1
|
Kimmig F, Caruel M, Chapelle D. Varying thin filament activation in the framework of the Huxley'57 model. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2022; 38:e3655. [PMID: 36210493 DOI: 10.1002/cnm.3655] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/22/2021] [Revised: 04/29/2022] [Accepted: 09/24/2022] [Indexed: 06/16/2023]
Abstract
Muscle contraction is triggered by the activation of the actin sites of the thin filament by calcium ions. It results that the thin filament activation level varies over time. Moreover, this activation process is also used as a regulation mechanism of the developed force. Our objective is to build a model of varying actin site activation level within the classical Huxley'57 two-state framework. This new model is obtained as an enhancement of a previously proposed formulation of the varying thick filament activation within the same framework. We assume that the state of an actin site depends on whether it is activated and whether it forms a cross-bridge with the associated myosin head, which results in four possible states. The transitions between the actin site states are controlled by the global actin sites activation level and the dynamics of these transitions is coupled with the attachment-detachment process. A preliminary calibration of the model with experimental twitch contraction data obtained at varying sarcomere lengths is performed.
Collapse
Affiliation(s)
- François Kimmig
- LMS, École Polytechnique, CNRS, Institut Polytechnique de Paris, Palaiseau, France
- Inria, Palaiseau, France
| | - Matthieu Caruel
- CNRS, UMR 8208, MSME, Univ Paris Est Creteil, Univ Gustave Eiffel, Créteil, France
| | - Dominique Chapelle
- LMS, École Polytechnique, CNRS, Institut Polytechnique de Paris, Palaiseau, France
- Inria, Palaiseau, France
| |
Collapse
|
2
|
Morris TA, Eldeen S, Tran RDH, Grosberg A. A comprehensive review of computational and image analysis techniques for quantitative evaluation of striated muscle tissue architecture. BIOPHYSICS REVIEWS 2022; 3:041302. [PMID: 36407035 PMCID: PMC9667907 DOI: 10.1063/5.0057434] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/20/2021] [Accepted: 10/03/2022] [Indexed: 06/16/2023]
Abstract
Unbiased evaluation of morphology is crucial to understanding development, mechanics, and pathology of striated muscle tissues. Indeed, the ability of striated muscles to contract and the strength of their contraction is dependent on their tissue-, cellular-, and cytoskeletal-level organization. Accordingly, the study of striated muscles often requires imaging and assessing aspects of their architecture at multiple different spatial scales. While an expert may be able to qualitatively appraise tissues, it is imperative to have robust, repeatable tools to quantify striated myocyte morphology and behavior that can be used to compare across different labs and experiments. There has been a recent effort to define the criteria used by experts to evaluate striated myocyte architecture. In this review, we will describe metrics that have been developed to summarize distinct aspects of striated muscle architecture in multiple different tissues, imaged with various modalities. Additionally, we will provide an overview of metrics and image processing software that needs to be developed. Importantly to any lab working on striated muscle platforms, characterization of striated myocyte morphology using the image processing pipelines discussed in this review can be used to quantitatively evaluate striated muscle tissues and contribute to a robust understanding of the development and mechanics of striated muscles.
