Bounds on the Ultrasensitivity of Biochemical Reaction Cascades
We examined an upper bound for the Hill coefficient of the composition of two functions, namely the product of their individual Hill coefficients. We proved that this upper bound holds for compositions of Hill functions, and that there are instances of counterexamples that exist for more general sigmoidal functions. Additionally, we tested computationally other types of sigmoidal functions, such as the logistic and inverse trigonometric functions, and we provided computational evidence that in these cases the inequality also holds. We show that in large generality there is a limit to how ultrasensitive the composition of t...
Source: Bulletin of Mathematical Biology - April 18, 2024 Category: Bioinformatics Authors: Marcello Pajoh-Casco Abishek Vinujudson German Enciso Source Type: research
A Mathematical Model of TCR-T Cell Therapy for Cervical Cancer
Bull Math Biol. 2024 Apr 16;86(5):57. doi: 10.1007/s11538-024-01261-9.ABSTRACTEngineered T cell receptor (TCR)-expressing T (TCR-T) cells are intended to drive strong anti-tumor responses upon recognition of the specific cancer antigen, resulting in rapid expansion in the number of TCR-T cells and enhanced cytotoxic functions, causing cancer cell death. However, although TCR-T cell therapy against cancers has shown promising results, it remains difficult to predict which patients will benefit from such therapy. We develop a mathematical model to identify mechanisms associated with an insufficient response in a mouse cancer...
Source: Bulletin of Mathematical Biology - April 16, 2024 Category: Bioinformatics Authors: Zuping Wang Heyrim Cho Peter Choyke Doron Levy Noriko Sato Source Type: research
Integrating Diversity, Equity, and Inclusion into Preclinical, Clinical, and Public Health Mathematical Models
Bull Math Biol. 2024 Apr 16;86(5):56. doi: 10.1007/s11538-024-01282-4.ABSTRACTMathematical modelling applied to preclinical, clinical, and public health research is critical for our understanding of a multitude of biological principles. Biology is fundamentally heterogeneous, and mathematical modelling must meet the challenge of variability head on to ensure the principles of diversity, equity, and inclusion (DEI) are integrated into quantitative analyses. Here we provide a follow-up perspective on the DEI plenary session held at the 2023 Society for Mathematical Biology Annual Meeting to discuss key issues for the increas...
Source: Bulletin of Mathematical Biology - April 16, 2024 Category: Bioinformatics Authors: Justin Sheen Lee Curtin Stacey Finley Anna Konstorum Reginald McGee Morgan Craig Source Type: research
Minimal Mechanisms of Microtubule Length Regulation in Living Cells
Bull Math Biol. 2024 Apr 16;86(5):58. doi: 10.1007/s11538-024-01279-z.ABSTRACTThe microtubule cytoskeleton is responsible for sustained, long-range intracellular transport of mRNAs, proteins, and organelles in neurons. Neuronal microtubules must be stable enough to ensure reliable transport, but they also undergo dynamic instability, as their plus and minus ends continuously switch between growth and shrinking. This process allows for continuous rebuilding of the cytoskeleton and for flexibility in injury settings. Motivated by in vivo experimental data on microtubule behavior in Drosophila neurons, we propose a mathematic...
Source: Bulletin of Mathematical Biology - April 16, 2024 Category: Bioinformatics Authors: Anna C Nelson Melissa M Rolls Maria-Veronica Ciocanel Scott A McKinley Source Type: research
A Mathematical Model of TCR-T Cell Therapy for Cervical Cancer
Bull Math Biol. 2024 Apr 16;86(5):57. doi: 10.1007/s11538-024-01261-9.ABSTRACTEngineered T cell receptor (TCR)-expressing T (TCR-T) cells are intended to drive strong anti-tumor responses upon recognition of the specific cancer antigen, resulting in rapid expansion in the number of TCR-T cells and enhanced cytotoxic functions, causing cancer cell death. However, although TCR-T cell therapy against cancers has shown promising results, it remains difficult to predict which patients will benefit from such therapy. We develop a mathematical model to identify mechanisms associated with an insufficient response in a mouse cancer...
