Yang Kuang
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Yang Kuang's Degrees
- PhD Computer Science Stanford University
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(Suggest an Edit or Addition)Yang Kuang's Published Works
Published Works
- Delay Differential Equations: With Applications in Population Dynamics (2012) (2561)
- To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic (2020) (971)
- Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters (2002) (559)
- Global qualitative analysis of a ratio-dependent predator–prey system (1998) (549)
- Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview (2006) (380)
- Global analysis of the Michaelis–Menten-type ratio-dependent predator-prey system (2001) (366)
- Uniqueness of limit cycles in Gause-type models of predator-prey systems (1988) (321)
- A stage structured predator-prey model and its dependence on maturation delay and death rate (2004) (314)
- Global analyses in some delayed ratio-dependent predator-prey systems (1998) (245)
- Stoichiometry in producer-grazer systems: Linking energy flow with element cycling (2000) (237)
- Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays. (2006) (221)
- Periodic Solutions of Periodic Delay Lotka–Volterra Equations and Systems☆ (2001) (202)
- Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response (2004) (193)
- Global stability for infinite delay Lotka-Volterra type systems (1993) (172)
- A ratio-dependent food chain model and its applications to biological control. (2003) (172)
- Dynamics of a delay differential equation model of hepatitis B virus infection (2008) (172)
- Predator-prey dynamics in models of prey dispersal in two-patch environments. (1994) (170)
- Wavefronts and global stability in a time-delayed population model with stage structure (2003) (166)
- Modeling and analysis of a marine bacteriophage infection. (1998) (163)
- Growth and neutral lipid synthesis in green microalgae: a mathematical model. (2011) (157)
- Rich dynamics of a ratio-dependent one-prey two-predators model (2001) (154)
- Mathematical Analysis of a Basic Virus Infection Model With Application to HBV Infection (2008) (135)
- Using phenomenological models for forecasting the 2015 Ebola challenge. (2016) (134)
- Competition and stoichiometry: coexistence of two predators on one prey. (2004) (132)
- Convergence Results in a Well-Known Delayed Predator-Prey System (1996) (123)
- Modeling and analysis of a marine bacteriophage infection with latency period (2001) (114)
- Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems (1997) (98)
- Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growth (2010) (97)
- Global stability of Gause-type predator-prey systems (1990) (95)
- Analysis of IVGTT glucose-insulin interaction models with time delay (2001) (90)
- A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection (2004) (88)
- A clinical data validated mathematical model of prostate cancer growth under intermittent androgen suppression therapy (2012) (84)
- Analysis of a Model of the Glucose-Insulin Regulatory System with Two Delays (2007) (83)
- Is West Africa Approaching a Catastrophic Phase or is the 2014 Ebola Epidemic Slowing Down? Different Models Yield Different Answers for Liberia (2014) (81)
- Analysis of a Delayed Two-Stage Population Model with Space-Limited Recruitment (1995) (79)
- Slowly oscillating periodic solutions of autonomous state-dependent delay equations (1992) (78)
- Introduction to Mathematical Oncology (2016) (75)
- Tumor-Immune Interaction, Surgical Treatment, and Cancer Recurrence in a Mathematical Model of Melanoma (2009) (75)
- Deterministic extinction effect of parasites on host populations (2003) (74)
- Global dynamics of a Predator-Prey model with Hassell-Varley Type functional response (2008) (71)
- Simple Food Chain in a Chemostat with Distinct Removal Rates (2000) (70)
- The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth. (2009) (69)
