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 2021-06-01 to 2025-06-01.)
ArticleCitations
Controlling smoking: A smoking epidemic model with different smoking degrees in deterministic and stochastic environments90
Processes governing species richness in communities exposed to temporal environmental stochasticity: A review and synthesis of modelling approaches68
Effect of homophily on coupled behavior-disease dynamics near a tipping point32
Imperfect vaccine can yield multiple Nash equilibria in vaccination games30
Investigating the eco-evolutionary tunnels for establishing cooperative communities25
Effect of cross-immunity in a two-strain cholera model with aquatic component22
Analyzing the use of non-pharmaceutical personal protective measures through self-interest and social optimum for the control of an emerging disease21
A new method for the estimation of stochastic epidemic descriptors reinforced by Kalman-based dynamic parameter estimation. Application to mpox data20
Editorial Board20
Editorial Board20
Mycoloop: Modeling phytoplankton–chytrid–zooplankton interactions in aquatic food webs18
Optimization of additive chemotherapy combinations for an in vitro cell cycle model with constant drug exposures17
Measuring tree balance using symmetry nodes — A new balance index and its extremal properties16
Influence of telomerase activity and initial distribution on human follicular aging: Moving from a discrete to a continuum model16
On the role of vesicle transport in neurite growth: Modeling and experiments15
Editorial Board15
Interplay of virulence factors shapes ecology and treatment outcomes in polymicrobial infections15
Machine learning provides insight into models of heterogeneous electrical activity in human beta-cells14
Sequential allocation of vaccine to control an infectious disease14
A joint-threshold Filippov model describing the effect of intermittent androgen-deprivation therapy in controlling prostate cancer14
Testing-isolation interventions will likely be insufficient to contain future novel disease outbreaks13
Minimising the use of costly control measures in an epidemic elimination strategy: A simple mathematical model12
Overcoming the impossibility of age-balanced harvest12
A simple model of coupled individual behavior and its impact on epidemic dynamics11
Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation11
Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals11
Characterizing symmetry transitions in systems with dynamic morphology11
Learning transmission dynamics modelling of COVID-19 using comomodels10
Editorial Board10
We are all different: Modeling key individual differences in physiological systems10
A stochastic programming approach to the antibiotics time machine problem10
Variation in environmental stochasticity dramatically affects viability and extinction time in a predator–prey system with high prey group cohesion10
Predicting resistance and pseudoprogression: are minimalistic immunoediting mathematical models capable of forecasting checkpoint inhibitor treatment outcomes in lung cancer?10
A stochastic model for neural progenitor dynamics in the mouse cerebral cortex10
Exploring trade-offs in drug administration for cancer treatment: A multi-criteria optimisation approach9
Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions9
Cell orientation under stretch: Stability of a linear viscoelastic model9
Mechanistic models are hypotheses: A perspective9
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China9
Optimal control of species augmentation in a competition model9
Life-History traits and the replicator equation8
Modeling the interplay between disease spread, behaviors, and disease perception with a data-driven approach8
Assessing the accuracy of an imperfect dichotomous test in a multiple testing context8
Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading8
Classification of 2-node excitatory–inhibitory networks8
Applying a multi-strain dengue model to epidemics data8
A mathematical modeling study of the effectiveness of contact tracing in reducing the spread of infectious diseases with incubation period8
A framework for the modelling and the analysis of epidemiological spread in commuting populations8
Stability of periodic solution for a free boundary problem modeling small plaques8
Nonlinear control designs and their application to cancer differentiation therapy8
Editorial Board7
A spatiotemporal model for the effects of toxicants on the competitive dynamics of aquatic species7
Rate-limiting recovery processes in neurotransmission under sustained stimulation7
Editorial Board7
Finding analytical approximations for discrete, stochastic, individual-based models of ecology7
Editorial Board7
An SEIR network epidemic model with manual and digital contact tracing allowing delays7
Extinction in host–vector infection models and the role of heterogeneity7
Mechanistic gene networks inferred from single-cell data with an outlier-insensitive method7
