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Research Output 1988 2019

2019
2 Citations (Scopus)

Dynamics and implications of models for intermittent androgen suppression therapy

Phan, T., He, C., Martinez, A. & Kuang, Y., Jan 1 2019, In : Mathematical Biosciences and Engineering. 16, 1, p. 187-204 18 p.

Research output: Contribution to journalArticle

Cell Population
androgens
Androgens
Therapy
Population Structure

Modeling nutrient and disease dynamics in a plant-pathogen system

Pell, B., Kendig, A. E., Borer, E. T. & Kuang, Y., Jan 1 2019, In : Mathematical Biosciences and Engineering. 16, 1, p. 234-264 31 p.

Research output: Contribution to journalArticle

Pathogens
Nutrients
plant pathogens
Food
nutrients

Predictability and identifiability assessment of models for prostate cancer under androgen suppression therapy

Wu, Z., Phan, T., Baez, J., Kuang, Y. & Kostelich, E., Jan 1 2019, In : Mathematical Biosciences and Engineering. 16, 5, p. 3512-3536 25 p.

Research output: Contribution to journalArticle

Open Access
Prostate Cancer
Identifiability
prostatic neoplasms
Predictability
androgens

Preface for the special issue on dynamical models of biology and medicine

Kuang, Y., Fan, M., Liu, S. & Ma, W., Jun 1 2019, In : Applied Sciences (Switzerland). 9, 11, 2380.

Research output: Contribution to journalEditorial

Open Access
biology
medicine
Medicine

Special issue: Resource explicit population models

Kuang, Y., Peace, A. & Wang, H., Jan 1 2019, In : Mathematical Biosciences and Engineering. 16, 1, p. 538-540 3 p.

Research output: Contribution to journalEditorial

Open Access
Population Model
Resources
Population
2018

Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters

An, Q., Beretta, E., Kuang, Y., Wang, C. & Wang, H., Jan 1 2018, (Accepted/In press) In : Journal of Differential Equations.

Research output: Contribution to journalArticle

Stability Switch
Delay-dependent
Delay Differential Equations
Discrete Delay
Differential equations

How ticks keep ticking in the adversity of host immune reactions

Jennings, R., Kuang, Y., Thieme, H., Wu, J. & Wu, X., Jan 1 2018, (Accepted/In press) In : Journal of Mathematical Biology.

Research output: Contribution to journalArticle

Antigen-antibody reactions
Population dynamics
Ticks
ticks
Immunity
1 Citation (Scopus)

Simple multi-scale modeling of the transmission dynamics of the 1905 plague epidemic in Bombay

Pell, B., Phan, T., Rutter, E. M., Chowell, G. & Kuang, Y., Jan 1 2018, (Accepted/In press) In : Mathematical Biosciences.

Research output: Contribution to journalArticle

Multiscale Modeling
Plague
plague
Exponential Growth
Disease Outbreaks
2 Citations (Scopus)

The impact of intermittent androgen suppression therapy in prostate cancer modeling

Phan, T., Nguyen, K., Sharma, P. & Kuang, Y., Dec 22 2018, In : Applied Sciences (Switzerland). 9, 1, 36.

Research output: Contribution to journalArticle

Androgens
therapy
cancer
retarding
serums

Traveling waves of a go-or-grow model of glioma growth

Stepien, T. L., Rutter, E. M. & Kuang, Y., Jan 1 2018, In : SIAM Journal on Applied Mathematics. 78, 3, p. 1778-1801 24 p.

Research output: Contribution to journalArticle

Traveling Wave
Tumors
Cells
Tumor
Cell
5 Citations (Scopus)

Tumour-immune dynamics with an immune checkpoint inhibitor

Nikolopoulou, E., Johnson, L. R., Harris, D., Nagy, J. D., Stites, E. C. & Kuang, Y., Jun 30 2018, In : Letters in Biomathematics. 5, sup1, p. S137-S159

Research output: Contribution to journalArticle

Checkpoint
Inhibitor
Tumors
Tumor
Neoplasms
2017
1 Citation (Scopus)

Global analysis for an HIV infection model with CTL immune response and infected cells in eclipse phase

Allali, K., Danane, J. & Kuang, Y., Aug 21 2017, In : Applied Sciences (Switzerland). 7, 8, 861.

