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 2021-08-01 to 2025-08-01.)
ArticleCitations
Investigating the eco-evolutionary tunnels for establishing cooperative communities33
Effect of cross-immunity in a two-strain cholera model with aquatic component27
Analyzing the use of non-pharmaceutical personal protective measures through self-interest and social optimum for the control of an emerging disease24
Editorial Board23
Editorial Board23
Imperfect vaccine can yield multiple Nash equilibria in vaccination games21
On the role of vesicle transport in neurite growth: Modeling and experiments18
Influence of telomerase activity and initial distribution on human follicular aging: Moving from a discrete to a continuum model18
Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments18
Processes governing species richness in communities exposed to temporal environmental stochasticity: A review and synthesis of modelling approaches17
Effect of homophily on coupled behavior-disease dynamics near a tipping point16
Interplay of virulence factors shapes ecology and treatment outcomes in polymicrobial infections16
Measuring tree balance using symmetry nodes — A new balance index and its extremal properties14
Mycoloop: Modeling phytoplankton–chytrid–zooplankton interactions in aquatic food webs14
A new method for the estimation of stochastic epidemic descriptors reinforced by Kalman-based dynamic parameter estimation. Application to mpox data14
Optimization of additive chemotherapy combinations for an in vitro cell cycle model with constant drug exposures14
Editorial Board13
Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model12
Machine learning provides insight into models of heterogeneous electrical activity in human beta-cells12
A joint-threshold Filippov model describing the effect of intermittent androgen-deprivation therapy in controlling prostate cancer12
Testing-isolation interventions will likely be insufficient to contain future novel disease outbreaks12
Sequential allocation of vaccine to control an infectious disease12
Learning transmission dynamics modelling of COVID-19 using comomodels11
Overcoming the impossibility of age-balanced harvest11
Characterizing symmetry transitions in systems with dynamic morphology11
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator–prey system with high prey group cohesion11
Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals11
Editorial Board10
We are all different: Modeling key individual differences in physiological systems10
Predicting resistance and pseudoprogression: are minimalistic immunoediting mathematical models capable of forecasting checkpoint inhibitor treatment outcomes in lung cancer?10
Dynamics of COVID-19 based on spontaneous individual behaviors of vaccination10
A stochastic programming approach to the antibiotics time machine problem10
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China9
Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach9
A simple model of coupled individual behavior and its impact on epidemic dynamics9
Optimal control of species augmentation in a competition model9
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex9
Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation9
Mechanistic models are hypotheses: A perspective9
A framework for the modelling and the analysis of epidemiological spread in commuting populations8
Classification of 2-node excitatory–inhibitory networks8
Exploring the spatio–temporal dynamics in activator–inhibitor systems through a dual approach of analysis and computation8
Extinction in host–vector infection models and the role of heterogeneity8
Modeling the interplay between disease spread, behaviors, and disease perception with a data-driven approach8
A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period8
Nonlinear control designs and their application to cancer differentiation therapy8
Life-History traits and the replicator equation8
Stability of periodic solution for a free boundary problem modeling small plaques8
Assessing the accuracy of an imperfect dichotomous test in a multiple testing context8
Using observed incidence to calibrate the transmission level of a mathematical model for Plasmodium vivax dynamics including case management and importation7
A spatiotemporal model for the effects of toxicants on the competitive dynamics of aquatic species7
An SEIR network epidemic model with manual and digital contact tracing allowing delays7
Editorial Board7
Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines7
Topological data analysis of antibody dynamics of severe and non-severe patients with COVID-197
Finding analytical approximations for discrete, stochastic, individual-based models of ecology7
Mechanistic gene networks inferred from single-cell data with an outlier-insensitive method7
Social vs. individual age-dependent costs of imperfect vaccination7
Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays7
Deconstructing the integrated oscillator model for pancreatic β-ce7
