| Literature DB >> 26225243 |
J-P Boissel1, C Auffray2, D Noble3, L Hood4, F-H Boissel1.
Abstract
While there is widespread consensus on the need both to change the prevailing research and development (R&D) paradigm and provide the community with an efficient way to personalize medicine, ecosystem stakeholders grapple with divergent conceptions about which quantitative approach should be preferred. The primary purpose of this position paper is to contrast these approaches. The second objective is to introduce a framework to bridge simulation outputs and patient outcomes, thus empowering the implementation of systems medicine.Entities:
Year: 2015 PMID: 26225243 PMCID: PMC4394618 DOI: 10.1002/psp4.26
Source DB: PubMed Journal: CPT Pharmacometrics Syst Pharmacol ISSN: 2163-8306
A mechanistic understanding of myocardial infarction from pathways to clinical events
| Diseases span over multiple layers of complex mechanisms, from impaired signaling pathways to clinical events. Myocardial infarction is a typical illustration. |
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| • From arterial wall cell dysfunction to sudden death, a large number of genes, molecular species, cell types, endocrine and paracrine, as well as neurological regulations, are involved, with feedback loops and redundancies. |
| • Atherosclerosis is a disease located at discrete sites of the arterial tree. To this date, the triggering event is not fully established. A recent theory defines the entry of monocytes into the arterial wall as the primary cause. But this yields little explanation as to why these monocytes pass through the endothelium in the first place. Nevertheless, it has been established that atherogenesis involves several molecular species and cells: circulating lipoproteins and their oxidized derivatives, endothelial cells, circulating monocytes, macrophages, smooth muscle cells, and extracellular proteins (elastin, collagens, enzymes such as metalloproteases). |
| • Biological phenomena as diverse as inflammation, cell migration, free radical production, ageing, etc., are also involved. Plaque anatomy and arterial wall structure, as well as phenotypes and proportions of the aforementioned components, are playing a role in the ultimate event, the plaque rupture. |
| • Critical to the rupture process are fatigue (arterial wall, plaque fibrous cap) and stress-related mechanical phenomena (shear, pulse). Plaque rupture eventually enables interactions between plaque and blood components, leading to the occurrence of a clot. The clot may obstruct the arterial lumen leading to a global ischemia of the downstream tissues, migrate to block a smaller artery or stay in its initial location and end up being incorporated in the plaque after its fibrous organization. |
| • A coronary plaque rupture can thus result in a variety of outcomes: sudden death, acute coronary infarction, unstable angina, silent infarction, or increased coronary stenosis. When the artery lumen is narrow enough, effort angina or heart failure can occur. Heart failure can also be caused by healed myocardial infarction(s). While atherosclerotic plaque takes decades to build up, its rupture and ischemic consequences develop over a short timespan. |
Figure 1The Effect Model law visual illustration.
Models
| Current thoughts on the mechanism of angina pectoris attack assume that the thoracic pain and simultaneous specific EKG changes are due to an imbalance between O2 needs of myocardium and supply by the coronary arteries caused by a reduction of the maximum blood flow. Maximum coronary flow is a function, among others, of the surface of the coronary artery lumen that is reduced when an atherosclerotic plaque induces a coronary stenosis. Angina attack occurs when coronary reserve goes down below a threshold. Further, such a plaque can rupture, leading to a clot and an ischemic clinical event. |
| Angina pectoris was modeled with a series of algebraic equations that translated heart functioning as a pump, integrating factors that modify stroke volume and heart flow (Q). Heart rate is a major factor. Coronary flow was a function of heart flow and coronary stenosis (d). |