Research output: Contribution to journalArticle

human immunodeficiency virus
T-cells
lymphocytes
eclipses
infectious diseases
4 Citations (Scopus)

Global dynamics in a stoichiometric food chain model with two limiting nutrients

Chen, M., Fan, M. & Kuang, Y., Jul 1 2017, In : Mathematical Biosciences. 289, p. 9-19 11 p.

Research output: Contribution to journalArticle

Food Chain Model
Stoichiometry
Food Chain
Global Dynamics
Nutrients
7 Citations (Scopus)

Global dynamics of a model of joint hormone treatment with dendritic cell vaccine for prostate cancer

Rutter, E. M. & Kuang, Y., May 1 2017, In : Discrete and Continuous Dynamical Systems - Series B. 22, 3, p. 1001-1021 21 p.

Research output: Contribution to journalArticle

Dendritic Cells
Prostate Cancer
Vaccines
Global Dynamics
Vaccine

Global existence and uniqueness of classical solutions for a generalized quasilinear parabolic equation with application to a glioblastoma growth model

Wen, Z., Fan, M., Asiri, A. M., Alzahrani, E. O., El-Dessoky, M. M. & Kuang, Y., Apr 1 2017, In : Mathematical Biosciences and Engineering. 14, 2, p. 407-420 14 p.

Research output: Contribution to journalArticle

Quasilinear Parabolic Equations
Glioblastoma
Growth Model
Classical Solution
growth models

Mathematical analysis of an SIR network model with imperfect vaccination and varying size of population

Hu, Y., Min, L., Su, Y. & Kuang, Y., Jan 20 2017, Proceedings of the 8th International Conference on Computer Modeling and Simulation, ICCMS 2017. Association for Computing Machinery, Vol. Part F128047. p. 7-13 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Medical problems
Defects
7 Citations (Scopus)

Mathematical Analysis of Glioma Growth in a Murine Model

Rutter, E. M., Stepien, T. L., Anderies, B. J., Plasencia, J. D., Woolf, E. C., Scheck, A. C., Turner, G. H., Liu, Q., Frakes, D., Kodibagkar, V., Kuang, Y., Preul, M. C. & Kostelich, E., Dec 1 2017, In : Scientific Reports. 7, 1, 2508.

Research output: Contribution to journalArticle

Glioma
Growth
Neoplasms
Glioblastoma
Tumor Burden
4 Citations (Scopus)

Oscillatory dynamics of an intravenous glucose tolerance test model with delay interval

Shi, X., Kuang, Y., Makroglou, A., Mokshagundam, S. & Li, J., Nov 1 2017, In : Chaos. 27, 11, 114324.

Research output: Contribution to journalArticle

Glucose
glucose
Tolerance
Time delay
time lag

Tumor growth dynamics with nutrient limitation and cell proliferation time delay

Alsheri, A., Alzahrani, E. O., Asiri, A., El-Dessoky, M. M. & Kuang, Y., Dec 1 2017, In : Discrete and Continuous Dynamical Systems - Series B. 22, 10, p. 3771-3782 12 p.

Research output: Contribution to journalArticle

Cell Proliferation
Tumor Growth
Cell proliferation
Nutrients
Tumors
2016

Impact of Population Recruitment on the HIV Epidemics and the Effectiveness of HIV Prevention Interventions

Zhao, Y., Wood, D. T., Kojouharov, H. V., Kuang, Y. & Dimitrov, D. T., Oct 1 2016, In : Bulletin of Mathematical Biology. 78, 10, p. 2057-2090 34 p.