Collapse
Affiliation(s)
| | - Sarah Eldeen
- Center for Complex Biological Systems, University of California, Irvine, California 92697-2700, USA
| | | | | |
Collapse
|
3
|
Rozzi G, Lo Muzio FP, Fassina L, Rossi S, Statello R, Sandrini C, Laricchiuta M, Faggian G, Miragoli M, Luciani GB. Right ventricular functional recovery depends on timing of pulmonary valve replacement in tetralogy of Fallot: a video kinematic study. Eur J Cardiothorac Surg 2021; 59:1329-1336. [PMID: 33547473 DOI: 10.1093/ejcts/ezab026] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/31/2020] [Revised: 11/19/2020] [Accepted: 12/07/2020] [Indexed: 11/13/2022] Open
Abstract
OBJECTIVES Indications for and timing of pulmonary valve replacement (PVR) after tetralogy of Fallot repair are controversial. Among magnetic resonance imaging indices proposed to time valve replacement, a right ventricular (RV) end-diastolic volume index greater than 160 ml/m2 is often used. Recent evidence suggests that this value may still identify patients with irreversible RV dysfunction, thus hindering recovery. Our goal was to define, using intraoperative video kinematic evaluation, whether a relationship exists between timing of PVR and early functional recovery after surgery. METHODS Between November 2016 and November 2018, a total of 12 consecutive patients aged 27.1 ± 19.1 years underwent PVR on average 22.2 ± 13.3 years after tetralogy of Fallot repair. Mean RV end-diastolic volume evident on the magnetic resonance images was 136.9 ± 35.7 ml/m2. Intraoperative cardiac kinematics were assessed by video kinematic evaluation via a high-speed camera acquiring videos at 200 fps before and after valve replacement. RESULTS Patients presenting with RV end-diastolic volume <147 ml/m2 were significantly younger (11.2 ± 5.0 vs 38.4 ± 17.0; P = 0.005) and had a shorter time interval to valve replacement (11.0 ± 5.2 vs 30.1 ± 11.3; P = 0.03). The entire population showed a moderate correlation among energy expenditure, cardiac fatigue, perimeter of contraction and preoperative RV end-diastolic volume index. Both groups showed a reduction in all kinematic parameters after PVR, but those with end-diastolic volume >147 ml/m2 showed an unpredictable outcome. CONCLUSIONS Video kinematic evaluation provides insight into intraoperative RV recovery in patients with tetralogy of Fallot undergoing PVR. Accordingly, functional recovery can be expected in patients with preoperative end-diastolic volume <147 ml/m2.
Collapse
Affiliation(s)
- Giacomo Rozzi
- Department of Surgery, Dentistry, Pediatrics and Gynecology, University of Verona, Verona, Italy.,Department of Medicine and Surgery, University of Parma, Parma, Italy.,Departement of Molecular Cardiology, Humanitas Clinical and Research Center, IRCCS, Rozzano, Italy
| | - Francesco Paolo Lo Muzio
- Department of Surgery, Dentistry, Pediatrics and Gynecology, University of Verona, Verona, Italy.,Department of Medicine and Surgery, University of Parma, Parma, Italy
| | - Lorenzo Fassina
- Department of Electrical, Computer and Biomedical Engineering, University of Pavia, Pavia, Italy
| | - Stefano Rossi
- Department of Medicine and Surgery, University of Parma, Parma, Italy
| | - Rosario Statello
- Department of Medicine and Surgery, University of Parma, Parma, Italy.,Department of Medical Sciences and Public Health, University of Cagliari, Cagliari, Italy
| | | | - Maira Laricchiuta
- Department of Surgery, Dentistry, Pediatrics and Gynecology, University of Verona, Verona, Italy
| | - Giuseppe Faggian
- Department of Surgery, Dentistry, Pediatrics and Gynecology, University of Verona, Verona, Italy
| | - Michele Miragoli
- Department of Medicine and Surgery, University of Parma, Parma, Italy.,Departement of Molecular Cardiology, Humanitas Clinical and Research Center, IRCCS, Rozzano, Italy
| | | |
Collapse
|
4
|
Kimmig F, Caruel M. Hierarchical modeling of force generation in cardiac muscle. Biomech Model Mechanobiol 2020; 19:2567-2601. [PMID: 32681201 DOI: 10.1007/s10237-020-01357-w] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2019] [Accepted: 06/10/2020] [Indexed: 11/25/2022]
Abstract
Performing physiologically relevant simulations of the beating heart in clinical context requires to develop detailed models of the microscale force generation process. These models, however, may reveal difficult to implement in practice due to their high computational costs and complex calibration. We propose a hierarchy of three interconnected muscle contraction models-from the more refined to the more simplified-that are rigorously and systematically related to each other, offering a way to select, for a specific application, the model that yields a good trade-off between physiological fidelity, computational cost and calibration complexity. The three model families are compared to the same set of experimental data to systematically assess what physiological indicators can be reproduced or not and how these indicators constrain the model parameters. Finally, we discuss the applicability of these models for heart simulation.
Collapse
Affiliation(s)
- François Kimmig
- LMS, CNRS, École polytechnique, Institut Polytechnique de Paris, Paris, France.
