Mathematical Biosciences

Papers
(The median citation count of Mathematical Biosciences is 1. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
Analyzing the use of non-pharmaceutical personal protective measures through self-interest and social optimum for the control of an emerging disease66
Editorial Board27
Interplay of virulence factors shapes ecology and treatment outcomes in polymicrobial infections25
Mycoloop: Modeling phytoplankton–chytrid–zooplankton interactions in aquatic food webs22
Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments22
Investigating the eco-evolutionary tunnels for establishing cooperative communities20
Processes governing species richness in communities exposed to temporal environmental stochasticity: A review and synthesis of modelling approaches20
A new method for the estimation of stochastic epidemic descriptors reinforced by Kalman-based dynamic parameter estimation. Application to mpox data19
Editorial Board19
Modeling covalently closed circular DNA dynamics in assessing chronic hepatitis B prognosis18
Influence of telomerase activity and initial distribution on human follicular aging: Moving from a discrete to a continuum model18
Turing patterns in a morphogenetic model with single regulatory function17
Effect of homophily on coupled behavior-disease dynamics near a tipping point17
Effect of cross-immunity in a two-strain cholera model with aquatic component16
Imperfect vaccine can yield multiple Nash equilibria in vaccination games16
Modeling cholera transmission dynamics with antibiotic resistance and mutation: A case study in Zimbabwe16
Editorial Board15
Overcoming the impossibility of age-balanced harvest15
Calcium signalling in glioblastoma networks of different topologies and possible treatments15
A joint-threshold Filippov model describing the effect of intermittent androgen-deprivation therapy in controlling prostate cancer15
Machine learning provides insight into models of heterogeneous electrical activity in human beta-cells15
Sequential allocation of vaccine to control an infectious disease14
Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model14
Characterizing symmetry transitions in systems with dynamic morphology13
Testing-isolation interventions will likely be insufficient to contain future novel disease outbreaks13
Mechanistic embedding of concise physiological absorption models for enhanced prediction in population pharmacokinetic modeling of oral ibuprofen13
Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals13
Editorial Board13
Modeling and analysis of the transmission dynamics in metapopulation networks incorporating individual contact heterogeneity13
Dynamics of COVID-19 based on spontaneous individual behaviors of vaccination12
Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation12
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator–prey system with high prey group cohesion12
Nucleation feedback can drive establishment and maintenance of biased microtubule polarity in neurites12
Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach12
Learning transmission dynamics modelling of COVID-19 using comomodels12
Predicting resistance and pseudoprogression: are minimalistic immunoediting mathematical models capable of forecasting checkpoint inhibitor treatment outcomes in lung cancer?12
A simple model of coupled individual behavior and its impact on epidemic dynamics12
Integrating machine learning into the in silico clinical trial pipeline12
We are all different: Modeling key individual differences in physiological systems12
A stochastic programming approach to the antibiotics time machine problem12
Predator-prey dynamics with personality-dependent foraging and maturation delay: stability switches, Hopf and Bogdanov-Takens bifurcations11
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China11
Mechanistic models are hypotheses: A perspective11
A framework for the modelling and the analysis of epidemiological spread in commuting populations11
Data-driven modeling and prediction of microglial cell dynamics in the ischemic penumbra11
Stability of periodic solution for a free boundary problem modeling small plaques10
A mathematical model for cancer dynamics with treatment and saboteur bacteria10
Optimal control of species augmentation in a competition model10
Life-History traits and the replicator equation10
Finding analytical approximations for discrete, stochastic, individual-based models of ecology10
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex10
A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period10
Applying a multi-strain dengue model to epidemics data9
Extinction in host–vector infection models and the role of heterogeneity9
Nonlinear control designs and their application to cancer differentiation therapy9
Exploring the spatio–temporal dynamics in activator–inhibitor systems through a dual approach of analysis and computation9
Modeling the interplay between disease spread, behaviors, and disease perception with a data-driven approach9
New results on traveling wave solutions for a Keller-Segel system with nonlinear chemical gradient9
