with Multiscale Tumor Models (2009) (27)
- Mathematical modeling of liver fibrosis. (2016) (27)
- Reinforcement of the principal eigenvalue of an elliptic operator (1980) (27)
- A quasilinear parabolic system arising in modelling of catalytic reactors (1987) (27)
- Models Of Cellular Regulation (2008) (26)
- Control of free boundary problem with hysteresis (1988) (26)
- The Stefan problem with kinetic condition at the free boundary (1965) (26)
- Propagation of cracks in elastic media (1996) (25)
- Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains (2000) (25)
- Blood Flow in a Compliant Vessel by the Immersed Boundary Method (2009) (25)
- Degenerate evolution equations in Hilbert space (1971) (25)
- The role of CD200-CD200R in tumor immune evasion. (2013) (25)
- The free boundary in the Thomas-Fermi atomic model (1979) (25)
- Modal analysis of homogeneous optical waveguides by the boundary integral formulation and the Nyström method (1998) (25)
- Regularity of the solution of the quasi variational inequality for the impulse control problem, II (1978) (24)
- Oxygen regulates the effective diffusion distance of nitric oxide in the aortic wall. (2010) (24)
- Blow-up estimates for a nonlinear hyperbolic heat equation (1989) (24)
- Mathematical model of chronic pancreatitis (2017) (24)
- Remarks on Stefan-Type Free Boundary Problems for Parabolic Equations (1960) (24)
- Involvement of Tumor Macrophage HIFs in Chemotherapy Effectiveness: Mathematical Modeling of Oxygen, pH, and Glutathione (2014) (23)
- Nonstationary filtration in partially saturated porous media (1994) (23)
- Immunogenicity and efficacy of DNA vaccines encoding influenza A proteins in aged mice. (1998) (23)
- Studies for safety of adjuvant 65. (1972) (23)
- Asymptotic behavior of solutions of linear stochastic differential systems (1973) (23)
- Qualitative network modeling of the Myc-p53 control system of cell proliferation and differentiation. (2011) (23)
- Analysis of a Mathematical Model of Ischemic Cutaneous Wounds (2009) (23)
- Combustion in a Porous Medium (1988) (23)
- Boundary asymptotics for solutions of the Poisson-Boltzmann equation (1987) (22)
- The dam problem with two layers (1978) (22)
- Axially symmetric cavities in rotational flows (1983) (22)
- Tumor cells proliferation and migration under the influence of their microenvironment. (2011) (22)
- A variational inequality approach to financial valuation of retirement benefits based on salary (2002) (22)
- A mathematical model of aortic aneurysm formation (2017) (21)
- Blowup of solutions of semilinear parabolic equations (1988) (21)
- Malaria model with periodic mosquito birth and death rates (2009) (21)
- Introduction to Mathematical Biology: Modeling, Analysis, and Simulations (2016) (21)
- Immune response to infection by Leishmania: A mathematical model. (2016) (21)
- Mathematical modeling in scheduling cancer treatment with combination of VEGF inhibitor and chemotherapy drugs. (2019) (21)
- A mathematical model for chronic wounds. (2011) (21)
- Asymptotic Behavior of Solutions of Parabolic Equations (1959) (20)
- A quality control problem and quasi-variational inequalities (1977) (20)
- Optimal design for heat conduction problems with hysteresis (1989) (20)
- Mean-values and polyharmonic polynomials. (1957) (20)
- Mathematical Model of the Roles of T Cells in Inflammatory Bowel Disease (2013) (20)
- Variational and free boundary problems (1993) (20)
- The analysis of coating flows near the contact line (1995) (20)
- Strict inequalities for integrals of decreasingly rearranged functions (1986) (20)
- On two theorems of Phragmén-Lindelöf for linear elliptic and parabolic differential equations of the second order. (1957) (20)
- Modeling oxygen transport in surgical tissue transfer (2009) (20)
- A Stefan problem for a protocell model (1999) (20)
- Phenomenological continuum equations to describe case II diffusion in polymeric materials (1997) (20)
