Bulletin of Mathematical Biology

Papers
(The median citation count of Bulletin of Mathematical Biology is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Special Tributes43
From Policy to Prediction: Forecasting COVID-19 Dynamics Under Imperfect Vaccination35
Measles Infection Dose Responses: Insights from Mathematical Modeling28
Statistical Mobility of Multicellular Colonies of Flagellated Swimming Cells26
Effect of Population Partitioning on the Probability of Silent Circulation of Poliovirus26
Modeling and Evaluation of the Joint Prevention and Control Mechanism for Curbing COVID-19 in Wuhan25
A Data-Informed Mathematical Model of Microglial Cell Dynamics During Ischemic Stroke in the Middle Cerebral Artery24
Noise-Driven Transitions in Collective Foraging of Ant Colonies22
Modelling Radiation Cancer Treatment with a Death-Rate Term in Ordinary and Fractional Differential Equations21
Range Shifts Under Constant-Speed and Accelerated Climate Warming18
A Mathematical Study of the Role of tBregs in Breast Cancer17
A SIMPL Model of Phage-Bacteria Interactions Accounting for Mutation and Competition17
Theoretical Study of Retinoblastoma in the Hereditary and Non-hereditary Processes Including the Cancer Growth16
Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice16
Computational Model of the Effect of Mitochondrial Dysfunction on Excitation–Contraction Coupling in Skeletal Muscle16
Assessing the Role of Patient Generation Techniques in Virtual Clinical Trial Outcomes16
Transition Therapy: Tackling the Ecology of Tumor Phenotypic Plasticity15
Modeling the Development of Cellular Exhaustion and Tumor-Immune Stalemate15
A Framework for Parameter Estimation and Uncertainty Quantification in Systems Biology Using Quantile Regression and Physics-Informed Neural Networks15
Orchard Networks are Trees with Additional Horizontal Arcs15
A Hypothesis-Free Bridging of Disease Dynamics and Non-pharmaceutical Policies15
Autopolyploidy, Allopolyploidy, and Phylogenetic Networks with Horizontal Arcs15
Maximum Likelihood Estimation for Unrooted 3-Leaf Trees: An Analytic Solution for the CFN Model14
Parameter Estimation and Identifiability in Kinetic Flux Profiling Models of Metabolism14
A Computational Framework for the Administration of 5-Aminovulinic Acid Before Glioblastoma Surgery14
0–1 Laws for Pattern Occurrences in Phylogenetic Trees and Networks14
Host Diversification May Split Epidemic Spread into Two Successive Fronts Advancing at Different Speeds14
The Effect of Harvesting Adults on the Evolution of Reproduction Age Via Density-Dependent Juvenile Mortality13
Evolutionary Invasion Analysis of Modern Epidemics Highlights the Context-Dependence of Virulence Evolution13
Pretty Darn Good Control: When are Approximate Solutions Better than Approximate Models13
Bifurcation Analysis of a Heat-Sensitive Epigenetic Regulatory Network13
Testing and Isolation Efficacy: Insights from a Simple Epidemic Model13
Modelling Mucus Clearance in Sinuses: Thin-Film Flow Inside a Fluid-Producing Cavity Lined with an Active Surface12
Effects of Heterogeneity on Cancer: A Game Theory Perspective12
Mathematical Modelling Highlights the Potential for Genetic Manipulation as an Adjuvant to Counter Efflux-Mediated MDR in Salmonella12
Modelling the Impact of HIF on Metabolism and the Extracellular Matrix: Consequences for Tumour Growth and Invasion12
A Mean-Field Approximation of SIR Epidemics on an Erdös–Rényi Network Model12
$$R_0$$ May Not Tell Us Everything: Transient Disease Dynamics of Some SIR Models Over Patchy Environments12
Enumeration of Rooted Binary Unlabeled Galled Trees12
Macrophage Anti-inflammatory Behaviour in a Multiphase Model of Atherosclerotic Plaque Development12
Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses11
A Continuation Technique for Maximum Likelihood Estimators in Biological Models11
Local Overfishing Patterns Have Regional Effects on Health of Coral, and Economic Transitions Can Promote Its Recovery11
Make the Most of Your Society Journal11
A Spatial Kinetic Model of Crowd Evacuation Dynamics with Infectious Disease Contagion11
Statistical Analysis of Two-Compartment Pharmacokinetic Models with Drug Non-adherence11
Differentiating Contact with Symptomatic and Asymptomatic Infectious Individuals in a SEIR Epidemic Model11
A Kinetic Finite Volume Discretization of the Multidimensional PIDE Model for Gene Regulatory Networks11
Designing Drug Regimens that Mitigate Nonadherence11
On Modeling Ovarian Aging and Menopause Timing10
Bounding the Softwired Parsimony Score of a Phylogenetic Network10
Ecological Effects of Predator Harvesting and Environmental Noises on Oceanic Coral Reefs10
Spreading Properties for SIR Models on Homogeneous Trees10
A Comparison of the “Reduced Losses” and “Increased Production” Models for Mussel Bed Dynamics10
Fixed and Distributed Gene Expression Time Delays in Reaction–Diffusion Systems10
Pathophysiological Mechanisms of the Onset, Development, and Disappearance Phases of Skin Eruptions in Chronic Spontaneous Urticaria10
Effect of Human Behavior on the Evolution of Viral Strains During an Epidemic10
A Comparison of Deterministic and Stochastic Plant-Vector-Virus Models Based on Probability of Disease Extinction and Outbreak10
Spaces of Phylogenetic Diversity Indices: Combinatorial and Geometric Properties10
Relaxation and Noise-Driven Oscillations in a Model of Mitotic Spindle Dynamics10
Modelling Oscillatory Patterns in the Bovine Estrous Cycle with Boolean Delay Equations10
Integration of Immune Cell-Target Cell Conjugate Dynamics Changes the Time Scale of Immune Control of Cancer10
Revisiting Fishery Sustainability Targets10
Exploring the Evolution of Altruistic Punishment with a PDE Model of Cultural Multilevel Selection10
Transmission of Multiple Pathogens Across Species10
Multi-layer Bundling as a New Approach for Determining Multi-scale Correlations Within a High-Dimensional Dataset10
Fungal Parasite Transmission in a Planktonic Ecosystem Under Light and Nutrient Constraints10
Convex Representation of Metabolic Networks with Michaelis–Menten Kinetics10
Towards Building a Sustainable Future: Positioning Ecological Modelling for Impact in Ecosystems Management10
p53 Orchestrates Cancer Metabolism: Unveiling Strategies to Reverse the Warburg Effect10
Speed and Shape of Population Fronts with Density-Dependent Diffusion10
A 3D Computational Study on the Formation and Progression of Tumor Cells in Diffuse Gastric Cancer9
Correction to: Computational Model of the Effect of Mitochondrial Dysfunction on Excitation–Contraction Coupling in Skeletal Muscle9
Back to the Roots: A Discrete Kermack–McKendrick Model Adapted to Covid-199
Derivation and Analysis of a Discrete Predator–Prey Model9
A Data-Validated Stoichiometric Model for the Priming Effect9
The Impact of Quarantine and Medical Resources on the Control of COVID-19 in Wuhan based on a Household Model9
Learning Biological Dynamics From Spatio-Temporal Data by Gaussian Processes9
Optimality of Maximal-Effort Vaccination9
Labellable Phylogenetic Networks9
Analysis of War and Conflict Effect on the Transmission Dynamics of the Tenth Ebola Outbreak in the Democratic Republic of Congo8
Targeting Cellular DNA Damage Responses in Cancer: An In Vitro-Calibrated Agent-Based Model Simulating Monolayer and Spheroid Treatment Responses to ATR-Inhibiting Drugs8
COVID-19 Vaccination and Healthcare Demand8