Source: Bulletin of Mathematical Biology - April 16, 2024 Category: Bioinformatics Authors: Zuping Wang Heyrim Cho Peter Choyke Doron Levy Noriko Sato Source Type: research
Integrating Diversity, Equity, and Inclusion into Preclinical, Clinical, and Public Health Mathematical Models
Bull Math Biol. 2024 Apr 16;86(5):56. doi: 10.1007/s11538-024-01282-4.ABSTRACTMathematical modelling applied to preclinical, clinical, and public health research is critical for our understanding of a multitude of biological principles. Biology is fundamentally heterogeneous, and mathematical modelling must meet the challenge of variability head on to ensure the principles of diversity, equity, and inclusion (DEI) are integrated into quantitative analyses. Here we provide a follow-up perspective on the DEI plenary session held at the 2023 Society for Mathematical Biology Annual Meeting to discuss key issues for the increas...
Source: Bulletin of Mathematical Biology - April 16, 2024 Category: Bioinformatics Authors: Justin Sheen Lee Curtin Stacey Finley Anna Konstorum Reginald McGee Morgan Craig Source Type: research
Minimal Mechanisms of Microtubule Length Regulation in Living Cells
Bull Math Biol. 2024 Apr 16;86(5):58. doi: 10.1007/s11538-024-01279-z.ABSTRACTThe microtubule cytoskeleton is responsible for sustained, long-range intracellular transport of mRNAs, proteins, and organelles in neurons. Neuronal microtubules must be stable enough to ensure reliable transport, but they also undergo dynamic instability, as their plus and minus ends continuously switch between growth and shrinking. This process allows for continuous rebuilding of the cytoskeleton and for flexibility in injury settings. Motivated by in vivo experimental data on microtubule behavior in Drosophila neurons, we propose a mathematic...
Source: Bulletin of Mathematical Biology - April 16, 2024 Category: Bioinformatics Authors: Anna C Nelson Melissa M Rolls Maria-Veronica Ciocanel Scott A McKinley Source Type: research
Understanding and Quantifying Network Robustness to Stochastic Inputs
Bull Math Biol. 2024 Apr 12;86(5):55. doi: 10.1007/s11538-024-01283-3.ABSTRACTA variety of biomedical systems are modeled by networks of deterministic differential equations with stochastic inputs. In some cases, the network output is remarkably constant despite a randomly fluctuating input. In the context of biochemistry and cell biology, chemical reaction networks and multistage processes with this property are called robust. Similarly, the notion of a forgiving drug in pharmacology is a medication that maintains therapeutic effect despite lapses in patient adherence to the prescribed regimen. What makes a network robust...
Source: Bulletin of Mathematical Biology - April 12, 2024 Category: Bioinformatics Authors: Hwai-Ray Tung Sean D Lawley Source Type: research
Understanding and Quantifying Network Robustness to Stochastic Inputs
Bull Math Biol. 2024 Apr 12;86(5):55. doi: 10.1007/s11538-024-01283-3.ABSTRACTA variety of biomedical systems are modeled by networks of deterministic differential equations with stochastic inputs. In some cases, the network output is remarkably constant despite a randomly fluctuating input. In the context of biochemistry and cell biology, chemical reaction networks and multistage processes with this property are called robust. Similarly, the notion of a forgiving drug in pharmacology is a medication that maintains therapeutic effect despite lapses in patient adherence to the prescribed regimen. What makes a network robust...
Source: Bulletin of Mathematical Biology - April 12, 2024 Category: Bioinformatics Authors: Hwai-Ray Tung Sean D Lawley Source Type: research
Mathematical Modelling of Parasite Dynamics: A Stochastic Simulation-Based Approach and Parameter Estimation via Modified Sequential-Type Approximate Bayesian Computation
Bull Math Biol. 2024 Apr 10;86(5):54. doi: 10.1007/s11538-024-01281-5.ABSTRACTThe development of mathematical models for studying newly emerging and re-emerging infectious diseases has gained momentum due to global events. The gyrodactylid-fish system, like many host-parasite systems, serves as a valuable resource for ecological, evolutionary, and epidemiological investigations owing to its ease of experimental manipulation and long-term monitoring. Although this system has an existing individual-based model, it falls short in capturing information about species-specific microhabitat preferences and other biological detail...
