Journal of Mathematical Biology

Article	Citations
Individual based models exhibiting Lévy-flight type movement induced by intracellular noise	52
Stability bounds of a delay visco-elastic rheological model with substrate friction	52
Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties	36
Occupancy times for time-dependent stage-structured models	36
Homeostatic regulation of renewing tissue cell populations via crowding control: stability, robustness and quasi-dedifferentiation	36
Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species	35
Influence of electric pulse characteristics on the cellular internalization of chemotherapeutic drugs and cell survival fraction in electroporated and vasoconstricted cancer tissues using boundary ele	30
Optimal vaccine allocation for the control of sexually transmitted infections	27
The influence of synaptic plasticity on critical coupling estimates for neural populations	27
Parameter estimation in fluorescence recovery after photobleaching: quantitative analysis of protein binding reactions and diffusion	25
Global dynamics of a generalist predator–prey model in open advective environments	23
Nonlinear diffusion in multi-patch logistic model	22
Modelling non-local cell-cell adhesion: a multiscale approach	22
Analysis of an HIV/AIDS Model with sexual transmission and travel in a patchy environment	21
Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model	21
Heterogeneous Multiscale Multivariate Autoregressive Model: existence, sparse estimation and application to functional connectivity in neuroscience	21
Upscaling between an agent-based model (smoothed particle approach) and a continuum-based model for skin contractions	20
Walk this way: modeling foraging ant dynamics in multiple food source environments	20
Lotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance	20
On convergence for hybrid models of gene regulatory networks under polytopic uncertainties: a Lyapunov approach	19
Dimensionality reduction via path integration for computing mRNA distributions	19
Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view	19
Effectiveness of isolation measures with app support to contain COVID-19 epidemics: a parametric approach	18
An integral renewal equation approach to behavioural epidemic models with information index	17
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data	16

Classes of explicit phylogenetic networks and their biological and mathematical significance	16
Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches	16
Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections	16
Tumor growth and population modeling in a toxicant-stressed random environment	15
Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment	14
Phase-field model of bilipid membrane electroporation	14
Mathematical model for the estrogen paradox in breast cancer treatment	14
Assessment of event-triggered policies of nonpharmaceutical interventions based on epidemiological indicators	14
Adjusting the range of cell–cell communication enables fine-tuning of cell fate patterns from checkerboard to engulfing	14
Bifurcation analysis for a single population model with advection	14
Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks	14
A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves	14
A model and a numerical scheme for the description of distribution and abundance of individuals	14
Network transformation-based analysis of biochemical systems	13
Operating diagrams for a three-tiered microbial food web in the chemostat	13
Accessibility percolation on Cartesian power graphs	13
Description of chemical systems by means of response functions	13
The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes	13
Model analysis and data validation of structured prevention and control interruptions of emerging infectious diseases	12
A diffusive virus model with a fixed intracellular delay and combined drug treatments	12
Deterministic and stochastic modeling for PDGF-driven gliomas reveals a classification of gliomas	12
A hierarchical intervention scheme based on epidemic severity in a community network	12
Competitive coexistence of seasonal breeders	12
The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche	12
Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems	12
Mathematical properties of pump-leak-cotransport models	11
The arithmetic topology of genetic alignments	11
Persistent prey species in the Lotka–Volterra apparent competition system with a single shared predator	11
Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic	11
Vector-borne disease outbreak control via instant releases	11
Parameter estimation from single patient, single time-point sequencing data of recurrent tumors	11
A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements	11
Life history traits and dispersal shape neutral genetic diversity in metapopulations	10
Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity	10
A Turing mechanism in order to explain the patchy nature of Crohn’s disease	10
Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention	10
A mechanistic derivation of the Monod bioreaction equation for a limiting nutrient	10
Threshold behavior and exponential ergodicity of an sir epidemic model: the impact of random jamming and hospital capacity	10
Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy	10
Classification of infinitesimal homeostasis in four-node input–output networks	10
A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach	10
Efficiency functionals for the Lévy flight foraging hypothesis	9
Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach	9
Mathematical modeling and quantitative analysis of phenotypic plasticity during tumor evolution based on single-cell data	9
Transmission dynamics of a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods	9
Ancestral state reconstruction with large numbers of sequences and edge-length estimation	9
Dynamics and bifurcations in a model of chronic myeloid leukemia with optimal immune response windows	9
Convective stability of the critical waves of an FKPP-type model for self-organized growth	9
General conditions for Turing and wave instabilities in reaction -diffusion systems	9
Effective population size in simple infectious disease models	9

