Subjectsfractional differential equations (2)Abaqus (1)Affine photometric warping model (1)ageing (1)agents based modelling (1)aging (1)Augmented Reality (AR) (1)Biochar (1)boundary value problems (1)Cardiovascular disease (1)View MoreAuthorsFord, Neville J. (5)Lawrence, Jonathan (4)Mc Auley, Mark T. (4)Waugh, David G. (4)Lumb, Patricia M. (2)Mooney, Kathleen M. (2)Morgado, Maria L. (2)Southall, Helen (2)Yan, Yubin (2)Ansolia, Preeti (1)View MoreTypes
Numerical solutions to the solution of some fractional differential equations
Simpson, A. Charles (Lea Press, 2002)
The role of Mathematical Modelling in understanding Aging
Mc Auley, Mark T.; Morgan, Amy; Mooney, Kathleen M. (CRC Press, 2017-10-25)
Mathematical models have played key roles in developing our understanding of aging. The first pioneering mathematical models evaluated aging from an evolutionary perspective, generating meaningful insights into why aging occurs and laid the foundations for our current understanding of aging. More recently mathematical models have been used to gain a deeper understanding of the intracellular mechanisms associated with intrinsic aging. This chapter will outline what mathematical modelling is, and the advantages it has over more conventional approaches used in biogerontology. The steps involved in assembling a model will also be described and the leading theoretical frameworks underpinning them will be outlined. Moreover, we discuss in detail a variety of aging focused mechanistic mathematical models which have been developed in recent years. The chapter concludes by challenging the community to develop a unified mechanistic mathematical model which can be used to examine aging in a more integrated fashion.
Aging and Cholesterol Metabolism
Mc Auley, Mark T. (Springer, 2019-07-30)
The role cholesterol metabolism has to play in health span is clear, and monitoring the parameters of cholesterol metabolism is key to aging successfully. The aim of this chapter is to provide a brief overview of the mechanisms which regulate cholesterol in the body, secondly to discuss how aging effects cholesterol metabolism, and thirdly to unveil how systems biology is leading to an improved understanding of the intersection between aging and the dysregulation of cholesterol metabolism.
Nonpolynomial approximation of solutions to delay fractional differential equations
Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda S. (University of Oviedo, 2013)
Numerical approaches to delay equations with small solutions
Ford, Neville J.; Lumb, Patricia M. (Lea Press, 2002)
This book chapter discusses the use of numerical schemes to find whether dalay differential equations have small solutions. Two questions - can the onset of small solutions be predicted for a wider range of delay differential equations in a similar way and how should one chose the appropriate numerical method for the investigation - are discussed.
Promises and Challenges of Growing Microalgae in Wastewater
Osundeko, Olumayowa; Ansolia, Preeti; Kumar Gupta, Sanjay; Bag, Pushan; Bajhaiya, Amit K. (Springer, 2019-01-22)
Microalgae have been theoretically described as a sustainable feedstock for biofuel production. However, there are still some concerns and obstacles that need to be overcome in order to translate the theoretical promise into commercial and economic success. These obstacles include a high requirement for nutrients and sustainable water source and the identification of affordable cultivation conditions. It has been suggested that growing microalgae in wastewater can potentially offset some of these obstacles. Microalgae can perform a dual role for remediation of nutrient pollutants and biomass production when grown in wastewater. However, there are huge challenges to overcome before this route can be exploited in an economically and environmentally sustainable manner. In the present chapter, the potentials and challenges of growing microalgae in wastewater and its future implications are discussed in detail.
Laser surface modification of polymeric materials for microbiological applications
Gillett, Alice R.; Waugh, David G.; Lawrence, Jonathan (Elsevier, 2016-04-15)
Computational systems biology for aging research
Mc Auley, Mark T.; Mooney, Kathleen M. (Karger, 2015)
Computational modelling is a key component of systems biology and integrates with the other techniques discussed thus far in this book by utilizing a myriad of data that are being generated to quantitatively represent and simulate biological systems. This chapter will describe what computational modelling involves; the rationale for using it, and the appropriateness of modelling for investigating the aging process. How a model is assembled and the different theoretical frameworks that can be used to build a model are also discussed. In addition, the chapter will describe several models which demonstrate the effectiveness of each computational approach for investigating the constituents of a healthy aging trajectory. Specifically, a number of models will be showcased which focus on the complex age-related disorders associated with unhealthy aging. To conclude, we discuss the future applications of computational systems modelling to aging research.
A high order numerical method for solving nonlinear fractional differential equation with non-uniform meshes
Fan, Lili; Yan, Yubin (Springer Link, 2019-01-18)
We introduce a high-order numerical method for solving nonlinear fractional differential equation with non-uniform meshes. We first transform the fractional nonlinear differential equation into the equivalent Volterra integral equation. Then we approximate the integral by using the quadratic interpolation polynomials. On the first subinterval $[t_{0}, t_{1}]$, we approximate the integral with the quadratic interpolation polynomials defined on the nodes $t_{0}, t_{1}, t_{2}$ and in the other subinterval $[t_{j}, t_{j+1}], j=1, 2, \dots N-1$, we approximate the integral with the quadratic interpolation polynomials defined on the nodes $t_{j-1}, t_{j}, t_{j+1}$. A high-order numerical method is obtained. Then we apply this numerical method with the non-uniform meshes with the step size $\tau_{j}= t_{j+1}- t_{j}= (j+1) \mu$ where $\mu= \frac{2T}{N (N+1)}$. Numerical results show that this method with the non-uniform meshes has the higher convergence order than the standard numerical methods obtained by using the rectangle and the trapzoid rules with the same non-uniform meshes.
The Interplay Between Cholesterol Metabolism and Intrinsic Ageing
Mc Auley, Mark T. (SpringerLink, 2018-12-31)
The last few decades have witnessed remarkable progress in our understanding of ageing. From an evolutionary standpoint it is generally accepted that ageing is a non-adaptive process which is underscored by a decrease in the force of natural selection with time. From a mechanistic perspective ageing is characterized by a wide variety of cellular mechanisms, including processes such as cellular senescence, telomere attrition, oxidative damage, molecular chaperone activity, and the regulation of biochemical pathways by sirtuins. These biological findings have been accompanied by an unrelenting rise in both life expectancy and the number of older people globally. However, despite age being recognized demographically as a risk factor for healthspan, the processes associated with ageing are routinely overlooked in disease mechanisms. Thus, a central goal of biogerontology is to understand how diseases such as cardiovascular disease (CVD) are shaped by ageing. This challenge cannot be ignored because CVD is the main cause of morbidity in older people. A worthwhile way to examine how ageing intersects with CVD is to consider the effects ageing has on cholesterol metabolism, because dysregualted cholesterol metabolism is the key factor which underpins the pathology of CVD. The aim of this chapter is to outline a hypothesis which accounts for how ageing intersects with intracellular cholesterol metabolism. Moreover, we discuss the implications of this relationship for the onset of disease in the 'oldest old' (individuals ≥85 years of age). We conclude the chapter by discussing the important role mathematical modelling has to play in improving our understanding of cholesterol metabolism and ageing.