Research output: Contribution to journalArticle

human immunodeficiency virus
HIV
Population
demographic statistics
Demography
21 Citations (Scopus)

Introduction to mathematical oncology

Kuang, Y., Nagy, J. D. & Eikenberry, S. E., Apr 5 2016, CRC Press. 453 p.

Research output: Book/ReportBook

Oncology
Cancer
Tumor Growth
Neoplasms
neoplasms
5 Citations (Scopus)
Prostate Cancer
Therapy
Mathematical Model
Mathematical models
Antigens
3 Citations (Scopus)

Nutrient limitations as an explanation of gompertzian tumor growth

Alzahrani, E. O. & Kuang, Y., Mar 1 2016, In : Discrete and Continuous Dynamical Systems - Series B. 21, 2, p. 357-372 16 p.

Research output: Contribution to journalArticle

Tumor Growth
Nutrients
Tumors
Tumor
Compartment Model
3 Citations (Scopus)

Patch models of EVD transmission dynamics

Pell, B., Baez, J., Phan, T., Gao, D., Chowell, G. & Kuang, Y., Jan 1 2016, Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases. Springer International Publishing, p. 147-167 21 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Patch
Forecasting
Logistic Models
Logistic Model
Infectious Disease Transmission
110 Citations (Scopus)

Prevention and Control of Zika as a Mosquito-Borne and Sexually Transmitted Disease: A Mathematical Modeling Analysis

Gao, D., Lou, Y., He, D., Porco, T. C., Kuang, Y., Chowell, G. & Ruan, S., Jun 17 2016, In : Scientific Reports. 6, 28070.

Research output: Contribution to journalArticle

Sexually Transmitted Diseases
Culicidae
Basic Reproduction Number
Human Bites
El Salvador
1 Citation (Scopus)

Stability and bifurcation in a stoichiometric producer-grazer model with knife edge

Yang, X., Li, X., Wang, H. & Kuang, Y., 2016, In : SIAM Journal on Applied Dynamical Systems. 15, 4, p. 2051-2077 27 p.

Research output: Contribution to journalArticle

Bifurcation
Nutrients
Model
Chemotherapy
Nucleic acids
9 Citations (Scopus)

Using phenomenological models for forecasting the 2015 Ebola challenge

Pell, B., Kuang, Y., Viboud, C. & Chowell, G., Jun 30 2016, (Accepted/In press) In : Epidemics.

Research output: Contribution to journalArticle

Growth
Logistic Models
Disease Outbreaks
Reproduction
Incidence
2015
13 Citations (Scopus)

A data-motivated density-dependent diffusion model of in vitro glioblastoma growth

Stepien, T. L., Rutter, E. M. & Kuang, Y., Dec 1 2015, In : Mathematical Biosciences and Engineering. 12, 6, p. 1157-1172 16 p.

Research output: Contribution to journalArticle

Diffusion Model
Glioblastoma
Proliferation
Migration
Dependent
12 Citations (Scopus)

Age-structured and delay differential-difference model of hematopoietic stem cell dynamics

Adimy, M., Chekroun, A., Touaoula, T. M. & Kuang, Y., Nov 1 2015, In : Discrete and Continuous Dynamical Systems - Series B. 20, 9, p. 2765-2791 27 p.

Research output: Contribution to journalArticle

Stem Cells
Stem cells
Cell
Cells
Mathematical models
4 Citations (Scopus)

Dynamics of a Data Based Ovarian Cancer Growth and Treatment Model with Time Delay

Everett, R. A., Nagy, J. D. & Kuang, Y., Sep 30 2015, (Accepted/In press) In : Journal of Dynamics and Differential Equations.

Research output: Contribution to journalArticle

Ovarian Cancer
Angiogenesis
Time Delay
Tumor Growth
Cell
7 Citations (Scopus)

Global stability of infection-free state and endemic infection state of a modified human immunodeficiency virus infection model

Sun, Q., Min, L. & Kuang, Y., Jun 1 2015, In : IET Systems Biology. 9, 3, p. 95-103 9 p.