Social vs. individual age-dependent costs of imperfect vaccination7
Predicting the results of competition between two breast cancer lines grown in 3-D spheroid culture6
Book Review6
Spatio-temporal model of combining chemotherapy with senolytic treatment in lung cancer6
Topological data analysis of antibody dynamics of severe and non-severe patients with COVID-196
Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines6
Existence and stability criteria for global synchrony and for synchrony in two alternating clusters of pulse-coupled oscillators updated to include conduction delays6
Model reduction for initial value ODEs6
A non local model for cell migration in response to mechanical stimuli6
Hypergraphs and centrality measures identifying key features in gene expression data6
Deconstructing the integrated oscillator model for pancreatic β-ce6
Modeling and analysis of a human papilloma virus transmission model with impact of media6
Mathematical modelling of the mosquito Aedes polynesiensis in a heterogeneous environment6
The dynamics of casual groups can keep free-riders at bay6
Using observed incidence to calibrate the transmission level of a mathematical model for Plasmodium vivax dynamics including case management and importation6
Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: Analytical distributions6
Effects of nonlinear impulsive controls and seasonality on hantavirus infection5
Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics5
Modeling the synergistic interplay between malaria dynamics and economic growth5
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models5
Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico5
Combining mathematical modeling and deep learning to make rapid and explainable predictions of the patient-specific response to anticoagulant therapy under venous flow5
A machine learning model for nowcasting epidemic incidence5
The impact of risk compensation adaptive behavior on the final epidemic size5
Genome-wide covariation in SARS-CoV-25
Editorial Board5
Critical assessment of the impact of vaccine-type and immunity on the burden of COVID-195
Epidemic spread on patch networks with community structure5
A simple model for how the risk of pandemics from different virus families depends on viral and human traits5
Target reproduction numbers for time-delayed population systems4
Interaction intensity in strategic fitness: A quantifying yardstick of selection optimization for evolutionary game4
Infection propagation in a tissue with resident macrophages4
Dynamics of phase tumbling and the reentrainment of circadian oscillators4
His and her mathematical models of physiological systems4
Emergence of non-trivial solutions from trivial solutions in reaction–diffusion equations for pattern formation4
Probabilistic models of uORF-mediated ATF4 translation control4
Open problems in mathematical biology4
The impact of water storage capacity on plant dynamics in arid environments: A stoichiometric modeling approach4
Two-step global sensitivity analysis of a non-local integro-differential model for Cancer-on-Chip experiments4
A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-24
Different mechanisms of CD200-CD200R induce diverse outcomes in cancer treatment4
A stochastic framework for evaluating CAR T cell therapy efficacy and variability4
From economic threshold to economic injury level: Modeling the residual effect and delayed response of pesticide application4
To Sobol or not to Sobol? The effects of sampling schemes in systems biology applications4
Stochastic modeling of SIS epidemics with logarithmic Ornstein–Uhlenbeck process and generalized nonlinear incidence4
Effect of demographic and seasonal variability on an influenza epidemic in a metapopulation model4
Editorial Board4
A simple model for the analysis of epidemics based on hospitalization data4
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
Bifurcations of higher codimension in a Leslie–Gower predator–prey model with Holling II functional response and weak Allee effect4
Determinants of successful disease control through voluntary quarantine dynamics on social networks4
Dynamic analysis of a drug resistance evolution model with nonlinear immune response4
Infection-induced host extinction: Deterministic and stochastic models for environmentally transmitted pathogens4
Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise4
Challenges in cybersecurity: Lessons from biological defense systems4
How to correctly fit an SIR model to data from an SEIR model?3
Spatial heterogeneity analysis for the transmission of syphilis disease in China via a data-validated reaction–diffusion model3
NREM–REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep–wake regulation3
Editorial Board3
A simultaneous simulation of human behavior dynamics and epidemic spread: A multi-country study amidst the COVID-19 pandemic3
Editorial Board3
Coupling dynamics of 2D Notch-Delta signalling3