Book Review7
Applying a multi-strain dengue model to epidemics data7
Editorial Board7
Hypergraphs and centrality measures identifying key features in gene expression data7
Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: Analytical distributions7
Rate-limiting recovery processes in neurotransmission under sustained stimulation7
Mathematical modeling of neuroblast migration toward the olfactory bulb7
A non local model for cell migration in response to mechanical stimuli6
Mathematical modelling of the mosquito Aedes polynesiensis in a heterogeneous environment6
A machine learning model for nowcasting epidemic incidence6
Epidemic spread on patch networks with community structure6
Sustainability & social segmentation in social media contagion: A mathematical and computational study on dual effects of individual needs & peer influence6
Editorial Board6
Combining mathematical modeling and deep learning to make rapid and explainable predictions of the patient-specific response to anticoagulant therapy under venous flow6
Effects of nonlinear impulsive controls and seasonality on hantavirus infection6
Spatio-temporal model of combining chemotherapy with senolytic treatment in lung cancer6
Modeling and analysis of a human papilloma virus transmission model with impact of media6
The dynamics of casual groups can keep free-riders at bay6
Genome-wide covariation in SARS-CoV-26
Modeling the synergistic interplay between malaria dynamics and economic growth5
Infection-induced host extinction: Deterministic and stochastic models for environmentally transmitted pathogens5
Stochastic modeling of SIS epidemics with logarithmic Ornstein–Uhlenbeck process and generalized nonlinear incidence5
The impact of risk compensation adaptive behavior on the final epidemic size5
Emergence of non-trivial solutions from trivial solutions in reaction–diffusion equations for pattern formation5
Effect of demographic and seasonal variability on an influenza epidemic in a metapopulation model5
Critical assessment of the impact of vaccine-type and immunity on the burden of COVID-195
Probabilistic models of uORF-mediated ATF4 translation control5
Dynamics of phase tumbling and the reentrainment of circadian oscillators5
From economic threshold to economic injury level: Modeling the residual effect and delayed response of pesticide application5
Dynamic analysis of a drug resistance evolution model with nonlinear immune response5
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models5
Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics5
Determinants of successful disease control through voluntary quarantine dynamics on social networks5
A simple model for how the risk of pandemics from different virus families depends on viral and human traits5
His and her mathematical models of physiological systems5
Bifurcations of higher codimension in a Leslie–Gower predator–prey model with Holling II functional response and weak Allee effect5
Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise4
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment4
Editorial Board4
The impact of water storage capacity on plant dynamics in arid environments: A stoichiometric modeling approach4
A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-24
Modeling correlated uncertainties in stochastic compartmental models4
An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators4
Partial mean-field model for neurotransmission dynamics4
Modeling realistic synaptic inputs of CA1 hippocampal pyramidal neurons and interneurons via Adaptive Generalized Leaky Integrate-and-Fire models4
A metapopulation model with exit screening measure for the 2014–2016 West Africa Ebola virus outbreak4
A stochastic framework for evaluating CAR T cell therapy efficacy and variability4
Target reproduction numbers for time-delayed population systems4
A simple model for the analysis of epidemics based on hospitalization data4
Optimal allocation of limited vaccine to minimize the effective reproduction number4
Challenges in cybersecurity: Lessons from biological defense systems4
Interaction intensity in strategic fitness: A quantifying yardstick of selection optimization for evolutionary game4
Open problems in mathematical biology4
Infection propagation in a tissue with resident macrophages4
Towards a new combination therapy with vectored immunoprophylaxis for HIV: Modeling “shock and kill” strategy4
Mathematical modeling of brain metastases growth and response to therapies: A review4
A simultaneous simulation of human behavior dynamics and epidemic spread: A multi-country study amidst the COVID-19 pandemic4
Two-step global sensitivity analysis of a non-local integro-differential model for Cancer-on-Chip experiments4
Modeling of network based digital contact tracing and testing strategies, including the pre-exposure notification system, for the COVID-19 pandemic3
Chemotaxis effects on the vascular tumor growth: Phase-field model and simulations3
