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Large-Scale Inverse Problems in Imaging
Large-scale inverse problems arise in a variety of significant applications in image processing, and efficient regularization methods are needed to...
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An Algorithm for Solving Nonlinear Differential-Difference Models
A novel technique for numerical solution of the nonlinear differential equations arising in nanotechnology and engineering phenomena is presented in...
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Further study of rubber-like elasticity: elastic potentials matching biaxial data
By virtue of the rational interpolation procedure and logarithmic strain, a direct approach is proposed to obtain elastic potentials that exactly...
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Experimental and Computational Investigation of the Role of Stress Fiber Contractility in the Resistance of Osteoblasts to Compression
The mechanical behavior of the actin cytoskeleton has previously been investigated using both experimental and computational techniques. However,...
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Large-Scale Inverse Problems in Imaging
Large-scale inverse problems arise in a variety of significant applications in image processing, and efficient regularization methods are needed to...
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Mathematical modeling of collagen turnover in biological tissue
We present a theoretical and computational model for collagen turnover in soft biological tissues. Driven by alterations in the mechanical...
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Fundamental Aspects in Modelling the Constitutive Behaviour of Fibered Soft Tissues
Fibered soft tissues like ligament, tendons, cartilage or those composing the cardiovascular system among others are characterized by a complex...
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Deconvolution and Denoising for Confocal Microscopy
Fluorescence light microscopes, especially the confocal laser scanning microscopes, have become a powerful tool in life sciences for observing...
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Structurally motivated damage models for arterial walls. Theory and application
The mechanical integrity of the arterial wall is vital for the health of the individual. This integrity is in turn dependent on the state of the...
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A mathematical model for mesenchymal and chemosensitive cell dynamics
The structure of an underlying tissue network has a strong impact on cell dynamics. If, in addition, cells alter the network by mechanical and...
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Biosensors based on the thin-film magnetoresistive sensors
The review considered the state-of-the-art in the development of devices for detection of the agents of disease on the basis of the Lab on a chip...
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Large-Scale Inverse Problems in Imaging
Large-scale inverse problems arise in a variety of significant applications in image processing, and efficient regularization methods are needed to...
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On the Modelling of Biological Patterns with Mechanochemical Models: Insights from Analysis and Computation
The diversity of biological form is generated by a relatively small number of underlying mechanisms. Consequently, mathematical and computational...
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Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
Resorting to a multiphase modelling framework, tumours are described here as a mixture of tumour and host cells within a porous structure constituted...
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Mathematical modeling and optimization of intratumor drug transport
A pseudohyperbolic problem of optimal control of intratumoral drug distribution is formulated. It takes into account the heterogeneity of tumor...
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A computer model of fractal myocardial perfusion heterogeneity to elucidate mechanisms of changes in critical coronary stenosis and hypotension
Critical coronary stenosis (critical CS) alone does not lead to an alteration of fractal dimension ( D ) under resting conditions in a pig model,...
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Mathematical Models for Polymerization Processes of Ziegler-Natta Type
Polymer science is an extraordinary source of very interesting mathematical problems, as it is largely testified by the recent literature. Research...