Mathematical Modelling in Biosciences
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Critical fluctuations in epidemic models explain COVID‑19 post‑lockdown dynamics
(20210706)As the COVID19 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 spacefractional bidomain framework for cardiac electrophysiology: 1D alternans dynamics
(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
(202101)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 CrossProtection on Vaccine Trials: DENVax as a Case Study
(202011)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 COVID19: Challenges and results
(202010)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 COVID19 fully parametrized SHARUCD framework
(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 SHARmodels) and develop the notion of comparing ... 
Reproduction ratio and growth rates: Measures for an unfolding pandemic
(202005)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 COVID19 ... 
Conditionspecific mortality risk can explain differences in COVID19 case fatality ratios around the globe
(202009)Objectives With COVID19 infections resulting in death according to a hierarchy of risks, with age and preexisting health conditions enhancing disease severity, the objective of this study is to estimate the conditionspecific ... 
Ethics of a partially effective dengue vaccine: Lessons from the Philippines
(202007)Dengvaxia, a chimeric yellow fever tetravalent dengue vaccine developed by SanofiPasteur is widely licensed in dengueendemic 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
(202010)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
(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 fractionaldiffusion in cardiac electrophysiology: A quantitative study
(202005)Microscopic structural features of cardiac tissue play a fundamental role in determining complex spatiotemporal excitation dynamics at the macroscopic level. Recent efforts have been devoted to the development of mathematical ... 
Advanced Mathematical Modelling of Pancreatic βCells
(20191210)Insulinsecreting 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. ... 
Metamodeling on detailed geography for accurate prediction of invasive alien species dispersal
(20191107)Invasive species are recognized as a significant threat to biodiversity. The mathematical modeling of their spatiotemporal dynamics can provide significant help to environmental managers in devising suitable control ... 
Clinical correlates of mathematical modeling of cortical spreading depression: Single‐cases study
(20190728)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
(20190605)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 ... 
Patientspecific modelling of cortical spreading depression applied to migraine studies
(20190617)Migraine is a common neurological disorder and onethird of migraine patients suffer from migraine aura, a perceptual disturbance preceding the typically unilateral headache. Cortical spreading depression (CSD), a ... 
Glioma invasion and its interplay with the nervous tissue: a multiscale model
(2019)A multiscale mathematical model for glioma cell migration and proliferation is proposed, taking into account a possible therapeutic approach. Starting with the description of processes taking place on the subcellular level, ... 
SDEdriven modeling of phenotypically heterogeneous tumors: The influence of cancer cell stemness
(2019)We deduce cell population models describing the evolution of a tumor (possibly interacting with its environment of healthy cells) with the aid of differential equations. Thereby, different subpopulations of cancer cells ... 
Tissue drives lesion: computational evidence of interspecies variability in cardiac radiofrequency ablation
(2019)Radiofrequency catheter ablation (RFCA) is widely used for the treatment of various types of cardiac arrhythmias. Typically, the efficacy and the safety of the ablation protocols used in the clinics are derived from tests ...