scholarly journals Modelling cell guidance and curvature control in evolving biological tissues

2020 ◽  
Author(s):  
Solene G.D. Hegarty-Cremer ◽  
Matthew J. Simpson ◽  
Thomas L. Andersen ◽  
Pascal R. Buenzli
Keyword(s):  
Mathematical Model ◽  
Moving Boundary ◽  
Particle Method ◽  
Biological Tissues ◽  
Tissue Growth ◽  
Tissue Properties ◽  
Front Tracking Method ◽  
Cell Guidance ◽  
Cell Motion ◽  
Curvature Control

AbstractTissue geometry is an important influence on the evolution of many biological tissues. The local curvature of an evolving tissue induces tissue crowding or spreading, which leads to differential tissue growth rates, and to changes in cellular tension, which can influence cell behaviour. Here, we investigate how directed cell motion interacts with curvature control in evolving biological tissues. Directed cell motion is involved in the generation of angled tissue growth and anisotropic tissue material properties, such as tissue fibre orientation. We develop a new cell-based mathematical model of tissue growth that includes both curvature control and cell guidance mechanisms to investigate their interplay. The model is based on conservation principles applied to the density of tissue synthesising cells at or near the tissue’s moving boundary. The resulting mathematical model is a partial differential equation for cell density on a moving boundary, which is solved numerically using a hybrid front-tracking method called the cell-based particle method. The inclusion of directed cell motion allows us to model new types of biological growth, where tangential cell motion is important for the evolution of the interface, or for the generation of anisotropic tissue properties. We illustrate such situations by applying the model to simulate both the resorption and infilling components of the bone remodelling process, and provide user-friendly MATLAB code to implement the algorithms.

scholarly journals Modelling cell guidance and curvature control in evolving biological tissues

2021 ◽  
pp. 110658
Author(s):  
Solene G.D. Hegarty-Cremer ◽  
Matthew J. Simpson ◽  
Thomas L. Andersen ◽  
Pascal R. Buenzli
Keyword(s):  
Biological Tissues ◽  
Cell Guidance ◽  
Curvature Control

A mathematical model for heterogeneous reactions with a moving boundary

AIChE Journal ◽  
1989 ◽  
Vol 35 (4) ◽  
pp. 625-634 ◽  
Author(s):  
Kareem I. Batarseh ◽  
Glenn P. Swaney ◽  
Alfred H. Stiller
Keyword(s):  
Mathematical Model ◽  
Moving Boundary ◽  
Heterogeneous Reactions

Bioprinted Nanoparticles for Tissue Engineering Applications

2009 ◽  
Author(s):  
Kivilcim Buyukhatipoglu ◽  
Robert Chang ◽  
Wei Sun ◽  
Alisa Morss Clyne
Keyword(s):  
Tissue Engineering ◽  
Tissue Growth ◽  
Bioactive Components ◽  
Engineering Applications ◽  
Tissue Properties ◽  
Native Tissue ◽  
3D Architecture

Tissue engineering may require precise patterning of cells and bioactive components to recreate the complex, 3D architecture of native tissue. However, it is difficult to image and track cells and bioactive factors once they are incorporated into the tissue engineered construct. These bioactive factors and cells may also need to be moved during tissue growth in vitro or after implantation in vivo to achieve the desired tissue properties, or they may need to be removed entirely prior to implantation for biosafety concerns.

scholarly journals The Role of Cell Motility in Metastatic Cell Dominance Phenomenon: Analysis by a Mathematical Model

2000 ◽  
Vol 3 (1) ◽  
pp. 63-77 ◽  
Author(s):  
A. V. Kolobov ◽  
A. A. Polezhaev ◽  
G. I. Solyanik
Keyword(s):  
Mathematical Model ◽  
Cell Motility ◽  
Threshold Value ◽  
Experimental Investigations ◽  
Metastatic Cell ◽  
Metastatic Cells ◽  
Motile Cells ◽  
Cell Subpopulations ◽  
Cell Motion ◽  
Slow Growing

Metastasis is the outcome of several selective sequential steps where one of the first and necessary steps is the progressive overgrowth or dominance of a small number of metastatic cells in a tumour. In spite of numerous experimental investigations concerning the growth advantage of metastatic cells, the mechanisms resulting in their dominance are still unknown. Metastatic cell overgrowth occurs even if doubling time of the metastatic subpopulation is shorter than that of all others subpopulations in a heterogeneous tumour. In order to examine the hypothesis that under conditions of competition of cell subpopulations for common substrata cell motility of the slow-growing subpopulation can result in its dominance in a heterogeneous tumour, a mathematical model of heterogeneous tumour growth is suggested. The model describes two cell subpopulations which can grow with different rates and transform into the resting state depending on the concentration of the substrate consumed by both subpopulations. The slow-growing subpopulation is assumed to be motile. In numerical simulations it is shown that this subpopulation is able to overgrow the other one. The dominance phenomenon (resulting from random cell motion) depends on the motility coefficient in a threshold manner: in a heterogeneous tumour the slow-dividing motile subpopulation is able to overgrow its non-motile counterparts if its motility coefficient exceeds a certain threshold value. Computations demonstrate independence of the motile cells overgrowth from the initial tumour composition.