Modeling correlated uncertainties in stochastic compartmental models3
An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators3
Different routes of infection of H5N1 lead to changes in infecting time3
A mathematical model for the within-host (re)infection dynamics of SARS-CoV-23
Comparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoes3
Stratified epidemic model using a latent marked Hawkes process3
Spatially localized cluster solutions in inhibitory neural networks3
Chemotaxis effects on the vascular tumor growth: Phase-field model and simulations3
Emergence of multiple foraging strategies under competition3
Editorial Board3
Optimal allocation of limited vaccine to minimize the effective reproduction number3
Mathematical modeling of brain metastases growth and response to therapies: A review3
Mathematical modelling of atrial and ventricular pressure–volume dynamics and their change with heart rate3
Editorial Board3
Editorial Board3
Global dynamics of a compartmental model to assess the effect of transmission from deceased3
Mathematical modeling and analysis of the heat shock protein response during thermal stress in fish and HeLa cells3
Variant-specific interventions to slow down replacement and prevent outbreaks3
Population dynamics of a stoichiometric aquatic tri-trophic level model with fear effect3
Editorial Board3
Editorial Board3
A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets3
Partial mean-field model for neurotransmission dynamics3
Towards a new combination therapy with vectored immunoprophylaxis for HIV: Modeling “shock and kill” strategy3
Patterning of nonlocal transport models in biology: The impact of spatial dimension3
A constrained optimisation framework for parameter identification of the SIRD model2
A birth–death model to understand bacterial antimicrobial heteroresistance from time-kill curves2
Role of non-exponential reversal times in aggregation models of bacterial populations2
A closed-loop multi-scale model for intrinsic frequency-dependent regulation of axonal growth2
A stochastic model for the bacterial growth exhibiting staged growth, desynchronization, saturation and persistence2
Analyzing time activity curves from spatio-temporal tracer data to determine tracer transport velocity in plants2
The effects of tritiated water on competitive outcomes of two Daphnia species in lakes: A reaction–diffusion tritium-taxis model2
Optimal control of the SIR model with constrained policy, with an application to COVID-192
A mechanistic modeling and estimation framework for environmental pathogen surveillance2
Combining mutation and horizontal gene transfer in a within-host model of antibiotic resistance2
A systematic review of mathematical models of Lassa fever2
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
Dynamics aspects and bifurcations of a tumor-immune system interaction under stationary immunotherapy2
Editorial Board2
Assessment of effective mitigation and prediction of the spread of SARS-CoV-2 in Germany using demographic information and spatial resolution2
Deciphering Akt activation: Insights from a mean-field model2
A mathematical model of protein subunits COVID-19 vaccines2
A soluble model for synchronized rhythmic activity in ant colonies2
Editorial Board2
Great fish war with moratorium2
Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes2
Modeling of network based digital contact tracing and testing strategies, including the pre-exposure notification system, for the COVID-19 pandemic2
Editorial Board2
Dynamical differences in rod and cone photoresponses2
Mathematical model for IL-2-based cancer immunotherapy2
Mathematically modeling the effect of touch frequency on the environmental transmission of Clostridioides difficile in healthcare settings2
On the necessity of accounting for age structure in human malaria transmission modeling2
Sustainable scenarios in a plants–rhizobacteria–plant consumers system are in risk when biotic or abiotic factors change2
Fractional-order modeling of myocardium structure effects on atrial fibrillation electrograms2
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells2
A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees2
A ‘Portfolio of Model Approximations’ approach to understanding invasion success with vector-borne disease2
Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy2
Theoretical quantification of the polyvalent binding of nanoparticles coated with peptide-major histocompatibility complex to T cell receptor-nanoclusters2
A fully dynamical theory for the rate of arterial gas embolism growth and dissolution2
Mechanical causes and implications of repetitive DNA motifs2
Modeling the life cycle of the spotted lanternfly (Lycorma delicatula) with management implications2
Fibrotic extracellular matrix preferentially induces a partial Epithelial–Mesenchymal Transition phenotype in a 3-D agent based model of fibrosis2
Post-pandemic modeling of COVID-19: Waning immunity determines recurrence frequency2