Research output: Contribution to journalArticle

Virus Diseases
Global Stability
Viruses
Virus
Infection
14 Citations (Scopus)

Mathematically modeling the biological properties of gliomas: A review

Martirosyan, N. L., Rutter, E. M., Ramey, W. L., Kostelich, E., Kuang, Y. & Preul, M. C., Aug 1 2015, In : Mathematical Biosciences and Engineering. 12, 4, p. 879-905 27 p.

Research output: Contribution to journalArticle

Glioma
neoplasms
Tumors
Tumor
mathematical models
7 Citations (Scopus)

Modeling the dynamics of epidemic spreading on homogenous and heterogeneous networks

Hu, Y., Min, L. & Kuang, Y., Nov 2 2015, In : Applicable Analysis. 94, 11, p. 2308-2330 23 p.

Research output: Contribution to journalArticle

Epidemic Spreading
Heterogeneous networks
Heterogeneous Networks
Globally Asymptotically Stable
Modeling
1 Citation (Scopus)

Numerical solution of threshold problems in epidemics and population dynamics

Bartoszewski, Z., Jackiewicz, Z. & Kuang, Y., May 1 2015, In : Journal of Computational and Applied Mathematics. 279, p. 40-56 17 p.

Research output: Contribution to journalArticle

Population dynamics
Population Dynamics
Numerical Solution
Runge Kutta methods
Runge-Kutta Methods
7 Citations (Scopus)

Solutions and properties of some degenerate systems of difference equations

Alzahrani, E. O., El-Dessoky, M. M., Elsayed, E. M. & Kuang, Y., Feb 1 2015, In : Journal of Computational Analysis and Applications. 18, 2, p. 321-333 13 p.

Research output: Contribution to journalArticle

System of Difference Equations
Difference equations
Rational Difference Equation
Age Structure
Population Growth
7 Citations (Scopus)

Spreading speeds and traveling wave solutions in cooperative integral-differential systems

Hu, C., Kuang, Y., Li, B. & Liu, H., Aug 1 2015, In : Discrete and Continuous Dynamical Systems - Series B. 20, 6, p. 1663-1684 22 p.

Research output: Contribution to journalArticle

Spreading Speed
Traveling Wave Solutions
Differential System
Determinacy
Cooperative Systems
2014
1 Citation (Scopus)

Assessing the public health impact of HIV interventions: The critical role of demographics

Dimitrov, D., Kuang, Y. & Mâsse, B. R., Jun 1 2014, In : Journal of Acquired Immune Deficiency Syndromes. 66, 2

Research output: Contribution to journalArticle

Anti-Retroviral Agents
Infectious Disease Transmission
Highly Active Antiretroviral Therapy
HIV Infections
Public Health
16 Citations (Scopus)

Can mathematical models predict the outcomes of prostate cancer patients undergoing intermittent androgen deprivation therapy?

Everett, R. A., Packer, A. M. & Kuang, Y., 2014, In : Biophysical Reviews and Letters. 9, 2, p. 173-191 19 p.

Research output: Contribution to journalArticle

Androgens
Prostatic Neoplasms
Theoretical Models
Prostate-Specific Antigen
Testosterone
8 Citations (Scopus)

Dynamics of acute hepatitis B virus infection in chimpanzees

Chen, X., Min, L., Zheng, Y., Kuang, Y. & Ye, Y., 2014, In : Mathematics and Computers in Simulation. 96, p. 157-170 14 p.

Research output: Contribution to journalArticle

Viruses
Acute
Virus
Infection
DNA
13 Citations (Scopus)

Dynamics of a producer-grazer model incorporating the effects of excess food nutrient content on grazer's growth

Peace, A., Wang, H. & Kuang, Y., Sep 1 2014, In : Bulletin of Mathematical Biology. 76, 9, p. 2175-2197 23 p.

