Pub Date : 2023-09-26DOI: 10.1007/s00498-023-00370-5
Ashutosh Jindal, Debasish Chatterjee, Ravi Banavar
{"title":"Estimates of the size of the domain of the implicit function theorem: a mapping degree-based approach","authors":"Ashutosh Jindal, Debasish Chatterjee, Ravi Banavar","doi":"10.1007/s00498-023-00370-5","DOIUrl":"https://doi.org/10.1007/s00498-023-00370-5","url":null,"abstract":"","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134885865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-19DOI: 10.1007/s00498-023-00368-z
Adnane Saoud, Murat Arcak
{"title":"Characterization, verification and computation of robust controlled invariants for monotone dynamical systems","authors":"Adnane Saoud, Murat Arcak","doi":"10.1007/s00498-023-00368-z","DOIUrl":"https://doi.org/10.1007/s00498-023-00368-z","url":null,"abstract":"","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"175 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135015111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-21DOI: 10.1007/s00498-023-00367-0
P. Wijnbergen, Stephan Trenn
{"title":"Impulse-controllability of system classes of switched differential algebraic equations","authors":"P. Wijnbergen, Stephan Trenn","doi":"10.1007/s00498-023-00367-0","DOIUrl":"https://doi.org/10.1007/s00498-023-00367-0","url":null,"abstract":"","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"34 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81105936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-18DOI: 10.1007/s00498-023-00366-1
M. Nagahara, Y. Yamamoto
{"title":"A survey on compressed sensing approach to systems and control","authors":"M. Nagahara, Y. Yamamoto","doi":"10.1007/s00498-023-00366-1","DOIUrl":"https://doi.org/10.1007/s00498-023-00366-1","url":null,"abstract":"","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"90 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80427322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-03DOI: 10.1007/s00498-023-00362-5
Irina Kareva, Jana L. Gevertz
Cytokine storm is a life-threatening inflammatory response characterized by hyperactivation of the immune system. It can be caused by various therapies, auto-immune conditions, or pathogens, such as respiratory syndrome coronavirus 2 which causes coronavirus disease COVID-19. Here we propose a conceptual mathematical model describing the phenomenology of cytokine-immune interactions when a tumor is treated by an exogenous immune cell agonist which has the potential to cause a cytokine storm, such as CAR T cell therapy. Numerical simulations reveal that as a function of just two model parameters, the same drug dose and regimen could result in one of four outcomes: treatment success without a storm, treatment success with a storm, treatment failure without a storm, and treatment failure with a storm. We then explore a scenario in which tumor control is accompanied by a storm and ask if it is possible to modulate the duration and frequency of drug administration (without changing the cumulative dose) in order to preserve efficacy while preventing the storm. Simulations reveal existence of a “sweet spot” in protocol space (number versus spacing of doses) for which tumor control is achieved without inducing a cytokine storm. This theoretical model, which contains a number of parameters that can be estimated experimentally, contributes to our understanding of what triggers a cytokine storm, and how the likelihood of its occurrence can be mitigated.
{"title":"Cytokine storm mitigation for exogenous immune agonists","authors":"Irina Kareva, Jana L. Gevertz","doi":"10.1007/s00498-023-00362-5","DOIUrl":"https://doi.org/10.1007/s00498-023-00362-5","url":null,"abstract":"Cytokine storm is a life-threatening inflammatory response characterized by hyperactivation of the immune system. It can be caused by various therapies, auto-immune conditions, or pathogens, such as respiratory syndrome coronavirus 2 which causes coronavirus disease COVID-19. Here we propose a conceptual mathematical model describing the phenomenology of cytokine-immune interactions when a tumor is treated by an exogenous immune cell agonist which has the potential to cause a cytokine storm, such as CAR T cell therapy. Numerical simulations reveal that as a function of just two model parameters, the same drug dose and regimen could result in one of four outcomes: treatment success without a storm, treatment success with a storm, treatment failure without a storm, and treatment failure with a storm. We then explore a scenario in which tumor control is accompanied by a storm and ask if it is possible to modulate the duration and frequency of drug administration (without changing the cumulative dose) in order to preserve efficacy while preventing the storm. Simulations reveal existence of a “sweet spot” in protocol space (number versus spacing of doses) for which tumor control is achieved without inducing a cytokine storm. This theoretical model, which contains a number of parameters that can be estimated experimentally, contributes to our understanding of what triggers a cytokine storm, and how the likelihood of its occurrence can be mitigated.","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136231067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-29DOI: 10.1007/s00498-023-00363-4
V. Maksimov
{"title":"On stable solution of the problem of disturbance reduction in a linear dynamical system","authors":"V. Maksimov","doi":"10.1007/s00498-023-00363-4","DOIUrl":"https://doi.org/10.1007/s00498-023-00363-4","url":null,"abstract":"","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"2 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75808266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s00498-023-00361-6
Debojyoti Biswas, Parijat Banerjee, Pablo A. Iglesias
Cells rely on the ability to sense and respond to small spatial differences in chemoattractant concentrations for survival. There is growing evidence that this is accomplished by setting the signaling system near the threshold for activation in an excitable system and using the spatial heterogeneities to alter the threshold, thereby biasing cell activity in the direction of the gradient. Here we consider a scheme by which the set point is adaptively set near the bifurcation point, but without explicit knowledge of this point. Through simulation, we show that the method would improve chemotactic efficiency of cells. The results of this paper are based on pioneering work by Eduardo Sontag and coworkers, to whom this paper is dedicated in honor of his 70th birthday.