- Virtual glioblastoma: growth, migration and treatment in a three‐dimensional mathematical model (2009) (68)
- RICH DYNAMICS OF GAUSE-TYPE RATIO-DEPENDENT PREDATOR-PREY SYSTEM (1999) (64)
- Basic Properties of Mathematical Population Models (2002) (64)
- Global Stability in Delay Differential Systems without Dominating Instantaneous Negative Feedbacks (1995) (63)
- Biological stoichiometry of tumor dynamics: Mathematical models and analysis (2003) (61)
- Boundedness of Solutions of a Nonlinear Nonautonomous Neutral Delay Equation (1991) (57)
- Periodic solutions in periodic state-dependent delay equations and population models (2001) (55)
- Mathematical modeling and qualitative analysis of insulin therapies. (2007) (55)
- Dynamics of a mechanistically derived stoichiometric producer-grazer model (2008) (55)
- The evolutionary impact of androgen levels on prostate cancer in a multi-scale mathematical model (2010) (54)
- Stoichiometric plant-herbivore models and their interpretation. (2004) (53)
- Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional-differential systems (1997) (52)
- Cats protecting birds revisited (2005) (50)
- Permanence in Kolmogorov-Type Systems of Nonautonomous Functional Differential Equations (1996) (50)
- Dynamics of Stoichiometric Bacteria-Algae Interactions in the Epilimnion (2007) (48)
- Lotka re-loaded: Modeling trophic interactions under stoichiometric constraints (2012) (48)
- Biodiversity, habitat area, resource growth rate and interference competition (2003) (47)
- A viral load-based cellular automata approach to modeling HIV dynamics and drug treatment. (2008) (46)
- Heteroclinic Bifurcation in the Michaelis-Menten-Type Ratio-Dependent Predator-Prey System (2007) (46)
- Global stability in a nonlinear difference-delay equation model of flour beetle population growth (1996) (45)
- Limit cycles in a Chemostat-related model (1989) (45)
- Global Asymptotic Behavior of a Chemostat Model with Two Perfectly Complementary Resources and Distributed Delay (2000) (45)
- Dynamics of a plant–herbivore model (2008) (43)
- Enhanced modelling of the glucose–insulin system and its applications in insulin therapies (2009) (43)
- On neutral delay logistic gause-type predator-prey systems (1991) (41)
- Mechanisms of resistance to intermittent androgen deprivation in patients with prostate cancer identified by a novel computational method. (2014) (41)
- THE DYNAMICS OF A DELAY MODEL OF HBV INFECTION WITH LOGISTIC HEPATOCYTE GROWTH (2009) (40)
- Biological Stoichiometry: An Ecological Perspective on Tumor Dynamics (2003) (39)
- Dynamics of a Producer–Grazer Model Incorporating the Effects of Excess Food Nutrient Content on Grazer’s Growth (2014) (38)
- Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters (2019) (38)
- Nonuniqueness of Limit Cycles of Gause-Type Predator-Prey Systems (1988) (38)
- Mathematical Analysis of Glioma Growth in a Murine Model (2017) (38)
- Global attractivity and periodic solutions in delay-differential equations related to models in physiology and population biology (1992) (37)
- Mathematical Insights in Evaluating State Dependent Effectiveness of HIV Prevention Interventions (2013) (37)
- Global stability in diffusive delay Lotka-Volterra systems (1991) (36)
- Mathematically modeling the biological properties of gliomas: A review. (2015) (36)
- A Stage Structured Predator-Prey model and its Dependence on Through-Stage Delay and Death Rate (2003) (34)
- Global analysis of a stoichiometric producer–grazer model with Holling type functional responses (2011) (33)
- A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics. (2013) (32)
- Dynamics of a delay differential model of hepatitis B virus (2007) (32)
- Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection (2010) (32)
- Accurate state estimation from uncertain data and models: an application of data assimilation to mathematical models of human brain tumors (2011) (32)