Locked fronts in a discrete time discrete space population model	9
Correction to: Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model	9
Graph-based, dynamics-preserving reduction of (bio)chemical systems	9
Adaptation in a heterogeneous environment I: persistence versus extinction	9
Traveling waves of an FKPP-type model for self-organized growth	9
Kinetic models for epidemic dynamics with social heterogeneity	8
Model selection for assessing the effects of doxorubicin on triple-negative breast cancer cell lines	8
An algebraic model for inversion and deletion in bacterial genome rearrangement	8
Analysis of long transients and detection of early warning signals of extinction in a class of predator–prey models exhibiting bistable behavior	8
Biological invasion with a porous medium type diffusion in a heterogeneous space	8
Cannibalistic enemy–pest model: effect of additional food and harvesting	8
Age-structured modeling of COVID-19 dynamics: the role of treatment and vaccination in controlling the pandemic	8
Optimal adaptive therapeutic schedules for metastatic castrate-resistant prostate cancer based on bilevel optimization problem	8
Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain	8
A return-to-home model with commuting people and workers	8
Bifurcations induced by nonlocal spatial memory versus nonlocal perception	8
Limits of epidemic prediction using SIR models	8
The impact of household structure on disease-induced herd immunity	8
A hybrid transmission model for Plasmodium vivax accounting for superinfection, immunity and the hypnozoite reservoir	8
The structure of the genetic code as an optimal graph clustering problem	7
Confinement tonicity on epidemic spreading	7
Single-cell 3D genome reconstruction in the haploid setting using rigidity theory	7
Optimal vaccination policy to prevent endemicity: a stochastic model	7
Vertex results for the robust analysis of uncertain biochemical systems	7
An age-dependent immuno-epidemiological model with distributed recovery and death rates	7
The power of Allee effects: inducing multistability and oscillations in a stoichiometric producer-herbivore system	7
Spiracular fluttering decouples oxygen uptake and water loss: a stochastic PDE model of respiratory water loss in insects	7
A network aggregation model for amyloid-$$\beta $$ dynamics and treatment of Alzheimer’s diseases at the brain scale	7
Temperature sensitivity of pest reproductive numbers in age-structured PDE models, with a focus on the invasive spotted lanternfly	7
Analysis of dim-light responses in rod and cone photoreceptors with altered calcium kinetics	7
Contact tracing & super-spreaders in the branching-process model	7
Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect	6
Persistence in a large network of sparsely interacting neurons	6
Site-bond percolation model of epidemic spreading with vaccination in complex networks	6
Long-time behavior and Darwinian optimality for an asymmetric size-structured branching process	6
Mathematical indices for the influence of risk factors on the lethality of a disease	6
Parasite infection in a cell population: role of the partitioning kernel	6
In distributive phosphorylation catalytic constants enable non-trivial dynamics	6
Theoretical modeling of collaterally sensitive drug cycles: shaping heterogeneity to allow adaptive therapy	6
Pulled, pushed or failed: the demographic impact of a gene drive can change the nature of its spatial spread	6
Stochastic control of ecological networks	6
Selective electrical stimulation of low versus high diameter myelinated fibers and its application in pain relief: a modeling study	6
Long-term behavior of stochastic SIQRS epidemic models	6
Optimal vaccination ages for emerging infectious diseases under limited vaccine supply	6
Front propagation in the shadow wave-pinning model	6
Pace and motor control optimization for a runner	6
Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence–uniqueness, finite element computation and application to multiple ischemic disease	6
Temporal optimization of radiation therapy to heterogeneous tumour populations and cancer stem cells	6
Modelling the interplay between the CD4$$^{+}$$/CD8$$^{+}$$ T-cell ratio and the expression of MHC-I in tumours	6
An age-of-infection model with both symptomatic and asymptomatic infections	6
Propagation dynamics for an age-structured population model in time-space periodic habitat	6
Exchangeable coalescents beyond the Cannings class	6
A mathematical model with aberrant growth correction in tissue homeostasis and tumor cell growth	6
Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods	6
Memory effects in disease modelling through kernel estimates with oscillatory time history	5
Inference in Gaussian state-space models with mixed effects for multiple epidemic dynamics	5
Data driven modeling of pseudopalisade pattern formation	5
Vectorial crystallization problems and collective behavior	5
Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species	5
Infection-induced increases to population size during cycles in a discrete-time epidemic model	5
Perceptive movement of susceptible individuals with memory	5
Phase field modeling and computation of vesicle growth or shrinkage	5
The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models	5
Hive geometry shapes the recruitment rate of honeybee colonies	5
Revisiting Shao and Sokal’s B2 index of phylogenetic balance	5
Stochastic transmission in epidemiological models	5
Stochastic dynamics of an SIS epidemic on networks	5
Filtering coupled Wright–Fisher diffusions	5
Wave speed and critical patch size for integro-difference equations with a strong Allee effect	5
STDP-based associative memory formation and retrieval	5
Staged HIV transmission and treatment in a dynamic model with long-term partnerships	5
A West Nile virus nonlocal model with free boundaries and seasonal succession	5
A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity	5
A binary search scheme for determining all contaminated specimens	5
An aggregation model of cockroaches with fast-or-slow motion dichotomy	5
Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation	5
An SIRS model with nonmonotone incidence and saturated treatment in a changing environment	5
Impact of ontogenic changes on the dynamics of a fungal crop disease model motivated by coffee leaf rust	5
Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species	5
Neuronal activity induces symmetry breaking in neurodegenerative disease spreading	5

The hybrid number of a ploidy profile	5
A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling	5
Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality	5
Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States	5
Physiological insights into electrodiffusive maintenance of gastric mucus through sensitivity analysis and simulations	5
Foundations of static and dynamic absolute concentration robustness	5
Evolutionary stability is sensitive on the conflict between reproduction and survival: proofs	5