A mathematical model for the receptor mediated cellular regulation of the low density lipoprotein metabolism

Computationally Modelling Cholesterol Metabolism and Atherosclerosis

Cardiovascular disease (CVD) is the leading cause of death globally. The underlying pathological driver of CVD is atherosclerosis. The primary risk factor for atherosclerosis is elevated low-density lipoprotein cholesterol (LDL-C). Dysregulation of cholesterol metabolism is synonymous with a rise in LDL-C. Due to the complexity of cholesterol metabolism and atherosclerosis mathematical models are routinely used to explore their non-trivial dynamics. Mathematical modelling has generated a wealth of useful biological insights, which have deepened our understanding of these processes. To date however, no model has been developed which fully captures how whole-body cholesterol metabolism intersects with atherosclerosis. The main reason for this is one of scale. Whole body cholesterol metabolism is defined by macroscale physiological processes, while atherosclerosis operates mainly at a microscale. This work describes how a model of cholesterol metabolism was combined with a model of atherosclerotic plaque formation. This new model is capable of reproducing the output from its parent models. Using the new model, we demonstrate how this system can be utilized to identify interventions that lower LDL-C and abrogate plaque formation.

Modeling cholesterol metabolism and atherosclerosis

Atherosclerotic cardiovascular disease (ASCVD) is the leading cause of morbidity and mortality among Western populations. Many risk factors have been identified for ASCVD; however, elevated low-density lipoprotein cholesterol (LDL-C) remains the gold standard. Cholesterol metabolism at the cellular and whole-body level is maintained by an array of interacting components. These regulatory mechanisms have complex behavior. Likewise, the mechanisms which underpin atherogenesis are nontrivial and multifaceted. To help overcome the challenge of investigating these processes mathematical modeling, which is a core constituent of the systems biology paradigm has played a pivotal role in deciphering their dynamics. In so doing models have revealed new insights about the key drivers of ASCVD. The aim of this review is fourfold; to provide an overview of cholesterol metabolism and atherosclerosis, to briefly introduce mathematical approaches used in this field, to critically discuss models of cholesterol metabolism and atherosclerosis, and to highlight areas where mathematical modeling could help to investigate in the future. This article is categorized under: Cardiovascular Diseases > Computational Models.

The significance of transient changes in trabecular bone remodeling activation

After menopause, bone turnover is increased due to an increase in the activation of bone remodeling basic multicellular units (BMUs). The importance of changes in BMU activation to bone histomorphometry data and bone volume has not received adequate attention by many skeletal researchers. Therefore, the influence of BMU activation on the above parameters was modeled by way of computer simulation, and the results were compared to data from published post-menopausal bone loss studies. Using control theory concepts, the increase in BMU activation after menopause was modeled as a zero-, first-, or underdamped (oscillatory) second-order transient BMU activation response to the step input: the decline in estrogen. A computer simulation was developed to model the influence of these three transient BMU activation responses on quantitative histological surface parameters and bone volume. The transient BMU activation responses doubled the number of active BMUs. All three types of transient BMU activation responses produced a rapid 5% decline in bone volume due to increased remodeling space. Oscillations in bone volume and histologic surface parameters over time, similar in nature to those seen in studies of ovariectomized animals, were predicted by the simulation for the oscillatory activation response examined, underdamped second order. An oscillatory BMU activation response may explain some of the transient events during menopause. The increased coherence of BMUs created by such a response may increase the likelihood of trabecular perforations. the inherent nature of an oscillatory activation response may cause its detection to be overlooked and bone remodeling data to be misinterpreted.(ABSTRACT TRUNCATED AT 250 WORDS)