- Can Mathematical Models Predict the Outcomes of Prostate Cancer Patients Undergoing Intermittent Androgen Deprivation Therapy (2014) (31)
- Systemically modeling the dynamics of plasma insulin in subcutaneous injection of insulin analogues for type 1 diabetes. (2008) (30)
- Global dynamics of a model of joint hormone treatment with dendritic cell vaccine for prostate cancer (2017) (29)
- Qualitative analysis of one- or two-species neutral delay population models (1992) (28)
- Host extinction dynamics in a simple parasite-host interaction model. (2005) (28)
- The roles of predator maturation delay and functional response in determining the periodicity of predator-prey cycles. (2009) (27)
- A data-motivated density-dependent diffusion model of in vitro glioblastoma growth. (2015) (27)
- Monotonic and oscillatory solutions of a linear neutral delay equation with infinite lag (1990) (26)
- Global stability for a class of nonlinear nonautonomous delay equations (1991) (25)
- Modeling the interaction of cytotoxic T lymphocytes and influenza virus infected epithelial cells. (2010) (25)
- Mathematical models of androgen resistance in prostate cancer patients under intermittent androgen suppression therapy (2016) (24)
- Tumour-immune dynamics with an immune checkpoint inhibitor (2018) (24)
- Rabbits killing birds revisited. (2006) (23)
- Stability and bifurcation of a stage-structured predator–prey model with both discrete and distributed delays (2013) (23)
- Global stability of infection-free state and endemic infection state of a modified human immunodeficiency virus infection model. (2015) (23)
- Convergence in Lotka-Volterra type diffusive delay systems without dominating instantaneous negative feedbacks (1993) (22)
- ANALYSES OF AN ANTIVIRAL IMMUNE RESPONSE MODEL WITH TIME DELAYS (2005) (22)
- Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria (1996) (22)
- Daphnia species invasion, competitive exclusion, and chaotic coexistence (2009) (22)
- Asymptotic Theory for a Class of Nonautonomous Delay Differential Equations (1992) (21)
- Predictability and identifiability assessment of models for prostate cancer under androgen suppression therapy. (2019) (21)
- Delay Differential Equations (2019) (20)
- Oscillatory dynamics of an intravenous glucose tolerance test model with delay interval. (2017) (20)
- Global Analysis for an HIV Infection Model with CTL Immune Response and Infected Cells in Eclipse Phase (2017) (20)
- Strictly nonautonomous cooperative system with a first integral (1993) (20)
- Modeling and analysis of stoichiometric two-patch consumer-resource systems. (2004) (19)
- Sharp conditions for oscillations in some nonlinear nonautonomous delay differential equations (1997) (18)
- Uniform Persistence in Nonautonomous Delay Differential Kolmogorov-Type Population Models (1993) (18)
- Quiescence as an explanation of Gompertzian tumor growth revisited. (2014) (18)
- Two-species competition with high dispersal: the winning strategy. (2005) (17)
- Dynamics of a neutral delay equation for an insect population with long larval and short adult phases (2009) (17)
- Some Global Qualitative Analyses of a Single Species Neutral Delay Differential Population Model (1995) (17)
- On neutral-delay two-species Lotka-Volterra competitive systems (1991) (17)
- Global dynamics in a stoichiometric food chain model with two limiting nutrients. (2017) (16)
- Mathematical models of the interrelated dynamics of hepatitis D and B. (2014) (16)
- A MATHEMATICAL MODEL FOR THE IMMUNOTHERAPY OF ADVANCED PROSTATE CANCER (2013) (16)
- Qualitative analysis of a nonautonomous nonlinear delay differential equation (1991) (15)
- The dynamics of a stoichiometric plant-herbivore model and its discrete analog. (2006) (15)
- Explicit Separation of Growth and Motility in a New Tumor Cord Model (2009) (15)
- Review: Mathematical Modeling of Prostate Cancer and Clinical Application (2020) (14)
- Uniqueness of limit cycles in Lie´nard-type equations (1990) (14)
- Dynamics of acute hepatitis B virus infection in chimpanzees (2014) (14)
