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 2021-11-01 to 2025-11-01.)
ArticleCitations
Special Tributes48
Measles Infection Dose Responses: Insights from Mathematical Modeling41
Effect of Population Partitioning on the Probability of Silent Circulation of Poliovirus31
Modeling and Evaluation of the Joint Prevention and Control Mechanism for Curbing COVID-19 in Wuhan29
A Data-Driven Mathematical Model for Clonorchiasis with Seasonality27
Computational Model of the Effect of Mitochondrial Dysfunction on Excitation–Contraction Coupling in Skeletal Muscle26
Theoretical Study of Retinoblastoma in the Hereditary and Non-hereditary Processes Including the Cancer Growth23
Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice22
A SIMPL Model of Phage-Bacteria Interactions Accounting for Mutation and Competition20
Range Shifts Under Constant-Speed and Accelerated Climate Warming20
Noise-Driven Transitions in Collective Foraging of Ant Colonies20
Modelling Radiation Cancer Treatment with a Death-Rate Term in Ordinary and Fractional Differential Equations19
From Policy to Prediction: Forecasting COVID-19 Dynamics Under Imperfect Vaccination18
A Mathematical Study of the Role of tBregs in Breast Cancer18
Statistical Mobility of Multicellular Colonies of Flagellated Swimming Cells18
When are Quarnets Sufficient to Reconstruct Semi-directed Phylogenetic Networks?17
A Data-Informed Mathematical Model of Microglial Cell Dynamics During Ischemic Stroke in the Middle Cerebral Artery17
Testing and Isolation Efficacy: Insights from a Simple Epidemic Model17
Assessing the Role of Patient Generation Techniques in Virtual Clinical Trial Outcomes17
Modeling the Development of Cellular Exhaustion and Tumor-Immune Stalemate17
A Computational Framework for the Administration of 5-Aminovulinic Acid Before Glioblastoma Surgery16
A Framework for Parameter Estimation and Uncertainty Quantification in Systems Biology Using Quantile Regression and Physics-Informed Neural Networks16
Maximum Likelihood Estimation for Unrooted 3-Leaf Trees: An Analytic Solution for the CFN Model16
Autopolyploidy, Allopolyploidy, and Phylogenetic Networks with Horizontal Arcs15
Effects of Heterogeneity on Cancer: A Game Theory Perspective15
Bifurcation Analysis of a Heat-Sensitive Epigenetic Regulatory Network14
Evolutionary Invasion Analysis of Modern Epidemics Highlights the Context-Dependence of Virulence Evolution14
Mathematical Modelling Highlights the Potential for Genetic Manipulation as an Adjuvant to Counter Efflux-Mediated MDR in Salmonella14
Host Diversification May Split Epidemic Spread into Two Successive Fronts Advancing at Different Speeds14
Parameter Estimation and Identifiability in Kinetic Flux Profiling Models of Metabolism14
0–1 Laws for Pattern Occurrences in Phylogenetic Trees and Networks13
A Hypothesis-Free Bridging of Disease Dynamics and Non-pharmaceutical Policies13
Orchard Networks are Trees with Additional Horizontal Arcs13
Macrophage Anti-inflammatory Behaviour in a Multiphase Model of Atherosclerotic Plaque Development13
Transition Therapy: Tackling the Ecology of Tumor Phenotypic Plasticity13
Pretty Darn Good Control: When are Approximate Solutions Better than Approximate Models12
Enumeration of Rooted Binary Unlabeled Galled Trees12
On Modeling Ovarian Aging and Menopause Timing12
A Continuation Technique for Maximum Likelihood Estimators in Biological Models12
A Mean-Field Approximation of SIR Epidemics on an Erdös–Rényi Network Model12
Modelling the Impact of HIF on Metabolism and the Extracellular Matrix: Consequences for Tumour Growth and Invasion12
Statistical Analysis of Two-Compartment Pharmacokinetic Models with Drug Non-adherence12
Modelling Mucus Clearance in Sinuses: Thin-Film Flow Inside a Fluid-Producing Cavity Lined with an Active Surface12
Make the Most of Your Society Journal12
A Spatial Kinetic Model of Crowd Evacuation Dynamics with Infectious Disease Contagion12
Local Overfishing Patterns Have Regional Effects on Health of Coral, and Economic Transitions Can Promote Its Recovery11
$$R_0$$ May Not Tell Us Everything: Transient Disease Dynamics of Some SIR Models Over Patchy Environments11
A Kinetic Finite Volume Discretization of the Multidimensional PIDE Model for Gene Regulatory Networks11
A Comparison of Deterministic and Stochastic Plant-Vector-Virus Models Based on Probability of Disease Extinction and Outbreak11
