**His and her mathematical models of physiological systems**

Math Biosci. 2021 Jun 10:108642. doi: 10.1016/j.mbs.2021.108642. Online ahead of print.ABSTRACTBeyond the reproductive system and reproductive behaviors, men and women exhibit major differences in many organ systems, including the anatomy of the brain, the activities of the stress and immune systems, and the metabolic and cardiovascular functions. A comprehensive understanding of the impact of these sex differences on health and disease is crucial to the development of effective sex-based therapies. Mathematical modeling has the potential of facilitating and contributing to advancing the understanding of sex differences in...

**Source: **Mathematical Biosciences - June 13, 2021 **Category: **Statistics **Authors: **Anita T Layton **Source Type: **research

**On the role of vesicle transport in neurite growth: Modelling and experiments**

Math Biosci. 2021 Jun 1:108632. doi: 10.1016/j.mbs.2021.108632. Online ahead of print.ABSTRACTThe processes that determine the establishment of the complex morphology of neurons during development are still poorly understood. Here, we focus on the question how a difference in the length of neurites affects vesicle transport. We performed live imaging experiments and present a lattice-based model to gain a deeper theoretical understanding of intracellular transport in neurons. After a motivation and appropriate scaling of the model we present numerical simulations showing that initial differences in neurite length result in...

**Source: **Mathematical Biosciences - June 4, 2021 **Category: **Statistics **Authors: **Ina Humpert Danila Di Meo Andreas W P üschel Jan-Frederik Pietschmann **Source Type: **research

**On the role of vesicle transport in neurite growth: Modelling and experiments**

Math Biosci. 2021 Jun 1:108632. doi: 10.1016/j.mbs.2021.108632. Online ahead of print.ABSTRACTThe processes that determine the establishment of the complex morphology of neurons during development are still poorly understood. Here, we focus on the question how a difference in the length of neurites affects vesicle transport. We performed live imaging experiments and present a lattice-based model to gain a deeper theoretical understanding of intracellular transport in neurons. After a motivation and appropriate scaling of the model we present numerical simulations showing that initial differences in neurite length result in...

**Source: **Mathematical Biosciences - June 4, 2021 **Category: **Statistics **Authors: **Ina Humpert Danila Di Meo Andreas W P üschel Jan-Frederik Pietschmann **Source Type: **research

**On the role of vesicle transport in neurite growth: Modelling and experiments**

Math Biosci. 2021 Jun 1:108632. doi: 10.1016/j.mbs.2021.108632. Online ahead of print.ABSTRACTThe processes that determine the establishment of the complex morphology of neurons during development are still poorly understood. Here, we focus on the question how a difference in the length of neurites affects vesicle transport. We performed live imaging experiments and present a lattice-based model to gain a deeper theoretical understanding of intracellular transport in neurons. After a motivation and appropriate scaling of the model we present numerical simulations showing that initial differences in neurite length result in...

**Source: **Mathematical Biosciences - June 4, 2021 **Category: **Statistics **Authors: **Ina Humpert Danila Di Meo Andreas W P üschel Jan-Frederik Pietschmann **Source Type: **research

**On the role of vesicle transport in neurite growth: Modelling and experiments**

Math Biosci. 2021 Jun 1:108632. doi: 10.1016/j.mbs.2021.108632. Online ahead of print.ABSTRACTThe processes that determine the establishment of the complex morphology of neurons during development are still poorly understood. Here, we focus on the question how a difference in the length of neurites affects vesicle transport. We performed live imaging experiments and present a lattice-based model to gain a deeper theoretical understanding of intracellular transport in neurons. After a motivation and appropriate scaling of the model we present numerical simulations showing that initial differences in neurite length result in...