Mechanical causes and implications of repetitive DNA motifs3
How to correctly fit an SIR model to data from an SEIR model?3
Editorial Board3
Mathematical modelling of atrial and ventricular pressure–volume dynamics and their change with heart rate3
Editorial Board3
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets3
Editorial Board3
Spatial heterogeneity analysis for the transmission of syphilis disease in China via a data-validated reaction–diffusion model3
Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes3
A fully dynamical theory for the rate of arterial gas embolism growth and dissolution3
A local polynomial moment approximation for compartmentalized biochemical systems3
A systematic review of mathematical models of Lassa fever3
The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model3
Editorial Board3
A mechanistic modeling and estimation framework for environmental pathogen surveillance3
NREM–REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep–wake regulation3
Stratified epidemic model using a latent marked Hawkes process3
Comparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoes3
A mathematical model for the within-host (re)infection dynamics of SARS-CoV-23
Editorial Board3
Coupling dynamics of 2D Notch-Delta signalling3
Mathematical modelling of carbohydrate and protein metabolism in muscle3
Global dynamics of a compartmental model to assess the effect of transmission from deceased3
Optimal control of the SIR model with constrained policy, with an application to COVID-193
A stochastic model for the bacterial growth exhibiting staged growth, desynchronization, saturation and persistence3
Dynamical differences in rod and cone photoresponses3
Combining mutation and horizontal gene transfer in a within-host model of antibiotic resistance3
Variant-specific interventions to slow down replacement and prevent outbreaks3
Editorial Board3
Population dynamics of a stoichiometric aquatic tri-trophic level model with fear effect3
Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency3
Patterning of nonlocal transport models in biology: The impact of spatial dimension3
Different routes of infection of H5N1 lead to changes in infecting time3
Editorial Board3
Emergence of multiple foraging strategies under competition3
Impact of heterogeneity on infection probability: Insights from single-hit dose–response models3
Great fish war with moratorium3
Mathematical modeling and analysis of the heat shock protein response during thermal stress in fish and HeLa cells3
Modeling the life cycle of the spotted lanternfly (Lycorma delicatula) with management implications3
Editorial Board2
Modeling the effects of cross immunity and control measures on competitive dynamics of SARS-CoV-2 variants in the USA, UK, and Brazil2
A birth–death model to understand bacterial antimicrobial heteroresistance from time-kill curves2
A conceptual framework for modeling a latching mechanism for cell cycle regulation2
Competing elastic and viscous gradients determine directional cell migration2
Homeostasis in input-output networks: Structure, Classification and Applications2
Sustainable scenarios in a plants–rhizobacteria–plant consumers system are in risk when biotic or abiotic factors change2
Deficient cell-cell cohesion is linked with lobular localization in simplified models of lobular carcinoma in situ (LCIS)2
Editorial Board2
Fibrotic extracellular matrix preferentially induces a partial Epithelial–Mesenchymal Transition phenotype in a 3-D agent based model of fibrosis2
Analysis of the absorption kinetics following dermal exposure to large doses of volatile organic compounds2
Fractional-order modeling of myocardium structure effects on atrial fibrillation electrograms2
Editorial Board2
A ‘Portfolio of Model Approximations’ approach to understanding invasion success with vector-borne disease2
On the anti-quasi-steady-state conditions of enzyme kinetics2
A soluble model for synchronized rhythmic activity in ant colonies2
Theoretical quantification of the polyvalent binding of nanoparticles coated with peptide-major histocompatibility complex to T cell receptor-nanoclusters2
Estimating cellular redundancy in networks of genetic expression2
Deciphering Akt activation: Insights from a mean-field model2
Sustainable management of predatory fish affected by an Allee effect through marine protected areas and taxation2
Editorial Board2
Allee effects introduced by density dependent phenology2
A hybrid spatiotemporal model of PCa dynamics and insights into optimal therapeutic strategies2
A constrained optimisation framework for parameter identification of the SIRD model2
A two-galectin network establishes mesenchymal condensation phenotype in limb development2
Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy2
Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis2
Mathematical model for IL-2-based cancer immunotherapy2
WENDY: Covariance dynamics based gene regulatory network inference2
A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees2
