Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor

Whittaker, Robert J.; Booth, Richard; Dyson, Rosemary; Bailey, Clare; Chini, L. P.; Naire, Shailesh; Payvandi, Sevil; Rong, Zimei; Woollard, Hannah; Cummings, L. J.; Waters, Sarah L.; Mawasse, Lina; Chaudhuri, Julian B.; Ellis, Marianne; Michael, Vipin; Kuiper, Nicola J.; Cartmell, Sarah H.

doi:10.1016/j.jtbi.2008.10.013

Cited by 35 publications

(27 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is crucial that lactate is eliminated from the construct before this critical concentration l * is reached. In [50], the authors estimate the concentration of lactic acid that would be harmful to the growing cells for a buffered culture medium. It is assumed that growing cells can tolerate a pH change of up to ±0.5, and titration experiments indicated that the harmful concentration of lactic acid in a buffered medium was ≈ 0.4 mol m −3 .…”

Section: Dimensional Analysismentioning

confidence: 99%

Design criteria for a printed tissue engineering construct: A mathematical homogenization approach

Shipley¹,

Jones²,

Dyson

et al. 2009

Journal of Theoretical Biology

View full text Add to dashboard Cite

Cartilage tissue repair procedures currently under development aim to create a construct in which patient-derived cells are seeded and expanded ex vivo before implantation back into the body. The key challenge is producing physiologically realistic constructs that mimic real tissue structure and function. One option with vast potential is to print strands of material in a 3D structure called a scaffold that imitates the real tissue structure; the strands are composed of gel seeded with cells and so provide a template for cartilaginous tissue growth. The scaffold is placed in the construct and pumped with nutrient-rich culture medium to supply nutrients to the cells and remove waste products, thus promoting tissue growth.In this paper we use asymptotic homogenization to determine the effective flow and transport properties of such a printed scaffold system. These properties are used to predict the distribution of nutrient/waste products through the construct, and to specify design criteria for the scaffold that will optimise the growth of functional tissue. Keywords

show abstract

Section: Dimensional Analysismentioning

confidence: 99%

Design criteria for a printed tissue engineering construct: A mathematical homogenization approach

Shipley¹,

Jones²,

Dyson

et al. 2009

Journal of Theoretical Biology

View full text Add to dashboard Cite

show abstract

“…K p is the permeability value of the porous media that is calculated in Eq. .

K_{normalp} = \frac{ɛ \cdot δ^{2}}{160}

Where δ is the pore size of the scaffold.…”

Section: Methodsmentioning

confidence: 99%

Mathematical modeling of cell growth in a 3D scaffold and validation of static and dynamic cultures

Mokhtari-Jafari

Amoabediny

Haghighipour

et al. 2016

Engineering in Life Sciences

View full text Add to dashboard Cite

Tissue engineering, an immensely important field in contemporary clinical practices, aims at the repair or replacement of damaged tissues. The mathematical model proposed herein shows the distribution and growth of cells in their characteristic time in a 3D scaffold model. This study contributes to the progress of simulation techniques in static and dynamic cultures of bone tissue. Brinkman, nutrient transport, and cell growth equations are brought together to quantify the growth behavior of cells. However, when a static culture is being studied, the Brinkman equation is eliminated. The model was validated by experimental cell culture using 3‐(4,5‐dimethylthiazol‐2‐yl)‐2,5‐diphenyltetrazolium bromide assay and scanning electron microscopy. Then, static and dynamic cultures were compared to assess the cell density and cell distribution in the scaffold. Cell counting after 21 days of cell culture showed that the number of cells increased 42‐fold in static and 53.5‐fold in dynamic cultures, which was in good agreement with our model estimations (37‐fold increase in the number of cells in static and 49‐fold increase in dynamic cultures). In conclusion, our mathematical model could predict cell distribution and growth in the scaffold.

show abstract

“…Moreover, numerical evaluation provides insight into local hydrodynamic changes in tissue constructs in order to generate quantitative anticipation of the tissue development within a bioreactor system [116]. Finally, with the aid of recently available computational tools, variables (e.g., flow fields of a particular bioreactor design [117, 118], incorporation of the mechanics of the scaffold material [119], and the sufficiency of bioreactor cultures [117, 120, 121], shear stresses and mass transfer in scaffold-containing bioreactors [118, 122]) can be estimated.…”

Section: Mathematical Modeling Of Engineering Parametersmentioning

confidence: 99%

Engineering Parameters in Bioreactor’s Design: A Critical Aspect in Tissue Engineering

Salehi

Amoabediny

Pouran

et al. 2013

BioMed Research International

View full text Add to dashboard Cite

Bioreactors are important inevitable part of any tissue engineering (TE) strategy as they aid the construction of three-dimensional functional tissues. Since the ultimate aim of a bioreactor is to create a biological product, the engineering parameters, for example, internal and external mass transfer, fluid velocity, shear stress, electrical current distribution, and so forth, are worth to be thoroughly investigated. The effects of such engineering parameters on biological cultures have been addressed in only a few preceding studies. Furthermore, it would be highly inefficient to determine the optimal engineering parameters by trial and error method. A solution is provided by emerging modeling and computational tools and by analyzing oxygen, carbon dioxide, and nutrient and metabolism waste material transports, which can simulate and predict the experimental results. Discovering the optimal engineering parameters is crucial not only to reduce the cost and time of experiments, but also to enhance efficacy and functionality of the tissue construct. This review intends to provide an inclusive package of the engineering parameters together with their calculation procedure in addition to the modeling techniques in TE bioreactors.

show abstract

Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor

Cited by 35 publications

References 39 publications

Design criteria for a printed tissue engineering construct: A mathematical homogenization approach

Design criteria for a printed tissue engineering construct: A mathematical homogenization approach

Mathematical modeling of cell growth in a 3D scaffold and validation of static and dynamic cultures

Engineering Parameters in Bioreactor’s Design: A Critical Aspect in Tissue Engineering

Contact Info

Product

Resources

About