Mathematical Medicine and Biology - recent issuesMathematical Medicine and Biology - RSS feed of recent issues (covers the latest 3 issues, including the current issue)Optimal control applied to a thoraco-abdominal CPR model- June 6, 2008 The techniques of optimal control are applied to a validated blood circulation model of cardiopulmonary resuscitation (CPR), consisting of a system of seven difference equations. In this system, the non-homogeneous forcing terms are chest and abdominal pressures acting as the ‘controls’. We seek to maximize the blood flow, as measured by the pressure difference between the thoracic aorta and the right atrium. By applying optimal control methods, we characterize the optimal waveforms.http://imammb.oxfordjournals.org/cgi/content/short/25/2/157?rss=1 Single-cell-based models in biology and medicine- June 6, 2008http://imammb.oxfordjournals.org/cgi/content/short/25/2/185?rss=1 Neuronal currents and EEG-MEG fields- June 6, 2008 In a recent paper by the author, Fokas and Hadjiloizi proved that a neuronal current within a spherical homogeneous conductor can be split into two orthogonal components in such a way that one component provides the electroencephalography (EEG)-related fields and the other component provides the fields related to magnetoencephalography (MEG). Hence, in spherical geometry, the EEG and MEG measurements contain no overlapping information about the current. In the present work, we utilize a new...http://imammb.oxfordjournals.org/cgi/content/short/25/2/133?rss=1 A model for an inverse power constitutive law for cerebral compliance- June 6, 2008 This work provides a model that links the commonly used inverse power relationship between cerebral compliance and intracranial pressure to some mechanical properties of distal cerebral veins. The underlying model of the compliance is based on a mechanism whereby the distal cerebral blood vessels are assumed to be the main compliant part of the brain and cerebrospinal fluid volume changes are accommodated by blood displacement into or out of these vessels. This simplified model is not intended..http://imammb.oxfordjournals.org/cgi/content/short/25/2/113?rss=1 Impact of delays in cell infection and virus production on HIV-1 dynamics- June 6, 2008 Analysed is a mathematical model for HIV-1 infection with two delays accounting, respectively, for (i) a latent period between the time target cells are contacted by the virus particles and the time the virions enter the cells and (ii) a virus production period for new virions to be produced within and released from the infected cells. For this model, the basic reproduction number is identified and its threshold property is discussed: the uninfected steady state is proved to be globally...http://imammb.oxfordjournals.org/cgi/content/short/25/2/99?rss=1 A general tumour control probability model for non-uniform dose distributions- June 6, 2008 Perfectly uniform dose distributions over target volumes are almost impossible to achieve in clinical practice, due to surrounding normal tissues dose constraints that are commonly imposed to treatment plans. This article introduces a new approach to compute tumour control probabilities (TCPs) under inhomogeneous dose conditions. The equivalent subvolume model presented here does not assume independence between cell responses and can be derived from any homogeneous dose TCP model. To check the..http://imammb.oxfordjournals.org/cgi/content/short/25/2/171?rss=1 Maximum likelihood estimation of a time-inhomogeneous stochastic differential model of glucose dynamics- June 6, 2008 Stochastic differential equations (SDEs) are assuming an important role in the definition of dynamical models allowing for explanation of internal variability (stochastic noise). SDE models are well established in many fields, such as investment finance, population dynamics, polymer dynamics, hydrology and neuronal models. The metabolism of glucose and insulin has not yet received much attention from SDE modellers, except from a few recent contributions, because of methodological and...http://imammb.oxfordjournals.org/cgi/content/short/25/2/141?rss=1 |