Human brain tissue is complex and multi-component in nature. It consists of an anisotropic hyperelastic solid material composed cells blood vessel walls. Brain permeated by two viscous pore liquids, the interstitial fluid blood. Both liquids are mobile within exhibit a significant perfusion behaviour. To model this aggregate, well-founded Theory Porous Media, continuum-mechanical approach for description aggregates, used. include microscopic information, enhanced characteristics obtained...

Abstract The intrinsic permeability is a crucial parameter to characterise and quantify fluid flow through porous media. However, this typically uncertain, even if the geometry of pore structure available. In paper, we perform comparative study experimental, semi-analytical numerical methods calculate regular structure. particular, use Kozeny–Carman relation, different homogenisation approaches (3D, 2D, very thin media pseudo 2D/3D), pore-scale simulations (lattice Boltzmann method, Smoothed...

<title>Abstract</title> The Theory of Porous Media (TPM) with an embedded phase-field approach to fracture provides elegant opportunity study complex flow phenomena in fractured porous materials a unified single-domain approach. On this basis, the interactive behaviour between free and porous-media is studied using example through thin plate containing rectangular channel. By considering different boundary conditions investigating for range hydraulic conductivities, our designed reveal...

Abstract Under in-situ conditions, natural hydraulic fractures (NHF) can occur in permeable rock structures as a result of rapid decrease pore water accompanied by local pressure regression. Obviously, these phenomena are great interest for the geo-engineering community, instance framework mining technologies. Compared to induced fractures, NHF do not evolve under an increasing resulting from pressing fracking fluid underground but and pore-pressure reductions tensile stresses material. The...

Abstract Cancer is one of the most serious diseases for human beings, especially when metastases come into play. In present article, example lung-cancer in brain used to discuss basic problem cancer growth and atrophy as a result both nutrients medication. As itself soft tissue that saturated by blood interstitial fluid, biomechanical description based on Theory Porous Media enhanced results medication tests carried out in-vitro experiments cancer-cell cultures. Based theoretical...

Summary Percutaneous vertebroplasty represents a current procedure to effectively reinforce osteoporotic bone via the injection of cement. This contribution considers continuum‐mechanically based modelling approach and simulation techniques predict cement distributions within vertebra during injection. To do so, experimental investigations, imaging data image processing are combined exploited extract necessary from high‐resolution μ CT data. The multiphasic model is on Theory Porous Media,...

The outcome of vertebroplasty is hard to predict due its dependence on complex factors like bone cement and marrow rheologies. Cement leakage could occur if the procedure done incorrectly, potentially causing adverse complications. A reliable simulation patient-specific preoperatively avoid risk leakage. Therefore, aim this work was introduce a computationally feasible experimentally validated model for simulating vertebroplasty. developed multiphase continuum-mechanical macro-scale based...

Abstract The effective treatment of brain diseases, such as malignant tumours, is generally constricted by the controlled contribution therapeutic agents. Novel tumour therapy proceeds from a direct infusion drug into extra‐vascular space nervous tissue (convection‐enhanced delivery). This carried out using catheter to bypass blood‐brain barrier, which effectively separates intra‐vascular and hence hamper delivery through bloodstream. dilation target tissue, response local pressure increase,...

Abstract The human brain is a very sensitive organ. Even small changes in the cranium cavity can cause life–threatening effects. In case of medical intervention, biomechanics assist therapy decisions by simulating physical behaviour tissue, e.g., coupled interaction fluid motion and deformation tissue. context Theory Porous Media (TPM), convenient model introduced, which able to simulate essential mechanical effects porous structure material. fluid–saturated be treated as an immiscible...

Abstract The medical relevance of brain tumours is characterised by its locally invasive and destructive growth. With a high mortality rate combined with short remaining life expectancy, are identified as highly malignant. A continuum‐mechanical model for the description governing processes growth regression derived in framework Theory Porous Media (TPM). based on multi‐modal magnetic resonance imaging (MRI) scans, which represent gold standard diagnosis. multi‐phase described mathematically...