- On Quasi-Linear Parabolic Equations of the Second Order II (1958) (20)
- A multiscale tumor model (2008) (19)
- Bounded entire solutions of elliptic equations. (1973) (19)
- Classes of solutions of linear systems of partial differential equations of parabolic type (1957) (19)
- Induction of immunity by DNA vaccination: application to influenza and tuberculosis. (1997) (19)
- Conduction-convection problems with change of phase (1986) (19)
- Asymptotic Analysis for the Narrow Escape Problem (2011) (19)
- A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions (2001) (19)
- The extensional flow of a thin sheet of incompressible, transversely isotropic fluid (2008) (19)
- The role of the cytokines IL-27 and IL-35 in cancer. (2015) (18)
- DNA vaccines for bacteria and viruses. (1996) (18)
- Regularity of Boundary of a Capillary Drop on an Inhomogeneous Plane and Related Variational Problems (1985) (18)
- Parameter identification in reaction-diffusion models (1992) (18)
- A transport model with micro- and macro-structure (1992) (18)
- Cancer as Multifaceted Disease (2012) (18)
- 17 – Stochastic Differential Games (1976) (18)
- Asymptotic phases in a cell differentiation model (2009) (18)
- Optimal Inspections in a Stochastic Control Problem with Costly Observations, II (1977) (17)
- Modeling the effects of resection, radiation and chemotherapy in glioblastoma (2009) (17)
- Nonattainability of a set by a diffusion process (1974) (17)
- Exosomal miRs in Lung Cancer: A Mathematical Model (2016) (17)
- The Evolution of Stress Intensity Factors and the Propagation of Cracks in Elastic Media (2000) (17)
- On the mesa problem (1987) (17)
- Granuloma formation in leishmaniasis: A mathematical model. (2017) (17)
- Mathematical Modeling of Biological Processes (2014) (17)
- Optimal design of domains with free-boundary problems (1991) (17)
- The Hele-Shaw problem with surface tension in a half-plane: A model problem (2005) (17)
- On a Multiphase Multicomponent Model of Biofilm Growth (2014) (17)
- Optimal control in Banach space with fixed end-points☆ (1968) (17)
- Optimal periodic control for the two-phase Stefan problem (1988) (17)
- The Hele–Shaw problem with surface tension in a half-plane (2005) (17)
- The Analysis of Coating Flows in a Strip (1995) (17)
- Serum uPAR as Biomarker in Breast Cancer Recurrence: A Mathematical Model (2016) (17)
- A strong maximum principle for weakly subparabolic functions (1961) (17)
- The space change problem (1990) (16)
- A two-phase free boundary problem with discontinuous velocity: Application to tumor model (2013) (16)
- Tuberculosis research: going forward with a powerful "translational systems biology" approach. (2010) (16)
- Parabolic equations of the second order (1959) (16)
- Nonlinear Optimal Control Problems for Parabolic Equations (1984) (16)
- Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys (1990) (16)
- Cavitational flow in a channel with oscillatory wall (1983) (16)
- A free boundary problem associated with crystallization of polymers in a temperature field (2001) (15)
- A non-stationary multi-scale oscillating free boundary for the laplace and heat equations (1997) (15)
- Asymptotics for the Biharmonic Equation near the tip of a Crack (1998) (15)
- Estimates on the Free Boundary for Quasi Variational Inequalities (1977) (15)
- A free boundary problem connected with non-steady filtration in porous media (1977) (15)
- A parabolic quasi-variational inequality arising in hydraulics (1975) (15)
- Mathematical methods and models in biomedicine (2013) (15)
- How to schedule VEGF and PD-1 inhibitors in combination cancer therapy? (2019) (14)
- Linear Algebra for Signal Processing. (1993) (14)
- Differential games of pursuit in Banach space (1969) (14)
- Exosomal microRNA concentrations in colorectal cancer: A mathematical model. (2017) (14)
