2018
DOI: 10.1002/mma.4908
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A mathematical model of skeletal muscle regeneration

Abstract: A novel mathematical model of skeletal muscle regeneration is introduced. It consists of a system of six ordinary differential equations modeling the response of healthy mammalian skeletal muscle tissue to sudden and severe damage. The system is studied analytically to determine its equilibria and their corresponding stability properties. A sensitivity analysis is also conducted to examine the parameters' influence on the system. A set of numerical simulations is performed to simulate various damage and healin… Show more

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Cited by 11 publications
(7 citation statements)
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“…Second, to prove that Cdk1 is deleted in satellite cells of Cdk1sc − mice at age 1.5 years, ideally, immunostaining should be used to prove that CDK1 expression is down-regulated in satellite cells. But it was technically difficult to verify CDK1 expression in the static state using immunohistochemistry because CDK1 is only expressed during cell division ( Ravnik and Wolgemuth, 1999 ) and skeletal muscle is a stable tissue that undergoes little turnover of nuclei ( Stephenson and Kojouharov, 2018 ). Accordingly, to confirm that Cdk1 was deleted in satellite cells even after 60 weeks of tamoxifen treatment, we performed genotyping instead of immunostaining.…”
Section: Discussionmentioning
confidence: 99%
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“…Second, to prove that Cdk1 is deleted in satellite cells of Cdk1sc − mice at age 1.5 years, ideally, immunostaining should be used to prove that CDK1 expression is down-regulated in satellite cells. But it was technically difficult to verify CDK1 expression in the static state using immunohistochemistry because CDK1 is only expressed during cell division ( Ravnik and Wolgemuth, 1999 ) and skeletal muscle is a stable tissue that undergoes little turnover of nuclei ( Stephenson and Kojouharov, 2018 ). Accordingly, to confirm that Cdk1 was deleted in satellite cells even after 60 weeks of tamoxifen treatment, we performed genotyping instead of immunostaining.…”
Section: Discussionmentioning
confidence: 99%
“…Satellite cells, also known as muscle stem cells, play a significant role in myogenesis and muscle regeneration. Mammalian adult skeletal muscle is a relatively stable tissue that undergoes little cell death or nuclear fission during its normal life cycle ( Chargé and Rudnicki, 2004 ; Stephenson and Kojouharov, 2018 ). Accordingly, satellite cells are in a quiescent cell cycle state under normal conditions ( Relaix and Zammit, 2012 ).…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical models of muscle degradation and regeneration have been proposed to study muscular dystrophies [55]. In [56], a new mathematical model was presented to explore the healing process of healthy skeletal muscle.…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical models of muscle degradation and regeneration have been proposed to study muscular dystrophies [ 55 ]. In [ 56 ], a new mathematical model was presented to explore the healing process of healthy skeletal muscle. In cancer cachexia, the modeling work is limited and focuses on metabolic alterations and energy expenditures [ 57 , 58 ].…”
Section: Introductionmentioning
confidence: 99%
“…Computational neuroscience-modeling techniques (using systems of ordinary differential equations) have been utilized to develop a reliable predictive outcome model for HPA-related issues, such as ultradian and circadian patterns in normal, depressed, post-traumatic stress disorder states, and their comorbid pain [1, 47, 49, 59]. In Prince et al [40], the authors modeled acute pain from a gating mechanism point of view, which assumes the flow of inputs through the spinal cord to the brain as a major contributor for the pain experience, and constructed a biologically plausible mathematical model.…”
Section: Introductionmentioning
confidence: 99%