A Wheel of Fortune: The eukaryotic cell cycle as a tetra-stable excitable system8
Hypergraphs and centrality measures identifying key features in gene expression data8
A spatiotemporal model for the effects of toxicants on the competitive dynamics of aquatic species8
An SEIR network epidemic model with manual and digital contact tracing allowing delays8
Calibrating a parameterized stochastic Boolean network model of gene regulation using a single steady-state gene expression profile8
Patient-specific prediction of glioblastoma growth via reduced order modeling and neural networks8
Editorial Board8
A mathematical study of anti-VEGF and cytotoxic therapies of cancer with optimal control8
Topological data analysis of antibody dynamics of severe and non-severe patients with COVID-198
Classification of 2-node excitatory–inhibitory networks8
Distributions of prevalence and daily new cases in a stochastic linear SEIR model7
Deconstructing the integrated oscillator model for pancreatic β-ce7
Mathematical modeling of neuroblast migration toward the olfactory bulb7
Mathematical modelling of the mosquito Aedes polynesiensis in a heterogeneous environment7
Social vs. individual age-dependent costs of imperfect vaccination7
Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: Analytical distributions7
Dynamics of bovine tuberculosis transmission in mixed herds in Chad7
Rate-limiting recovery processes in neurotransmission under sustained stimulation7
Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays7
Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines7
Multiseasonal modeling of pesticide resistance in maize stalk borer7
Why does nature force the creation of proteobacteria community in the estuarine ecosystem? - A theoretical model6
Sustainability & social segmentation in social media contagion: A mathematical and computational study on dual effects of individual needs & peer influence6
Book Review6
Bifurcation analysis and fear-induced reactions in non-refuged prey with cooperative hunting among predators: Deterministic and stochastic dynamics6
A Sharp Dichotomy for Wolbachia Invasion: Critical Release Thresholds and Global Stability6
Editorial Board6
A non local model for cell migration in response to mechanical stimuli6
Spatio-temporal model of combining chemotherapy with senolytic treatment in lung cancer6
When Simple is Enough: Binary Models Capture Social Complexity in Coupled Human–Environment Systems6
The dynamics of casual groups can keep free-riders at bay6
Analyzing the impact of threshold strategies on cancer treatment using non-smooth models6
Epidemic spread on patch networks with community structure6
Modeling and analysis of a human papilloma virus transmission model with impact of media6
Persistence index for harvested populations6
Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics6
Stochastic model of siRNA endosomal escape mediated by fusogenic peptides6
Dynamics of a pine wilt disease control model with nonlocal competition and memory diffusion6
Effect of demographic and seasonal variability on an influenza epidemic in a metapopulation model5
Effects of nonlinear impulsive controls and seasonality on hantavirus infection5
Tumor growth and immune response: On the impact of the space-structuration of the tumor microenvironment5
Stochastic modeling of SIS epidemics with logarithmic Ornstein–Uhlenbeck process and generalized nonlinear incidence5
Pattern dynamics analysis and parameter identification of spatiotemporal infectious disease models on complex networks5
Dynamics of phase tumbling and the reentrainment of circadian oscillators5
A stochastic framework for evaluating CAR T cell therapy efficacy and variability5
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models5
Modeling the synergistic interplay between malaria dynamics and economic growth5
Determinants of successful disease control through voluntary quarantine dynamics on social networks5
Modeling mixotroph-bacterium dynamics: Spatial homogeneity vs heterogeneity5
The cumulative lethal rate of repeated spraying of pesticides and its applications5
Editorial Board5
Dynamic analysis of a drug resistance evolution model with nonlinear immune response5
Combining mathematical modeling and deep learning to make rapid and explainable predictions of the patient-specific response to anticoagulant therapy under venous flow5
Critical assessment of the impact of vaccine-type and immunity on the burden of COVID-195
Infection-induced host extinction: Deterministic and stochastic models for environmentally transmitted pathogens5
The impact of risk compensation adaptive behavior on the final epidemic size5
Structural and practical identifiability of an immuno-hand foot and mouth disease model integrating immune response within a host5
Model formulation and oscillatory patterns in immune-pathogen dynamics during Brucellosis infection4
A metapopulation model with exit screening measure for the 2014–2016 West Africa Ebola virus outbreak4
A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-24
Target reproduction numbers for time-delayed population systems4