| Plaque rupture was assumed to be primarily a mechanical event: rupture occurs when the instantaneous mechanical stress (shear stress) on the plaque can no longer be afforded by its mechanical properties. The latter decrease as a result of fatigue. Fatigue is a function of cumulative systolic stress and plaque components and status, among which the most important is the lipid core. Other factors of plaque mechanical properties are: plaque cap thickness, inflammation, plaque duration, patient age and sex. Fatigue is a life-long process. The dynamic of the whole process should be accounted for (see the figure below). Several sub-models, with specific level of details and mathematical solutions were considered: fluid-structure interactions (one dimensional model, incremental boundary iteration method for the fluid-wall interaction), plaque structure, arterial wall motion (a solid model, a finite-element method) inflammation, fatigue (plaque structure is assumed to be an homogeneous metal, with average properties changing with plaque composition, of which the lipid core is a major component). All of these submodels were considered at a phenomenological level of granularity (i.e. at an upper abstraction level than the molecular one). |
| The entry in both models was the concentration of ivabradine at its site of action. It was assumed that the main activity of the drug is a reduction of heart rate through a modulation of an atrial potassium channel. The connection between orally given amount of ivabradine and concentration at the drug target site was a PK-PD model fitted to real data with NONMEM. Other models were computed with SAS and Mathematica. |
Systolic blood pressure: SBP(t) = 101.1 + 0.74*HR(t) Left ventricle contractility: S(t) = λ (S)*HR(t) Duration of diastole: DD(t) = (60/HR(t))0.5 *[(60/HR(t))0.5 –k] Left ventricular volume: DV(t) = (Vr-C* PV) exp(DD(t)/C* R) – C* PV From the Starling law, the stroke volume is: SV(t) = S(t)*(DV(t)/SBP(t)) Heart flow: Q(t) = HR(t)*SV(t) Coronary flow: QCOR(t) = α*Q(t) Perfusion pressure through the coronary stenosis: PP(t) = (1.8*QCOR(t)/60*d4) + 6.1*(QCOR(t)2/3600*d4) |
Virtual populations
| Questions 1 to 4 |
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| A database of 1,706 case records of subjects without angina pectoris with a 24-hour recording of heart and blood pressure during normal life. To each case record, values of pharmacokinetic parameters, degree of coronary lumen stenosis, bottom value for coronary reserve, were randomly allocated. |
| A 1,000 virtual patient population was designed. Patient descriptor values were randomly drawn from distributions of patient age and sex, heart rate without treatment, instantaneous shear stress, lipid core volume, fibrous cap thickness, high sensitive CRP. All of these descriptors have corresponding model parameters. In addition, fatigue was computed for each patient as a result of plaque age. |
Validation: a few examples
| Validation of the angina pectoris model | |
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| Solid line: real 24-hour heart recording in one patient. Dotted line: simulated 24-hour heart rate recording in the same patient with 40 mg ivabradine bid [from figure 4 in ref. (37)]. | |
| Does-effect relations predicted in-silico (solid lines) versus observed results (bars) produced ex-post. | |
| Validation of the simulated coronary velocity | |
| Real-life coronary blood velocity profiles | |
| Simulated coronary velocity profiles | |
| Predicted efficacy compared to efficacy observed in clinical trial. | |
| In the Beautiful randomized trial, in patients with heart rate >70 bpm at baseline, the ratio of rates of admission to hospital for fatal or nonfatal myocardial infraction in patients with ivabradine and patients on placebo was 0.64 after a median follow-up of 19 months. The simulated ratio was 0.66. | |
Figure 2Results.
Problem and questions
| Problem | |
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| Heart rate is a causative cofactor of several vital physiological phenomena: average cardiac output, arterial beat, average myocardial energy consumption. Some diseases or clinical events are mechanistically dependent of these phenomena. Thus, one can question whether modulation of heart rate can alter the course of these diseases. | |
| Leading hypothesis | |
| Funny channel (If) is highly expressed in the sino-atrial node, the atrio-ventricular node, and the Purkinje fibers of conduction tissue. Through its action on the ionic exchanges during the cardiac beat, it controls the rate of spontaneous activity of sinoatrial myocytes, hence the cardiac rate. Ivabradine is a drug that inhibits If activity. Thus it reduces heart rate with, as far as it was known at the time, little or no other activity. | |
| Questions | |
| Q1 | Can ivabradine, a heart rate moderator, prevent effort angina pectoris attack? |
| Q2 | If yes, is once a day better than b.i.d.? |
| Q3 | If yes, what is the dose-effect relation? |
| Q4 | What is the expected number of prevented attacks per day? |
| Q5 | Can heart rate reduction (with, e.g., ivabradine) prevent atherosclerotic plaque rupture? |
| Q6 | What would be the number of prevented plaque ruptures? |
| Q7 | What are the factors influencing the number of prevented plaque ruptures? |
| Q8 | How these factors modify the number of prevented plaque ruptures? |