**Source: **Mathematical Biosciences - June 4, 2021 **Category: **Statistics **Authors: **Ina Humpert Danila Di Meo Andreas W P üschel Jan-Frederik Pietschmann **Source Type: **research

**On the role of vesicle transport in neurite growth: Modelling and experiments**

Math Biosci. 2021 Jun 1:108632. doi: 10.1016/j.mbs.2021.108632. Online ahead of print.ABSTRACTThe processes that determine the establishment of the complex morphology of neurons during development are still poorly understood. Here, we focus on the question how a difference in the length of neurites affects vesicle transport. We performed live imaging experiments and present a lattice-based model to gain a deeper theoretical understanding of intracellular transport in neurons. After a motivation and appropriate scaling of the model we present numerical simulations showing that initial differences in neurite length result in...

**Source: **Mathematical Biosciences - June 4, 2021 **Category: **Statistics **Authors: **Ina Humpert Danila Di Meo Andreas W P üschel Jan-Frederik Pietschmann **Source Type: **research

**On the role of vesicle transport in neurite growth: Modelling and experiments**

Math Biosci. 2021 Jun 1:108632. doi: 10.1016/j.mbs.2021.108632. Online ahead of print.ABSTRACTThe processes that determine the establishment of the complex morphology of neurons during development are still poorly understood. Here, we focus on the question how a difference in the length of neurites affects vesicle transport. We performed live imaging experiments and present a lattice-based model to gain a deeper theoretical understanding of intracellular transport in neurons. After a motivation and appropriate scaling of the model we present numerical simulations showing that initial differences in neurite length result in...

**Source: **Mathematical Biosciences - June 4, 2021 **Category: **Statistics **Authors: **Ina Humpert Danila Di Meo Andreas W P üschel Jan-Frederik Pietschmann **Source Type: **research

**On the role of vesicle transport in neurite growth: Modelling and experiments**

Math Biosci. 2021 Jun 1:108632. doi: 10.1016/j.mbs.2021.108632. Online ahead of print.ABSTRACTThe processes that determine the establishment of the complex morphology of neurons during development are still poorly understood. Here, we focus on the question how a difference in the length of neurites affects vesicle transport. We performed live imaging experiments and present a lattice-based model to gain a deeper theoretical understanding of intracellular transport in neurons. After a motivation and appropriate scaling of the model we present numerical simulations showing that initial differences in neurite length result in...

**Source: **Mathematical Biosciences - June 4, 2021 **Category: **Statistics **Authors: **Ina Humpert Danila Di Meo Andreas W P üschel Jan-Frederik Pietschmann **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibres and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibres and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibres and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibres and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibres and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibres and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibres and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibres and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibers and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibers and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibers and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**Cell orientation under stretch: Stability of a linear viscoelastic model**

Math Biosci. 2021 May 17:108630. doi: 10.1016/j.mbs.2021.108630. Online ahead of print.ABSTRACTThe sensitivity of cells to alterations in the microenvironment and in particular to external mechanical stimuli is significant in many biological and physiological circumstances. In this regard, experimental assays demonstrated that, when a monolayer of cells cultured on an elastic substrate is subject to an external cyclic stretch with a sufficiently high frequency, a reorganization of actin stress fibers and focal adhesions happens in order to reach a stable equilibrium orientation, characterized by a precise angle between the...

**Source: **Mathematical Biosciences - May 20, 2021 **Category: **Statistics **Authors: **Giulio Lucci Chiara Giverso Luigi Preziosi **Source Type: **research

**COVID-19 optimal vaccination policies: A modeling study on efficacy, natural and vaccine-induced immunity responses**

Math Biosci. 2021 May 4;337:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions such as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 ...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos-Liceaga **Source Type: **research

**COVID-19 optimal vaccination policies: A modeling study on efficacy, natural and vaccine-induced immunity responses**

Math Biosci. 2021 May 4;337:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions such as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 ...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos-Liceaga **Source Type: **research

**COVID-19 optimal vaccination policies: A modeling study on efficacy, natural and vaccine-induced immunity responses**

Math Biosci. 2021 May 4;337:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions such as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 ...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos-Liceaga **Source Type: **research