A Countable-Type Branching Process Model for the Tug-of-War Cancer Cell Dynamics8
Mathematical Assessment of the Role of Intervention Programs for Malaria Control8
A Risk-Structured Model of the Influence of Mental Health on Opioid Addiction8
Nonlinear Regression Modelling: A Primer with Applications and Caveats8
Infectious Disease in the Workplace: Quantifying Uncertainty in Transmission8
Modeling Syphilis and HIV Coinfection: A Case Study in the USA8
Prevalence Estimation Methods for Time-Dependent Antibody Kinetics of Infected and Vaccinated Individuals: A Markov Chain Approach8
Multiscale Asymptotic Analysis Reveals How Cell Growth and Subcellular Compartments Affect Tissue-Scale Hormone Transport8
Bounding Seed Loss from Isolated Habitat Patches8
The Evolution of the Age of Onset of Resistance to Infectious Disease8
Stochastic Modeling of In Vitro Bactericidal Potency7
Towards Inferring Network Properties from Epidemic Data7
Inference of Pairwise Interactions from Strain Frequency Data Across Settings and Context-Dependent Mutual Invasibilities7
Linking Spontaneous Behavioral Changes to Disease Transmission Dynamics: Behavior Change Includes Periodic Oscillation7
Oscillations in a Spatial Oncolytic Virus Model7
Optimization Therapy by Coupling Intermittent Androgen Suppression with Impulsive Chemotherapy for a Prostate Cancer Model7
Modelling Immune Memory Development7
Analysis of a COVID-19 Epidemic Model with Seasonality7
Mathematical Modeling and Analysis of CD200–CD200R in Cancer Treatment7
Correction to: Mathematical Modelling of Alternative Pathway of Complement System7
Impacts of Tempo and Mode of Environmental Fluctuations on Population Growth: Slow- and Fast-Limit Approximations of Lyapunov Exponents for Periodic and Random Environments7
Tissue Oxygenation Around Capillaries: Effects of Hematocrit and Arteriole Oxygen Condition7
NIAID/SMB Workshop on Multiscale Modeling of Infectious and Immune-Mediated Diseases7
Invasiveness of a Growth-Migration System in a Two-dimensional Percolation cluster: A Stochastic Mathematical Approach6
Predicting the Behavior of Sparsely-Sampled Systems Across Neurobiology and Epidemiology6
Evolving Improved Sampling Protocols for Dose–Response Modelling Using Genetic Algorithms with a Profile-Likelihood Metric6
The Effect of Antibodies in the Presence of Syncytia During Viral Infections6
Intermittent Hormone Therapy Models Analysis and Bayesian Model Comparison for Prostate Cancer6
Whole-Colony Dynamic Energy Budget Model for Bumble Bees: Assessing the Impact of Wildflower Patches on Crop Pollination6
Harnessing Flex Point Symmetry to Estimate Logistic Tumor Population Growth6
Dynamics of Stoichiometric Autotroph–Mixotroph–Bacteria Interactions in the Epilimnion6
Performance Study of Two Serial Interconnected Chemostats with Mortality6
Bayesian Inference of Phylogenetic Distances: Revisiting the Eigenvalue Approach6
Bifurcation and Pattern Formation in an Activator–Inhibitor Model with Non-local Dispersal6
A Model for the Coexistence of Competing Mechanisms for $$\text {Ca}^{\text {2}+}$$ Oscillations in T-lymphocytes6
Asymptotic Analysis of Optimal Vaccination Policies6
A Stochastic Model of Cortical Microtubule Anchoring and Mechanics Provides Regulatory Control of Microtubule Shape6
Targeting CD4+ T cell Exhaustion to Improve Future Immunotherapy Strategies6
Designing Weights for Quartet-Based Methods When Data are Heterogeneous Across Lineages6
Connecting Agent-Based Models with High-Dimensional Parameter Spaces to Multidimensional Data Using SMoRe ParS: A Surrogate Modeling Approach6
Analysing the Effect of Test-and-Trace Strategy in an SIR Epidemic Model6