- A Mathematical Model of CR3/TLR2 Crosstalk in the Context of Francisella tularensis Infection (2012) (14)
- The blow-up time for higher order semilinear parabolic equations with small leading coefficients (1988) (14)
- Existence of value and of saddle points for differential games of survival (1970) (14)
- Averaged motion of charged particles under their self-induced electric field (1994) (14)
- Cell cycle control at the first restriction point and its effect on tissue growth (2010) (13)
- Mathematical model of colitis-associated colon cancer. (2013) (13)
- Uniform Convergence for Approximate Traveling Waves in Linear Reaction–Diffusion–Hyperbolic Systems (2007) (13)
- Concavity of solutions of nonlinear ordinary differential equations (1988) (13)
- Chronic hepatitis B virus and liver fibrosis: A mathematical model (2018) (13)
- What Is Mathematical Biology and How Useful Is It (2010) (13)
- The inhomogeneous dam problem with discontinuous permeability (1987) (13)
- THE ROLE OF OXYGEN IN TISSUE MAINTENANCE: MATHEMATICAL MODELING AND QUALITATIVE ANALYSIS (2008) (13)
- Small Random Perturbations of Dynamical Systems and Applications to Parabolic Equations (1974) (13)
- A model of crystal precipitation (1989) (13)
- Quasistatic Motion of a Capillary Drop I: The Two-Dimensional Case (2001) (13)
- Bang-bang optimal control for the dam problem (1987) (13)
- Host Demographic Allee Effect, Fatal Disease, and Migration: Persistence or Extinction (2012) (12)
- A model of drug resistance with infection by health care workers. (2010) (12)
- Periodic behavior of solutions of Volterra integral equations (1965) (12)
- A Stefan problem for multidimensional reaction-diffusion systems (1996) (12)
- Differential games with restricted phase coordinates (1970) (12)
- Differentiability of solutions of ordinary differential equations in Hilbert space (1966) (12)
- Head-Media Interaction in Magnetic Recording (1997) (12)
- Ten-Year Follow-Up Study for Safety of Adjuvant 65 Influenza Vaccine in Man (1973) (12)
- Rheumatoid arthritis - a mathematical model. (2019) (12)
- On the Uniqueness of the Cauchy Problem for Parabolic Equations (1959) (12)
- Optimal design of an optical lens (1987) (12)
- Uniqueness for the Cauchy problem for degenerate parabolic equations. (1973) (12)
- A time-dependent free boundary problem modeling the visual image in electrophotography (1993) (12)
- Effects of CCN1 and Macrophage Content on Glioma Virotherapy: A Mathematical Model (2015) (12)
- A three dimensional model of wound healing: Analysis and computation (2012) (11)
- Auxiliary Results in Partial Differential Equations (1976) (11)
- Tutorials in mathematical biosciences. IV. Evolution and ecology (2008) (11)
- Mathematical framework for human SLE Nephritis: disease dynamics and urine biomarkers (2010) (11)
- The role of TNF-α inhibitor in glioma virotherapy: A mathematical model. (2016) (11)
- Asymptotic limit in a cell differentiation model with consideration of transcription (2012) (11)
- Asymptotic behavior for a coalescence problem (1993) (11)
- Introduction to Mathematical Biology (2016) (11)
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- Mathematical models for thermal imaging-an heuristic approach (1989) (0)
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- Nonlinear elastic-viscoelastic correspondence (1997) (0)
- Solutions to problems from previous parts (1995) (0)
- Pulse reflection from a randomly stratified medium (1990) (0)
- Avner Friedman Interview April 1978 (1978) (0)
- Amorphous and polysilicon devices (1994) (0)
- 2. Air Quality Modeling (1994) (0)
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- Comparison theorems; the Hamilton-Jacobi equation (2005) (0)
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- Some Problems Associated with Secure Information Flows in Computer Systems (1988) (0)
- Newtonian Coating Flows (2003) (0)
- Mass transport and adsorption in particle-loaded beds (1998) (0)