Effect of Human Behavior on the Evolution of Viral Strains During an Epidemic11
Exploring the Evolution of Altruistic Punishment with a PDE Model of Cultural Multilevel Selection11
Pattern Formation Driven by Nonlocal Perception in a Delayed Pine Wilt Disease Model with Top-Hat Kernel11
Pathophysiological Mechanisms of the Onset, Development, and Disappearance Phases of Skin Eruptions in Chronic Spontaneous Urticaria11
Designing Drug Regimens that Mitigate Nonadherence11
Transmission of Multiple Pathogens Across Species11
Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses11
Mathematical Modelling and Uncertainty Quantification for Analysis of Biphasic Coral Reef Recovery Patterns11
Differentiating Contact with Symptomatic and Asymptomatic Infectious Individuals in a SEIR Epidemic Model11
Fixed and Distributed Gene Expression Time Delays in Reaction–Diffusion Systems11
Multi-layer Bundling as a New Approach for Determining Multi-scale Correlations Within a High-Dimensional Dataset10
Spaces of Phylogenetic Diversity Indices: Combinatorial and Geometric Properties10
Enhancing pedagogical practices with Artificial Neural Networks in the age of AI to engage the next generation in Biomathematics10
Modelling Oscillatory Patterns in the Bovine Estrous Cycle with Boolean Delay Equations10
Deriving Optimal Treatment Timing for Adaptive Therapy: Matching the Model to the Tumor Dynamics10
Derivation and Analysis of a Discrete Predator–Prey Model10
Bounding the Softwired Parsimony Score of a Phylogenetic Network10
p53 Orchestrates Cancer Metabolism: Unveiling Strategies to Reverse the Warburg Effect10
Fungal Parasite Transmission in a Planktonic Ecosystem Under Light and Nutrient Constraints10
Generation of Virtual Populations for Quantitative Systems Pharmacology Through Advanced Sampling Methods10
Revisiting Fishery Sustainability Targets10
A 3D Computational Study on the Formation and Progression of Tumor Cells in Diffuse Gastric Cancer10
Speed and Shape of Population Fronts with Density-Dependent Diffusion10
Relaxation and Noise-Driven Oscillations in a Model of Mitotic Spindle Dynamics10
Integration of Immune Cell-Target Cell Conjugate Dynamics Changes the Time Scale of Immune Control of Cancer10
Accidental and Regulated Cell Death in Yeast Colony Biofilms10
Ecological Effects of Predator Harvesting and Environmental Noises on Oceanic Coral Reefs10
Convex Representation of Metabolic Networks with Michaelis–Menten Kinetics10
Prevalence Estimation Methods for Time-Dependent Antibody Kinetics of Infected and Vaccinated Individuals: A Markov Chain Approach9
The Impact of Quarantine and Medical Resources on the Control of COVID-19 in Wuhan based on a Household Model9
The Evolution of the Age of Onset of Resistance to Infectious Disease9
Nonlinear Regression Modelling: A Primer with Applications and Caveats9
Correction to: Computational Model of the Effect of Mitochondrial Dysfunction on Excitation–Contraction Coupling in Skeletal Muscle9
Analysis of War and Conflict Effect on the Transmission Dynamics of the Tenth Ebola Outbreak in the Democratic Republic of Congo9
COVID-19 Vaccination and Healthcare Demand9
Multiscale Asymptotic Analysis Reveals How Cell Growth and Subcellular Compartments Affect Tissue-Scale Hormone Transport9
A Data-Validated Stoichiometric Model for the Priming Effect9
Optimality of Maximal-Effort Vaccination9
Labellable Phylogenetic Networks9
Modelling the Impact of Phenotypic Heterogeneity on Cell Migration: A Continuum Framework Derived from Individual-Based Principles8
Learning Biological Dynamics From Spatio-Temporal Data by Gaussian Processes8
Inference of Pairwise Interactions from Strain Frequency Data Across Settings and Context-Dependent Mutual Invasibilities8
Mathematical Assessment of the Role of Intervention Programs for Malaria Control8
A Risk-Structured Model of the Influence of Mental Health on Opioid Addiction8
Dynamics and Persistence of a Generalized Multi-strain SIS Model8
Towards Inferring Network Properties from Epidemic Data8
Back to the Roots: A Discrete Kermack–McKendrick Model Adapted to Covid-198
Modeling Syphilis and HIV Coinfection: A Case Study in the USA8
Optimization Therapy by Coupling Intermittent Androgen Suppression with Impulsive Chemotherapy for a Prostate Cancer Model8
Bounding Seed Loss from Isolated Habitat Patches8