Dynamical Differences in Respiratory Syncytial Virus6
Source-Sink Dynamics in a Two-Patch SI Epidemic Model with Life Stages and No Recovery from Infection6
A New Method for Low Density Distribution Modeling and Near Threatened Species: The Study Case of Plectrohyla Guatemalensis6
Spatial Segregation Across Travelling Fronts in Individual-Based and Continuum Models for the Growth of Heterogeneous Cell Populations6
Transmission Dynamics of Tuberculosis with Age-specific Disease Progression6
Vaccination and Quarantine Effect on COVID-19 Transmission Dynamics Incorporating Chinese-Spring-Festival Travel Rush: Modeling and Simulations6
Making Predictions Using Poorly Identified Mathematical Models6
VisualPDE: Rapid Interactive Simulations of Partial Differential Equations5
A Multiscale Model of COVID-19 Dynamics5
Effect of Movement on the Early Phase of an Epidemic5
Circulation of Respiratory Viruses in the City: Towards an Agent-Based Ecosystem model5
Mathematical Modeling of Mating Probability and Fertile Egg Production in Helminth Parasites5
A Refunding Scheme to Incentivize Narrow-Spectrum Antibiotic Development5
Correction to: Combining Mechanisms of Growth Arrest in Solid Tumours: A Mathematical Investigation5
Relation Between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions5
Mechanical Torque Promotes Bipolarity of the Mitotic Spindle Through Multi-centrosomal Clustering5
Comparison Theorems for Stochastic Chemical Reaction Networks5
Simulation of Angiogenesis in Three Dimensions: Development of the Retinal Circulation5
Stochastic Reaction Networks Within Interacting Compartments5
Quantitative Assessment of a Dual Epidemic Caused by Tuberculosis and HIV in the Philippines5
The Impact of Host Abundance on the Epidemiology of Tick-Borne Infection5
Parameter Optimization for a Neurotransmission Recovery Model5
Cost Optimisation of Individual-Based Institutional Reward Incentives for Promoting Cooperation in Finite Populations5
A Nonlinear Delay Model for Metabolic Oscillations in Yeast Cells5
Boolean Models of the Transport, Synthesis, and Metabolism of Tryptophan in Escherichia coli5
Dimensions of Level-1 Group-Based Phylogenetic Networks5
The Detailed Balance Property and Chemical Systems out of Equilibrium4
Blood Lipoproteins Shape the Phenotype and Lipid Content of Early Atherosclerotic Lesion Macrophages: A Dual-Structured Mathematical Model4
Reaction Network Analysis of Metabolic Insulin Signaling4
Computational Modeling to Determine the Effect of Phenotypic Heterogeneity in Tumors on the Collective Tumor–Immune Interactions4
Waves in a Stochastic Cell Motility Model4
Matching Habitat Choice and the Evolution of a Species’ Range4
Relational Persistent Homology for Multispecies Data with Application to the Tumor Microenvironment4
Random Search in Fluid Flow Aided by Chemotaxis4
The Impact of Contact Structure and Mixing on Control Measures and Disease-Induced Herd Immunity in Epidemic Models: A Mean-Field Model Perspective4
A Theoretical Analysis of Mass Testing Strategies to Control Epidemics4
Why Are Periodic Erythrocytic Diseases so Rare in Humans?4
Controlling Biological Invasions: A Stochastic Host–Generalist Parasitoid Model4
Modelling the Effect of Matrix Metalloproteinases in Dermal Wound Healing4
Understanding and Quantifying Network Robustness to Stochastic Inputs4
The Unification of Evolutionary Dynamics through the Bayesian Decay Factor in a Game on a Graph4
Boundary Conditions Cause Different Generic Bifurcation Structures in Turing Systems4
Planktos: An Agent-Based Modeling Framework for Small Organism Movement and Dispersal in a Fluid Environment with Immersed Structures4
Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics4