Math Biosci. 2021 May 4;337:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 varia...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos Liceaga **Source Type: **research

Math Biosci. 2021 May 4;337:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 varia...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos Liceaga **Source Type: **research

Math Biosci. 2021 May 4:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 variants ...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos Liceaga **Source Type: **research

Math Biosci. 2021 May 4:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 variants ...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos Liceaga **Source Type: **research

Math Biosci. 2021 May 4:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 variants ...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos Liceaga **Source Type: **research

Math Biosci. 2021 May 4:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 variants ...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos Liceaga **Source Type: **research

Math Biosci. 2021 May 4:108614. doi: 10.1016/j.mbs.2021.108614. Online ahead of print.ABSTRACTAbout a year into the pandemic, COVID-19 accumulates more than two million deaths worldwide. Despite non-pharmaceutical interventions as social distance, mask-wearing, and restrictive lockdown, the daily confirmed cases remain growing. Vaccine developments from Pfizer, Moderna, and Gamaleya Institute reach more than 90% efficacy and sustain the vaccination campaigns in multiple countries. However, natural and vaccine-induced immunity responses remain poorly understood. There are great expectations, but the new SARS-CoV-2 variants ...

**Source: **Mathematical Biosciences - May 7, 2021 **Category: **Statistics **Authors: **Manuel Adrian Acu ña-Zegarra Sa úl Díaz-Infante David Baca-Carrasco Daniel Olmos Liceaga **Source Type: **research

**Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions**

Math Biosci. 2021 Apr 27;337:108621. doi: 10.1016/j.mbs.2021.108621. Online ahead of print.ABSTRACTWhen allocating limited vaccines to control an infectious disease, policy makers frequently have goals relating to individual health benefits (e.g., reduced morbidity and mortality) as well as population-level health benefits (e.g., reduced transmission and possible disease eradication). We consider the optimal allocation of a limited supply of a preventive vaccine to control an infectious disease, and four different allocation objectives: minimize new infections, deaths, life years lost, or quality-adjusted life years (QALYs...

**Source: **Mathematical Biosciences - April 29, 2021 **Category: **Statistics **Authors: **Isabelle J Rao Margaret L Brandeau **Source Type: **research

**Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions**

Math Biosci. 2021 Apr 26;337:108621. doi: 10.1016/j.mbs.2021.108621. Online ahead of print.ABSTRACTWhen allocating limited vaccines to control an infectious disease, policy makers frequently have goals relating to individual health benefits (e.g., reduced morbidity and mortality) as well as population-level health benefits (e.g., reduced transmission and possible disease eradication). We consider the optimal allocation of a limited supply of a preventive vaccine to control an infectious disease, and four different allocation objectives: minimize new infections, deaths, life years lost, or quality-adjusted life years (QALYs...

**Source: **Mathematical Biosciences - April 29, 2021 **Category: **Statistics **Authors: **Isabelle J Rao Margaret L Brandeau **Source Type: **research

**Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions**

Math Biosci. 2021 Apr 26;337:108621. doi: 10.1016/j.mbs.2021.108621. Online ahead of print.ABSTRACTWhen allocating limited vaccines to control an infectious disease, policy makers frequently have goals relating to individual health benefits (e.g., reduced morbidity and mortality) as well as population-level health benefits (e.g., reduced transmission and possible disease eradication). We consider the optimal allocation of a limited supply of a preventive vaccine to control an infectious disease, and four different allocation objectives: minimize new infections, deaths, life years lost, or quality-adjusted life years (QALYs...

**Source: **Mathematical Biosciences - April 29, 2021 **Category: **Statistics **Authors: **Isabelle J Rao Margaret L Brandeau **Source Type: **research

**Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions**

Math Biosci. 2021 Apr 26:108621. doi: 10.1016/j.mbs.2021.108621. Online ahead of print.ABSTRACTWhen allocating limited vaccines to control an infectious disease, policy makers frequently have goals relating to individual health benefits (e.g., reduced morbidity and mortality) as well as population-level health benefits (e.g., reduced transmission and possible disease eradication). We consider the optimal allocation of a limited supply of a preventive vaccine to control an infectious disease, and four different allocation objectives: minimize new infections, deaths, life years lost, or quality-adjusted life years (QALYs) lo...

