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Angiogenesis is the formation of new blood vessels from pre-existing ones in response to chemical signals secreted by, for example, a wound or a tumour. In this paper, we propose a mesoscopic lattice-based model of angiogenesis, in which…

Tissues and Organs · Quantitative Biology 2016-03-02 Fabian Spill , Pilar Guerrero , Tomas Alarcon , Philip K. Maini , Helen M. Byrne

Reentrant waves propagating in a ring or annulus of excitable media model is the basic mechanism underlying a major class of irregular cardiac rhythms known as anatomical reentry. Such reentrant waves are terminated by rapid electrical…

Chaotic Dynamics · Physics 2009-11-07 Sitabhra Sinha , David J. Christini

Rhythmogenesis, which is critical for many biological functions, involves a transition to coherent activity through cell-cell communication. In the absence of centralized coordination by specialized cells (pacemakers), competing oscillating…

Adaptation and Self-Organizing Systems · Physics 2019-12-17 Ria Ghosh , Pavithraa Seenivasan , Shakti N. Menon , S. Sridhar , Nicolas B. Garnier , Alain Pumir , Sitabhra Sinha

We deal with the photoacoustic imaging modality using dielectric nanoparticles as contrast agents. Exciting the heterogeneous tissue, localized in a bounded domain $\Omega$, with an electromagnetic wave, at a given incident frequency,…

Analysis of PDEs · Mathematics 2020-03-09 Ahcene Ghandriche , Mourad Sini

We realize a nondegenerate parametric amplifier in an ultrahigh $Q$ mechanical membrane resonator and demonstrate two-mode thermomechanical noise squeezing. Our measurements are accurately described by a two-mode model that attributes this…

Quantum Physics · Physics 2015-07-17 Y. S. Patil , S. Chakram , L. Chang , M. Vengalattore

We develop a perturbative approach for calculating, within the quasistatic approximation, the shift of surface resonances in response to a deformation of a dielectric volume. Our strategy is based on the conversion of the homogeneous system…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Daniel Grieser , Hannes Uecker , Svend-Age Biehs , Oliver Huth , Felix Rüting , Martin Holthaus

Reentry around non-conducting ventricular scar tissue, which often causes lethal arrhythmias, is typically treated by rapid stimulation from an implantable defibrillator. However, the mechanisms of termination (success and failure) are…

Chaotic Dynamics · Physics 2007-05-23 Sitabhra Sinha , David J. Christini

We provide a rather simple proof of a homogenization result for the bidomain model of cardiac electrophysiology. Departing from a microscopic cellular model, we apply the theory of two-scale convergence to derive the bidomain model. To…

Analysis of PDEs · Mathematics 2018-11-20 Erik Grandelius , Kenneth H. Karlsen

It has recently been observed that the occurrence of sudden cardiac death has a close statistical relationship with the time of day, viz., ventricular fibrillation is most likely to occur between 12 am-6 am, with 6 pm-12 am being the next…

Tissues and Organs · Quantitative Biology 2016-09-30 Pavithraa Seenivasan , Shakti N. Menon , S. Sridhar , Sitabhra Sinha

In this work, a novel approach for the detection and localisation of nonlinear guided waves often associated with the presence of damage in structural components is proposed. The method is active and consists of a piezoelectric transducer…

Applied Physics · Physics 2024-06-26 Paweł Kudela , Maciej Radzienski , Marco Miniaci , Piotr Fiborek , Wieslaw Ostachowicz

Ultrasound is increasingly being used to modulate the properties of biological membranes for applications in drug delivery and neuromodulation. While various studies have investigated the mechanical aspect of the interaction such as…

Soft Condensed Matter · Physics 2018-11-19 Shamit Shrivastava , Robin O. Cleveland , Matthias F. Schneider

Modeling and simulating how oxygen supply shapes neuronal excitability is crucial for advancing the understanding of brain function in pathological scenarios, such as ischemia. This condition is caused by a reduced blood supply, leading to…

Numerical Analysis · Mathematics 2026-03-19 Francesco Daniele , Caterina B. Leimer Saglio , Stefano Pagani , Paola F. Antonietti

Angiogenesis is the complex process by which new blood vessels develop from an existing vasculature in order to supply nutrients and/or metabolites to tissues, playing a fundamental role in many physiological and pathological conditions…

Tissues and Organs · Quantitative Biology 2019-01-30 Horacio Lopez-Menendez , Joseph D'Alessandro

In the field of phononics, periodic patterning controls vibrations and thereby the flow of heat and sound in matter. Bandgaps arising in such phononic crystals realize low-dissipation vibrational modes and enable applications towards…

Mesoscale and Nanoscale Physics · Physics 2021-02-26 Jan N. Kirchhof , Kristina Weinel , Sebastian Heeg , Victor Deinhart , Sviatoslav Kovalchuk , Katja Hoeflich , Kirill I. Bolotin

Spatial variations in the electrical properties of cardiac tissue can occur because of cardiac diseases. We introduce such gradients into mathematical models for cardiac tissue and then study, by extensive numerical simulations, their…

Biological Physics · Physics 2018-07-13 Soling Zimik , Rupamanjari Majumder , Rahul Pandit

We give an explicit formula for the membrane potential of cells in terms of the intracellular and extracellular ionic concentrations, and derive equations for the ionic currents that flow through channels, exchangers and electrogenic pumps.…

Biological Physics · Physics 2007-05-23 L. P. Endresen , K. Hall , J. S. Hoye , J. Myrheim

Patients at high risk for sudden death often exhibit complex heart rhythms in which abnormal heartbeats are interspersed with normal heartbeats. We analyze such a complex rhythm in a single patient over a 12-hour period and show that the…

We predict that illumination by a plane electromagnetic wave of optically resonant membranes, such as graphene or monolayers of transition metal dichalcogenides, directly affects their mechanical tension. The induced optomechanical tension…

Mesoscale and Nanoscale Physics · Physics 2019-07-04 I. D. Avdeev , A. N. Poddubny , A. V. Poshakinskiy

The sinoatrial-node (SAN) is a complex heterogeneous tissue that generates a stable rhythm in healthy hearts, yet a general mechanistic explanation for when and how this tissue remains stable is lacking. Although computational and…

Cell Behavior · Quantitative Biology 2018-09-14 Cheng Ly , Seth H. Weinberg

The propagation of intense acoustic waves in a one-dimensional phononic crystal is studied. The medium consists in a structured fluid, formed by a periodic array of fluid layers with alternating linear acoustic properties and quadratic…

Pattern Formation and Solitons · Physics 2016-10-18 Noé Jiménez , Ahmed Mehrem , Rubén Picó , Lluís M. García-Raffi , Víctor J. Sánchez-Morcillo