Dynamical Differences in Respiratory Syncytial Virus7
Correction to: Mathematical Modelling of Alternative Pathway of Complement System7
Infectious Disease in the Workplace: Quantifying Uncertainty in Transmission7
Linking Spontaneous Behavioral Changes to Disease Transmission Dynamics: Behavior Change Includes Periodic Oscillation7
Mathematical Modeling and Analysis of CD200–CD200R in Cancer Treatment7
Bayesian Inference of Phylogenetic Distances: Revisiting the Eigenvalue Approach7
Analysing the Effect of Test-and-Trace Strategy in an SIR Epidemic Model7
A Countable-Type Branching Process Model for the Tug-of-War Cancer Cell Dynamics7
Analysis of a COVID-19 Epidemic Model with Seasonality7
Impacts of Tempo and Mode of Environmental Fluctuations on Population Growth: Slow- and Fast-Limit Approximations of Lyapunov Exponents for Periodic and Random Environments7
Stochastic Modeling of In Vitro Bactericidal Potency7
Dynamics of Stoichiometric Autotroph–Mixotroph–Bacteria Interactions in the Epilimnion7
Modeling the effects of a Shock-and-Kill Treatment for HIV: Latency-Reversing Agents and Natural Killer Cells7
Tissue Oxygenation Around Capillaries: Effects of Hematocrit and Arteriole Oxygen Condition7
NIAID/SMB Workshop on Multiscale Modeling of Infectious and Immune-Mediated Diseases7
Oscillations in a Spatial Oncolytic Virus Model7
Predicting the Behavior of Sparsely-Sampled Systems Across Neurobiology and Epidemiology7
The GFB Tree and Tree Imbalance Indices6
Performance Study of Two Serial Interconnected Chemostats with Mortality6
Targeting CD4+ T cell Exhaustion to Improve Future Immunotherapy Strategies6
Harnessing Flex Point Symmetry to Estimate Logistic Tumor Population Growth6
Comparison Theorems for Stochastic Chemical Reaction Networks6
Mechanical Torque Promotes Bipolarity of the Mitotic Spindle Through Multi-centrosomal Clustering6
Effect of Movement on the Early Phase of an Epidemic6
Source-Sink Dynamics in a Two-Patch SI Epidemic Model with Life Stages and No Recovery from Infection6
Making Predictions Using Poorly Identified Mathematical Models6
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
Intermittent Hormone Therapy Models Analysis and Bayesian Model Comparison for Prostate Cancer6
The Effect of Antibodies in the Presence of Syncytia During Viral Infections6
The Impact of Host Abundance on the Epidemiology of Tick-Borne Infection6
Spatial Segregation Across Travelling Fronts in Individual-Based and Continuum Models for the Growth of Heterogeneous Cell Populations6
Evolving Improved Sampling Protocols for Dose–Response Modelling Using Genetic Algorithms with a Profile-Likelihood Metric6
Chase-and-Run and Chirality in Nonlocal Models of Pattern Formation6
Does GLUT4 Queue? A Mechanistic Mathematical Model for Insulin Response in Adipocytes6
Invasiveness of a Growth-Migration System in a Two-dimensional Percolation cluster: A Stochastic Mathematical Approach6
Practical Identifiability in a Viscoelastic Respiratory Model for Mechanical Ventilation6
Whole-Colony Dynamic Energy Budget Model for Bumble Bees: Assessing the Impact of Wildflower Patches on Crop Pollination6
Relation Between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions6
Cost Optimisation of Individual-Based Institutional Reward Incentives for Promoting Cooperation in Finite Populations6
A New Method for Low Density Distribution Modeling and Near Threatened Species: The Study Case of Plectrohyla Guatemalensis6
Connecting Agent-Based Models with High-Dimensional Parameter Spaces to Multidimensional Data Using SMoRe ParS: A Surrogate Modeling Approach6
Transmission Dynamics of Tuberculosis with Age-specific Disease Progression5
Designing Weights for Quartet-Based Methods When Data are Heterogeneous Across Lineages5
Asymptotic Analysis of Optimal Vaccination Policies5
A Nonlinear Delay Model for Metabolic Oscillations in Yeast Cells5
Dimensions of Level-1 Group-Based Phylogenetic Networks5
Stochastic Reaction Networks Within Interacting Compartments5
Vaccination and Quarantine Effect on COVID-19 Transmission Dynamics Incorporating Chinese-Spring-Festival Travel Rush: Modeling and Simulations5
A Stochastic Model of Cortical Microtubule Anchoring and Mechanics Provides Regulatory Control of Microtubule Shape5
Circulation of Respiratory Viruses in the City: Towards an Agent-Based Ecosystem model5