**Source: **Mathematical Biosciences - April 29, 2021 **Category: **Statistics **Authors: **Isabelle J Rao Margaret L Brandeau **Source Type: **research

**Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions**

Math Biosci. 2021 Apr 26:108621. doi: 10.1016/j.mbs.2021.108621. Online ahead of print.ABSTRACTWhen allocating limited vaccines to control an infectious disease, policy makers frequently have goals relating to individual health benefits (e.g., reduced morbidity and mortality) as well as population-level health benefits (e.g., reduced transmission and possible disease eradication). We consider the optimal allocation of a limited supply of a preventive vaccine to control an infectious disease, and four different allocation objectives: minimize new infections, deaths, life years lost, or quality-adjusted life years (QALYs) lo...

**Source: **Mathematical Biosciences - April 29, 2021 **Category: **Statistics **Authors: **Isabelle J Rao Margaret L Brandeau **Source Type: **research

**Optimal allocation of limited vaccine to control an infectious disease: Simple analytical conditions**

Math Biosci. 2021 Apr 26:108621. doi: 10.1016/j.mbs.2021.108621. Online ahead of print.ABSTRACTWhen allocating limited vaccines to control an infectious disease, policy makers frequently have goals relating to individual health benefits (e.g., reduced morbidity and mortality) as well as population-level health benefits (e.g., reduced transmission and possible disease eradication). We consider the optimal allocation of a limited supply of a preventive vaccine to control an infectious disease, and four different allocation objectives: minimize new infections, deaths, life years lost, or quality-adjusted life years (QALYs) lo...

**Source: **Mathematical Biosciences - April 29, 2021 **Category: **Statistics **Authors: **Isabelle J Rao Margaret L Brandeau **Source Type: **research

**Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading**

Math Biosci. 2021 Apr 19;336:108619. doi: 10.1016/j.mbs.2021.108619. Online ahead of print.ABSTRACTAgent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost though is very high and for stochastic ABMs a lot of individual simulations are required to sample quantities of interest. Especially, large numbers of agents render the sampling infeasible. Model reduction to a metapopulation model leads to a significant gain in computational efficiency, while preserving important dynamical properties. Based on a p...

**Source: **Mathematical Biosciences - April 22, 2021 **Category: **Statistics **Authors: **Stefanie Winkelmann Johannes Zonker Christof Sch ütte Nata ša Djurdjevac Conrad **Source Type: **research

**Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading**

Math Biosci. 2021 Apr 19;336:108619. doi: 10.1016/j.mbs.2021.108619. Online ahead of print.ABSTRACTAgent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost though is very high and for stochastic ABMs a lot of individual simulations are required to sample quantities of interest. Especially, large numbers of agents render the sampling infeasible. Model reduction to a metapopulation model leads to a significant gain in computational efficiency, while preserving important dynamical properties. Based on a p...

**Source: **Mathematical Biosciences - April 22, 2021 **Category: **Statistics **Authors: **Stefanie Winkelmann Johannes Zonker Christof Sch ütte Nata ša Djurdjevac Conrad **Source Type: **research

**Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading**

Math Biosci. 2021 Apr 19;336:108619. doi: 10.1016/j.mbs.2021.108619. Online ahead of print.ABSTRACTAgent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost though is very high and for stochastic ABMs a lot of individual simulations are required to sample quantities of interest. Especially, large numbers of agents render the sampling infeasible. Model reduction to a metapopulation model leads to a significant gain in computational efficiency, while preserving important dynamical properties. Based on a p...