Editorial Board4
A simultaneous simulation of human behavior dynamics and epidemic spread: A multi-country study amidst the COVID-19 pandemic4
Modeling realistic synaptic inputs of CA1 hippocampal pyramidal neurons and interneurons via Adaptive Generalized Leaky Integrate-and-Fire models4
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment4
Open problems in mathematical biology4
Rich dynamics in a delayed water borne pathogen model with overexposure4
Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise4
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets4
Bifurcation thresholds in a bi-trophic turbidostat system: Refuge-mediated critical transitions and delay-induced oscillatory regimes4
Modeling correlated uncertainties in stochastic compartmental models4
Towards a new combination therapy with vectored immunoprophylaxis for HIV: Modeling “shock and kill” strategy4
An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators4
On the design and stability of cancer adaptive therapy cycles: Deterministic and stochastic models4
Editorial Board4
Editorial Board4
Bifurcations of higher codimension in a Leslie–Gower predator–prey model with Holling II functional response and weak Allee effect4
Modeling spike frequency adaptation through higher-order fractional leaky integrate and fire model4
Two-step global sensitivity analysis of a non-local integro-differential model for Cancer-on-Chip experiments4
Infection propagation in a tissue with resident macrophages4
A simple model for the analysis of epidemics based on hospitalization data4
Partial mean-field model for neurotransmission dynamics4
Estimation of time-varying recovery and death rates from epidemiological data: A new approach4
Interaction intensity in strategic fitness: A quantifying yardstick of selection optimization for evolutionary game4
The impact of water storage capacity on plant dynamics in arid environments: A stoichiometric modeling approach4
Dynamics of a tick-borne disease transmission model with acquired tick resistance4
From economic threshold to economic injury level: Modeling the residual effect and delayed response of pesticide application4
Emergence of non-trivial solutions from trivial solutions in reaction–diffusion equations for pattern formation4
Great fish war with moratorium3
A mathematical model for the within-host (re)infection dynamics of SARS-CoV-23
Natural population dynamics of Asian citrus psyllid, Diaphorina citri, and its control based on pheromone trapping3
Spatial pattern regulation strategy of bimolecular model with anomalous diffusion and nonlocal effects3
Mathematical model of replication–mutation dynamics in coronaviruses3
How to correctly fit an SIR model to data from an SEIR model?3
Population dynamics of a stoichiometric aquatic tri-trophic level model with fear effect3
Stratified epidemic model using a latent marked Hawkes process3
Employing nullclines to balance treatment efficacy and neurotoxicity for sustained tumor control3
Emergence of multiple foraging strategies under competition3
Mechanical causes and implications of repetitive DNA motifs3
Editorial Board3
Editorial Board3
Mathematical modeling of brain metastases growth and response to therapies: A review3
A phenotype-structured mathematical model for the influence of hypoxia on oncolytic virotherapy3
NREM–REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep–wake regulation3
A systematic review of mathematical models of Lassa fever3
Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants3
A local polynomial moment approximation for compartmentalized biochemical systems3
Coupling dynamics of 2D Notch-Delta signalling3
A stochastic model for the bacterial growth exhibiting staged growth, desynchronization, saturation and persistence3
Chemotaxis effects on the vascular tumor growth: Phase-field model and simulations3
Modeling the effects of cross immunity and control measures on competitive dynamics of SARS-CoV-2 variants in the USA, UK, and Brazil3
Comparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoes3
Assessing the influence of HIV on the spread of Mpox disease3
Different routes of infection of H5N1 lead to changes in infecting time3
Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes3
Invasions in a four-species fractured cyclic ecological system3
Editorial Board3
A partition method for bounding continuous-time Markov chain models of general reaction network3
Challenges in cybersecurity: Lessons from biological defense systems3
Modelling the impact of organic molecules and phosphate ions on biosilica pattern formation in diatoms3
Editorial Board3
The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model3
Spatial heterogeneity analysis for the transmission of syphilis disease in China via a data-validated reaction–diffusion model3
A multiobjective optimization approach to data assimilation for complex biological systems with sparse data3
Patterning of nonlocal transport models in biology: The impact of spatial dimension3
Editorial Board3
Editorial Board3
Editorial Board3
Impact of heterogeneity on infection probability: Insights from single-hit dose–response models3
