Mathematical Modelling in Biosciences
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Modeling dengue immune responses mediated by antibodies: A qualitative study
Sebayang, A.A.; Fahlena, H.; Anam, V.
; Knopoff, D.A.; Stollenwerk, N.; Aguiar, M.; Soewono, E. (2021-09-01)
Dengue fever is a viral mosquito-borne infection and a major international public health concern. With 2.5 billion people at risk of acquiring the infection around the world, disease severity is influenced by the immunological ... -
A multiscale network-based model of contagion dynamics: heterogeneity, spatial distancing and vaccination
Aguiar, M.; Dosi, G.; Knopoff, D.A.; Virgillito, M.E. (2021)
Lockdown and vaccination policies have been the major concern in the last year in order to contain the SARS-CoV-2 infection during the COVID-19 pandemic. In this paper we present a model able to evaluate alternative lockdown ... -
What is life? A perspective of the mathematical kinetic theory of active particles
Bellomo, N.; Burini, D.; Dosi, G.; Gibelli, L.; Knopoff, D.A.; Outada, N.; Terna, P.; Virgillito, M.E. (2021)
The modeling of living systems composed of many interacting entities is treated in this paper with the aim of describing their collective behaviors. The mathematical approach is developed within the general framework of ... -
Critical fluctuations in epidemic models explain COVID‑19 post‑lockdown dynamics
Aguiar, M.; BidaurrazagaVan‑Dierdonc, J.; Mar, J.; Cusimano, N.; Knopoff, D.A.; Anam, V.; Stollenwerk, N. (2021-07-06)
As the COVID-19 pandemic progressed, research on mathematical modeling became imperative and very influential to understand the epidemiological dynamics of disease spreading. The momentary reproduction ratio r(t) of an ... -
A space-fractional bidomain framework for cardiac electrophysiology: 1D alternans dynamics
Cusimano, N.; Gerardo-Giorda, L.; Gizzi, A. (2021)
Cardiac electrophysiology modeling deals with a complex network of excitable cells forming an intricate syncytium: the heart. The electrical activity of the heart shows recurrent spatial patterns of activation, known as ... -
Mathematical models for glioma growth and migration inside the brain
(2021-01)Gliomas are the most prevalent, aggressive, and invasive subtype of primary brain tumors, characterized by rapid cell proliferation and great infiltration capacity. De- spite the advances of clinical research, these tumors ... -
The Impact of Serotype Cross-Protection on Vaccine Trials: DENVax as a Case Study
Aguiar, M.; Stollenwerk, N. (2020-11)
There is a growing public health need for effective preventive interventions against dengue, and a safe, effective and affordable dengue vaccine against the four serotypes would be a significant achievement for disease ... -
Modeling COVID-19: Challenges and results
Aguiar, M. (2020-10)
Weird times we are living in. While lots of technological, medical and scientific advances are generated in a short period of time, we are now fighting a pandemic, trying to stop the spread of a new virus that has not only ... -
SHAR and effective SIR models: from dengue fever toy models to a COVID-19 fully parametrized SHARUCD framework
Aguiar, M.; Stollenwerk, N. (2020)
We review basic models of severe/hospitalized and mild/asymptomatic infection spreading (with classes of susceptibles S, hopsitalized H, asymptomatic A and recovered R, hence SHAR-models) and develop the notion of comparing ... -
Reproduction ratio and growth rates: Measures for an unfolding pandemic
Aguiar, M.; Bidaurrazaga Van-Dierdonck, J.; Stollenwerk, N. (2020-05)
The initial exponential growth rate of an epidemic is an important measure that follows directly from data at hand, commonly used to infer the basic reproduction number. As the growth rates λ(t) of tested positive COVID-19 ... -
Condition-specific mortality risk can explain differences in COVID-19 case fatality ratios around the globe
Aguiar, M.; Stollenwerk, N. (2020-09)
Objectives With COVID-19 infections resulting in death according to a hierarchy of risks, with age and pre-existing health conditions enhancing disease severity, the objective of this study is to estimate the condition-specific ... -
Ethics of a partially effective dengue vaccine: Lessons from the Philippines
Halstead, B.S.; Katzelnick, L.C.; Russell, P.K.; Markoff, L.; Aguiar, M.; Dans, L.R.; Dans A , L. (2020-07)
Dengvaxia, a chimeric yellow fever tetravalent dengue vaccine developed by SanofiPasteur is widely licensed in dengue-endemic countries. In a large cohort study Dengvaxia was found to partially protect children who had ... -
Modelling COVID 19 in the Basque Country from introduction to control measure response
Aguiar, M.; Ortuondo, E.M.; Bidaurrazaga Van-Dierdonck, J.; Mar J; Stollenwerk, N. (2020-10)
In March 2020, a multidisciplinary task force (so‐called Basque Modelling Task Force, BMTF) was created to assist the Basque health managers and Government during the COVID‐19 responses. BMTF is a modelling team, working ... -
Numerical approximations for fractional elliptic equations via the method of semigroups
Cusimano, N.; Del Teso, F.; Gerardo-Giorda, L. (2020)
We provide a novel approach to the numerical solution of the family of nonlocal elliptic equations $(-\Delta)^su=f$ in $\Omega$, subject to some homogeneous boundary conditions $\mathcal{B}(u)=0$ on $\partial \Omega$, where ... -
Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: A quantitative study
Cusimano, N.; Gizzi, A.; Fenton, F.H.; Filippi, S.; Gerardo-Giorda, L. (2020-05)
Microscopic structural features of cardiac tissue play a fundamental role in determining complex spatio-temporal excitation dynamics at the macroscopic level. Recent efforts have been devoted to the development of mathematical ... -
Advanced Mathematical Modelling of Pancreatic β-Cells
(2019-12-10)Insulin-secreting pancreatic $\beta$-cells are responsible for maintaining the whole body glucose homeostasis. Dysfunction or loss of $\beta$-cell mass results in impaired insulin secretion and, in some cases, diabetes. ... -
Meta-modeling on detailed geography for accurate prediction of invasive alien species dispersal
(2019-11-07)Invasive species are recognized as a significant threat to biodiversity. The mathematical modeling of their spatio-temporal dynamics can provide significant help to environmental managers in devising suitable control ... -
Clinical correlates of mathematical modeling of cortical spreading depression: Single‐cases study
Kroos, J.M.; de Tommaso, M.; Stramaglia, S.; Vecchio, E.; Burdi, N.; Gerardo-Giorda, L. (2019-07-28)
Introduction: Considerable connections between migraine with aura and cortical spreading depression (CSD), a depolarization wave originating in the visual cortex and traveling toward the frontal lobe, lead to the hypothesis ... -
Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model
(2019-06-05)The energetic needs of brain cells at rest and during elevated neuronal activation has been the topic of many investigations where mathematical models have played a significant role providing a context for the interpretation ... -
Patient-specific modelling of cortical spreading depression applied to migraine studies
(2019-06-17)Migraine is a common neurological disorder and one-third of migraine patients suffer from migraine aura, a perceptual disturbance preceding the typically unilateral headache. Cortical spreading depression (CSD), a ...
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