Igor Szczyrba

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We numerically model the brain dynamics during and after impulsive head translations using linear Partial Differential Equations (PDEs) describing viscoelastic solids and a nonlinear generalization of these PDEs describing incompressible, viscoelastic fluids. The brain matter motion and the sensitivity of the solutions with respect to the skull’s geometry(More)
INTRODUCTION The Head Injury Criterion limit, HIC1000T =1000, was developed based on skull fracture data (short time intervals T) and longer duration head translations that lead to Closed Head Injuries (CHI). However, recent results imply that the HIC limits depend on the time interval T and the victim’s age [1]. Since the HIC lacks a clear physical(More)
We numerically model the human brain dynamics in realistic 2D cross-sections during traumatic scenarios corresponding to the Head Injury Criterion’s critical value HIC36=1000. Our simulations are based on the Kelvin-Voigt Partial Differential Equations that treat the brain tissue as a viscoelastic solid and on our nonlinear generalization of these linear(More)
We numerically model the effects of repetitive human head motions in traumatic scenarios that are associated with severe brain injuries. Our results are based on the linear Kelvin-Voigt brain injury model, which treats the brain matter as a viscoelastic solid, and on our nonlinear generalization of that model, which emulates the gel-like character of the(More)
We investigate how a nonlinear stress-strain relation (that leads to a stiffening of the brain matter under strain) influences the brain dynamics in traumatic situations. We numerically simulate rapid rotational accelerations and decelerations of a human head using our generalization of the viscoelastic Kelvin-Voigt brain injury model that includes an(More)
We present results of numerical simulations that further validate the critical limits we previously proposed for our universal Brain Injury Criterion (BIC). The BIC extends the applicability of the translational Head Injury Criterion (HIC) to arbitrary head motions by reformulating the acceleration-based HIC formula in terms of the energy transferred(More)
We introduce geometric representations of the sequence of the n-anacci constants and generalizations thereof that consist of the ratio limits generated by linear recurrences of an arbitrary order n with equal real weights p > 0. We represent the n-anacci constants and their generalizations geometrically by means of the dilation factors of 1 dilations(More)
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