- Inria, Inria Saclay-Ile-de-France, Palaiseau, France.
| | | |
Collapse
|
5
|
Muir WW, Hamlin RL. Myocardial Contractility: Historical and Contemporary Considerations. Front Physiol 2020; 11:222. [PMID: 32296340 PMCID: PMC7137917 DOI: 10.3389/fphys.2020.00222] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/25/2019] [Accepted: 02/26/2020] [Indexed: 12/17/2022] Open
Abstract
The term myocardial contractility is thought to have originated more than 125 years ago and has remained and enigma ever since. Although the term is frequently used in textbooks, editorials and contemporary manuscripts its definition remains illusive often being conflated with cardiac performance or inotropy. The absence of a universally accepted definition has led to confusion, disagreement and misconceptions among physiologists, cardiologists and safety pharmacologists regarding its definition particularly in light of new discoveries regarding the load dependent kinetics of cardiac contraction and their translation to cardiac force-velocity and ventricular pressure-volume measurements. Importantly, the Starling interpretation of force development is length-dependent while contractility is length independent. Most historical definitions employ an operational approach and define cardiac contractility in terms of the hearts mechanical properties independent of loading conditions. Literally defined the term contract infers that something has become smaller, shrunk or shortened. The addition of the suffix “ility” implies the quality of this process. The discovery and clinical investigation of small molecules that bind to sarcomeric proteins independently altering force or velocity requires that a modern definition of the term myocardial contractility be developed if the term is to persist. This review reconsiders the historical and contemporary interpretations of the terms cardiac performance and inotropy and recommends a modern definition of myocardial contractility as the preload, afterload and length-independent intrinsic kinetically controlled, chemo-mechanical processes responsible for the development of force and velocity.
Collapse
Affiliation(s)
- William W Muir
- College of Veterinary Medicine, Lincoln Memorial University, Harrogate, TN, United States
| | - Robert L Hamlin
- College of Veterinary Medicine, The Ohio State University, Columbus, OH, United States
| |
Collapse
|
6
|
Rozzi G, Lo Muzio FP, Sandrini C, Rossi S, Fassina L, Faggian G, Miragoli M, Luciani GB. Real-time video kinematic evaluation of the in situ beating right ventricle after pulmonary valve replacement in patients with tetralogy of Fallot: a pilot study. Interact Cardiovasc Thorac Surg 2019; 29:625-631. [DOI: 10.1093/icvts/ivz120] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/15/2018] [Revised: 04/01/2019] [Accepted: 04/14/2019] [Indexed: 01/30/2023] Open
Abstract
Abstract
OBJECTIVES
The timing for pulmonary valve replacement (PVR) after tetralogy of Fallot repair is controversial, due to limitations in estimating right ventricular dysfunction and recovery. Intraoperative imaging could add prognostic information, but transoesophageal echocardiography is unsuitable for exploring right heart function. Right ventricular function after PVR was investigated in real time using a novel video-based contactless kinematic evaluation technology (Vi.Ki.E.), which calculates cardiac fatigue and energy consumption.
METHODS
Six consecutive patients undergoing PVR at 13.8 ± 2.6 years (range 6.9–19.8) after the repair of tetralogy of Fallot were enrolled. Mean right ventricular end-diastolic and end-systolic volume at magnetic resonance imaging were 115.6 ± 16.2 ml/m2 and 61.5 ± 14.6 ml/m2, respectively. Vi.Ki.E. uses a fast-resolution camera placed 45 cm above the open chest, recording cardiac kinematics before and after PVR. An algorithm defines cardiac parameters, such as energy, fatigue, maximum contraction velocity and tissue displacement.
RESULTS
There were no perioperative complications, with patients discharged in satisfactory clinical conditions after 7 ± 2 days (range 5–9). Vi.Ki.E. parameters describing right ventricular dysfunction decreased significantly after surgery: energy consumption by 45% [271 125 ± 9422 (mm/s)2 vs 149 202 ± 11 980 (mm/s)2, P = 0.0001], cardiac fatigue by 12% (292 671 ± 29 369 mm/s2 vs 258 755 ± 42 750 mm/s2, P = 0.01), contraction velocity by 54% (3412 ± 749 mm/s vs 1579 ± 400 mm/s, P = 0.0007) and displacement by 23% (27 ± 4 mm vs 21 ± 4 mm, P = 0.01). Patients undergoing PVR at lower end-diastolic volumes, had greater functional recovery of Vi.Ki.E. parameters.