Correction to: Combining Mechanisms of Growth Arrest in Solid Tumours: A Mathematical Investigation5
Random Search in Fluid Flow Aided by Chemotaxis5
Simulation of Angiogenesis in Three Dimensions: Development of the Retinal Circulation5
A Multiscale Model of COVID-19 Dynamics5
Parameter Optimization for a Neurotransmission Recovery Model5
VisualPDE: Rapid Interactive Simulations of Partial Differential Equations5
Mathematical Modeling of Mating Probability and Fertile Egg Production in Helminth Parasites5
Quantitative Assessment of a Dual Epidemic Caused by Tuberculosis and HIV in the Philippines5
Modeling the Effects of Temperature and Resource Quality on the Outcome of Competition Between Aedes aegypti and Aedes albopictus and the Resulting Risk of Vector-Borne Disease5
Estimation of Parameter Distributions for Reaction-Diffusion Equations with Competition using Aggregate Spatiotemporal Data4
Boolean Models of the Transport, Synthesis, and Metabolism of Tryptophan in Escherichia coli4
Optimal Control in Combination Therapy for Heterogeneous Cell Populations with Drug Synergies4
Evaluating the Intensity of a Potential Yellow Fever Outbreak During an International Trading Event: a Case Study on Canton Fair4
Controlling Biological Invasions: A Stochastic Host–Generalist Parasitoid Model4
Matching Habitat Choice and the Evolution of a Species’ Range4
Waves in a Stochastic Cell Motility Model4
Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics4
A Theoretical Analysis of Mass Testing Strategies to Control Epidemics4
Modelling the Effect of Matrix Metalloproteinases in Dermal Wound Healing4
PrEP Intervention in the Mitigation of HIV/AIDS Epidemics in China via a Data-Validated Age-Structured Model4
Multistationarity in Cyclic Sequestration-Transmutation Networks4
A Quantitative Systems Pharmacology Perspective on the Importance of Parameter Identifiability4
Optimal Control with RdCVFL for Degenerating Photoreceptors4
Eruptive Insect Outbreaks from Endemic Populations Under Climate Change4
Combining Mechanisms of Growth Arrest in Solid Tumours: A Mathematical Investigation4
Theory of Stoichiometric Intraguild Predation: Algae, Ciliate, and Daphnia4
Asymptotic Enumeration of Normal and Hybridization Networks via Tree Decoration4
Relational Persistent Homology for Multispecies Data with Application to the Tumor Microenvironment4
Models for Implant-Induced Capsular Contracture Post Breast Cancer Surgery4
Modeling the Impact of Seasonality on Mosquito Population Dynamics: Insights for Vector Control Strategies4
Insights on Influenza Control Through Vaccination for the 2023-2024 Season in the USA: Mathematical Modeling, Optimal Control, and Sensitivity Analysis4
Boundary Conditions Cause Different Generic Bifurcation Structures in Turing Systems4
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
The Detailed Balance Property and Chemical Systems out of Equilibrium4
Planktos: An Agent-Based Modeling Framework for Small Organism Movement and Dispersal in a Fluid Environment with Immersed Structures4
Blood Lipoproteins Shape the Phenotype and Lipid Content of Early Atherosclerotic Lesion Macrophages: A Dual-Structured Mathematical Model4
The Unification of Evolutionary Dynamics through the Bayesian Decay Factor in a Game on a Graph4
Understanding and Quantifying Network Robustness to Stochastic Inputs4
The implications of host–pathogen co-evolutionary outcomes on macro-epidemics based on a combined-host strategy4
Impact of Resistance on Therapeutic Design: A Moran Model of Cancer Growth4
A Refunding Scheme to Incentivize Narrow-Spectrum Antibiotic Development4
Spatiotemporal Dynamics of a Mussel-Algae Model on the Square Domain4
An Analytical Approach of One-Compartmental Pharmacokinetic Models with Sigmoidal Hill Elimination4
The Effect of Vaccination on the Competitive Advantage of Two Strains of an Infectious Disease4
Reaction Network Analysis of Metabolic Insulin Signaling4
Why Are Periodic Erythrocytic Diseases so Rare in Humans?4
The Role of Cytonemes and Diffusive Transport in the Establishment of Morphogen Gradients4
Computational Modeling to Determine the Effect of Phenotypic Heterogeneity in Tumors on the Collective Tumor–Immune Interactions4
Extended Discrete-Time Population Model to Describe the Competition of Nutrient-Producing Protocells4
Modelling the Impact of NETosis During the Initial Stage of Systemic Lupus Erythematosus4
