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    2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics
    Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.
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    Fitzhugh-Nagumo Model
    The FitzHugh–Nagumo model describes a prototype of an excitable system (e.g., a neuron).
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    What Shapes a River: Field Lesson
    This lesson introduces students to field methods and theoretical concepts regarding the factors that shape river environments and ecosystems. Introductory material is followed by instruction in...
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    2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
    Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a...

    Keywords: Galerkin

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    2019-Zhu_EtAl-Partial_differential_equation_modeling_of_rumor_propagation
    This paper defines a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay.
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    Graphical Organizers as Course Road Maps: Using a geologic timescale in a history of life course
    Both major and non-major biology students lack understanding of important evolutionary events, how they are spaced in time, and how they relate back to the earth system. Graphical organizers like...
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    2011-Yanyu_Xiao-Study of Malaria Transmission Dynamics by Mathematical Models
    The novelty lies in the fact that different distribution functions are used to describe the variance of individual latencies. The theoretical results of this project indicate that latencies reduce...
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    Using the Cell Engineer/Detective Approach to Explore Cell Structure and Function
    As instructors of introductory biology courses for majors and non-majors, we have struggled with teaching the concept of cell structure and function in an engaging way.  However, this is a...
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    Calling Bullshit Bates College DCS 105 RByte Slides
    This slide deck is a mix of in-class participation and coding activities which aims to formalize understanding of code.
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    2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
    In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.
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    2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
    For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer...
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    2003-Givens-Bonfima-Direct observation of normal modes in coupled oscillators
    We propose a simple and inexpensive method to directly observe each normal mode of a system of coupled oscillators, as well as to measure its corresponding frequency, without performing Fourier...
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    Discrete Modeling and Structures (Course Materials)
    These are the materials for DCS course offered at Bates College. This is a sampler of structures and ways they are used to model biological and social phenomena.
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    A Team-Based Approach to Course Development Involving Undergraduate Researchers
    Development of an undergraduate laboratory course can be a challenge, because of the need to balance both logistical and pedagogical considerations. We piloted a team-based approach to developing...
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    Using Undergraduate Molecular Biology Labs to Discover Targets of miRNAs in Humans
    Incorporating authentic research experiences into undergraduate labs, while shown to be particularly effective at engaging and retaining students in STEM majors, can be difficult to accomplish...
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    Moths and Frogs and E. coli, Oh My!: Agent-based Modeling of Evolutionary Systems
    In evolution classrooms, introducing and reinforcing the idea of genetic drift and random selection can be challenging, as can be reinforcing appropriate mental models of evolution. Agent-based...
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    Molecular Biology of the Cell (MBoC)
    An online journal focusing upon generally-applicable studies of cell biology.
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    2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
    In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by...
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    How Luxury and Legacy Effects Shape Urban Avifauna in Los Angeles, California
    Is L.A.’s bird population shaped by historic redlining and income inequality? This lesson will introduce luxury and legacy effects hypotheses as they relate to urban avifauna in LA neighborhoods....
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    2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
    The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring...
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