CONCLUSIONS
Intraoperative Vi.Ki.E shows immediate recovery of right ventricular mechanics after PVR with less cardiac fatigue and energy consumption, providing novel insights that may have a prognostic relevance for functional recovery.
Collapse
Affiliation(s)
- Giacomo Rozzi
- Department of Surgery, Dentistry, Pediatrics and Gynaecology, University of Verona, Verona, Italy
- Department of Medicine and Surgery, University of Parma, Parma, Italy
| | - Francesco P Lo Muzio
- Department of Surgery, Dentistry, Pediatrics and Gynaecology, University of Verona, Verona, Italy
- Department of Medicine and Surgery, University of Parma, Parma, Italy
| | - Camilla Sandrini
- Department of Surgery, Dentistry, Pediatrics and Gynaecology, University of Verona, Verona, Italy
| | - Stefano Rossi
- Department of Medicine and Surgery, University of Parma, Parma, Italy
| | - Lorenzo Fassina
- Department of Electrical, Computer and Biomedical Engineering, University of Pavia, Pavia, Italy
| | - Giuseppe Faggian
- Department of Surgery, Dentistry, Pediatrics and Gynaecology, University of Verona, Verona, Italy
| | - Michele Miragoli
- Department of Medicine and Surgery, University of Parma, Parma, Italy
- Humanitas Clinical and Research Center, Rozzano, Italy
| | | |
Collapse
|
7
|
Tomalka A, Röhrle O, Han JC, Pham T, Taberner AJ, Siebert T. Extensive eccentric contractions in intact cardiac trabeculae: revealing compelling differences in contractile behaviour compared to skeletal muscles. Proc Biol Sci 2019; 286:20190719. [PMID: 31138072 DOI: 10.1098/rspb.2019.0719] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Abstract
Force enhancement (FE) is a phenomenon that is present in skeletal muscle. It is characterized by progressive forces upon active stretching-distinguished by a linear rise in force-and enhanced isometric force following stretching (residual FE (RFE)). In skeletal muscle, non-cross-bridge (XB) structures may account for this behaviour. So far, it is unknown whether differences between non-XB structures within the heart and skeletal muscle result in deviating contractile behaviour during and after eccentric contractions. Thus, we investigated the force response of intact cardiac trabeculae during and after isokinetic eccentric muscle contractions (10% of maximum shortening velocity) with extensive magnitudes of stretch (25% of optimum muscle length). The different contributions of XB and non-XB structures to the total muscle force were revealed by using an actomyosin inhibitor. For cardiac trabeculae, we found that the force-length dynamics during long stretch were similar to the total isometric force-length relation. This indicates that no (R)FE is present in cardiac muscle while stretching the muscle from 0.75 to 1.0 optimum muscle length. This finding is in contrast with the results obtained for skeletal muscle, in which (R)FE is present. Our data support the hypothesis that titin stiffness does not increase with activation in cardiac muscle.