- Singularity problems in the stress analysis of semiconductor packaging (1990) (0)
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- Particle simulations for xerographic development (1994) (0)
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- Fundamental Problems in the Theory of Shaped-Charged Jets (1990) (0)
- Introduction to Special Issue on Industrial Mathematics (2002) (0)
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- Dealing with geometric Variations in manufacturing (1997) (0)
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- A Conservation Law Model for Ion Etching for Semiconductor Fabrication (1988) (0)
- Nonlinear effects in electrorheological fluids (1998) (0)
- Identification of objects of extreme conductivity by boundary measurements (1989) (0)
- Regularity Results for Quasiminima of Functionals with Non-polynomial Growth* (1992) (0)
- Real-world free boundary problems (1991) (0)
- The changing nature of network traffic analysis and modeling (1998) (0)
- Variable forgetting factors in Kalman filtering (1994) (0)
- Maxwell’s equations and the analysis of electromagnetic devices (1995) (0)
- Modeling exhaust-gas oxygen sensors (1994) (0)
- Scientific Description of Summer Semiconductor Program (1991) (0)
- A Bovine Babesiosis Model with Dispersion (2013) (0)
- Modeling of a building cooling system (1998) (0)
- person differential games (2005) (0)
- Systems of Two Differential Equations (2016) (0)
- The light field for diffusely scattering media (1998) (0)
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- 5. How Does a Catalytic Converter Function (1994) (0)
- Measuring coalescence rates (1998) (0)
- Head-disk interface in magnetic storage device (1991) (0)
- Linear analysis of megastructures (1991) (0)
- Correction to: Mathematical Model of Chronic Dermal Wounds in Diabetes and Obesity (2021) (0)
- Some problems in sequential analysis (1982) (0)
- A NEW PROOF AND GENERALIZATIONS OF THE (2016) (0)
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- Emerging Applications of Probability (Stochastic Models in Geosystems). (1994) (0)
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- Mathematics of blood analysis (1992) (0)
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- Support of the IMA summer program molecular biology. Final report (1995) (0)
- Mathematical modeling of cancer treatment with radiation and PD-L1 inhibitor (2020) (0)
- Terminally attached polymer chains (1991) (0)
- A diffusion model of droplet absorption (1997) (0)
- On Some Inequalities and Their Application to the Cauchy Problem (1963) (0)
- Mathematical problems in electrical well logging (1997) (0)
- Mathematical Modeling of Dielectric Waveguides (1990) (0)
- The Stability of Rapid Stretching Plastic Jets (1988) (0)
- Nonlinear Waves, Dynamical Systems and Other Applied Mathematics Programs (1991) (0)
- A diffusion problem from rock porosity measurements (1990) (0)
- Scaling and Optimization for List-Matching (1990) (0)
- Solution to problems from Part 2 (1990) (0)
- Topics in Tomography (1990) (0)
- Cell aging and renewal (2008) (0)
- Analysis of a mathematical model of rheumatoid arthritis (2020) (0)
- Existence theorems for generalized pursuit-evasion games (2005) (0)
- Engineering modeling of batteries (1995) (0)
- Reaction of Infectious Mononucleosis Sera with Cell Cultures Infected by Newcastle Disease Virus∗ (1968) (0)
- Convective-diffusive lattice-gas models for flow under shear (1997) (0)
- From molecules to a living cell (2008) (0)
- Seismic inversion for geophysical prospecting (1997) (0)
- Theory of polymer melt viscoelasticity (1990) (0)
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- Breast Cancer Exosomal microRNAs Facilitate Pre-Metastatic Niche Formation in the Bone: A Mathematical Model (2023) (0)
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- The Mathematical Treatment of Cavitation in Elastohydrodynamic Lubrication (1988) (0)