SIMULATION OF SINGLE CHANNEL BIOLOGICAL TISSUE SPECTROSCOPY USING COMSOL MULTIPHYSICS

2015 ◽  
Vol 77 (28) ◽  
Author(s):  
Azmi Abou Basaif ◽  
Nashrul Fazli Mohd Nasir ◽  
Zulkarnay Zakaria ◽  
Ibrahim Balkhis ◽  
Shazwani Sarkawi ◽  
...  
Keyword(s):  
Magnetic Induction ◽  
Biological Tissue ◽  
Single Channel ◽  
Medical Condition ◽  
Biological Tissues ◽  
Comsol Multiphysics ◽  
Accurate Information ◽  
Tissue Properties ◽  
Biological Soft Tissue

The enhanced ability to detect accurate location and measure the depth of a   metal inside a biological tissue is very useful in the assessment of medical condition and treatment. This manuscript proposed a solution via the measurement of the tissue properties using magnetic induction spectroscopy (MIS) method to describe the characterization of biological soft tissue. The objective of this study is to explore the viability of locating embedded metal inside a biological tissue by measuring the differences the biological tissue electrical properties using principle of Magnetic Induction Spectroscopy (MIS). Simulation is done using COMSOL Multiphysics software for accurate information on the involved parameters for both metal and biological tissues. Simulation has confirmed that MIS capable of detecting and locate embedded metal inside a biological tissue.

scholarly journals Change of photosensitizer fluorescence at its diffusion in viscous liquid flow

2016 ◽  
Vol 09 (02) ◽  
pp. 1650005 ◽  
Author(s):  
Valeriya S. Maryakhina ◽  
Vyacheslav V. Gun’kov
Keyword(s):  
Mathematical Model ◽  
Viscous Liquid ◽  
Liquid Flow ◽  
Fluorescence Spectra ◽  
Inflection Point ◽  
Biological Tissues ◽  
Transparency Window ◽  
Biological Liquid ◽  
The Mathematical Model

In this paper, the mathematical model of distribution of the injected compound in biological liquid flow has been described. It is considered that biological liquid contains a few phases such as water, peptides and cells. The injected compound (for example, photosensitizer) can interact with peptides and cells. At the time, viscosity of the biological liquid depends on pathology present in organism. The obtained distribution of the compound connects on changes of its fluorescence spectra which are registered during fluorescent diagnostics of tumors. It is obtained that the curves do not have monotonic nature. There is a sharp curves decline in the first few seconds after injection. Intensivity of curves rises after decreasing. It is especially pronounced for wavelength 590[Formula: see text]nm and 580[Formula: see text]nm (near the “transparency window” of biological tissues). Time of inflection point shifts from 8.4[Formula: see text]s to 6.9[Formula: see text]s for longer wavelength. However, difference between curves is little for different viscosity means of the biological liquid. Thus, additional pathology present in organism does not impact to the results of in vivo biomedical investigations.

scholarly journals Numerical simulation of changes in the electric properties of biological tissues under local heating by laser radiation

2021 ◽  
Vol 2090 (1) ◽  
pp. 012049
Author(s):  
N V Kovalenko ◽  
A V Smirnov ◽  
O A Ryabushkin
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Laser Radiation ◽  
Optical Radiation ◽  
Local Heating ◽  
Biological Tissues ◽  
Electric Properties ◽  
Reliable Tool ◽  
The Mathematical Model

Abstract The mathematical model that describes the local heating of biological tissues by optical radiation is introduced. Changes of the electric properties of biological tissues in such process can be used as a reliable tool for analyzing heating and damage degrees of tissues.

scholarly journals Dynamics of intraocular temperature during local hypothermia (experimental study and mathematical modeling)

2019 ◽  
pp. 383-388
Author(s):  
Lukyan Anatychuk ◽  
Roman Kobyliansky ◽  
Nataliya Pasyechnikova ◽  
Volodymyr Naumenko ◽  
Oleg Zadorozhnyy ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Biological Tissues ◽  
Comsol Multiphysics ◽  
Rabbit Eye ◽  
Local Contact ◽  
Group 2 ◽  
Local Hypothermia ◽  
Group 1