Combining Mechanisms of Growth Arrest in Solid Tumours: A Mathematical Investigation4
Asymptotic Enumeration of Normal and Hybridization Networks via Tree Decoration4
Modeling the Impact of Seasonality on Mosquito Population Dynamics: Insights for Vector Control Strategies4
Homogenization Reveals Large-Scale Dynamics in the Spread of Chronic Wasting Disease4
Correction to: Relation Between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions4
Estimation of Parameter Distributions for Reaction-Diffusion Equations with Competition using Aggregate Spatiotemporal Data4
Modelling the Impact of NETosis During the Initial Stage of Systemic Lupus Erythematosus4
PrEP Intervention in the Mitigation of HIV/AIDS Epidemics in China via a Data-Validated Age-Structured Model4
Theory of Stoichiometric Intraguild Predation: Algae, Ciliate, and Daphnia4
Impact of Resistance on Therapeutic Design: A Moran Model of Cancer Growth4
Eruptive Insect Outbreaks from Endemic Populations Under Climate Change4
Optimal Control with RdCVFL for Degenerating Photoreceptors4
Models for Implant-Induced Capsular Contracture Post Breast Cancer Surgery4
The Role of Cytonemes and Diffusive Transport in the Establishment of Morphogen Gradients4
Multistationarity in Cyclic Sequestration-Transmutation Networks4
The Effect of Vaccination on the Competitive Advantage of Two Strains of an Infectious Disease4
A Quantitative Systems Pharmacology Perspective on the Importance of Parameter Identifiability4
Model-Based Projection of Zika Infection Risk with Temperature Effect: A Case Study in Southeast Asia3
Sexual Dimorphism in Substrate Metabolism During Exercise3
Evaluating Strategies For Tuberculosis to Achieve the Goals of WHO in China: A Seasonal Age-Structured Model Study3
On Parameter Identifiability in Network-Based Epidemic Models3
Could Mathematics be the Key to Unlocking the Mysteries of Multiple Sclerosis?3
3D Genome Reconstruction from Partially Phased Hi-C Data3
A Multigenerational Turing Model Reproduces Transgressive Petal Spot Phenotypes in Hybrid Mimulus3
Breast Cancer Exosomal microRNAs Facilitate Pre-Metastatic Niche Formation in the Bone: A Mathematical Model3
Analysis of the Geographic Transmission Differences of COVID-19 in China Caused by Population Movement and Population Density3
Inferring Birth Versus Death Dynamics for Ecological Interactions in Stochastic Heterogeneous Populations3
The Effects of Migration and Limited Medical Resources of the Transmission of SARS-CoV-2 Model with Two Patches3
Special Collection: Celebrating J.D. Murray’s Contributions to Mathematical Biology3
Effects of Elasticity on Cell Proliferation in a Tissue-Engineering Scaffold Pore3
Emergent Lag Phase in Flux-Regulation Models of Bacterial Growth3
Dynamics of Antibody Binding and Neutralization during Viral Infection3
Mathematical Model of CAR T-Cell Therapy for a B-Cell Lymphoma Lymph Node3
How Cells Stay Together: A Mechanism for Maintenance of a Robust Cluster Explored by Local and Non-local Continuum Models3
Optimal Control of Collective Electrotaxis in Epithelial Monolayers3
Modeling SARS-CoV-2 Infection Dynamics: Insights into Viral Clearance and Immune Synergy3
Non-spatial Dynamics and Spatiotemporal Patterns Formation in a Predator–Prey Model with Double Allee and Dome-shaped Response Function3
Experimental Data and PBPK Modeling Quantify Antibody Interference in PEGylated Drug Carrier Delivery3
Spatio-Temporal Dynamics of M1 and M2 Macrophages in a Multiphase Model of Tumor Growth3
Mathematical Study of a Resource-Based Diffusion Model with Gilpin–Ayala Growth and Harvesting3
The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters3