- Convergence in Lotka–Volterra-type delay systems without instantaneous feedbacks (1993) (13)
- Traveling Waves of a Go-or-Grow Model of Glioma Growth (2018) (13)
- Patch models of EVD transmission dynamics (2016) (13)
- The Impact of Intermittent Androgen Suppression Therapy in Prostate Cancer Modeling (2018) (11)
- On the Location and Period of Limit Cycles in Gause-Type Predator-Prey Systems (1989) (11)
- An Epidemic Model With Post-Contact Prophylaxis of Distributed Length II. Stability and Oscillations if Treatment is Fully Effective (2008) (11)
- Modeling the dynamics of epidemic spreading on homogenous and heterogeneous networks (2015) (10)
- Global stability and persistence in diffusive food chains (2001) (10)
- Data Assimilation in Brain Tumor Models (2013) (10)
- Solutions and properties of some degenerate systems of difference equations (2015) (10)
- Stability and Bifurcation in a Stoichiometric Producer-Grazer Model with Knife Edge (2016) (10)
- Periodic Solutions in Periodic Delayed Gause-Type Predator-Prey Systems (2001) (10)
- Dynamics and implications of models for intermittent androgen suppression therapy. (2018) (9)
- Numerical solution of a model for brain cancer progression after therapy (2009) (8)
- Patient-specific parameter estimates of glioblastoma multiforme growth dynamics from a model with explicit birth and death rates (2019) (8)
- Stoichiometric Ecotoxicology for a Multisubstance World (2021) (8)
- A simple spatiotemporal rabies model for skunk and bat interaction in northeast Texas. (2012) (8)
- Can fractional differentiation improve stability results and data fitting ability of a prostate cancer model under intermittent androgen suppression therapy? (2020) (8)
- FLUCTUATION AND EXTINCTION DYNAMICS IN HOST-MICROPARASITE SYSTEMS (2011) (8)
- Mathematical modeling of an immune checkpoint inhibitor and its synergy with an immunostimulant (2021) (8)
- GLOBAL STABILITY IN A WELL KNOWN DELAYED CHEMOSTAT MODEL Communications in Applied Analysis, 4, 147{155(2000) (2005) (8)
- Limit cycles in Gause-type predator-prey systems (1988) (7)
- Nonoccurrence of stability switching in systems of differential equations with distributed delays (1994) (7)
- GLOBAL STABILITY IN ONE OR TWO SPECIES NEUTRAL DELAY POPULATION MODELS (2005) (7)
- Rich dynamics of a simple delay host-pathogen model of cell-to-cell infection for plant virus (2021) (7)
- An epidemic model with post-contact prophylaxis of distributed length I. Thresholds for disease persistence and extinction (2008) (7)
- Data and implication based comparison of two chronic myeloid leukemia models. (2013) (6)
- Notes on the stability of dynamic economic systems (2000) (6)
- Necessary and Sufficient Conditions for Global Attractivity of Hopfield-Type Neural Networks with Time Delays (2008) (6)
- Nutrient limitations as an explanation of Gompertzian tumor growth (2015) (6)
- A mathematical model of the dynamics for anti-HBV infection treatment with Peginterferon Alfa-2a (2008) (6)
- Modeling nutrient and disease dynamics in a plant-pathogen system. (2018) (5)
- Dynamics of a model of tumor-immune interaction with time delay and noise (2020) (5)
- Differences in Transcriptional Dynamics Between T-cells and Macrophages as Determined by a Three-State Mathematical Model (2020) (5)
- Numerical solution of threshold problems in epidemics and population dynamics (2015) (4)
- Modeling the Synergistic Properties of Drugs in Hormonal Treatment for Prostate Cancer. (2021) (4)
- Global dynamics in a tumor-immune model with an immune checkpoint inhibitor (2021) (4)
- Simple multi-scale modeling of the transmission dynamics of the 1905 plague epidemic in Bombay. (2018) (4)
- Alternative models for cyclic lemming dynamics. (2006) (4)
- Impact of Population Recruitment on the HIV Epidemics and the Effectiveness of HIV Prevention Interventions (2016) (4)
- Finiteness of limit cycles in planar autonomous systems (1989) (3)
- Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population (2017) (3)
- How ticks keep ticking in the adversity of host immune reactions (2018) (3)
- DENSITY-DEPENDENT DIFFUSION MODEL OF GLIOBLASTOMA GROWTH (2014) (3)
- Emergent Damped Oscillation Induced by Nutrient-Modulating Growth Feedback. (2021) (3)
- A SIMPLE SI MODEL WITH TWO AGE GROUPS AND ITS APPLICATION TO US HIV EPIDEMICS: TO TREAT OR NOT TO TREAT? (2007) (3)
- Intracellular Viral Life-cycle Induced Rich Dynamics in Tumor Virotherapy (2012) (3)
- Stability and Hopf bifurcation of a tumor-immune system interaction model with an immune checkpoint inhibitor (2022) (2)
- Stoichiometry, Ecological (2019) (2)
- COMPETITION BETWEEN PLASMID-BEARING AND PLASMID-FREE MICROORGANISMS IN A CHEMOSTAT WITH DISTINCT REMOVAL RATES (2005) (2)
- A review on delay differential equation models in diabetes modeling , II : the insulin therapies and the intracellular activities of β-cells case (2011) (2)
- Mechanisms of resistance to intermittent androgen deprivation in prostate cancer patients identified by a novel computational method (2014) (2)
- A Mathematical and Empirical Analysis of Stoichiometric Effects of Light Intensity on Daphnia Dynamics and Coexistence (2008) (2)
- Pharmacokinetical models of subcutaneous injection of insulin analogues for type 1 diabetes (2007) (2)
- SOME MECHANISTICALLY DERIVED FUNCTIONAL RESPONSES (2007) (2)
- Author ' s personal copy Mathematical modeling and qualitative analysis of insulin therapies q (2007) (2)
- A stoichiometric exception to the competitive exclusion principle (2001) (2)
- The Impact of Fractional Differentiation in Terms of Fitting for a Prostate Cancer Model Under Intermittent Androgen Suppression Therapy (2020) (2)
- Mathematics + Cancer: An Undergraduate "Bridge" Course in Applied Mathematics (2020) (2)
- Tumor Control, Elimination, and Escape through a Compartmental Model of Dendritic Cell Therapy for Melanoma (2020) (2)
- Existence of traveling wave solutions to data-driven glioblastoma multiforme growth models with density-dependent diffusion. (2020) (2)
- A Predictive Reaction-Diffusion Based Model of E.coliColony Growth Control (2021) (1)
- Extinction Effect of Parasites on Host Populations (2001) (1)
- Analysis of tumor-immune dynamics in a delayed dendritic cell therapy model. (2020) (1)
- Novel dynamics of a simple Daphnia-microparasite model with dose-dependent infection (2010) (1)
- Modeling B cell Dysfunction in HIV infection (2007) (1)
- Stoichiometry Of Tumor Dynamics : Models And Analysis (2004) (1)
- Stoichiometric producer-grazer models with varying nitrogen pools and ammonia toxicity (2014) (1)
- PERIODIC SOLUTIONS OF SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS (2004) (1)
- Dynamics of a delay difierential model of hepatitis B virus (2007) (1)
- From the guest editors: "Delay Differential Equations: Theory, Applications and New Trends" (2020) (1)
- Boundedness of Solutions in Neutral Delay Predator-Prey and Competition Systems (1991) (1)
- Resource Competition and Cell Quota in Cancer Models (2018) (1)
- Mathematical Biosciences and Engineering: From the guest editors (2009) (1)
- A MECHANISTIC DERIVATION OF THE LOGISTIC MODEL (2007) (1)
- Dynamics of a plant-herbivore model with applications to gypsy moth outbreaks (2007) (1)
- Global existence and uniqueness of classical solutions for a generalized quasilinear parabolic equation with application to a glioblastoma growth model. (2016) (1)
- TRAVELING WAVES OF A GOOR-GROW MODEL OF GLIOMA 1 GROWTH (2018) (1)
- A Predictive Reaction-diffusion Based Model of E. coli Colony Growth Control (2021) (1)
- Traveling wave speed and profile of a "go or grow" glioblastoma multiforme model (2022) (1)
- DYNAMICS OF A MODEL OF TUMOR-IMMUNE (2019) (0)
- Positive periodic solutions and nonlinear eigenvalue problems for functional di ff erential equations ∗ † ‡ (2016) (0)
- Approaching a Catastrophic Phase or is the 2014 Ebola Epidemic Slowing Down ? Different Models Yield Different Answers for (2018) (0)