Therapeutic hypothermia currently is successfully in various fields of medicine to protect biological tissues from ischemia. However the issue of changes in intraocular temperature under hypothermia remains poorly understood. Purpose. To study the dynamics of intraocular temperature in conditions of local hypothermia and on the basis of the obtained data to develop a mathematical model of thermophysical processes in the rabbit eye. Materials and methods. An in vivo experiment was performed on 10 rabbits (20 eyes). In group 1 (5 rabbits, 10 eyes), epibulbar and intraocular temperature was measured after local contact hypothermia through closed eyelids, in group 2 (5 rabbits, 10 eyes) after local contact hypothermia directly through the cornea. ока безпосередньо через рогівку. Для гіпотермії застосовувався гелевий акумулятор холоду температурою -10 °С. Для вимірювання температури в різних відділах ока застосовувався термоелектричний пристрій, розроблений Інститутом термоелектрики НАН і МОН України та ДУ «Інститут очних хвороб і тканинної терапії ім. В. П.Філатова НАМН України». Для розробки математичної моделі теплофізичних процесів в оці кролика використано пакет прикладних програм COMSOL Multiphysics. Результати. Температура склоподібного тіла в 1-й і 2-й групі тварин знизилася в порівнянні з вихідними даними відповідно на 2,8 °С і 5,4 °С. Температурний градієнт між зовнішньою поверхнею рогівки і середньою частиною склоподібного тіла ока кролика в 1-й групі становив 7,1 °С, у 2-й групі – 9,2 °С. На підставі отриманих експериментальних даних було розроблено схематичну, математичну та комп’ютерну моделі ока кролика з урахуванням його теплофізичних особливостей, кровообігу, процесів метаболізму і теплообміну. Висновки. У разі локальної контактної гіпотермії очей кролика відбувається зниження епібульбарної температури і температури внутрішньоочних середовищ, як під час охолодження безпосередньо зовнішньої поверхні рогівки, так і під час впливу холоду через закриті повіки. Ключові слова: внутрішньоочна температура, локальна гіпотермія, око кролика, математична модель ока. Для цитування: Анатичук ЛІ, Пасєчнікова НВ, Науменко ВО, Задорожний ОС, Назаретян РЕ, Кобилянський РР, Верешко ЄЮ. Динаміка внутрішньоочної температури в умовах локальної гіпотермії (експериментальне дослідження та математичне моделювання). Журнал Національної академії медичних наук України. 2019;25(4):383–8

scholarly journals Mathematical Model of Muscle Wasting in Cancer Cachexia

2020 ◽  
Author(s):  
Suzan Farhang-Sardroodi ◽  
Kathleen P. Wilkie
Keyword(s):  
Mathematical Model ◽  
Satellite Cell ◽  
Muscle Tissue ◽  
Cancer Cachexia ◽  
Muscle Wasting ◽  
Tissue Growth ◽  
Colon 26 ◽  
Treatment Conditions ◽  
Risk Of Mortality ◽  
Pharmacological Blockade

Cancer cachexia is a debilitating condition characterized by an extreme loss of skeletal muscle mass which negatively impacts patient’s quality of life, reduces their ability to sustain anticancer therapies, and increases the risk of mortality. Recent discoveries have identified the myostatin/activin-ActRIIB pathway as critical to muscle wasting by inducing satellite cell quiescence and increasing muscle-specific ubiquitin ligases responsible for atrophy. Remarkably, pharmacological blockade of the ActRIIB pathway has shown to reverse muscle wasting and prolong the survival time of tumor-bearing animals. To explore the implications of this signaling pathway and potential therapeutic targets in cachexia, we construct a novel mathematical model of muscle tissue subjected to tumor-derived cachexic factors. The model formulation tracks the intercellular interactions between cancer, satellite cell, and muscle cell populations. The model is parameterized by fitting to colon-26 mouse model data, and analysis provides insight into tissue growth in healthy, cancerous, and post-treatment conditions. Model predictions suggest that cachexia fundamentally alters muscle tissue health, as measured by the stem cell ratio, and this is only partially recovered by anti-cachexia treatment. Our mathematical findings suggest that the activation and proliferation of satellite cells, after blocking the myostatin/activin B pathway, is required to partially recover cancer-induced muscle loss.

Mechanical design in arteries

1999 ◽  
Vol 202 (23) ◽  
pp. 3305-3313 ◽  
Author(s):  
R.E. Shadwick
Keyword(s):  
Linear Elasticity ◽  
Mechanical Design ◽  
Strain Curve ◽  
Vascular Wall ◽  
Biological Tissues ◽  
Artery Wall ◽  
Tissue Properties ◽  
Non Linear ◽  
Arterial Structure ◽  
Linear Behaviour

The most important mechanical property of the artery wall is its non-linear elasticity. Over the last century, this has been well-documented in vessels in many animals, from humans to lobsters. Arteries must be distensible to provide capacitance and pulse-smoothing in the circulation, but they must also be stable to inflation over a range of pressure. These mechanical requirements are met by strain-dependent increases in the elastic modulus of the vascular wall, manifest by a J-shaped stress-strain curve, as typically exhibited by other soft biological tissues. All vertebrates and invertebrates with closed circulatory systems have arteries with this non-linear behaviour, but specific tissue properties vary to give correct function for the physiological pressure range of each species. In all cases, the non-linear elasticity is a product of the parallel arrangement of rubbery and stiff connective tissue elements in the artery wall, and differences in composition and tissue architecture can account for the observed variations in mechanical properties. This phenomenon is most pronounced in large whales, in which very high compliance in the aortic arch and exceptionally low compliance in the descending aorta occur, and is correlated with specific modifications in the arterial structure.

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