A Diffusion-Based Approach for Simulating Forward-in-Time State-Dependent Speciation and Extinction Dynamics3
Understanding Immune Dynamics in Liver Transplant Through Mathematical Modeling3
The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters3
Breast Cancer Exosomal microRNAs Facilitate Pre-Metastatic Niche Formation in the Bone: A Mathematical Model3
The Effects of Migration and Limited Medical Resources of the Transmission of SARS-CoV-2 Model with Two Patches3
Mathematical Study of a Resource-Based Diffusion Model with Gilpin–Ayala Growth and Harvesting3
Inferring Birth Versus Death Dynamics for Ecological Interactions in Stochastic Heterogeneous Populations3
3D Genome Reconstruction from Partially Phased Hi-C Data3
A Multigenerational Turing Model Reproduces Transgressive Petal Spot Phenotypes in Hybrid Mimulus3
Dynamics of Antibody Binding and Neutralization during Viral Infection3
Non-spatial Dynamics and Spatiotemporal Patterns Formation in a Predator–Prey Model with Double Allee and Dome-shaped Response Function3
Concentration-Dependent Domain Evolution in Reaction–Diffusion Systems3
AMBER: A Modular Model for Tumor Growth, Vasculature and Radiation Response3
Evaluating Strategies For Tuberculosis to Achieve the Goals of WHO in China: A Seasonal Age-Structured Model Study3
Computations in living organisms modeled by marked graphs3
Optimal Control of Immune Checkpoint Inhibitor Therapy in a Heart-Tumour Model3
Mathematical Modelling of Dengue Transmission with Intervention Strategies Using Fractional Derivatives3
Analysis of the Geographic Transmission Differences of COVID-19 in China Caused by Population Movement and Population Density3
Spatio-Temporal Dynamics of M1 and M2 Macrophages in a Multiphase Model of Tumor Growth3
A Coupled Statistical and Deterministic Model for Forecasting Climate-Driven Dengue Incidence in Selangor, Malaysia3
Mathematical Model of CAR T-Cell Therapy for a B-Cell Lymphoma Lymph Node3
Model-Based Projection of Zika Infection Risk with Temperature Effect: A Case Study in Southeast Asia3
Assortment and Reciprocity Mechanisms for Promotion of Cooperation in a Model of Multilevel Selection3
Forest-Based Networks3
Discontinuity-Induced Dynamics in the Conductance-Based Adaptive Exponential Integrate-and-Fire Model3
Modeling SARS-CoV-2 Infection Dynamics: Insights into Viral Clearance and Immune Synergy3
Optimal Control of Collective Electrotaxis in Epithelial Monolayers3
Stability of Difference Equations with Interspecific Density Dependence, Competition, and Maturation Delays3
Experimental Data and PBPK Modeling Quantify Antibody Interference in PEGylated Drug Carrier Delivery3
Modelling Role of Protective and Nonprotective HLA Allele Inducing Different HIV Infection Outcomes3
Quantitative Assessment of Biological Dynamics with Aggregate Data3
Analysis of Anaerobic Digestion Model With Two Serial Interconnected Chemostats3
Mathematical Analysis of Epidemic Models with Treatment in Heterogeneous Networks3
Special Collection: Celebrating J.D. Murray’s Contributions to Mathematical Biology3
Emergent Lag Phase in Flux-Regulation Models of Bacterial Growth3
Disease-Induced Hydra Effect with Overcompensatory Recruitment3
How Cells Stay Together: A Mechanism for Maintenance of a Robust Cluster Explored by Local and Non-local Continuum Models3
Effects of Elasticity on Cell Proliferation in a Tissue-Engineering Scaffold Pore3
Sexual Dimorphism in Substrate Metabolism During Exercise3
Could Mathematics be the Key to Unlocking the Mysteries of Multiple Sclerosis?3
On Parameter Identifiability in Network-Based Epidemic Models3
Pattern Formation in a Spatially Extended Model of Pacemaker Dynamics in Smooth Muscle Cells3
Unpacking fitness differences between two invaders in a multispecies context2
Fluid Dynamics of Multiple Fast-Firing Extrusomes2
Tropical Logistic Regression Model on Space of Phylogenetic Trees2
Nonlinear Diffusion for Bacterial Traveling Wave Phenomenon2
Periodic Oscillations and Transient Dynamics Caused by Saturating Density-Dependent Benefits and Costs in Obligate Mutualisms2
Mathematical Model of Triple-Negative Breast Cancer in Response to Combination Chemotherapies2
Forecasting and Predicting Stochastic Agent-Based Model Data with Biologically-Informed Neural Networks2
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