**Source: **Mathematical Biosciences - April 22, 2021 **Category: **Statistics **Authors: **Stefanie Winkelmann Johannes Zonker Christof Sch ütte Nata ša Djurdjevac Conrad **Source Type: **research

**Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading**

Math Biosci. 2021 Apr 19;336:108619. doi: 10.1016/j.mbs.2021.108619. Online ahead of print.ABSTRACTAgent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost though is very high and for stochastic ABMs a lot of individual simulations are required to sample quantities of interest. Especially, large numbers of agents render the sampling infeasible. Model reduction to a metapopulation model leads to a significant gain in computational efficiency, while preserving important dynamical properties. Based on a p...

**Source: **Mathematical Biosciences - April 22, 2021 **Category: **Statistics **Authors: **Stefanie Winkelmann Johannes Zonker Christof Sch ütte Nata ša Djurdjevac Conrad **Source Type: **research

**Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading**

Math Biosci. 2021 Apr 19:108619. doi: 10.1016/j.mbs.2021.108619. Online ahead of print.ABSTRACTAgent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost though is very high and for stochastic ABMs a lot of individual simulations are required to sample quantities of interest. Especially, large numbers of agents render the sampling infeasible. Model reduction to a metapopulation model leads to a significant gain in computational efficiency, while preserving important dynamical properties. Based on a preci...

**Source: **Mathematical Biosciences - April 22, 2021 **Category: **Statistics **Authors: **Stefanie Winkelmann Johannes Zonker Christof Sch ütte Nata ša Djurdjevac Conrad **Source Type: **research

**Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading**

Math Biosci. 2021 Apr 19:108619. doi: 10.1016/j.mbs.2021.108619. Online ahead of print.ABSTRACTAgent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost though is very high and for stochastic ABMs a lot of individual simulations are required to sample quantities of interest. Especially, large numbers of agents render the sampling infeasible. Model reduction to a metapopulation model leads to a significant gain in computational efficiency, while preserving important dynamical properties. Based on a preci...

**Source: **Mathematical Biosciences - April 22, 2021 **Category: **Statistics **Authors: **Stefanie Winkelmann Johannes Zonker Christof Sch ütte Nata ša Djurdjevac Conrad **Source Type: **research

**Model reduction for initial value ODEs**

In this study we extend an algorithm for automatically simplifying systems of initial value ordinary differential equations (Whiteley (2010)) that is based on a posteriori analysis of the full system of equations. Our extensions to the algorithm make the following contributions: (i) each equation in a system of differential equations may be written as a finite sum of contributions (including the derivative term), and any one of these terms may be neglected (if it is appropriate to do so) in the simplified model; and (ii) a simplified model is generated that allows accurate prediction of one or more components of the soluti...

**Source: **Mathematical Biosciences - April 20, 2021 **Category: **Statistics **Authors: **Antonietta Ambuehl Jonathan P Whiteley **Source Type: **research

**Model reduction for initial value ODEs**

In this study we extend an algorithm for automatically simplifying systems of initial value ordinary differential equations (Whiteley (2010)) that is based on a posteriori analysis of the full system of equations. Our extensions to the algorithm make the following contributions: (i) each equation in a system of differential equations may be written as a finite sum of contributions (including the derivative term), and any one of these terms may be neglected (if it is appropriate to do so) in the simplified model; and (ii) a simplified model is generated that allows accurate prediction of one or more components of the soluti...

**Source: **Mathematical Biosciences - April 20, 2021 **Category: **Statistics **Authors: **Antonietta Ambuehl Jonathan P Whiteley **Source Type: **research

**Model reduction for initial value ODEs**

In this study we extend an algorithm for automatically simplifying systems of initial value ordinary differential equations (Whiteley (2010)) that is based on a posteriori analysis of the full system of equations. Our extensions to the algorithm make the following contributions: (i) each equation in a system of differential equations may be written as a finite sum of contributions (including the derivative term), and any one of these terms may be neglected (if it is appropriate to do so) in the simplified model; and (ii) a simplified model is generated that allows accurate prediction of one or more components of the soluti...