- Overcoming Drug Resistance to BRAF Inhibitor (2020) (0)
- A three-state model for gel electrophoresis (1991) (0)
- Some Fluid Mechanics Problems in U.K. Industry (1988) (0)
- Simulation of production metal cutting Processes (1998) (0)
- Evaluation of Naked Proviral DNA as a Vaccine for Ovine Lentivirus Infection (1994) (0)
- Sensor Management and Nonlinear Filtering Research (1998) (0)
- Global Existence for a Second-Order Thermo-mechanical Model of Shape Memory Alloys* (1992) (0)
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- Diffusion in swelling media: modeling and applications (1990) (0)
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- About the guest editors (2001) (0)
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- Gene-regulatory networks: from DNA to metabolites and back (2008) (0)
- Stress from trenches in semiconductor devices (1992) (0)
- A short random walk through polymer material behavior (1995) (0)
- A Close Encounter Problem of Random Walk in Polymer Physics (1988) (0)
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- Internal Oxidation of Binary Alloys (1990) (0)
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- Graduate Studies in Industrial Mathematics Workshop at the University of Minnesota , November 17 – 19 , 1995 (1998) (0)
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- MULTI-DIMENSIONAL QUALITY CONTROL PROBLEMS (2016) (0)
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- Multiple solutions in semiconductor device modeling (1989) (0)
- Geometric path planning in rapid prototyping (1995) (0)
- Modeling the performance of a piezoelectric gyroscope (1994) (0)
- Averaged equations for layered and blocky media (1992) (0)
- Predicting properties of composite materials (1992) (0)
- Energy considerations in a model of nematode sperm crawling. (2006) (0)
- Causal modeling in diagnosing complex industrial equipment (1997) (0)
- Pulse optimization for multi-user data communications (1995) (0)
- Correction to: “On the free boundary of a quasivariational inequality arising in a problem of quality control” [Trans. Amer. Math. Soc. 246 (1978), 95–110; MR 80f:93086c] (1980) (0)
- Questions about the Poisson equation in semiconductor problems (1997) (0)
- Synergy in Parallel Algorithms (1988) (0)
- Neurofilaments Transport in Axon (2014) (0)
- Free-boundary problems arising in processing of semiconductors (1993) (0)
- A cancer model with nonlocal free boundary dynamics (2022) (0)
- A Mathematical Model of Atherosclerosis with Reverse Cholesterol Transport and Associated Risk Factors (2014) (0)
- Feature detection and tracking in three dimensional image analysis (1995) (0)
- System of Two Linear Differential Equations (2016) (0)
- Doping profiling by inverse device methods (1995) (0)
- Chemostats and Competition Among Species (2014) (0)
- Conformation of random polymers (1990) (0)
- Simulation of magnetic recording and playback processes (1994) (0)
- Modeling, mesh generation and adaptive numerical methods for partial differential equations: IMA summer program. Final report, April 1, 1993--March 31, 1994 (1993) (0)
- Simplifying the structure of second order partial differential equations (1961) (0)
- An inverse problem arising in the evolution of combustion aerosols (1989) (0)
- Radar/Sonar and Time Series Analysis (1991) (0)
- On a Multiphase Multicomponent Model of Biofilm Growth (2013) (0)
- A Bayesian framework for computer vision (1992) (0)
- Upper and lower value of games of fixed duration (2005) (0)
- Mathematical problems in high-precision interferometric GPS (1997) (0)
- Comments on applied mathematics (1997) (0)
- Track reconstruction and data fusion (1994) (0)
- Mathematical Model of the Roles of T Cells in Inflammatory Bowel Disease (2013) (0)
- Systematic data fusion using the theory of random conditional sets (1994) (0)
- Mass transport in colloidal dispersions (1995) (0)