Source: Bulletin of Mathematical Biology - April 10, 2024 Category: Bioinformatics Authors: Clement Twumasi Joanne Cable Andrey Pepelyshev Source Type: research
Mathematical Modelling of Parasite Dynamics: A Stochastic Simulation-Based Approach and Parameter Estimation via Modified Sequential-Type Approximate Bayesian Computation
Bull Math Biol. 2024 Apr 10;86(5):54. doi: 10.1007/s11538-024-01281-5.ABSTRACTThe development of mathematical models for studying newly emerging and re-emerging infectious diseases has gained momentum due to global events. The gyrodactylid-fish system, like many host-parasite systems, serves as a valuable resource for ecological, evolutionary, and epidemiological investigations owing to its ease of experimental manipulation and long-term monitoring. Although this system has an existing individual-based model, it falls short in capturing information about species-specific microhabitat preferences and other biological detail...
Source: Bulletin of Mathematical Biology - April 10, 2024 Category: Bioinformatics Authors: Clement Twumasi Joanne Cable Andrey Pepelyshev Source Type: research
Advice to a Young Mathematical Biologist
Bull Math Biol. 2024 Apr 9;86(5):52. doi: 10.1007/s11538-024-01269-1.ABSTRACTThis paper offers advice to early-mid career researchers in Mathematical Biology from ten past and current Presidents of the Society for Mathematical Biology. The topics covered include deciding if a career in academia is right for you; finding and working with a mentor; building collaborations and working with those from other disciplines; formulating a research question; writing a paper; reviewing papers; networking; writing fellowship or grant proposals; applying for faculty positions; and preparing and giving lectures. While written with mathe...
Source: Bulletin of Mathematical Biology - April 9, 2024 Category: Bioinformatics Authors: Paul A Roberts Source Type: research
Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice
Bull Math Biol. 2024 Apr 9;86(5):53. doi: 10.1007/s11538-024-01284-2.ABSTRACTAnalyzing the impact of the adaptive immune response during acute hepatitis B virus (HBV) infection is essential for understanding disease progression and control. Here we developed mathematical models of HBV infection which either lack terms for adaptive immune responses, or assume adaptive immune responses in the form of cytolytic immune killing, non-cytolytic immune cure, or non-cytolytic-mediated block of viral production. We validated the model that does not include immune responses against temporal serum hepatitis B DNA (sHBV) and temporal s...
Source: Bulletin of Mathematical Biology - April 9, 2024 Category: Bioinformatics Authors: Stanca M Ciupe Harel Dahari Alexander Ploss Source Type: research
Advice to a Young Mathematical Biologist
Bull Math Biol. 2024 Apr 9;86(5):52. doi: 10.1007/s11538-024-01269-1.ABSTRACTThis paper offers advice to early-mid career researchers in Mathematical Biology from ten past and current Presidents of the Society for Mathematical Biology. The topics covered include deciding if a career in academia is right for you; finding and working with a mentor; building collaborations and working with those from other disciplines; formulating a research question; writing a paper; reviewing papers; networking; writing fellowship or grant proposals; applying for faculty positions; and preparing and giving lectures. While written with mathe...
Source: Bulletin of Mathematical Biology - April 9, 2024 Category: Bioinformatics Authors: Paul A Roberts Source Type: research
Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice
Bull Math Biol. 2024 Apr 9;86(5):53. doi: 10.1007/s11538-024-01284-2.ABSTRACTAnalyzing the impact of the adaptive immune response during acute hepatitis B virus (HBV) infection is essential for understanding disease progression and control. Here we developed mathematical models of HBV infection which either lack terms for adaptive immune responses, or assume adaptive immune responses in the form of cytolytic immune killing, non-cytolytic immune cure, or non-cytolytic-mediated block of viral production. We validated the model that does not include immune responses against temporal serum hepatitis B DNA (sHBV) and temporal s...
Source: Bulletin of Mathematical Biology - April 9, 2024 Category: Bioinformatics Authors: Stanca M Ciupe Harel Dahari Alexander Ploss Source Type: research