{"title":"Balancing at the edge of excitability: implications for cell movement","authors":"Debojyoti Biswas, Parijat Banerjee, Pablo A. Iglesias","doi":"10.1007/s00498-023-00361-6","DOIUrl":"https://doi.org/10.1007/s00498-023-00361-6","url":null,"abstract":"<p>Cells rely on the ability to sense and respond to small spatial differences in chemoattractant concentrations for survival. There is growing evidence that this is accomplished by setting the signaling system near the threshold for activation in an excitable system and using the spatial heterogeneities to alter the threshold, thereby biasing cell activity in the direction of the gradient. Here we consider a scheme by which the set point is adaptively set near the bifurcation point, but without explicit knowledge of this point. Through simulation, we show that the method would improve chemotactic efficiency of cells. The results of this paper are based on pioneering work by Eduardo Sontag and coworkers, to whom this paper is dedicated in honor of his 70th birthday.</p>","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"80 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-12DOI: 10.1007/s00498-023-00360-7
Jiening Zhu, Anh Phong Tran, Joseph O. Deasy, Allen Tannenbaum
In this work, we introduce a new mathematical framework based on network curvature to extract significant cancer subtypes from multi-omics data. This extends our previous work that was based on analyzing a fixed single-omics data class (e.g., CNA, gene expression, methylation, etc.). Notably, we are able to show that this new methodology provided us with significant survival differences on Kaplan–Meier curves across almost every cancer considered. Moreover, the variances in Ollivier–Ricci curvature were explored to investigate its usefulness in network geometry analysis as this curvature has the potential to capture subtle functional changes between various cancer subtypes.
{"title":"Multi-omic integrated curvature study on pan-cancer genomic data","authors":"Jiening Zhu, Anh Phong Tran, Joseph O. Deasy, Allen Tannenbaum","doi":"10.1007/s00498-023-00360-7","DOIUrl":"https://doi.org/10.1007/s00498-023-00360-7","url":null,"abstract":"<p>In this work, we introduce a new mathematical framework based on network curvature to extract significant cancer subtypes from multi-omics data. This extends our previous work that was based on analyzing a fixed single-omics data class (e.g., CNA, gene expression, methylation, etc.). Notably, we are able to show that this new methodology provided us with significant survival differences on Kaplan–Meier curves across almost every cancer considered. Moreover, the variances in Ollivier–Ricci curvature were explored to investigate its usefulness in network geometry analysis as this curvature has the potential to capture subtle functional changes between various cancer subtypes.</p>","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"8 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-30DOI: 10.1007/s00498-023-00359-0
P. Grandits
{"title":"Some global topological properties of a free boundary problem appearing in a two dimensional controlled ruin problem","authors":"P. Grandits","doi":"10.1007/s00498-023-00359-0","DOIUrl":"https://doi.org/10.1007/s00498-023-00359-0","url":null,"abstract":"","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"10 1","pages":"927 - 949"},"PeriodicalIF":1.2,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83641234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-16DOI: 10.1007/s00498-023-00358-1
W. Youssef, T. Arwadi
{"title":"Stabilization of Bresse system with thermodiffusion effects","authors":"W. Youssef, T. Arwadi","doi":"10.1007/s00498-023-00358-1","DOIUrl":"https://doi.org/10.1007/s00498-023-00358-1","url":null,"abstract":"","PeriodicalId":51123,"journal":{"name":"Mathematics of Control Signals and Systems","volume":"12 1","pages":"905 - 925"},"PeriodicalIF":1.2,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85184317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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