The brain is the most significant and complex organ of human beings plays a key role as control centre nervous system. At first glance, seems to be adequately protected against external influences by rigid skull. However, severe situations may arise if functionality system compromised within intracranial cavity itself. For example, life-threatening situation caused solid neoplasm, commonly known tumours. It obvious that an adequate theoretical modelling allows simulation occurring...

Abstract Due to an ageing society and unhealthy living conditions, liver diseases like non‐alcoholic fatty disease (NAFLD) or cancer will account for increasing proportion of deaths in the coming years. Using a mathematical model, underlying function‐perfusion processes both are investigated. We developed multiscale multiphase model simulation hepatic on lobular cell scale. The scale is described with partial differential equations (PDEs) based Theory Porous Media (TPM), whereas cellular...

Abstract Many plant tissues exhibit the property of frost resistance. This is mainly due to two factors: one related metabolic effects, while other stems from structural properties plants leading dehydration their cells. The present contribution aims at assessing impact ice formation on frost-resistant with a focus specifically applied Equisetum hyemale . In this particular case, there an extracellular in so-called vallecular canals and pith cavity, which leads tissue cells avoid...

Abstract Originated from a lung tumour, cancer cells can spread via the blood‐vessel system, travel to cerebrum and may pass blood‐brain barrier. The extravasation is followed by migration, formation of micrometastases. Further proliferation causes interveined metastases. A pressure‐driven infusion therapeutic solution counteracts disturbance metastases within brain. These processes are described with continuum‐mechanical model based on Theory Porous Media. Numerical applications demonstrate...

Abstract The reinforcement of porous vertebral cancellous bone by the injection cement is a practical procedure for stabilisation osteoporotic compression fractures and other weakening lesions. This contribution concerns reproduction prediction resulting bone‐cement distribution during means numerical simulation. A detailed micromechanical (locally single‐phasic) model exhibits drawback that all geometrical physical transition conditions individual parts complex aggregate have to be known....

Abstract Unfortunately, the human brain is compromised by an amount of diseases, such as strokes or cerebral tumours. In this contribution, special attention paid to constitutive modelling procedure and numerical simulation so‐called convection‐enhanced delivery process, where effective treatment malignant tumours achieved bypassing blood‐brain barrier via a direct infusion therapeutic agents into extra‐vascular space tissue using implanted catheters. The approach complex brain‐tissue...

Abstract Frost‐hardy plant tissues have developed strategies to cope with frost events without damage. This is a very interesting feature regard technical applications in construction industry, where damage still major concern. contribution introduces biologically inspired macroscopic modelling approach based on the Theory of Porous Media (TPM) describe coupled thermo‐hydro‐mechanical processes tissues. The focus is, particular, mass interactions within tissue under conditions, which are ice...

Abstract Temperatures below freezing point represent a common threat to standard construction materials, as phase change of the pore content from liquid water solid ice frequently leads damage. However, frost‐resistant plants are able withstand many cycles and thawing without any Hence, objective is identify analyse structural factors plant tissues develop model, which includes their functional behaviour. Since formed by ordered arrangements cells with prescribed shape size, they can be...

Abstract Hydraulically induced fracturing is widely used in practice for several exploitation techniques. The chosen macroscopic model combines a phase‐field approach to fractures with the Theory of Porous Media (TPM) describe dynamic hydraulic processes fully‐saturated porous materials. In this regard, solid's state damage shows diffuse transition zone between broken and unbroken domain. Rocks or soils grown nature are generally inhomogeneous material imperfections on microscale, such that...

Abstract A direct intracranial infusion of a therapeutic solution into the extra‐vascular space human brain tissue is promising medical application for effective treatment malignant tumours [1]. The advantage this method, compared to an intra‐vascular medication, targeted delivery with circumvention blood‐brain barrier (BBB), which prohibits passing macro‐molecules across vascular walls parenchyma. prediction resulting therapeutical distribution by numerical simulation challenging, since...