- Mathematical problems in color visualization (1992) (0)
- Model analysis of homogeneous optical waveguides by boundary integral method (1997) (0)
- Synchronization for chaotic dynamical systems (1997) (0)
- Workshop on Applications of Methods of Stochastic Systems and Statistical Physics in Biology (2005) (0)
- A model for titanium suicide film growth (1991) (0)
- Problems and applications in density-functional theory (1997) (0)
- Diffusion and Chemotaxis (2014) (0)
- Cancer therapy with immune checkpoint inhibitor and CSF-1 blockade: A mathematical model. (2022) (0)
- Solutions to problems from volume 1 (1989) (0)
- Modeling of electrostatic bell sprayers (1995) (0)
- Finite set statistics with applications to data fusion (1995) (0)
- Are Macrophages our friends or enemies (2014) (0)
- Combinatorial Problems Arising in Network Optimization (1988) (0)
- Graph spectra, connectivity, and spin glass models of associative memory (1989) (0)
- Mathematical Models for Manufacturable Josephson Junction Circuitry (1988) (0)
- ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF LINEAR STOCHASTIC DIFFERENTIAL SYSTEMSt1) (2010) (0)
- Crystal Growth — Ostwald Ripening (2003) (0)
- Image Reconstruction in Oil Refinery (1988) (0)
- Ideal forming theory (1992) (0)
- Pure, Applied, and Industrial Mathematics: Strength Through Connections (2000) (0)
- Simulation and modeling of updrain TMOS devices (1998) (0)
- Mathematical models of latent image formation (1989) (0)
- Modeling problems in magneto-optic recording (1989) (0)
- The thermistor problem with zero-one conductivity II (1991) (0)
- Correction to "On the Free Boundary of a Quasi-Variational Inequality Arising in a Problem of Quality Control" (1980) (0)
- Formation of photographic images (1997) (0)
- Preface (2019) (0)
- Solutions to problems from part 3 (1991) (0)
- 305 Novel Mathematical Algorithm With Diagnostic and Prognostic Value in Patients With Inflammatory Bowel Diseases (2015) (0)
- Mathematical modeling needs in optoelectronics (1997) (0)
- Modal Analysis of Homogeneous OpticalWaveguides by Boundary Integral MethodLei (1997) (0)
- Phase Change Problems with Void (1988) (0)
- Mathematical Modeling - IMA Summer Program for Graduate Students, August 3-28, 1992 (1992) (0)
- Randomized algorithms in industrial problems (1997) (0)
- Differential games with partial differential equations (2005) (0)
- Aerodynamic design with cfd (1991) (0)
- Mathematical and computational modelling tools (2008) (0)
- High Resolution Sonar Waveform Synthesis (1988) (0)
- Electrophotographic system models (1989) (0)
- Fluid and kinetic modeling for micromechanical structures (1994) (0)
- Existence of value for games of fixed duration (2005) (0)
- Micro and Macro Systems in Life Sciences (Preface) (2017) (0)
- A Selection of Applied Mathematics Problems (1988) (0)
- Role of myoferlin in regulation of cancer invasion (2013) (0)
- The eukaryotic cell-cycle engine (2008) (0)
- A mini-max pursuit evasion algorithm (1997) (0)
- A phenomenological model for case-II diffusion in polymers (1997) (0)
- Crystal Growth-Sidearm Precipitation (2003) (0)
- Computation of volume integrals in potential theory (1992) (0)
- Cell differentiation. (1992) (0)
- Adaptive focused beamforming (1989) (0)
- The Cameron–Martin–Girsanov Theorem (1975) (0)
- An adaptive feedforward approach to robot control (1991) (0)
- Stopping Time Problems and Stochastic Games (1976) (0)
- Simulations for etch/deposition profile evolution (1997) (0)
- Environmental studies: Mathematical, computational and statistical analyses. Final report, 1 July-31 December 1992 (1993) (0)
- 2 – Markov Processes (1975) (0)
- Current-voltage relations for electrolytic solutions (1990) (0)
- Solitons in non-homogeneous medium (1989) (0)
- Stability and angular behavior of solutions of stochastic differential equations (1972) (0)
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