- Prostate Cancer: PSA, AR, and ADT Dynamics (2018) (0)
- Plenary Talks (2019) (0)
- Introduction to Theory in Medicine (2018) (0)
- Discrete and Continuous Dynamical Systems - Series B: From the guest editors (2009) (0)
- Special Session 14 : Mathematical Models in Biology and Medicine (2012) (0)
- The Role of Proliferating Infected Hepatocytes on the Dynamics of an HBV-infected Liver (2010) (0)
- Physiologically Structured Tumor Growth (2018) (0)
- A nondegenerate convective-reaction-density-dependent diffusion model of in vitro glioblastoma tumor growth (2020) (0)
- Persistence for “ Kill the Winner ” and Nested Infection Lotka-Volterra Models (2016) (0)
- Monotone boundary dynamics generate a unique interior equilibrium and burst in general plant-herbivore models (2008) (0)
- Dynamics of a Producer–Grazer Model Incorporating the Effects of Excess Food Nutrient Content on Grazer’s Growth (2014) (0)
- A TWO PATCH MODEL FOR PLANT-HERBIVORE INTERACTIONS (2008) (0)
- Models of Chemotherapy (2018) (0)
- Phosphorus in the system is divided into two pools : phosphorus in the herbivore and phosphorus in the plant (2009) (0)
- Tumor growth dynamics with nutrient limitation and cell proliferation time delay (2017) (0)
- Preface for the Special Issue on Dynamical Models of Biology and Medicine (2019) (0)
- Editorial (2021) (0)
- Explicitly Separating Growth and Motility in a Glioblastoma Tumor Model (2016) (0)
- Intermittent abiraterone-acetate administration protocol and prognosis prediction for castrate-resistant prostate cancer. (2016) (0)
- Evolutionary Ecology of Cancer (2018) (0)
- Mathematical Analysis of Glioma Growth in a Murine Model (2017) (0)
- Introduction to Cancer Modeling (2018) (0)
- Modelling the Interaction of Cytotoxic T Lymphocytes and Epithelial Cells in Influenza ∗ (2008) (0)
- Emergent Oscillation Induced by Nutrient-Modulating Growth Feedback (2021) (0)
- Special issue: Resource explicit population models. (2019) (0)
- Dynamics of a Data Based Ovarian Cancer Growth and Treatment Model with Time Delay (2015) (0)
- A Predictive Reaction-Diffusion Based Model of <italic>E.coli</italic>Colony Growth Control (2021) (0)
- Volume Distributions of Metastatic Brain Tumors (2018) (0)
- Major Anticancer Chemotherapies (2018) (0)
- Coexistence and extinction in a data-based ratio-dependent model of an insect community. (2020) (0)
- Modeling insulin secretion ultradian oscillations with two time delays (2005) (0)
- 骨髄間葉系幹細胞への骨髄間葉系幹細胞の分化の役割【JST・京大機械翻訳】 (2016) (0)
- Learning Biological Dynamics From Spatio-Temporal Data by Gaussian Processes (2022) (0)
- A Synthetic Biology Approach to Sequential Stripe Patterning and Somitogenesis (2019) (0)
- Erratum to `Modeling and analysis of stoichiometric two-patch consumer–resource systems' by C.R. Miller, Y. Kuang, W.F. Fagan and J.J. Elser [Mathematical Biosciences 189 (2004) 153–184] (2004) (0)
- Integrated Systems and Technologies : Mathematical Oncology Mechanisms of Resistance to Intermittent Androgen Deprivation in Patients with Prostate Cancer Identi fi ed by a Novel Computational Method (2014) (0)
- Exosomes derived from nucleus pulposus cells induced bone marrow mesenchymal stem cells into nucleus pulposus like cells (2016) (0)
- Special Session 43: Dynamical systems in Biology and Medicine (2008) (0)
- Mathematical analysis and potential therapeutic implications of a novel HIV-1 model of basal and activated transcription in T-cells and macrophages (2020) (0)
- Rich Dynamics of a General Producer–Grazer Interaction Model under Shared Multiple Resource Limitations (2023) (0)
- Spatially Structured Tumor Growth (2018) (0)
- Existence and Stability of Positive Periodic Solutions to Functional Differential Equations (2016) (0)
- Natural History of Clinical Cancer (2018) (0)
- Preface toProceedings of the4th International Conference on Mathematical Biology (2008) (0)
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