Global dynamics of a compartmental model to assess the effect of transmission from deceased3
Editorial Board3
Editorial Board3
Hopf bifurcation in a coupled age-structured and ODE system with n-predators and m-prey3
A mechanistic modeling and estimation framework for environmental pathogen surveillance3
Mathematical modelling of carbohydrate and protein metabolism in muscle3
Modeling and dynamics of Brucella infection-induced macrophage apoptosis inhibition3
Spatial pattern regulation in pine wilt disease models with feedback mechanisms3
Bifurcation analysis of an SIS epidemic reaction-diffusion model with maturation delay and nonlinear birth3
A model for a population of trees structured by phenological traits3
Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency3
Quantifying the risk of long-term chikungunya persistence in Miami-Dade county3
Recurrent patterns of disease spread post the acute phase of a pandemic: Insights from a coupled system of a differential equation for disease transmission and a delayed algebraic equation for behavio2
A conceptual framework for modeling a latching mechanism for cell cycle regulation2
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells2
Stability and bifurcation analysis of a predator–prey system with feedback-controlled odour and wind-driven decay2
Dynamical differences in rod and cone photoresponses2
Sustainable scenarios in a plants–rhizobacteria–plant consumers system are in risk when biotic or abiotic factors change2
A two-phase model of early atherosclerotic plaque development with LDL toxicity effects2
Extinction and persistence of Peregrinus maidis: Stochastic modeling under thermal, density-dependent, and maize off-season constraints2
Deficient cell-cell cohesion is linked with lobular localization in simplified models of lobular carcinoma in situ (LCIS)2
Role of non-exponential reversal times in aggregation models of bacterial populations2
Competing elastic and viscous gradients determine directional cell migration2
Modeling county level COVID-19 transmission in the greater St. Louis area: Challenges of uncertainty and identifiability when fitting mechanistic models to time-varying processes2
Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis2
A compartmental model for epidemiology with human behavior and stochastic effects2
On the necessity of accounting for age structure in human malaria transmission modeling2
Theoretical quantification of the polyvalent binding of nanoparticles coated with peptide-major histocompatibility complex to T cell receptor-nanoclusters2
Generalized measures of population synchrony2
Optimal control of eggplant pest populations in a Predator–Prey–Parasitoid model with seasonal growth effects2
Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy2
Editorial Board2
Editorial Board2
Analysis of the absorption kinetics following dermal exposure to large doses of volatile organic compounds2
Editorial Board2
Allee effects introduced by density dependent phenology2
A mathematical model of protein subunits COVID-19 vaccines2
Modeling periodic transcriptions in tandem gene systems2
Fibrotic extracellular matrix preferentially induces a partial Epithelial–Mesenchymal Transition phenotype in a 3-D agent based model of fibrosis2
WENDY: Covariance dynamics based gene regulatory network inference2
A soluble model for synchronized rhythmic activity in ant colonies2
A constrained optimisation framework for parameter identification of the SIRD model2
Deciphering Akt activation: Insights from a mean-field model2
How human behavior drives the balance of symptomatic and asymptomatic cases in emerging infections2
A ‘Portfolio of Model Approximations’ approach to understanding invasion success with vector-borne disease2
Fractional-order modeling of myocardium structure effects on atrial fibrillation electrograms2
Editorial Board2
A birth–death model to understand bacterial antimicrobial heteroresistance from time-kill curves2
In Memory of Edmund John Crampin: Multi-scale and multi-physics phenomena in biology2
Editorial Board2
Assessing the impact of the Wolbachia-based control of malaria2
On the anti-quasi-steady-state conditions of enzyme kinetics2
Mathematical model for IL-2-based cancer immunotherapy2
Dynamics aspects and bifurcations of a tumor-immune system interaction under stationary immunotherapy2
Bifurcation analysis of tumor-immune dynamics under the dual Allee effects1
Propagation through a barrier: Numerical analysis of a reaction-diffusion model with free boundary1
Editorial Board1
WITHDRAWN: Editorial—Multi-scale and multi-physics phenomena in biology: A special issue honoring Edmund Crampin1
IP3R activity increases propensity of RyR-mediated sparks by elevating dyadic [Ca2+]1
Editorial Board1
The lost art of mathematical modelling1
A reduced model for the long-term effects of physical activity on type 2 diabetes1
Exploring the role of osteoblast-lineage cells in the evolutionary dynamics of acute myeloid leukemia through a stochastic differential equation model1
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