A Review of Mathematical Models for Muscular Dystrophy: A Systems Biology Approach

Houston, Matthew T.; Cameron, Amanda N.; Gutiérrez, Juan B.

doi:10.1371/currents.md.6af74d0cec0834554dac78f0045cfded

Cited by 2 publications

(1 citation statement)

References 66 publications

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“…Cancer modeling involves a wide range of mathematical formalisms, including ordinary differential equations, partial differential equations, cellular automata, and hybrid approaches, which are used to examine all aspects of the disease evolution and treatment [49][50][51][52][53][54]. 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 Model of Muscle Wasting in Cancer Cachexia

Farhang‐Sardroodi

Wilkie

2020

JCM

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Cancer cachexia is a debilitating condition characterized by an extreme loss of skeletal muscle mass, which negatively impacts patients’ quality of life, reduces their ability to sustain anti-cancer therapies, and increases the risk of mortality. Recent discoveries have identified the myostatin/activin A/ActRIIB pathway as critical to muscle wasting by inducing satellite cell quiescence and increasing muscle-specific ubiquitin ligases responsible for atrophy. Remarkably, pharmacological blockade of the ActRIIB pathway has been shown to reverse muscle wasting and prolong the survival time of tumor-bearing animals. To explore the implications of this signaling pathway and potential therapeutic targets in cachexia, we construct a novel mathematical model of muscle tissue subjected to tumor-derived cachectic factors. The model formulation tracks the intercellular interactions between cancer cell, satellite cell, and muscle cell populations. The model is parameterized by fitting to colon-26 mouse model data, and the analysis provides insight into tissue growth in healthy, cancerous, and post-cachexia treatment conditions. Model predictions suggest that cachexia fundamentally alters muscle tissue health, as measured by the stem cell ratio, and this is only partially recovered by anti-cachexia treatment. Our mathematical findings suggest that after blocking the myostatin/activin A pathway, partial recovery of cancer-induced muscle loss requires the activation and proliferation of the satellite cell compartment with a functional differentiation program.

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Section: Introductionmentioning

confidence: 99%

Mathematical Model of Muscle Wasting in Cancer Cachexia

Farhang‐Sardroodi

Wilkie

2020

JCM

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The FRiND Model: A Mathematical Model for Representing Macrophage Plasticity in Muscular Dystrophy Pathogenesis

Houston

Gutiérrez

2019

Bull Math Biol

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Muscular dystrophy describes generalized progressive muscular weakness due to the wasting of muscle fibers. The progression of the disease is affected by known immunological and mechanical factors, and possibly other unknown mechanisms. This article introduces a new mathematical model, the FRiND model, to further elucidate these known immunological actions. We will perform stability and sensitivity analyses on this model. The models time course results will be verified by biological studies in the literature. This model could be the foundation for further understanding of immunological muscle repair.

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A Review of Mathematical Models for Muscular Dystrophy: A Systems Biology Approach

Cited by 2 publications

References 66 publications

Mathematical Model of Muscle Wasting in Cancer Cachexia

Mathematical Model of Muscle Wasting in Cancer Cachexia

The FRiND Model: A Mathematical Model for Representing Macrophage Plasticity in Muscular Dystrophy Pathogenesis

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