Collapse
Affiliation(s)
- André Tomalka
- 1 Department of Motion and Exercise Science, University of Stuttgart , Stuttgart , Germany
| | - Oliver Röhrle
- 2 Institute of Applied Mechanics (Civil Engineering), University of Stuttgart , Stuttgart , Germany.,3 Cluster of Excellence for Simulation Technology (SimTech) , Stuttgart , Germany
| | - June-Chiew Han
- 4 Auckland Bioengineering Institute, The University of Auckland , Auckland , New Zealand
| | - Toan Pham
- 5 Department of Physiology, The University of Auckland , Auckland , New Zealand
| | - Andrew J Taberner
- 4 Auckland Bioengineering Institute, The University of Auckland , Auckland , New Zealand.,6 Department of Engineering Science, The University of Auckland , Auckland , New Zealand
| | - Tobias Siebert
- 1 Department of Motion and Exercise Science, University of Stuttgart , Stuttgart , Germany
| |
Collapse
|
8
|
Dziewięcka E, Wiśniowska-Śmiałek S, Khachatryan L, Karabinowska A, Szymonowicz M, Podolec P, Rubiś P. Relationships between left ventricular geometry and remodeling in dilated cardiomyopathy. Minerva Cardioangiol 2019; 67:261-271. [PMID: 31115242 DOI: 10.23736/s0026-4725.19.04856-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
BACKGROUND Since left ventricular reverse remodeling (LVRR) and sphericity index (SI) are correlated with DCM patients' survival, we attempted to establish the relationship between LVRR, SI and left ventricle (LV) dimensions. METHODS In 70 DCM patients, we measured EF, LV transverse (sLVd) and longitudinal (lLVd) diameters at hospital admission, then after 3 and 12 months. SI was assessed thus: SI=sLVd/lLVd. RESULTS LVRR was present in 32 patients (52%). SI measurements were similar in LVRR-present and -absent groups at baseline (0.71 vs. 0.70) and differed after 3 and 12 months (0.61 vs. 0.72, P<0.005; 0.59 vs. 0.73, P<0.001; respectively). During 12 months, SI and sLVd decreased in the LVRR-present (0.71 vs. 0.61 vs. 0.59, P<0.05; 5.75 vs. 5.00 vs. 4.82 cm, P<0.001; respectively) and increased in the LVRR-absent cohort (0.70 vs. 0.72 vs. 0.73, P<0.001; 6.01 vs. 6.15 vs. 6.67, P<0.001; respectively). lLVd remained stable (8.23 vs. 8.16 vs. 8.38cm; 8.66 vs. 8.85 vs. 9.13 cm; respectively). SI was significantly correlated with sLVd but not with lLVd. At 3-month follow-up, SI (P<0.005, OR=14000 [95% CI: 5 - 3.9*107]) was found to be a significant LVRR predictor via univariate logistic regression. CONCLUSIONS To summarize, changes in sLVd are crucial for changes in LV geometry, whereas lLVd has a negligible effect on this process. The presence of LVRR was not always associated with an improvement in SI and its absence with increase in SI. Since the assessment of SI is less complex than LVRR, SI as a significant LVRR predictor can be useful part of a regular echocardiography examination.
Collapse
Affiliation(s)
- Ewa Dziewięcka
- Department of Cardiac and Vascular Diseases, Medical College, John Paul II Hospital, Jagiellonian University, Krakow, Poland -
| | - Sylwia Wiśniowska-Śmiałek
- Department of Cardiac and Vascular Diseases, Medical College, John Paul II Hospital, Jagiellonian University, Krakow, Poland
| | - Lusine Khachatryan
- Department of Cardiac and Vascular Diseases, Medical Collage, Jagiellonian University, Krakow, Poland
| | - Aleksandra Karabinowska
- Department of Cardiac and Vascular Diseases, Medical Collage, Jagiellonian University, Krakow, Poland
| | - Maria Szymonowicz
- Department of Cardiac and Vascular Diseases, Medical Collage, Jagiellonian University, Krakow, Poland
| | - Piotr Podolec
- Department of Cardiac and Vascular Diseases, Medical College, John Paul II Hospital, Jagiellonian University, Krakow, Poland
| | - Paweł Rubiś
- Department of Cardiac and Vascular Diseases, Medical College, John Paul II Hospital, Jagiellonian University, Krakow, Poland
| |
Collapse
|
9
|
de Tombe PP, ter Keurs HEDJ. Cardiac muscle mechanics: Sarcomere length matters. J Mol Cell Cardiol 2016; 91:148-50. [PMID: 26678623 PMCID: PMC5457809 DOI: 10.1016/j.yjmcc.2015.12.006] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 11/30/2015] [Accepted: 12/07/2015] [Indexed: 10/22/2022]
Affiliation(s)
- Pieter P de Tombe
- Cell and Molecular Physiology, Loyola University Chicago, Maywood IL, USA.
| | - Henk E D J ter Keurs
- Medicine and Medical Physiology, University of Calgary, Calgary, Alberta, Canada
| |
Collapse
|