A local polynomial moment approximation for compartmentalized biochemical systems2
A conceptual framework for modeling a latching mechanism for cell cycle regulation2
Estimating cellular redundancy in networks of genetic expression2
Sustainable management of predatory fish affected by an Allee effect through marine protected areas and taxation1
Random evolutionary dynamics in predator–prey systems yields large, clustered ecosystems1
Editorial Board1
A probabilistic model of relapse in drug addiction1
WENDY: Covariance dynamics based gene regulatory network inference1
Effects of fish–human transmission and different life stages of fish on Clonorchiasis: A novel mathematical model1
Adolescent vaping behaviours: Exploring the dynamics of a social contagion model1
Infection thresholds for two interacting pathogens in a wild animal population1
Editorial Board1
Pairing food and drink: A physiological model of blood ethanol levels for a variety of drinking behaviors1
Bloom dynamics under the effects of periodic driving forces1
An epidemic model for COVID-19 transmission in Argentina: Exploration of the alternating quarantine and massive testing strategies1
Analyzing the effects of observation function selection in ensemble Kalman filtering for epidemic models1
In silico modeling of endocrine organ-on-a-chip systems1
WITHDRAWN: Editorial—Multi-scale and multi-physics phenomena in biology: A special issue honoring Edmund Crampin1
A numerical evaluation of the economic tradeoff of vaccination against chikungunya virus in Brazil1
Demand-induced regime shift in fishery: A mathematical perspective1
Deficient cell-cell cohesion is linked with lobular localization in simplified models of lobular carcinoma in situ (LCIS)1
Editorial Board1
Generalized measures of population synchrony1
Computational modelling of nephron progenitor cell movement and aggregation during kidney organogenesis1
Analysis of the absorption kinetics following dermal exposure to large doses of volatile organic compounds1
Biological pattern formation in cell dynamics under cross-diffusion: An Isogeometric analysis perspective1
On the anti-quasi-steady-state conditions of enzyme kinetics1
Modeling the effects of size-dependent harvesting strategies on the population dynamics of tropical trees1
In Memory of Edmund John Crampin: Multi-scale and multi-physics phenomena in biology1
Editorial Board1
Equilibrium analysis of discrete stochastic population models with gamma distribution1
Network thermodynamics of biological systems: A bond graph approach1
A pipeline for testing drug mechanism of action and combination therapies: From microarray data to simulations via Linear-In-Flux-Expressions1
A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension1
Dynamics of partially mitigated multi-phasic epidemics at low susceptible depletion: phases of COVID-19 control in Italy as case study1
Editorial Board1
Efficient and scalable prediction of stochastic reaction–diffusion processes using graph neural networks1
The lost art of mathematical modelling1
Allee effects introduced by density dependent phenology1
COVID-19 optimal vaccination policies: A modeling study on efficacy, natural and vaccine-induced immunity responses1
A hybrid spatiotemporal model of PCa dynamics and insights into optimal therapeutic strategies1
Modelling the stochastic importation dynamics and establishment of novel pathogenic strains using a general branching processes framework1
Editorial Board1
Bistability between acute and chronic states in a Model of Hepatitis B Virus Dynamics1
Parameter estimation for closed-loop lumped parameter models of the systemic circulation using synthetic data1
Modeling the distribution of enzymes on lipid vesicles: A novel framework for surface-mediated reactions in coagulation1
Impact of enzyme turnover on the dynamics of the Michaelis–Menten model1
Evidence of the cooperative response of Blattella germanica gut microbiota to antibiotic treatment1
Modeling the role of temperature-dependent microbiome composition in black band disease transmission among coral reefs1
Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments1
Competing elastic and viscous gradients determine directional cell migration1
Autocatalytic recombination systems: A reaction network perspective1
A two-galectin network establishes mesenchymal condensation phenotype in limb development1
Unraveling the influence of the objective functional on epidemic optimal control: Insights from the SIR model1
Mathematical modeling and analysis of cancer treatment with radiation and anti-PD-L11
Homeostasis in input-output networks: Structure, Classification and Applications1
IP3R activity increases propensity of RyR-mediated sparks by elevating dyadic [Ca2+]1
Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis1
Identifying patterning behavior in a plant infestation of insect pests1
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