Research output: Contribution to journalArticle

Nutrients
Excess
nutrient content
Food
food
5 Citations (Scopus)

Mathematical models of the interrelated dynamics of hepatitis D and B

Packer, A., Forde, J., Hews, S. & Kuang, Y., Jan 2014, In : Mathematical Biosciences. 247, 1, p. 38-46 9 p.

Research output: Contribution to journalArticle

hepatitis D
Hepatitis delta virus
Hepatitis D
Hepatitis Delta Virus
hepatitis B
17 Citations (Scopus)

Mechanisms of resistance to intermittent androgen deprivation in patients with prostate cancer identified by a novel computational method

Morken, J. D., Packer, A., Everett, R. A., Nagy, J. D. & Kuang, Y., Jul 15 2014, In : Cancer Research. 74, 14, p. 3673-3683 11 p.

Research output: Contribution to journalArticle

Androgens
Prostatic Neoplasms
Prostate-Specific Antigen
Cell Death
Castration
10 Citations (Scopus)
Population Model
Paradox
Traveling Wave Solutions
Local Error Estimation
Numerical Simulation

Preface - DIEBM 2010

Makroglou, A., Bocharov, G., Fitt, A., Flessas, G., Kuang, Y. & Tsokaros, A., 2014, In : Mathematics and Computers in Simulation. 96, p. 1-3 3 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Quiescence as an explanation of Gompertzian tumor growth revisited

Alzahrani, E. O., Asiri, A., El-Dessoky, M. M. & Kuang, Y., 2014, In : Mathematical Biosciences. 254, 1, p. 76-82 7 p.

Research output: Contribution to journalArticle

Tumor Growth
Tumors
Tumor
neoplasms
Cell

Stoichiometric producer-grazer models with varying nitrogen pools and ammonia toxicity

Liu, H., Packer, A. & Kuang, Y., 2014, In : Discrete and Continuous Dynamical Systems - Series S. 7, 6, p. 1305-1320 16 p.

Research output: Contribution to journalArticle

Ammonia
Toxicity
Extinction
Nitrogen
Local Stability
2013
12 Citations (Scopus)

A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics

Peace, A., Zhao, Y., Loladze, I., Elser, J. & Kuang, Y., Aug 2013, In : Mathematical Biosciences. 244, 2, p. 107-115 9 p.

Research output: Contribution to journalArticle

Nutrients
Excess
nutrient content
knives
stoichiometry
5 Citations (Scopus)

Data and implication based comparison of two chronic myeloid leukemia models

Everett, R. A., Zhao, Y., Flores, K. B. & Kuang, Y., Oct 2013, In : Mathematical Biosciences and Engineering. 10, 5-6, p. 1501-1518 18 p.

Research output: Contribution to journalArticle

myeloid leukemia
Leukemia
Leukemia, Myelogenous, Chronic, BCR-ABL Positive
Drug Resistance
Molecular Targeted Therapy
28 Citations (Scopus)

Mathematical Insights in Evaluating State Dependent Effectiveness of HIV Prevention Interventions

Zhao, Y., Dimitrov, D. T., Liu, H. & Kuang, Y., 2013, In : Bulletin of Mathematical Biology. 75, 4, p. 649-675 27 p.

Research output: Contribution to journalArticle

Public health
human immunodeficiency virus
disease control
Public Health
HIV
12 Citations (Scopus)

Stability and bifurcation of a stage-structured predator-prey model with both discrete and distributed delays

Wang, F., Kuang, Y., Ding, C. & Zhang, S., Jan 2013, (Accepted/In press) In : Chaos, Solitons and Fractals. 46, p. 19-27 9 p.

Research output: Contribution to journalArticle

Stage-structured
Discrete Delay
Distributed Delay
Predator-prey Model
Prey