**Source: **Mathematical Biosciences - April 20, 2021 **Category: **Statistics **Authors: **Antonietta Ambuehl Jonathan P Whiteley **Source Type: **research

**To Sobol or not to Sobol? The effects of sampling schemes in systems biology applications**

Math Biosci. 2021 Apr 15:108593. doi: 10.1016/j.mbs.2021.108593. Online ahead of print.ABSTRACTComputational and mathematical models in biology rely heavily on the parameters that characterize them. However, robust estimates for their values are typically elusive and thus a large parameter space becomes necessary for model study, particularly to make translationally impactful predictions. Sampling schemes exploring parameter spaces for models are used for a variety of purposes in systems biology, including model calibration and sensitivity analysis. Typically, random sampling is used; however, when models have a high numbe...

**Source: **Mathematical Biosciences - April 18, 2021 **Category: **Statistics **Authors: **Marissa Renardy Louis R Joslyn Jess A Millar Denise E Kirschner **Source Type: **research

**To Sobol or not to Sobol? The effects of sampling schemes in systems biology applications**

Math Biosci. 2021 Apr 15:108593. doi: 10.1016/j.mbs.2021.108593. Online ahead of print.ABSTRACTComputational and mathematical models in biology rely heavily on the parameters that characterize them. However, robust estimates for their values are typically elusive and thus a large parameter space becomes necessary for model study, particularly to make translationally impactful predictions. Sampling schemes exploring parameter spaces for models are used for a variety of purposes in systems biology, including model calibration and sensitivity analysis. Typically, random sampling is used; however, when models have a high numbe...

**Source: **Mathematical Biosciences - April 18, 2021 **Category: **Statistics **Authors: **Marissa Renardy Louis R Joslyn Jess A Millar Denise E Kirschner **Source Type: **research

**On how the power supply shapes microbial survival**

Math Biosci. 2021 Apr 12:108615. doi: 10.1016/j.mbs.2021.108615. Online ahead of print.ABSTRACTUnderstanding how environmental factors affect microbial survival is an important open problem in microbial ecology. Patterns of microbial community structure have been characterized across a wide range of different environmental settings, but the mechanisms generating these patterns remain poorly understood. Here, we use mathematical modelling to investigate fundamental connections between chemical power supply to a system and patterns of microbial survival. We reveal a complex set of interdependences between power supply and di...

**Source: **Mathematical Biosciences - April 15, 2021 **Category: **Statistics **Authors: **David Diego Bjarte Hannisdal H åkon Dahle **Source Type: **research

**On how the power supply shapes microbial survival**

Math Biosci. 2021 Apr 12:108615. doi: 10.1016/j.mbs.2021.108615. Online ahead of print.ABSTRACTUnderstanding how environmental factors affect microbial survival is an important open problem in microbial ecology. Patterns of microbial community structure have been characterized across a wide range of different environmental settings, but the mechanisms generating these patterns remain poorly understood. Here, we use mathematical modelling to investigate fundamental connections between chemical power supply to a system and patterns of microbial survival. We reveal a complex set of interdependences between power supply and di...

**Source: **Mathematical Biosciences - April 15, 2021 **Category: **Statistics **Authors: **David Diego Bjarte Hannisdal H åkon Dahle **Source Type: **research

**On how the power supply shapes microbial survival**

Math Biosci. 2021 Apr 12:108615. doi: 10.1016/j.mbs.2021.108615. Online ahead of print.ABSTRACTUnderstanding how environmental factors affect microbial survival is an important open problem in microbial ecology. Patterns of microbial community structure have been characterized across a wide range of different environmental settings, but the mechanisms generating these patterns remain poorly understood. Here, we use mathematical modelling to investigate fundamental connections between chemical power supply to a system and patterns of microbial survival. We reveal a complex set of interdependences between power supply and di...

**Source: **Mathematical Biosciences - April 15, 2021 **Category: **Statistics **Authors: **David Diego Bjarte Hannisdal H åkon Dahle **Source Type: **research