Mathematical Analysis of Epidemic Models with Treatment in Heterogeneous Networks3
A Coupled Statistical and Deterministic Model for Forecasting Climate-Driven Dengue Incidence in Selangor, Malaysia3
Disease-Induced Hydra Effect with Overcompensatory Recruitment3
Forest-Based Networks3
Understanding Immune Dynamics in Liver Transplant Through Mathematical Modeling3
Discontinuity-Induced Dynamics in the Conductance-Based Adaptive Exponential Integrate-and-Fire Model3
AMBER: A Modular Model for Tumor Growth, Vasculature and Radiation Response3
An Analytical Approach of One-Compartmental Pharmacokinetic Models with Sigmoidal Hill Elimination3
Pattern Formation in a Spatially Extended Model of Pacemaker Dynamics in Smooth Muscle Cells3
Concentration-Dependent Domain Evolution in Reaction–Diffusion Systems3
Assortment and Reciprocity Mechanisms for Promotion of Cooperation in a Model of Multilevel Selection3
Analysis of Anaerobic Digestion Model With Two Serial Interconnected Chemostats3
Tumor Evolution Models of Phase-Field Type with Nonlocal Effects and Angiogenesis3
Mathematical Modelling of Dengue Transmission with Intervention Strategies Using Fractional Derivatives3
Effects of Non-linear Interaction Between Oxygen and Lactate on Solid Tumor Growth Under Cyclic Hypoxia3
Modelling Role of Protective and Nonprotective HLA Allele Inducing Different HIV Infection Outcomes3
Computations in living organisms modeled by marked graphs3
A Diffusion-Based Approach for Simulating Forward-in-Time State-Dependent Speciation and Extinction Dynamics3
On Discretely Structured Growth Models and Their Moments2
Agent-Based and Continuum Models for Spatial Dynamics of Infection by Oncolytic Viruses2
An Unstructured Mesh Reaction-Drift-Diffusion Master Equation with Reversible Reactions2
Teaching Dynamics to Biology Undergraduates: the UCLA Experience2
Empirical Quantification of Predictive Uncertainty Due to Model Discrepancy by Training with an Ensemble of Experimental Designs: An Application to Ion Channel Kinetics2
Ex Vivo Experiments Shed Light on the Innate Immune Response from Influenza Virus2
Final Size for Epidemic Models with Asymptomatic Transmission2
Characterization of the Long-distance Dispersal Kernel of White-Tailed Deer and Evaluating its Impact on Chronic Wasting Disease Spread in Wisconsin2
Allee Effects Plus Noise Induce Population Dynamics Resembling Binary Markov Highs and Lows2
Exploring Aeration Strategies for Enhanced Simultaneous Nitrification and Denitrification in Membrane Aerated Bioreactors: A Computational Approach2
Autoregulation of Transcription and Translation: A Qualitative Analysis2
A Fisher–KPP Model with a Nonlocal Weighted Free Boundary: Analysis of How Habitat Boundaries Expand, Balance or Shrink2
Fluid Dynamics of Multiple Fast-Firing Extrusomes2
Unpacking fitness differences between two invaders in a multispecies context2
Mathematical Model for Delayed Responses in Immune Checkpoint Blockades2
Mathematical Modeling of Influenza Dynamics: Integrating Seasonality and Gradual Waning Immunity2
Dimensional Dependence of Binding Kinetics2
Genome Galaxy Identified by the Circular Code Theory2
Temporal Pattern of the Emergence of a Mutant Virus Escaping Cross-Immunity and Stochastic Extinction Within a Host2
Forecasting and Predicting Stochastic Agent-Based Model Data with Biologically-Informed Neural Networks2
Mathematical Model of Triple-Negative Breast Cancer in Response to Combination Chemotherapies2
The Hard Lessons and Shifting Modeling Trends of COVID-19 Dynamics: Multiresolution Modeling Approach2
Heterogeneity in Behaviour and Movement can Influence the Stability of Predator–Prey Periodic Travelling Waves2
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