Impact of enzyme turnover on the dynamics of the Michaelis–Menten model2
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
Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants2
A mathematical model of protein subunits COVID-19 vaccines2
On the necessity of accounting for age structure in human malaria transmission modeling2
A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension2
Role of non-exponential reversal times in aggregation models of bacterial populations2
In Memory of Edmund John Crampin: Multi-scale and multi-physics phenomena in biology2
Generalized measures of population synchrony2
Assessment of effective mitigation and prediction of the spread of SARS-CoV-2 in Germany using demographic information and spatial resolution2
Editorial Board2
Mathematically modeling the effect of touch frequency on the environmental transmission of Clostridioides difficile in healthcare settings2
Parameter estimation for closed-loop lumped parameter models of the systemic circulation using synthetic data2
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells2
Dynamics aspects and bifurcations of a tumor-immune system interaction under stationary immunotherapy2
A closed-loop multi-scale model for intrinsic frequency-dependent regulation of axonal growth2
Assessment of bidirectional impact of stigmatization induced self-medication on COVID-19 and malaria transmissions using mathematical modeling: Nigeria as a case study1
Editorial Board1
Robust control strategy by the Sterile Insect Technique for reducing epidemiological risk in presence of vector migration1
Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments1
Adolescent vaping behaviours: Exploring the dynamics of a social contagion model1
Equilibrium analysis of discrete stochastic population models with gamma distribution1
Infection thresholds for two interacting pathogens in a wild animal population1
The importance of incorporating ventricular–ventricular interaction (VVI) in the study of pulmonary hypertension1
Bloom dynamics under the effects of periodic driving forces1
Editorial Board1
Mathematical modeling and analysis of cancer treatment with radiation and anti-PD-L11
Efficient and scalable prediction of stochastic reaction–diffusion processes using graph neural networks1
R Markdown as a dynamic interface for teaching: Modules from math and biology classrooms1
Investigating seasonal disease emergence and extinction in stochastic epidemic models1
A stochastic differential equation model for predator-avoidance fish schooling1
A simple model for viral decay dynamics and the distribution of infected cell life spans in SHIV-infected infant rhesus macaques1
Editorial Board1
Editorial Board1
Editorial Board1
An epidemic model for COVID-19 transmission in Argentina: Exploration of the alternating quarantine and massive testing strategies1
Evidence of the cooperative response of Blattella germanica gut microbiota to antibiotic treatment1
Pairing food and drink: A physiological model of blood ethanol levels for a variety of drinking behaviors1
Unraveling the influence of the objective functional on epidemic optimal control: Insights from the SIR model1
Conditions for Kir-induced bistability of membrane potential in capillary endothelial cells1
Computing the extinction path for epidemic models1
Editorial Board1
The lost art of mathematical modelling1
Modeling virus-stimulated proliferation of CD4+<1
Lattice structures that parameterize regulatory network dynamics1
Dynamics of partially mitigated multi-phasic epidemics at low susceptible depletion: phases of COVID-19 control in Italy as case study1
Travelling waves due to negative plant–soil feedbacks in a model including tree life-stages1
Hyper-differential sensitivity analysis for inverse problems governed by ODEs with application to COVID-19 modeling1
A pipeline for testing drug mechanism of action and combination therapies: From microarray data to simulations via Linear-In-Flux-Expressions1
Network thermodynamics of biological systems: A bond graph approach1
Autocatalytic recombination systems: A reaction network perspective1
In silico modeling of endocrine organ-on-a-chip systems1
Modeling the role of temperature-dependent microbiome composition in black band disease transmission among coral reefs1
A numerical evaluation of the economic tradeoff of vaccination against chikungunya virus in Brazil1
A multi-scale simulation of retinal physiology1
Analyzing the effects of observation function selection in ensemble Kalman filtering for epidemic models1
Demand-induced regime shift in fishery: A mathematical perspective1
Numerical investigations of the bulk-surface wave pinning model1
Editorial Board1
Fitting thermodynamic-based models: Incorporating parameter sensitivity improves the performance of an evolutionary algorithm1
Corrigendum to “Exact and approximate formulas for contact tracing on random trees” [Mathematical Biosciences 321 (2020) 108320]1
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